Details

analyze293.0ms (2.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	8
29.9%	29.7%	69.5%	0.1%	0.8%	0%	0%	9
31%	30.4%	67.9%	0.1%	1.6%	0%	0%	10
37.3%	36.3%	61.1%	0.1%	2.5%	0%	0%	11
38.3%	36.9%	59.5%	0.1%	3.5%	0%	0%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.9s (24.7%)

Results

1.2s	1112×	body	2048	valid
705.0ms	1833×	body	1024	valid
548.0ms	4481×	body	256	valid
213.0ms	65×	body	4096	valid
184.0ms	765×	body	512	valid
38.0ms	310×	body	256	infinite
3.0ms	6×	body	2048	infinite
1.0ms	1×	body	8192	exit

Bogosity

preprocess223.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

752×	`fma-def`
724×	`associate-+l-`
678×	`associate-/r*`
666×	`distribute-lft-in`
614×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	90
1	47	78
2	109	78
3	277	78
4	587	78
5	888	78
6	1237	78
7	1718	78
8	3057	78
9	4868	78
10	6114	78
11	6152	78
12	6182	78
13	6206	78
14	6492	78
15	6588	78
16	7386	78
17	7386	78
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) F) (.f64 (/.f64 1 (.f64 l l)) (tan.f64 (.f64 (PI.f64) F))))

Outputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) F) (.f64 (/.f64 1 (.f64 l l)) (tan.f64 (.f64 (PI.f64) F))))
(-.f64 (.f64 (PI.f64) F) (/.f64 (tan.f64 (.f64 (PI.f64) F)) (*.f64 l l)))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

278×	`fma-def`
236×	`associate-r`
136×	`*-commutative`
132×	`+-commutative`
124×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	29	39
2	61	39
3	147	39
4	307	39
5	450	39
6	617	39
7	774	39
8	1068	39
9	1397	39
10	1466	39

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Outputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

eval1.0ms (0%)

Compiler: Compiled 28 to 12 computations (57.1% saved)

prune1.0ms (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

17.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	17.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 30 to 18 computations (40% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (PI.f64) l)
✓	1.1b	(/.f64 1 (*.f64 F F))
✓	4.3b	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	34.5b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series9.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	F	@	0	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
1.0ms	l	@	0	(tan.f64 (*.f64 (PI.f64) l))
1.0ms	l	@	0	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
1.0ms	F	@	inf	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
1.0ms	l	@	inf	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))

rewrite98.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1192×	`associate-*r/`
936×	`associate-*l/`
924×	`unswap-sqr`
740×	`swap-sqr`
628×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	258	54
2	3148	54

Stop Event

1×	node limit

Counts

4 → 233

Calls

Call 1

Inputs
(tan.f64 (*.f64 (PI.f64) l))
(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 1 (*.f64 F F))
(*.f64 (PI.f64) l)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 (.f64 (PI.f64) l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (tan.f64 (.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (tan.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 1 (cos.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (sqrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))))) (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (sqrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2)) (cbrt.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2)) (cbrt.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 1 (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 1 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (/.f64 1 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 1 (/.f64 1 (cos.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 (.f64 (PI.f64) l))) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sqrt.f64 (sin.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) l))) (cbrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (cbrt.f64 (sin.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) 1) (cos.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (neg.f64 (cos.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (sqrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (cbrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) 1) (neg.f64 (cos.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 (PI.f64) l))) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2)) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) 1) (cos.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (neg.f64 (cos.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 F -2) (/.f64 1 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 F (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (.f64 F F) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (/.f64 F (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)) (cbrt.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 F) (/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (.f64 F (neg.f64 F)) (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (.f64 (.f64 F (neg.f64 F)) (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (.f64 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(tan.f64 (.f64 (PI.f64) l))) F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3) (pow.f64 (pow.f64 F -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 F -2) 3) (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 F -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 F -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 F -2)) (/.f64 (/.f64 1 F) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)) (cbrt.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (/.f64 -1 F) F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 -1 F) F) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 F 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 F) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (pow.f64 F -2))) (.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (cbrt.f64 (pow.f64 F -2))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (cbrt.f64 (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (/.f64 1 F)) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))) (.f64 (cbrt.f64 (/.f64 1 F)) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 F -2)) (sqrt.f64 (cbrt.f64 (pow.f64 F -2)))) (.f64 (cbrt.f64 (pow.f64 F -2)) (sqrt.f64 (cbrt.f64 (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F))) (cbrt.f64 (/.f64 1 F))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F))) (cbrt.f64 (/.f64 1 F))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 F -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 F F) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 F -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 F -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 F -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 F) F))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 F -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -2 (log.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 F) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 -2 (log.f64 F)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 F -2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (PI.f64) l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (PI.f64) l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))))))

simplify136.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1462×	`times-frac`
970×	`associate-r`
930×	`associate-l`
814×	`associate-/r*`
604×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	597	10137
1	1506	9641
2	7698	9641

Stop Event

1×	node limit

Counts

293 → 325

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (.f64 -1/720 (pow.f64 (PI.f64) 7))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
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(/.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 F -2)) F) (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 F))
(/.f64 (.f64 (/.f64 -1 F) (tan.f64 (.f64 (PI.f64) l))) (neg.f64 F))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) 1) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))
(/.f64 (.f64 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l))) 1) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) 1) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) 1) 1) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 1 F)) 1) (.f64 (cos.f64 (*.f64 (PI.f64) l)) F))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) -1) 1) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) 1) (.f64 F (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 (PI.f64) l))) (.f64 (pow.f64 F -2) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2)) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (.f64 (cbrt.f64 (pow.f64 F -2)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (cbrt.f64 F))
(/.f64 (.f64 -1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (neg.f64 F))
(/.f64 (.f64 (sqrt.f64 -1) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (sqrt.f64 (*.f64 F (neg.f64 F))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (sqrt.f64 F))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (sqrt.f64 F))
(/.f64 (.f64 1 (.f64 (cbrt.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (pow.f64 F 4)))
(/.f64 (.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2))) (cbrt.f64 (pow.f64 F 4)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 F F))) 1)
(/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) F)
(/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (cbrt.f64 (pow.f64 F 4)))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (sqrt.f64 F)) (.f64 (sqrt.f64 F) F))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (sqrt.f64 F))) (sqrt.f64 F))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (pow.f64 (cbrt.f64 F) 2))) (cbrt.f64 F))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (sqrt.f64 F)) (sqrt.f64 F))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (sqrt.f64 (cbrt.f64 (pow.f64 F 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (/.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) 1) (.f64 F (neg.f64 F)))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (neg.f64 F))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (pow.f64 F 4))) (neg.f64 (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (/.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) -1) (.f64 F F))
(/.f64 (/.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (sqrt.f64 (.f64 F (neg.f64 F)))) (sqrt.f64 (*.f64 F (neg.f64 F))))
(/.f64 (/.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 (cbrt.f64 (.f64 F (neg.f64 F))) (cbrt.f64 (.f64 F (neg.f64 F))))) (cbrt.f64 (*.f64 F (neg.f64 F))))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 (cbrt.f64 (pow.f64 F 4)))) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (/.f64 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l))) 1) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (/.f64 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l))) (.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) 1) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 F)) (cbrt.f64 F))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) (sqrt.f64 (pow.f64 (cbrt.f64 F) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (cbrt.f64 (pow.f64 F 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 3)
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)
(neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
(sqrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3) (pow.f64 (pow.f64 F -2) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 F -2) 3) (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3)))
(expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(exp.f64 (log.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(exp.f64 (.f64 (log.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1))
(log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 F -2))) 1)
(*.f64 1 (pow.f64 F -2))
(*.f64 (pow.f64 F -2) 1)
(*.f64 (cbrt.f64 (pow.f64 F -2)) (/.f64 (/.f64 1 F) (cbrt.f64 F)))
(*.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)) (cbrt.f64 (pow.f64 F -2)))
(*.f64 (/.f64 1 F) (/.f64 1 F))
(*.f64 -1 (/.f64 (/.f64 -1 F) F))
(*.f64 (/.f64 (/.f64 -1 F) F) -1)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 F 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 F) 2) -1))
(.f64 (.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (pow.f64 F -2))) (*.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (pow.f64 F -2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (cbrt.f64 (pow.f64 F -2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (cbrt.f64 (pow.f64 F -2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))))
(.f64 (.f64 (cbrt.f64 (/.f64 1 F)) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))) (*.f64 (cbrt.f64 (/.f64 1 F)) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 F -2)) (sqrt.f64 (cbrt.f64 (pow.f64 F -2)))) (*.f64 (cbrt.f64 (pow.f64 F -2)) (sqrt.f64 (cbrt.f64 (pow.f64 F -2)))))
(.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F))) (cbrt.f64 (/.f64 1 F))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F))) (cbrt.f64 (/.f64 1 F))))
(pow.f64 F -2)
(pow.f64 (*.f64 F F) -1)
(pow.f64 (pow.f64 F -2) 1)
(pow.f64 (cbrt.f64 (pow.f64 F -2)) 3)
(pow.f64 (pow.f64 (pow.f64 F -2) 3) 1/3)
(pow.f64 (/.f64 1 F) 2)
(neg.f64 (/.f64 (/.f64 -1 F) F))
(sqrt.f64 (/.f64 1 (pow.f64 F 4)))
(log.f64 (exp.f64 (pow.f64 F -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 F -2))))
(cbrt.f64 (pow.f64 (pow.f64 F -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 F -2)))
(exp.f64 (*.f64 -2 (log.f64 F)))
(exp.f64 (.f64 (.f64 (log.f64 F) 2) -1))
(exp.f64 (.f64 (.f64 -2 (log.f64 F)) 1))
(log1p.f64 (expm1.f64 (pow.f64 F -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) l))) 1)
(pow.f64 (*.f64 (PI.f64) l) 1)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))
(log.f64 (pow.f64 (exp.f64 l) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) l))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))
(cbrt.f64 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))
(exp.f64 (log.f64 (*.f64 (PI.f64) l)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) l)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))

Outputs
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(fma.f64 l (PI.f64) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3)))
(fma.f64 l (PI.f64) (.f64 (pow.f64 (.f64 l (PI.f64)) 3) 1/3))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3))))
(fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (+.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 2))))) (.f64 (pow.f64 (.f64 l (PI.f64)) 3) 1/3)))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (.f64 -1/720 (pow.f64 (PI.f64) 7))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(fma.f64 l (PI.f64) (fma.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3)))))
(fma.f64 l (PI.f64) (fma.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 5) (+.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 2))))) (.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
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(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (cbrt.f64 (pow.f64 F 4)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2) (/.f64 (cbrt.f64 (pow.f64 F 4)) (cbrt.f64 (.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (sqrt.f64 F)) (.f64 (sqrt.f64 F) F))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (sqrt.f64 F))) (sqrt.f64 F))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (pow.f64 (cbrt.f64 F) 2))) (cbrt.f64 F))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (sqrt.f64 F)) (sqrt.f64 F))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (sqrt.f64 (cbrt.f64 (pow.f64 F 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F 4))) F)) (sqrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F 4))) (fabs.f64 (cbrt.f64 F))) F))
(/.f64 (/.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) 1) (.f64 F (neg.f64 F)))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (neg.f64 F))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (pow.f64 F 4))) (neg.f64 (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 (cbrt.f64 F) 2) (cbrt.f64 (pow.f64 F 4))))
(/.f64 (/.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) -1) (.f64 F F))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (sqrt.f64 (.f64 F (neg.f64 F)))) (sqrt.f64 (*.f64 F (neg.f64 F))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 (cbrt.f64 (.f64 F (neg.f64 F))) (cbrt.f64 (.f64 F (neg.f64 F))))) (cbrt.f64 (*.f64 F (neg.f64 F))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 (cbrt.f64 (pow.f64 F 4)))) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 (cbrt.f64 F) 2) (cbrt.f64 (pow.f64 F 4))))
(/.f64 (/.f64 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l))) 1) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l))) (.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) 1) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 (cbrt.f64 F) 2) (cbrt.f64 (pow.f64 F 4))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 F)) (cbrt.f64 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 (cbrt.f64 F) 2) (cbrt.f64 (pow.f64 F 4))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) (sqrt.f64 (pow.f64 (cbrt.f64 F) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 (cbrt.f64 F) 2) (cbrt.f64 (pow.f64 F 4))))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 (cbrt.f64 F) 2) (cbrt.f64 (pow.f64 F 4))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (cbrt.f64 (pow.f64 F 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (cbrt.f64 (pow.f64 F 4))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 F 4)))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 F 4)))) (cbrt.f64 (pow.f64 F 4))))
(pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1)
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 3)
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(sqrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))
(sqrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (pow.f64 F 4)))
(sqrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2) (pow.f64 F -4)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3) (pow.f64 (pow.f64 F -2) 3)))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 F -2) 3) (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3)))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(exp.f64 (log.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(exp.f64 (.f64 (log.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 F -2))) 1)
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(*.f64 1 (pow.f64 F -2))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(*.f64 (pow.f64 F -2) 1)
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(*.f64 (cbrt.f64 (pow.f64 F -2)) (/.f64 (/.f64 1 F) (cbrt.f64 F)))
(.f64 (/.f64 1 (.f64 F (cbrt.f64 F))) (cbrt.f64 (pow.f64 F -2)))
(/.f64 (cbrt.f64 (pow.f64 F -2)) (*.f64 F (cbrt.f64 F)))
(*.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)) (cbrt.f64 (pow.f64 F -2)))
(.f64 (/.f64 1 (.f64 F (cbrt.f64 F))) (cbrt.f64 (pow.f64 F -2)))
(/.f64 (cbrt.f64 (pow.f64 F -2)) (*.f64 F (cbrt.f64 F)))
(*.f64 (/.f64 1 F) (/.f64 1 F))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(*.f64 -1 (/.f64 (/.f64 -1 F) F))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(*.f64 (/.f64 (/.f64 -1 F) F) -1)
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 F 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 F) 2) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) (/.f64 1 (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) 1) (pow.f64 (cbrt.f64 F) 2))
(.f64 (.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (pow.f64 F -2))) (*.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (pow.f64 F -2))))
(.f64 (.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (/.f64 1 F))) (*.f64 (cbrt.f64 (pow.f64 F -2)) (cbrt.f64 (pow.f64 F -2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (cbrt.f64 (pow.f64 F -2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (cbrt.f64 (pow.f64 F -2))))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))))
(.f64 (/.f64 1 (.f64 F (cbrt.f64 F))) (cbrt.f64 (pow.f64 F -2)))
(/.f64 (cbrt.f64 (pow.f64 F -2)) (*.f64 F (cbrt.f64 F)))
(.f64 (.f64 (cbrt.f64 (/.f64 1 F)) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))) (*.f64 (cbrt.f64 (/.f64 1 F)) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 F (cbrt.f64 F)))) (sqrt.f64 (/.f64 1 (.f64 F (cbrt.f64 F))))) (*.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (/.f64 1 F))))
(.f64 (cbrt.f64 (/.f64 1 F)) (.f64 (/.f64 1 (*.f64 F (cbrt.f64 F))) (cbrt.f64 (/.f64 1 F))))
(.f64 (.f64 (cbrt.f64 (pow.f64 F -2)) (sqrt.f64 (cbrt.f64 (pow.f64 F -2)))) (*.f64 (cbrt.f64 (pow.f64 F -2)) (sqrt.f64 (cbrt.f64 (pow.f64 F -2)))))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F))) (cbrt.f64 (/.f64 1 F))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F))) (cbrt.f64 (/.f64 1 F))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 F (cbrt.f64 F)))) (sqrt.f64 (/.f64 1 (.f64 F (cbrt.f64 F))))) (*.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (/.f64 1 F))))
(.f64 (cbrt.f64 (/.f64 1 F)) (.f64 (/.f64 1 (*.f64 F (cbrt.f64 F))) (cbrt.f64 (/.f64 1 F))))
(pow.f64 F -2)
(/.f64 1 (*.f64 F F))
(pow.f64 (*.f64 F F) -1)
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(pow.f64 (pow.f64 F -2) 1)
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(pow.f64 (cbrt.f64 (pow.f64 F -2)) 3)
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(pow.f64 (pow.f64 (pow.f64 F -2) 3) 1/3)
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(pow.f64 (/.f64 1 F) 2)
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(neg.f64 (/.f64 (/.f64 -1 F) F))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(sqrt.f64 (/.f64 1 (pow.f64 F 4)))
(log.f64 (exp.f64 (pow.f64 F -2)))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 F -2))))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(cbrt.f64 (pow.f64 (pow.f64 F -2) 3))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(expm1.f64 (log1p.f64 (pow.f64 F -2)))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(exp.f64 (*.f64 -2 (log.f64 F)))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(exp.f64 (.f64 (.f64 (log.f64 F) 2) -1))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(exp.f64 (.f64 (.f64 -2 (log.f64 F)) 1))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(log1p.f64 (expm1.f64 (pow.f64 F -2)))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) l))) 1)
(*.f64 l (PI.f64))
(pow.f64 (*.f64 (PI.f64) l) 1)
(*.f64 l (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(*.f64 l (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
(*.f64 l (PI.f64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)
(*.f64 l (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))
(sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))
(fabs.f64 (*.f64 l (PI.f64)))
(log.f64 (pow.f64 (exp.f64 l) (PI.f64)))
(*.f64 l (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) l))))
(*.f64 l (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
(*.f64 l (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))
(*.f64 l (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))
(*.f64 l (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))
(*.f64 l (PI.f64))
(exp.f64 (log.f64 (*.f64 (PI.f64) l)))
(*.f64 l (PI.f64))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) l)) 1))
(*.f64 l (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))
(*.f64 l (PI.f64))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	0.2b	(*.f64 (PI.f64) l)
✓	5.0b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	34.5b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
0.0ms	l	@	0	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
0.0ms	l	@	inf	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
0.0ms	F	@	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
0.0ms	F	@	inf	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

rewrite98.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1662×	`associate-*l/`
1336×	`associate-/r*`
1042×	`associate-/l*`
318×	`associate-/l/`
276×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	64
1	258	64
2	3576	64

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

Inputs
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

Outputs
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Outputs

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simplify192.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1210×	`associate-+r+`
1108×	`associate-+l+`
892×	`+-commutative`
622×	`associate-r`
550×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	16210
1	1266	15400
2	6107	15184

Stop Event

1×	node limit

Counts

188 → 234

Calls

Call 1

Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(+.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))))
(+.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (.f64 (pow.f64 l 5) (-.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2)))) (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2)))))))
(+.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (+.f64 (.f64 (pow.f64 l 7) (-.f64 (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2))))) (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))))) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (.f64 (pow.f64 l 5) (-.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2)))) (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))))))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)
(.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))
(.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)
(.f64 1 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2)))
(.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2)))
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(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) l) 3) 3) (pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))))) (+.f64 (+.f64 (.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (PI.f64) l) 3)) (.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))) (.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) 1) (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) 1) (+.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))))
(pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
(fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(fma.f64 l (PI.f64) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(fma.f64 1 (.f64 (PI.f64) l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (cbrt.f64 (.f64 (PI.f64) l)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))

Outputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
(fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)) F) (/.f64 -1/2 F))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
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(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 4))))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))))
(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)) F) (/.f64 -1/2 F))) (pow.f64 l 5) (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) 1/840) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 1/24 (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (pow.f64 (PI.f64) 4))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
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(fma.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (.f64 l (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (cbrt.f64 (.f64 (PI.f64) l)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
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eval305.0ms (2.6%)

Compiler: Compiled 19823 to 8455 computations (57.3% saved)

prune255.0ms (2.1%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	653	28	681
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	655	28	683

Error

0.3b

Counts

683 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	18.1b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (cbrt.f64 (.f64 (PI.f64) l)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	17.3b	(fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	53.4b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
	41.6b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
	41.8b	(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2)) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	42.0b	(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 l (PI.f64)) 2) (/.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2) (pow.f64 F 4)))) (/.f64 (/.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))) (cbrt.f64 (-.f64 (pow.f64 (.f64 l (PI.f64)) 2) (/.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2) (pow.f64 F 4))))) (cbrt.f64 (-.f64 (pow.f64 (.f64 l (PI.f64)) 2) (/.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2) (pow.f64 F 4))))))
	17.4b	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
	43.0b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	17.7b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	17.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3) (*.f64 F F)))
▶	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
	12.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	12.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	22.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (pow.f64 (cbrt.f64 F) 2)))
	22.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (log.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	22.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
	12.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
▶	12.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	15.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (pow.f64 (cbrt.f64 F) 2))) (cbrt.f64 (/.f64 1 F))))
	18.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	22.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
	17.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3)))
	23.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
	44.9b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	44.9b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	41.6b	(.f64 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))
▶	23.0b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
▶	11.0b	(*.f64 l (PI.f64))

Compiler

Compiled 1200 to 756 computations (37% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 l (PI.f64))

Compiler

Compiled 7 to 4 computations (42.9% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	l	@	inf	(*.f64 l (PI.f64))
0.0ms	l	@	0	(*.f64 l (PI.f64))
0.0ms	l	@	-inf	(*.f64 l (PI.f64))

rewrite47.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`add-sqr-sqrt`
1102×	`*-un-lft-identity`
1038×	`pow1`
1014×	`add-cube-cbrt`
998×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	117	9
2	1377	9

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 l (PI.f64))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))))))

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1066×	`*-commutative`
914×	`log-prod`
708×	`distribute-lft-out`
636×	`distribute-rgt-in`
632×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	231
1	78	165
2	272	99
3	1602	99
4	4608	99
5	7188	99

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(pow.f64 (*.f64 l (PI.f64)) 1)
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))
(log.f64 (pow.f64 (exp.f64 l) (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
(exp.f64 (log.f64 (*.f64 l (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))

Outputs
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(pow.f64 (*.f64 l (PI.f64)) 1)
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(log.f64 (pow.f64 (exp.f64 l) (PI.f64)))
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(exp.f64 (log.f64 (*.f64 l (PI.f64))))
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
✓	1.2b	(/.f64 (PI.f64) (*.f64 F F))
✓	4.3b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))

Compiler

Compiled 29 to 7 computations (75.9% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	l	@	inf	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
1.0ms	l	@	0	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
0.0ms	F	@	0	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
0.0ms	F	@	inf	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
0.0ms	l	@	-inf	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))

rewrite129.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1276×	`associate-*l/`
1204×	`associate-/r*`
1082×	`*-commutative`
954×	`associate-/l*`
516×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	67
1	216	67
2	3078	67

Stop Event

1×	node limit

Counts

3 → 195

Calls

Call 1

Inputs
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(/.f64 (PI.f64) (*.f64 F F))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 1 (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) F)) (/.f64 (sqrt.f64 (PI.f64)) F) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 2) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 1 (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) F)) (/.f64 (sqrt.f64 (PI.f64)) F) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 2) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (PI.f64)) (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))) (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 l (PI.f64))) (*.f64 1 (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 l (PI.f64)) 1) (*.f64 (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (/.f64 1 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) (/.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))) 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simplify256.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1072×	`associate-+r+`
1062×	`associate-+l+`
714×	`+-commutative`
670×	`associate-r`
642×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	462	12645
1	1308	11743
2	6779	11743

Stop Event

1×	node limit

Counts

243 → 274

Calls

Call 1

Inputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
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(/.f64 (.f64 (-.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) (.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))) 1) (-.f64 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 3)) 1) (+.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 (.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) (.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))) (.f64 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) 1) (neg.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2)))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 3))) 1) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (.f64 (.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 3))) (sqrt.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))) (sqrt.f64 (fma.f64 (PI.f64) (PI.f64) (.f64 (.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (sqrt.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))) (sqrt.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 3))) (pow.f64 (cbrt.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2)))) 2)) (cbrt.f64 (fma.f64 (PI.f64) (PI.f64) (.f64 (.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (pow.f64 (cbrt.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2)))) 2)) (cbrt.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) (/.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (/.f64 (pow.f64 F 4) (PI.f64)))) (/.f64 1 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))) (+.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)) (pow.f64 (PI.f64) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) (pow.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)) 3)) (/.f64 1 (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))) (+.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) (/.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (/.f64 (pow.f64 F 4) (PI.f64)))) (.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)) (pow.f64 (PI.f64) 2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 3) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 3))) (/.f64 1 (fma.f64 (PI.f64) (PI.f64) (.f64 (.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))))) (+.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) (pow.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 3) 3)) (/.f64 1 (fma.f64 (PI.f64) (PI.f64) (.f64 (.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))))) (+.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 3) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 3))) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) 1) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (sqrt.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))) (sqrt.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (.f64 (cbrt.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2)))) (cbrt.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2)))))) (cbrt.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 3)) 1) (fma.f64 (PI.f64) (PI.f64) (.f64 (.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 3)) (sqrt.f64 (fma.f64 (PI.f64) (PI.f64) (.f64 (.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))))) (sqrt.f64 (fma.f64 (PI.f64) (PI.f64) (.f64 (.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 3)) (.f64 (cbrt.f64 (fma.f64 (PI.f64) (PI.f64) (.f64 (.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2)))))) (cbrt.f64 (fma.f64 (PI.f64) (PI.f64) (.f64 (.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2)))))))) (cbrt.f64 (fma.f64 (PI.f64) (PI.f64) (.f64 (.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))
(pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 1)
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) 3)
(pow.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 2))
(log.f64 (exp.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))))
(cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3))
(expm1.f64 (log1p.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(exp.f64 (log.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(log1p.f64 (expm1.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(fma.f64 1 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))

Outputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
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(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
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(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
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(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
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(.f64 l (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
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(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
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(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (.f64 l (PI.f64)) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
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(-.f64 (.f64 l (PI.f64)) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
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(-.f64 (.f64 l (PI.f64)) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (.f64 l (PI.f64)) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (.f64 l (PI.f64)) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
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(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (.f64 l (PI.f64)) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (.f64 l (PI.f64)) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
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(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (.f64 l (PI.f64)) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
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(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (.f64 l (PI.f64)) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(*.f64 (pow.f64 F -2) (neg.f64 (PI.f64)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
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(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
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(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
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(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(PI.f64)
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(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
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(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(+.f64 (.f64 l (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2)))) (.f64 l (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (.f64 (PI.f64) (pow.f64 F -2)))))
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(log.f64 (+.f64 1 (expm1.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(expm1.f64 (log1p.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(exp.f64 (log.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(log1p.f64 (expm1.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(fma.f64 1 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
	0.2b	(*.f64 (PI.f64) l)
✓	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	34.5b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 46 to 16 computations (65.2% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.0ms	F	@	inf	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.0ms	l	@	inf	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.0ms	l	@	-inf	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.0ms	l	@	0	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))

rewrite133.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1406×	`associate-/r*`
1254×	`associate-/l*`
852×	`swap-sqr`
474×	`associate-/l/`
330×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	265	44
2	3317	44

Stop Event

1×	node limit

Counts

2 → 178

Calls

Call 1

Inputs
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (/.f64 1 (pow.f64 F 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F (neg.f64 F)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 F (neg.f64 F)) (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 F (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 (*.f64 F F) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 (*.f64 F F) (*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 F (*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 (*.f64 F (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (pow.f64 F -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 (*.f64 F (neg.f64 F)) (neg.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F (/.f64 F (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 F (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 F -1/2) (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (sqrt.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 F -1/2) (/.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 F -1/2) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (*.f64 F (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 (*.f64 F F) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (/.f64 (*.f64 F F) 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(*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) (/.f64 1 (pow.f64 F 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 1 (pow.f64 F 3)) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))))

simplify154.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

814×	`distribute-lft-in`
808×	`distribute-rgt-in`
764×	`associate-/l*`
736×	`associate-/r*`
624×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	534	9262
1	1450	8932
2	5753	8932

Stop Event

1×	node limit

Counts

226 → 278

Calls

Call 1

Inputs
(/.f64 (*.f64 l (PI.f64)) F)
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (.f64 l (PI.f64)) F) (+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)) (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) F)) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F)) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) F))))) (pow.f64 l 7)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) 1)
(.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 F))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 1)
(.f64 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))
(.f64 (/.f64 1 F) (tan.f64 (.f64 (PI.f64) l)))
(.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 1 F)))
(.f64 (pow.f64 F -1/2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (sqrt.f64 F)))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 1))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 1 F)))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2) (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 1))
(.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 -1 F))
(.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -1/2)) (pow.f64 F -1/2))
(.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F -2))) (/.f64 1 (cbrt.f64 F)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (sqrt.f64 F)) (pow.f64 F -1/2))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 F) 2)) (/.f64 1 (cbrt.f64 F)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 F)))
(.f64 (/.f64 -1 F) (neg.f64 (tan.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (sqrt.f64 F)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 F)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)) -1)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) F) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(.f64 (/.f64 1 (/.f64 F (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2))) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 3)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) 1/3)
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) 1))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3) (/.f64 1 (pow.f64 F 3))))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 F 3)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(exp.f64 (.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 1))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 (.f64 F (neg.f64 F)) -1))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 1 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))))
(/.f64 1 (/.f64 (.f64 F (neg.f64 F)) (neg.f64 (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 1 (.f64 (.f64 F (sqrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (sqrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))
(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1)
(/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (.f64 F F) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (.f64 F F) (.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) 1)))
(/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 F (.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 F))))
(/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (.f64 F (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (pow.f64 F -1/2)))
(/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (.f64 F (neg.f64 F)) (neg.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 F (/.f64 F (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 (.f64 F (sqrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (sqrt.f64 F)))
(/.f64 (pow.f64 F -1/2) (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (sqrt.f64 F))))
(/.f64 (pow.f64 F -1/2) (/.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -1/2)))
(/.f64 (pow.f64 F -1/2) (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) (sqrt.f64 F)))
(/.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (.f64 F (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (.f64 F F) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (/.f64 (.f64 F F) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (/.f64 (.f64 F F) (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 1)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (/.f64 F (.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 F))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (/.f64 (.f64 F (neg.f64 F)) (neg.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (.f64 F (/.f64 F (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (/.f64 1 (cbrt.f64 F)) (/.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (pow.f64 F -2))))
(/.f64 (cbrt.f64 (pow.f64 F -2)) (/.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 (cbrt.f64 F))))
(/.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 F (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2)))
(/.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 (.f64 F (sqrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))))
(/.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 (.f64 F (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2) (.f64 F (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (pow.f64 F -2) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 F (neg.f64 F)))
(/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 F (/.f64 -1 F)))
(/.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (.f64 F (neg.f64 F)) 1))
(/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 (neg.f64 F) (/.f64 1 F)))
(/.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (.f64 F F) -1))
(/.f64 -1 (neg.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 -1 (/.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (/.f64 -1 F)))
(/.f64 -1 (/.f64 (.f64 F (neg.f64 F)) (tan.f64 (.f64 (PI.f64) l))))
(/.f64 -1 (/.f64 (neg.f64 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 -1 (/.f64 (.f64 F F) (neg.f64 (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 -1 (.f64 F (/.f64 (neg.f64 F) (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 (.f64 F F) (/.f64 1 (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2)) (/.f64 (.f64 F (sqrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2)) (/.f64 (.f64 F (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2))))
(/.f64 (sqrt.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (.f64 F (neg.f64 F)) (sqrt.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (sqrt.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l)))) (.f64 (.f64 F (sqrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (sqrt.f64 (neg.f64 F))))
(/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (/.f64 (.f64 F (sqrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (sqrt.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2))) (/.f64 (.f64 F (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))))) (/.f64 (.f64 F (neg.f64 F)) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -1/2)) (/.f64 F (pow.f64 F -1/2)))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F -2))) (/.f64 F (/.f64 1 (cbrt.f64 F))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) 1) (.f64 (.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) 1) (.f64 F (.f64 (cos.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 1 F)) (.f64 F (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (sqrt.f64 F) F)) (sqrt.f64 F))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 (cbrt.f64 F) 2) F)) (cbrt.f64 F))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (sqrt.f64 F)) (.f64 F (sqrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (sqrt.f64 F)) (.f64 (sqrt.f64 F) F))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 F) 2)) (.f64 (cbrt.f64 F) F))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 F) 2)) (.f64 F (cbrt.f64 F)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 F))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 F)))
(/.f64 (neg.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (.f64 F (neg.f64 F)) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2)) (/.f64 (.f64 F (neg.f64 F)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (.f64 (.f64 F F) (neg.f64 (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (.f64 (.f64 F (neg.f64 F)) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (/.f64 (pow.f64 F -1/2) F) (/.f64 (sqrt.f64 F) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (cbrt.f64 F) F)) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) 1) (/.f64 F (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)))
(/.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 F (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 F))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) 1) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (sqrt.f64 F)) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (sqrt.f64 F))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (pow.f64 (cbrt.f64 F) 2)) (.f64 F (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) -1) (.f64 F (.f64 (cos.f64 (*.f64 (PI.f64) l)) (neg.f64 F))))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 F))
(/.f64 (pow.f64 (sqrt.f64 F) -1) (/.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (sqrt.f64 F) -1)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 F) 2) -1) (/.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) -1)))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (sqrt.f64 F))) (sqrt.f64 F))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 (cbrt.f64 F) 2) (pow.f64 (cbrt.f64 F) 2))) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (pow.f64 (cbrt.f64 F) 2))) (cbrt.f64 F))
(/.f64 (/.f64 (/.f64 1 F) (sqrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (sqrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (/.f64 (/.f64 1 F) (.f64 (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (/.f64 (/.f64 1 F) (/.f64 F (sin.f64 (.f64 (PI.f64) l)))) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (/.f64 (/.f64 1 F) (/.f64 1 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))))) (/.f64 F (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (/.f64 (/.f64 1 F) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2))) (/.f64 F (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (/.f64 (/.f64 1 F) (/.f64 (sqrt.f64 F) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))))) (/.f64 (sqrt.f64 F) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (/.f64 (/.f64 1 F) (/.f64 (sqrt.f64 F) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2))) (/.f64 (sqrt.f64 F) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (/.f64 (/.f64 1 F) (/.f64 (pow.f64 (cbrt.f64 F) 2) 1)) (/.f64 (cbrt.f64 F) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (/.f64 1 F) (/.f64 (pow.f64 (cbrt.f64 F) 2) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))))) (/.f64 (cbrt.f64 F) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (/.f64 (/.f64 1 F) (/.f64 (pow.f64 (cbrt.f64 F) 2) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2))) (/.f64 (cbrt.f64 F) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (sqrt.f64 F) F)) 1) (sqrt.f64 F))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (sqrt.f64 F) F)) (cbrt.f64 F)) (cbrt.f64 (sqrt.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (sqrt.f64 F) F)) (sqrt.f64 (sqrt.f64 F))) (sqrt.f64 (sqrt.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (sqrt.f64 F) F)) (sqrt.f64 (pow.f64 (cbrt.f64 F) 2))) (sqrt.f64 (cbrt.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 (cbrt.f64 F) 2) F)) 1) (cbrt.f64 F))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 (cbrt.f64 F) 2) F)) (sqrt.f64 (cbrt.f64 F))) (sqrt.f64 (cbrt.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 (cbrt.f64 F) 2) F)) (cbrt.f64 (sqrt.f64 F))) (cbrt.f64 (sqrt.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 (cbrt.f64 F) 2) F)) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2))) (cbrt.f64 (cbrt.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 (cbrt.f64 F) 2) F)) (*.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 (cbrt.f64 F)))) (cbrt.f64 (cbrt.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) 1) (neg.f64 F))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (sqrt.f64 F)) (neg.f64 (sqrt.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (pow.f64 (cbrt.f64 F) 2)) (neg.f64 (cbrt.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) -1) F)
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (sqrt.f64 (neg.f64 F))) (sqrt.f64 (neg.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)) (.f64 (cbrt.f64 (neg.f64 F)) (cbrt.f64 (neg.f64 F)))) (cbrt.f64 (neg.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 (sqrt.f64 F))) (sqrt.f64 F))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 (pow.f64 (cbrt.f64 F) 2))) (cbrt.f64 F))
(pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 3)
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))
(neg.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 1 F)))
(neg.f64 (.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F))))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
(neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
(sqrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 2))
(log.f64 (exp.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 3) (/.f64 1 (pow.f64 F 3))))
(cbrt.f64 (.f64 (/.f64 1 (pow.f64 F 3)) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) (pow.f64 F 3)))
(expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(exp.f64 (log.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(exp.f64 (.f64 (log.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1))
(log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))

Outputs
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 l (/.f64 F (PI.f64)))
(*.f64 (/.f64 l F) (PI.f64))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))
(+.f64 (/.f64 l (/.f64 F (PI.f64))) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3)))
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(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (*.f64 F (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 F) 2))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) 1) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (sqrt.f64 F)) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (sqrt.f64 F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (sqrt.f64 F) (*.f64 F (sqrt.f64 F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (*.f64 (sqrt.f64 F) (sqrt.f64 F))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (pow.f64 (cbrt.f64 F) 2)) (.f64 F (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2) (.f64 (.f64 F (cbrt.f64 (/.f64 F (tan.f64 (.f64 l (PI.f64)))))) (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2) (.f64 F (.f64 (cbrt.f64 (/.f64 F (tan.f64 (.f64 l (PI.f64))))) (pow.f64 (cbrt.f64 F) 2))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) -1) (.f64 F (.f64 (cos.f64 (*.f64 (PI.f64) l)) (neg.f64 F))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F) F)
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 F))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (pow.f64 (sqrt.f64 F) -1) (/.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (sqrt.f64 F) -1)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 F (tan.f64 (.f64 l (PI.f64))))) (/.f64 1 (sqrt.f64 F)))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F (sqrt.f64 F))) (/.f64 1 (sqrt.f64 F)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 F) 2) -1) (/.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) -1)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (*.f64 F (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 F) 2))))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (sqrt.f64 F))) (sqrt.f64 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (sqrt.f64 F) (*.f64 F (sqrt.f64 F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (*.f64 (sqrt.f64 F) (sqrt.f64 F))))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 (cbrt.f64 F) 2) (pow.f64 (cbrt.f64 F) 2))) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 (cbrt.f64 F) 2) (pow.f64 (cbrt.f64 F) 4)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (pow.f64 (cbrt.f64 F) 2) 3))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (pow.f64 (cbrt.f64 F) 2))) (cbrt.f64 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (*.f64 F (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 F) 2))))
(/.f64 (/.f64 (/.f64 1 F) (sqrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (sqrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (/.f64 1 F) (.f64 (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (/.f64 1 F) (/.f64 F (sin.f64 (.f64 (PI.f64) l)))) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F) F)
(/.f64 (/.f64 (/.f64 1 F) (/.f64 1 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))))) (/.f64 F (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (/.f64 1 F) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2))) (/.f64 F (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (/.f64 1 F) (/.f64 (sqrt.f64 F) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))))) (/.f64 (sqrt.f64 F) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (.f64 (/.f64 (/.f64 1 F) (sqrt.f64 F)) (sqrt.f64 (tan.f64 (.f64 l (PI.f64))))) (/.f64 (sqrt.f64 F) (sqrt.f64 (tan.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))) F) (sqrt.f64 F)) (/.f64 (sqrt.f64 F) (sqrt.f64 (tan.f64 (.f64 l (PI.f64))))))
(/.f64 (/.f64 (/.f64 1 F) (/.f64 (sqrt.f64 F) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2))) (/.f64 (sqrt.f64 F) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (.f64 (/.f64 (/.f64 1 F) (sqrt.f64 F)) (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2)) (/.f64 (sqrt.f64 F) (cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2) F) (sqrt.f64 F)) (/.f64 (sqrt.f64 F) (cbrt.f64 (tan.f64 (.f64 l (PI.f64))))))
(/.f64 (/.f64 (/.f64 1 F) (/.f64 (pow.f64 (cbrt.f64 F) 2) 1)) (/.f64 (cbrt.f64 F) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (*.f64 F (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 F) 2))))
(/.f64 (/.f64 (/.f64 1 F) (/.f64 (pow.f64 (cbrt.f64 F) 2) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))))) (/.f64 (cbrt.f64 F) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (*.f64 F (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 F) 2))))
(/.f64 (/.f64 (/.f64 1 F) (/.f64 (pow.f64 (cbrt.f64 F) 2) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2))) (/.f64 (cbrt.f64 F) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (/.f64 1 F) (.f64 (/.f64 (cbrt.f64 F) (cbrt.f64 (tan.f64 (.f64 l (PI.f64))))) (/.f64 (pow.f64 (cbrt.f64 F) 2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2) (.f64 F (pow.f64 (cbrt.f64 F) 2))) (/.f64 (cbrt.f64 F) (cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (sqrt.f64 F) F)) 1) (sqrt.f64 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (sqrt.f64 F) (*.f64 F (sqrt.f64 F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (*.f64 (sqrt.f64 F) (sqrt.f64 F))))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (sqrt.f64 F) F)) (cbrt.f64 F)) (cbrt.f64 (sqrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (sqrt.f64 F))) (*.f64 (cbrt.f64 (sqrt.f64 F)) (cbrt.f64 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (.f64 (cbrt.f64 F) (cbrt.f64 (sqrt.f64 F))) (.f64 F (sqrt.f64 F))))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (sqrt.f64 F) F)) (sqrt.f64 (sqrt.f64 F))) (sqrt.f64 (sqrt.f64 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (sqrt.f64 F) (*.f64 F (sqrt.f64 F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (*.f64 (sqrt.f64 F) (sqrt.f64 F))))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (sqrt.f64 F) F)) (sqrt.f64 (pow.f64 (cbrt.f64 F) 2))) (sqrt.f64 (cbrt.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (sqrt.f64 F))) (sqrt.f64 (pow.f64 (cbrt.f64 F) 2))) (sqrt.f64 (cbrt.f64 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (.f64 (fabs.f64 (cbrt.f64 F)) (sqrt.f64 (cbrt.f64 F))) (.f64 F (sqrt.f64 F))))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 (cbrt.f64 F) 2) F)) 1) (cbrt.f64 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (*.f64 F (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 F) 2))))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 (cbrt.f64 F) 2) F)) (sqrt.f64 (cbrt.f64 F))) (sqrt.f64 (cbrt.f64 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (*.f64 F (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 F) 2))))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 (cbrt.f64 F) 2) F)) (cbrt.f64 (sqrt.f64 F))) (cbrt.f64 (sqrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (pow.f64 (cbrt.f64 F) 2))) (*.f64 (cbrt.f64 (sqrt.f64 F)) (cbrt.f64 (sqrt.f64 F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 F)) (cbrt.f64 (sqrt.f64 F))) (.f64 F (pow.f64 (cbrt.f64 F) 2))))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 (cbrt.f64 F) 2) F)) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2))) (cbrt.f64 (cbrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (pow.f64 (cbrt.f64 F) 2))) (*.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2))))
(/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (pow.f64 (cbrt.f64 F) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (cbrt.f64 F))))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 (cbrt.f64 F) 2) F)) (*.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 (cbrt.f64 F)))) (cbrt.f64 (cbrt.f64 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (*.f64 F (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 F) 2))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) 1) (neg.f64 F))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (sqrt.f64 F)) (neg.f64 (sqrt.f64 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (sqrt.f64 F) (*.f64 F (sqrt.f64 F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (*.f64 (sqrt.f64 F) (sqrt.f64 F))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (pow.f64 (cbrt.f64 F) 2)) (neg.f64 (cbrt.f64 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (*.f64 F (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 F) 2))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) -1) F)
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (sqrt.f64 (neg.f64 F))) (sqrt.f64 (neg.f64 F)))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)) (.f64 (cbrt.f64 (neg.f64 F)) (cbrt.f64 (neg.f64 F)))) (cbrt.f64 (neg.f64 F)))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 (sqrt.f64 F))) (sqrt.f64 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (sqrt.f64 F) (*.f64 F (sqrt.f64 F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (*.f64 (sqrt.f64 F) (sqrt.f64 F))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 (pow.f64 (cbrt.f64 F) 2))) (cbrt.f64 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (*.f64 F (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 F) 2))))
(pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1)
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 3)
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(neg.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 1 F)))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(neg.f64 (.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(sqrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 2))
(sqrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)) 2))
(fabs.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))
(log.f64 (exp.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 3) (/.f64 1 (pow.f64 F 3))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) 3) (/.f64 1 (pow.f64 F 3))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) 3) (pow.f64 F 3)))
(cbrt.f64 (.f64 (/.f64 1 (pow.f64 F 3)) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) 3) (/.f64 1 (pow.f64 F 3))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) 3) (pow.f64 F 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) (pow.f64 F 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) 3) (/.f64 1 (pow.f64 F 3))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) 3) (pow.f64 F 3)))
(expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(exp.f64 (log.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(exp.f64 (.f64 (log.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))
(log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))
✓	0.7b	(pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3)
✓	5.0b	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3) (.f64 F F))
	34.5b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 54 to 17 computations (68.5% saved)

series12.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	l	@	0	(pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3)
2.0ms	l	@	inf	(pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3)
2.0ms	l	@	-inf	(pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3)
2.0ms	F	@	0	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3) (.f64 F F))
1.0ms	l	@	0	(cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1302×	`associate-/r*`
1274×	`associate-/l*`
1218×	`associate-*r/`
1024×	`associate-*l/`
276×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	55
1	290	55
2	3502	55

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

Inputs
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3) (.f64 F F))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3)
(cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))

Outputs

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#<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 2) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1/3) (pow.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l))) 1) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))))

simplify110.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1560×	`associate-/r/`
1290×	`distribute-lft-in`
1288×	`distribute-rgt-in`
462×	`associate-r`
414×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	319	5305
1	759	5175
2	3378	5175

Stop Event

1×	node limit

Counts

161 → 173

Calls

Call 1

Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(pow.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) 1/3)
(-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)
(.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (pow.f64 F -2)))
(.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))
(.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)
(.f64 1 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2)))
(.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
(.f64 (pow.f64 F -2) (tan.f64 (.f64 (PI.f64) l)))
(.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 -1 (*.f64 F F)))
(.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2)) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2))
(.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 -1 (.f64 F F)) (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 1) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (.f64 F F)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (.f64 F F)) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 (pow.f64 F 4))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) 1) (/.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) F))
(.f64 (/.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) F) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 (pow.f64 F 4))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) 1) (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 3)
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)
(pow.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))) -1)
(neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
(sqrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))
(expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(exp.f64 (log.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(exp.f64 (.f64 (log.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1))
(log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1)
(.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))
(.f64 (tan.f64 (.f64 (PI.f64) l)) 1)
(.f64 1 (tan.f64 (.f64 (PI.f64) l)))
(.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6) (.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)))
(.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 1 (cos.f64 (*.f64 (PI.f64) l))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) 1) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6)) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(.f64 (/.f64 1 (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6) 3) (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) 2) 3) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) 1)
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 1 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6) (/.f64 1 (.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (/.f64 1 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) 2) (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 1 (/.f64 1 (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 (PI.f64) l))) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) l)))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) l))) (cbrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) 1) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6)) (/.f64 1 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) 2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))))))
(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (neg.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (.f64 1 (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) 1) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6) 3) (/.f64 1 (pow.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6) 3)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) 2) 3) (/.f64 1 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (sqrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (cbrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) 1) (cbrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) 2) 3) (cbrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2)) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) 1) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 (PI.f64) l))) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) 1) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 (PI.f64) l))))
(tan.f64 (*.f64 (PI.f64) l))
(exp.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) 1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))) 1)
(.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 1)
(.f64 1 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))))
(.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) 2) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))))
(.f64 (pow.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) 1/3) (pow.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1/3))
(/.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (.f64 1 (cbrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) l))) 1) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1)
(pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))
(log.f64 (exp.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(exp.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) 1))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))

Outputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/.f64 (PI.f64) (/.f64 (*.f64 F F) l))
(.f64 (/.f64 l (.f64 F F)) (PI.f64))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))
(fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (.f64 (/.f64 l (.f64 F F)) (PI.f64)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
(fma.f64 (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 1/2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)) 1/3)))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l))))
(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 2))) F) (/.f64 -1/2 F))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (.f64 (/.f64 l (*.f64 F F)) (PI.f64))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 4))))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))))
(fma.f64 (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 1/2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)) 1/3)))) (pow.f64 l 5) (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) 1/840) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) F) (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 2))))) F)) (.f64 1/24 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 4))) (.f64 F F))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (PI.f64) (/.f64 (.f64 F F) l)))))
(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 2))) F) (/.f64 -1/2 F))) (pow.f64 l 5) (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) 1/840) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 F F)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 2)))))) (.f64 (/.f64 1/24 F) (/.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 4))) F)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (.f64 (/.f64 l (.f64 F F)) (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
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(/.f64 (sqrt.f64 (sin.f64 (.f64 (PI.f64) l))) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) l)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 l (PI.f64)))) (cos.f64 (.f64 l (PI.f64)))) (sqrt.f64 (sin.f64 (.f64 l (PI.f64)))))
(/.f64 (sqrt.f64 (sin.f64 (.f64 l (PI.f64)))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (sqrt.f64 (sin.f64 (*.f64 l (PI.f64))))))
(.f64 (sqrt.f64 (sin.f64 (.f64 l (PI.f64)))) (/.f64 (sqrt.f64 (sin.f64 (.f64 l (PI.f64)))) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) l))) (cbrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l)))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) (cbrt.f64 (sin.f64 (.f64 l (PI.f64))))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (cbrt.f64 (sin.f64 (*.f64 l (PI.f64))))))
(.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) (/.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (cbrt.f64 (sin.f64 (*.f64 l (PI.f64)))))))
(.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) (.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) (cos.f64 (.f64 l (PI.f64)))) (cbrt.f64 (sin.f64 (.f64 l (PI.f64))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) 1) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(tan.f64 (*.f64 l (PI.f64)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6)) (/.f64 1 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6)))
(tan.f64 (*.f64 l (PI.f64)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) 2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))))))
(tan.f64 (*.f64 l (PI.f64)))
(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (neg.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (.f64 1 (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) 1) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6) 3) (/.f64 1 (pow.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6) 3)))
(tan.f64 (*.f64 l (PI.f64)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) 2) 3) (/.f64 1 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))))
(tan.f64 (*.f64 l (PI.f64)))
(/.f64 (.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (sqrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))) (/.f64 (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))) (sqrt.f64 (sin.f64 (*.f64 l (PI.f64))))))
(/.f64 (.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))) (sqrt.f64 (sin.f64 (.f64 l (PI.f64))))) (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))) (sqrt.f64 (cos.f64 (.f64 l (PI.f64))))) (sqrt.f64 (sin.f64 (.f64 l (PI.f64)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (cbrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2) (/.f64 (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))) (cbrt.f64 (sin.f64 (*.f64 l (PI.f64))))))
(/.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) (/.f64 (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2)))
(.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) (cbrt.f64 (cos.f64 (.f64 l (PI.f64))))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2))
(/.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) 1) (cbrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2) (/.f64 (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))) (cbrt.f64 (sin.f64 (*.f64 l (PI.f64))))))
(/.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) (/.f64 (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2)))
(.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) (cbrt.f64 (cos.f64 (.f64 l (PI.f64))))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) 2) 3) (cbrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2) (/.f64 (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))) (cbrt.f64 (sin.f64 (*.f64 l (PI.f64))))))
(/.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) (/.f64 (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2)))
(.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) (cbrt.f64 (cos.f64 (.f64 l (PI.f64))))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2)) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2) (/.f64 (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))) (cbrt.f64 (sin.f64 (*.f64 l (PI.f64))))))
(/.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) (/.f64 (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2)))
(.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) (cbrt.f64 (cos.f64 (.f64 l (PI.f64))))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) 1) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 (PI.f64) l))) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))) (/.f64 (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))) (sqrt.f64 (sin.f64 (*.f64 l (PI.f64))))))
(/.f64 (.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))) (sqrt.f64 (sin.f64 (.f64 l (PI.f64))))) (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))) (sqrt.f64 (cos.f64 (.f64 l (PI.f64))))) (sqrt.f64 (sin.f64 (.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) 1) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(fabs.f64 (tan.f64 (*.f64 l (PI.f64))))
(log.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))))
(tan.f64 (*.f64 l (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(tan.f64 (*.f64 l (PI.f64)))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3))
(tan.f64 (*.f64 l (PI.f64)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 (PI.f64) l))))
(tan.f64 (*.f64 l (PI.f64)))
(tan.f64 (*.f64 (PI.f64) l))
(tan.f64 (*.f64 l (PI.f64)))
(exp.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))))
(tan.f64 (*.f64 l (PI.f64)))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) 1))
(tan.f64 (*.f64 l (PI.f64)))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))
(tan.f64 (*.f64 l (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))) 1)
(cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))
(.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 1)
(cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))
(.f64 1 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))))
(cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))
(.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6))
(cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 2))
(cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) 2) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))))
(cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))
(.f64 (pow.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) 1/3) (pow.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64))))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 l (PI.f64))))))
(/.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (.f64 1 (cbrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) l))) 1) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1)
(cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))
(pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/3)
(cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))
(pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6) 2)
(cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))
(pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 3)
(cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))
(sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2))
(fabs.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))))
(log.f64 (exp.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))
(cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))
(expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))
(exp.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) 1))
(cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) 1/3))
(cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))
(log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (cbrt.f64 F))
✓	0.5b	(pow.f64 (cbrt.f64 F) 2)
✓	0.6b	(cbrt.f64 F)
	34.5b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 66 to 18 computations (72.7% saved)

series10.0ms (0.1%)

Counts

3 → 12

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	F	@	0	(pow.f64 (cbrt.f64 F) 2)
2.0ms	l	@	inf	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (cbrt.f64 F))
1.0ms	l	@	0	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (cbrt.f64 F))
1.0ms	F	@	-inf	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (cbrt.f64 F))
1.0ms	F	@	0	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (cbrt.f64 F))

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1852×	`associate-*l/`
1746×	`associate-/l*`
560×	`associate-/l/`
464×	`associate-/r/`
296×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	291	45
2	3738	45

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

Inputs
(cbrt.f64 F)
(pow.f64 (cbrt.f64 F) 2)
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (cbrt.f64 F))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 F))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F 1/6) (pow.f64 F 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 (cbrt.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 F F))) (cbrt.f64 (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 F (cbrt.f64 F)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 F) 1/3) (pow.f64 (sqrt.f64 F) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 F 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 F F)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 F 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 F)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 F) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 F)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 F)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 F F)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 F) (cbrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 F) (pow.f64 F 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F 1/6) (*.f64 (pow.f64 F 1/6) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 F (cbrt.f64 F))) (cbrt.f64 (cbrt.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 F F))) (cbrt.f64 (*.f64 F (cbrt.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 F F))) (*.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 F) (cbrt.f64 (cbrt.f64 (*.f64 F F)))) (cbrt.f64 (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 F (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 F))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 F F))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 (/.f64 1 (cbrt.f64 F)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 (*.f64 F (cbrt.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (*.f64 F F))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 1 (cbrt.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F)))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F)))) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 1 (cbrt.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 1 (neg.f64 (cbrt.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 F)) F) (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 F)) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 F 1/6)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (pow.f64 F 1/6) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 F F)))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (cbrt.f64 (cbrt.f64 F)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (cbrt.f64 F))) (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 F)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 F (cbrt.f64 F))) (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F 1/6)) (/.f64 1 (*.f64 (pow.f64 F 1/6) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (cbrt.f64 (*.f64 F F)))) (/.f64 (/.f64 1 F) (cbrt.f64 (cbrt.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (cbrt.f64 F)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (cbrt.f64 (cbrt.f64 (*.f64 F F)))) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (cbrt.f64 (cbrt.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (pow.f64 F 1/6)) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (pow.f64 F 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (cbrt.f64 (cbrt.f64 (*.f64 F F)))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F (cbrt.f64 F))) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (cbrt.f64 F)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (*.f64 F (cbrt.f64 F))) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 F)) (cbrt.f64 (*.f64 F F))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 F)) 1) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 F)) (sqrt.f64 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 F)) (neg.f64 F)) (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 F)) (/.f64 F (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 F)) (/.f64 F (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (*.f64 F F))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 F))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 (cbrt.f64 F)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) F))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F)))))))))

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1154×	`unswap-sqr`
1106×	`associate-/l/`
834×	`distribute-rgt-in`
832×	`distribute-lft-in`
440×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	3497
1	671	3309
2	3140	3305

Stop Event

1×	node limit

Counts

107 → 136

Calls

Call 1

Inputs
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 l (PI.f64)))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 l (PI.f64))) (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 l (PI.f64))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))))))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 l (PI.f64))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/720 (pow.f64 (PI.f64) 7)) (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 7))) (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))))))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 F))) 1)
(*.f64 (cbrt.f64 F) 1)
(*.f64 1 (cbrt.f64 F))
(*.f64 (pow.f64 F 1/6) (pow.f64 F 1/6))
(.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 (cbrt.f64 (.f64 F F))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 F F))) (cbrt.f64 (cbrt.f64 F)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 F (cbrt.f64 F)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 F F)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 F))
(*.f64 (pow.f64 (sqrt.f64 F) 1/3) (pow.f64 (sqrt.f64 F) 1/3))
(pow.f64 F 1/3)
(pow.f64 (cbrt.f64 F) 1)
(pow.f64 (cbrt.f64 (*.f64 F F)) 1/2)
(pow.f64 (pow.f64 F 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 F)) 3)
(sqrt.f64 (cbrt.f64 (*.f64 F F)))
(fabs.f64 (cbrt.f64 F))
(log.f64 (exp.f64 (cbrt.f64 F)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 F))))
(expm1.f64 (log1p.f64 (cbrt.f64 F)))
(exp.f64 (log.f64 (cbrt.f64 F)))
(exp.f64 (*.f64 (log.f64 F) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 F)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 F)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 F F)))) 1)
(*.f64 (cbrt.f64 F) (cbrt.f64 F))
(.f64 (cbrt.f64 (.f64 F F)) 1)
(.f64 1 (cbrt.f64 (.f64 F F)))
(*.f64 (sqrt.f64 F) (pow.f64 F 1/6))
(.f64 (pow.f64 F 1/6) (.f64 (pow.f64 F 1/6) (cbrt.f64 F)))
(.f64 (cbrt.f64 (.f64 F (cbrt.f64 F))) (cbrt.f64 (cbrt.f64 (*.f64 F F))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 F F))) (cbrt.f64 (*.f64 F (cbrt.f64 F))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 F F))) (*.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 F)))
(.f64 (.f64 (cbrt.f64 F) (cbrt.f64 (cbrt.f64 (*.f64 F F)))) (cbrt.f64 (cbrt.f64 F)))
(sqrt.f64 (*.f64 F (cbrt.f64 F)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 F F))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 F F)))))
(cbrt.f64 (*.f64 F F))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 F F))))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 F))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 F))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 F F))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (cbrt.f64 F))))) 1)
(.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 (/.f64 1 (cbrt.f64 F)) F))
(.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (*.f64 F (cbrt.f64 F))))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 (cbrt.f64 F)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F))) 1)
(.f64 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 (.f64 F F))) (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 (*.f64 F F))))
(.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 1 (cbrt.f64 F))))
(.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (cbrt.f64 F)))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (cbrt.f64 F)))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (cbrt.f64 F)))) 2) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2) (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 1 (cbrt.f64 F))))
(.f64 (/.f64 1 (cbrt.f64 F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))
(.f64 (/.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) F) (/.f64 1 (neg.f64 (cbrt.f64 F))))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 F)) F) (tan.f64 (.f64 (PI.f64) l)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 F)) (/.f64 1 F))
(.f64 (/.f64 1 (pow.f64 F 1/6)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 (pow.f64 F 1/6) F)))
(.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 F F)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (cbrt.f64 (cbrt.f64 F)) F)))
(.f64 (/.f64 1 (neg.f64 (cbrt.f64 F))) (/.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) F))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 F)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (cbrt.f64 F)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(.f64 (/.f64 1 (.f64 F (cbrt.f64 F))) (tan.f64 (*.f64 (PI.f64) l)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F 1/6)) (/.f64 1 (*.f64 (pow.f64 F 1/6) F)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 (cbrt.f64 (*.f64 F F)))) (/.f64 (/.f64 1 F) (cbrt.f64 (cbrt.f64 F))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (cbrt.f64 F)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (cbrt.f64 (cbrt.f64 (.f64 F F)))) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (cbrt.f64 (cbrt.f64 F))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 (.f64 F F))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2) (pow.f64 F 1/6)) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (pow.f64 F 1/6)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2) (cbrt.f64 (cbrt.f64 (.f64 F F)))) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F)))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 F (cbrt.f64 F))) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2) (cbrt.f64 F)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(.f64 (/.f64 1 (/.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (.f64 F (cbrt.f64 F))) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 F)) (cbrt.f64 (.f64 F F))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 F)))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 F)) 1) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 F)) (sqrt.f64 F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (sqrt.f64 F)))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 F)) (neg.f64 F)) (neg.f64 (tan.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 F)) (/.f64 F (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))))) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 F)) (/.f64 F (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2))) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (cbrt.f64 F))) 1)
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 (.f64 F F))) 2)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (cbrt.f64 F)))) 3)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (cbrt.f64 F))) 3) 1/3)
(pow.f64 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 F))) -1)
(neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 (cbrt.f64 F)) F)))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (cbrt.f64 F))) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (cbrt.f64 F)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (cbrt.f64 F))))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (cbrt.f64 F))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) F))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (cbrt.f64 F)))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (cbrt.f64 F)))))
(exp.f64 (.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (cbrt.f64 F)))))

Outputs
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 l (PI.f64)))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (.f64 l (PI.f64)))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 l (PI.f64))) (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3))))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (fma.f64 l (PI.f64) (.f64 (pow.f64 l 3) (*.f64 1/3 (pow.f64 (PI.f64) 3)))))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (fma.f64 l (PI.f64) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 l 3)))))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 l (PI.f64))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (.f64 l (PI.f64)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (+.f64 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3)) (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))))))))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (+.f64 (fma.f64 l (PI.f64) (.f64 (pow.f64 l 3) (.f64 1/3 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 l 5) (+.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 2))))))))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (+.f64 (.f64 l (PI.f64)) (fma.f64 (pow.f64 l 3) (.f64 1/3 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 l 5) (+.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) -1/3)))))))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 l (PI.f64))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/720 (pow.f64 (PI.f64) 7)) (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 7))) (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))))))))
(+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (pow.f64 (PI.f64) 7) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))))))))) (pow.f64 l 7)) (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))))))))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (+.f64 (fma.f64 l (PI.f64) (.f64 (pow.f64 l 3) (.f64 1/3 (pow.f64 (PI.f64) 3)))) (fma.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 4))) (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7) (.f64 (pow.f64 l 5) (+.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 2)))))))))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (+.f64 (fma.f64 (-.f64 (fma.f64 -1/5040 (pow.f64 (PI.f64) 7) (.f64 (pow.f64 (PI.f64) 4) (.f64 (.f64 1/3 (pow.f64 (PI.f64) 3)) -1/24))) (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) -1/3)))) (.f64 (pow.f64 (PI.f64) 7) -1/720))) (pow.f64 l 7) (.f64 (pow.f64 l 5) (+.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) -1/3))))) (fma.f64 l (PI.f64) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 l 3))))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 F))) 1)
(cbrt.f64 F)
(*.f64 (cbrt.f64 F) 1)
(cbrt.f64 F)
(*.f64 1 (cbrt.f64 F))
(cbrt.f64 F)
(*.f64 (pow.f64 F 1/6) (pow.f64 F 1/6))
(cbrt.f64 F)
(.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 (cbrt.f64 (.f64 F F))))
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(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (cbrt.f64 F)))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))
(exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (cbrt.f64 F)))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))
(exp.f64 (.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F)))) 1))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (cbrt.f64 F)))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))

eval550.0ms (4.6%)

Compiler: Compiled 29325 to 13156 computations (55.1% saved)

prune437.0ms (3.7%)

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1129	18	1147
Fresh	17	6	23
Picked	1	0	1
Done	1	3	4
Total	1148	27	1175

Error

0.2b

Counts

1175 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	17.3b	(fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
▶	22.6b	(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
	39.7b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
▶	11.9b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	27.4b	(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))
	56.9b	(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
	17.4b	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
▶	24.5b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	28.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F))) 3) 1/3) (pow.f64 (cbrt.f64 F) 2)))
✓	17.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3) (*.f64 F F)))
	12.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	22.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (log.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	24.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) 1/3) (/.f64 1 F)))
	34.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (/.f64 1 F)))
▶	13.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) F) (/.f64 1 F)))
▶	18.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	18.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (/.f64 F (PI.f64))) (/.f64 1 F)))
	22.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
	18.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (/.f64 l F) (PI.f64)) (/.f64 1 F)))
	57.3b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
✓	23.0b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
	57.3b	(.f64 l (.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
	27.7b	(.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))) 3)))
✓	11.0b	(*.f64 l (PI.f64))
	56.9b	(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
	33.0b	(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
	47.5b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 695 to 494 computations (28.9% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(*.f64 l (PI.f64))
✓	0.5b	(cbrt.f64 (*.f64 l (PI.f64)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)

Compiler

Compiled 18 to 8 computations (55.6% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	l	@	-inf	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
1.0ms	l	@	0	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
1.0ms	l	@	inf	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
0.0ms	l	@	-inf	(cbrt.f64 (*.f64 l (PI.f64)))
0.0ms	l	@	inf	(cbrt.f64 (*.f64 l (PI.f64)))

rewrite92.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`add-sqr-sqrt`
1608×	`*-un-lft-identity`
1508×	`add-cube-cbrt`
1488×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	203	22
2	2128	22

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(cbrt.f64 (*.f64 l (PI.f64)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 l (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) (*.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 l) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) 1) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (*.f64 l (PI.f64)) 1/6)) (pow.f64 (*.f64 l (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 2) 3) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 l (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 l (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) (pow.f64 (*.f64 l (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 l) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 1/3) (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (PI.f64)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 l (PI.f64))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))))

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1680×	`associate-+r+`
1572×	`associate-+l+`
1066×	`unswap-sqr`
536×	`distribute-lft-neg-in`
536×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	707
1	251	707
2	845	707
3	3344	707

Stop Event

1×	node limit

Counts

57 → 61

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 l (PI.f64)))) 1)
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(.f64 (cbrt.f64 (.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))
(.f64 (.f64 l (PI.f64)) 1)
(.f64 1 (.f64 l (PI.f64)))
(.f64 (pow.f64 (.f64 l (PI.f64)) 1/6) (.f64 (pow.f64 (.f64 l (PI.f64)) 1/6) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l))
(.f64 (sqrt.f64 (.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))
(.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) l))
(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
(.f64 (cbrt.f64 l) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))
(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
(.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) 1) (cbrt.f64 (.f64 l (PI.f64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (pow.f64 (.f64 l (PI.f64)) 1/6)) (pow.f64 (*.f64 l (PI.f64)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))
(.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) 2) 3) (cbrt.f64 (*.f64 l (PI.f64))))
(sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) l))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 l (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
(exp.f64 (log.f64 (*.f64 l (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 l (PI.f64))) 1))
(log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 l (PI.f64))))) 1)
(.f64 (cbrt.f64 (.f64 l (PI.f64))) 1)
(.f64 1 (cbrt.f64 (.f64 l (PI.f64))))
(.f64 (pow.f64 (.f64 l (PI.f64)) 1/6) (pow.f64 (*.f64 l (PI.f64)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l))
(*.f64 (cbrt.f64 l) (cbrt.f64 (PI.f64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 l (PI.f64))))
(.f64 (pow.f64 (sqrt.f64 (.f64 l (PI.f64))) 1/3) (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 1/3))
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 1)
(pow.f64 (*.f64 l (PI.f64)) 1/3)
(pow.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 l (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 l (PI.f64))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 l (PI.f64)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 l (PI.f64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 l (PI.f64)))) 1))
(exp.f64 (.f64 (log.f64 (.f64 l (PI.f64))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 l (PI.f64)))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 l (PI.f64)))) 1)
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(.f64 (cbrt.f64 (.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))
(*.f64 l (PI.f64))
(.f64 (.f64 l (PI.f64)) 1)
(*.f64 l (PI.f64))
(.f64 1 (.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(.f64 (pow.f64 (.f64 l (PI.f64)) 1/6) (.f64 (pow.f64 (.f64 l (PI.f64)) 1/6) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))
(*.f64 l (PI.f64))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 l (PI.f64))
(.f64 (sqrt.f64 (.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)))
(*.f64 l (PI.f64))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))
(*.f64 l (PI.f64))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 l (PI.f64))
(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(.f64 (cbrt.f64 l) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))
(.f64 (cbrt.f64 l) (.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)))
(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
(*.f64 l (PI.f64))
(.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 l (PI.f64))
(.f64 (.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
(*.f64 l (PI.f64))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) 1) (cbrt.f64 (.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (pow.f64 (.f64 l (PI.f64)) 1/6)) (pow.f64 (*.f64 l (PI.f64)) 1/6))
(*.f64 l (PI.f64))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))
(*.f64 l (PI.f64))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))
(.f64 (cbrt.f64 l) (.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)))
(.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) 3))
(*.f64 l (PI.f64))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) 2) 3) (cbrt.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))
(*.f64 l (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) l))
(*.f64 l (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 l (PI.f64)))))
(*.f64 l (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(*.f64 l (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(exp.f64 (log.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(exp.f64 (.f64 (log.f64 (.f64 l (PI.f64))) 1))
(*.f64 l (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 l (PI.f64))))) 1)
(cbrt.f64 (*.f64 l (PI.f64)))
(.f64 (cbrt.f64 (.f64 l (PI.f64))) 1)
(cbrt.f64 (*.f64 l (PI.f64)))
(.f64 1 (cbrt.f64 (.f64 l (PI.f64))))
(cbrt.f64 (*.f64 l (PI.f64)))
(.f64 (pow.f64 (.f64 l (PI.f64)) 1/6) (pow.f64 (*.f64 l (PI.f64)) 1/6))
(cbrt.f64 (*.f64 l (PI.f64)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 2))
(cbrt.f64 (*.f64 l (PI.f64)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) 1/3))
(cbrt.f64 (*.f64 l (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))
(cbrt.f64 (*.f64 l (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l))
(*.f64 (cbrt.f64 l) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))
(cbrt.f64 (*.f64 l (PI.f64)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 l (PI.f64))))
(cbrt.f64 (*.f64 l (PI.f64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 l (PI.f64))) 1/3) (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 l (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 l (PI.f64)))))
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 1)
(cbrt.f64 (*.f64 l (PI.f64)))
(pow.f64 (*.f64 l (PI.f64)) 1/3)
(cbrt.f64 (*.f64 l (PI.f64)))
(pow.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) 2)
(cbrt.f64 (*.f64 l (PI.f64)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 3)
(cbrt.f64 (*.f64 l (PI.f64)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))
(cbrt.f64 (*.f64 l (PI.f64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 l (PI.f64)))))
(cbrt.f64 (*.f64 l (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 l (PI.f64))))))
(cbrt.f64 (*.f64 l (PI.f64)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 l (PI.f64)))))
(cbrt.f64 (*.f64 l (PI.f64)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 l (PI.f64)))))
(cbrt.f64 (*.f64 l (PI.f64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 l (PI.f64)))) 1))
(cbrt.f64 (*.f64 l (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 l (PI.f64))) 1/3))
(cbrt.f64 (*.f64 l (PI.f64)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 l (PI.f64)))))
(cbrt.f64 (*.f64 l (PI.f64)))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 l (PI.f64))
✓	1.2b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)

Compiler

Compiled 20 to 11 computations (45% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	l	@	0	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
0.0ms	l	@	inf	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
0.0ms	l	@	-inf	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1880×	`add-sqr-sqrt`
1864×	`*-un-lft-identity`
1740×	`add-cube-cbrt`
1726×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	193	9
2	2591	9

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 l (PI.f64) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 l (PI.f64) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 l (PI.f64) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 l (PI.f64) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 l (PI.f64) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 l (PI.f64)) 2) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (+.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (-.f64 (fma.f64 l (PI.f64) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (-.f64 1 (*.f64 (fma.f64 l (PI.f64) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 l (PI.f64) -1) (fma.f64 l (PI.f64) -1))) (-.f64 1 (fma.f64 l (PI.f64) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 l (PI.f64) -1) (fma.f64 l (PI.f64) -1)) (fma.f64 l (PI.f64) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 l (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 l (PI.f64) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) (sqrt.f64 (fma.f64 l (PI.f64) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 l (PI.f64) 1)) 2) (cbrt.f64 (fma.f64 l (PI.f64) 1)) -1)))))

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1008×	`associate-+r-`
1006×	`associate--l+`
972×	`associate-/r*`
838×	`associate-+l-`
760×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1133
1	286	1063
2	1042	1055
3	4591	1055

Stop Event

1×	node limit

Counts

61 → 58

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(+.f64 1 (fma.f64 l (PI.f64) -1))
(+.f64 1 (*.f64 (fma.f64 l (PI.f64) -1) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(+.f64 (fma.f64 l (PI.f64) 1) -1)
(+.f64 (fma.f64 l (PI.f64) -1) 1)
(+.f64 -1 (fma.f64 l (PI.f64) 1))
(.f64 1 (.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(.f64 (.f64 l (PI.f64)) 1)
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l))
(.f64 (sqrt.f64 (.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))
(.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) l))
(.f64 (cbrt.f64 (.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
(.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (/.f64 1 (+.f64 (.f64 l (PI.f64)) 2)))
(.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (.f64 l (PI.f64)) 2))))
(.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 l (PI.f64)) 2) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (+.f64 (*.f64 l (PI.f64)) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (-.f64 (fma.f64 l (PI.f64) 1) -1))
(/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (-.f64 1 (*.f64 (fma.f64 l (PI.f64) 1) -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 l (PI.f64) -1) (fma.f64 l (PI.f64) -1))) (-.f64 1 (fma.f64 l (PI.f64) -1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 l (PI.f64) -1) (fma.f64 l (PI.f64) -1)) (fma.f64 l (PI.f64) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 l (PI.f64)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2))))
(pow.f64 (*.f64 l (PI.f64)) 1)
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) l))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 l (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
(exp.f64 (log.f64 (*.f64 l (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 l (PI.f64))) 1))
(log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))
(fma.f64 1 (fma.f64 l (PI.f64) 1) -1)
(fma.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) (sqrt.f64 (fma.f64 l (PI.f64) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 l (PI.f64) 1)) 2) (cbrt.f64 (fma.f64 l (PI.f64) 1)) -1)

Outputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(+.f64 1 (fma.f64 l (PI.f64) -1))
(*.f64 l (PI.f64))
(+.f64 1 (*.f64 (fma.f64 l (PI.f64) -1) 1))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(+.f64 (fma.f64 l (PI.f64) 1) -1)
(*.f64 l (PI.f64))
(+.f64 (fma.f64 l (PI.f64) -1) 1)
(*.f64 l (PI.f64))
(+.f64 -1 (fma.f64 l (PI.f64) 1))
(*.f64 l (PI.f64))
(.f64 1 (.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(.f64 (.f64 l (PI.f64)) 1)
(*.f64 l (PI.f64))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 l (PI.f64))
(.f64 (sqrt.f64 (.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)))
(*.f64 l (PI.f64))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 l (PI.f64))
(.f64 (cbrt.f64 (.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))
(*.f64 l (PI.f64))
(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
(*.f64 l (PI.f64))
(.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (/.f64 1 (+.f64 (.f64 l (PI.f64)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (/.f64 1 (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (fma.f64 l (PI.f64) 2))
(.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (.f64 l (PI.f64)) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 1 (*.f64 (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (fma.f64 l (PI.f64) (+.f64 2 (pow.f64 (fma.f64 l (PI.f64) 1) 2))))
(.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 l (PI.f64))
(.f64 (.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
(*.f64 l (PI.f64))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) 1))
(*.f64 l (PI.f64))
(/.f64 1 (/.f64 (+.f64 (*.f64 l (PI.f64)) 2) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (/.f64 1 (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (fma.f64 l (PI.f64) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 1 (*.f64 (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (fma.f64 l (PI.f64) (+.f64 2 (pow.f64 (fma.f64 l (PI.f64) 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (+.f64 (*.f64 l (PI.f64)) 2))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (/.f64 1 (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (fma.f64 l (PI.f64) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (-.f64 (fma.f64 l (PI.f64) 1) -1))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (/.f64 1 (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (fma.f64 l (PI.f64) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 1 (*.f64 (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (fma.f64 l (PI.f64) (+.f64 2 (pow.f64 (fma.f64 l (PI.f64) 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (-.f64 1 (*.f64 (fma.f64 l (PI.f64) 1) -1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 1 (*.f64 (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (fma.f64 l (PI.f64) (+.f64 2 (pow.f64 (fma.f64 l (PI.f64) 1) 2))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 l (PI.f64) -1) (fma.f64 l (PI.f64) -1))) (-.f64 1 (fma.f64 l (PI.f64) -1)))
(/.f64 (-.f64 1 (.f64 (fma.f64 l (PI.f64) -1) (fma.f64 l (PI.f64) -1))) (-.f64 2 (.f64 l (PI.f64))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 l (PI.f64) -1) (fma.f64 l (PI.f64) -1)) (fma.f64 l (PI.f64) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (+.f64 1 (*.f64 (fma.f64 l (PI.f64) -1) (-.f64 (fma.f64 l (PI.f64) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (fma.f64 (fma.f64 l (PI.f64) -1) (+.f64 (*.f64 l (PI.f64)) -2) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 l (PI.f64)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (/.f64 1 (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (fma.f64 l (PI.f64) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 1 (*.f64 (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (fma.f64 l (PI.f64) (+.f64 2 (pow.f64 (fma.f64 l (PI.f64) 1) 2))))
(pow.f64 (*.f64 l (PI.f64)) 1)
(*.f64 l (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(*.f64 l (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(*.f64 l (PI.f64))
(pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)
(*.f64 l (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))
(*.f64 l (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) l))
(*.f64 l (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 l (PI.f64)))))
(*.f64 l (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(*.f64 l (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(exp.f64 (log.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(exp.f64 (.f64 (log.f64 (.f64 l (PI.f64))) 1))
(*.f64 l (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(fma.f64 1 (fma.f64 l (PI.f64) 1) -1)
(*.f64 l (PI.f64))
(fma.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) (sqrt.f64 (fma.f64 l (PI.f64) 1)) -1)
(*.f64 l (PI.f64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 l (PI.f64) 1)) 2) (cbrt.f64 (fma.f64 l (PI.f64) 1)) -1)
(*.f64 l (PI.f64))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
✓	0.2b	(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
	0.2b	(*.f64 (PI.f64) l)
✓	0.3b	(/.f64 (PI.f64) F)

Compiler

Compiled 32 to 8 computations (75% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	l	@	inf	(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
0.0ms	l	@	inf	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
0.0ms	F	@	0	(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
0.0ms	l	@	-inf	(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
0.0ms	F	@	-inf	(/.f64 (PI.f64) F)

rewrite111.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

730×	`distribute-rgt-in`
684×	`distribute-lft-in`
594×	`distribute-lft-neg-in`
554×	`distribute-rgt-neg-in`
402×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	65
1	251	65
2	3728	63

Stop Event

1×	node limit

Counts

3 → 245

Calls

Call 1

Inputs
(/.f64 (PI.f64) F)
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) F))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (PI.f64) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (PI.f64) F)) (sqrt.f64 (/.f64 (PI.f64) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (PI.f64) F)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) F)) 2) (cbrt.f64 (/.f64 (PI.f64) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (PI.f64)) (/.f64 -1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (PI.f64) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (PI.f64) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 F) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) F) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 F)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (/.f64 (PI.f64) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 F (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 F (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) F) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (PI.f64) F)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (PI.f64) F)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (PI.f64) F) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (PI.f64) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (PI.f64) (neg.f64 F)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (PI.f64) F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (PI.f64) F)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) F))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (PI.f64) F) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (PI.f64) F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (PI.f64) F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) F)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (PI.f64) F)))))))

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simplify155.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1174×	`associate-+r+`
930×	`associate-+l+`
864×	`+-commutative`
856×	`fma-def`
692×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	574	11173
1	1608	9617
2	6678	9617

Stop Event

1×	node limit

Counts

293 → 308

Calls

Call 1

Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) F))) 1)
(*.f64 (PI.f64) (/.f64 1 F))
(*.f64 (/.f64 (PI.f64) F) 1)
(*.f64 1 (/.f64 (PI.f64) F))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) F)) (sqrt.f64 (/.f64 (PI.f64) F)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 F)))
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(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 2)) (+.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 3))) (+.f64 (pow.f64 (.f64 (PI.f64) l) 2) (-.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 2) (/.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 F F)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 3)) (-.f64 (.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (.f64 (PI.f64) l) 2)) (.f64 (.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) (fma.f64 (PI.f64) l (.f64 (/.f64 (PI.f64) (.f64 F F)) l))) (.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) (fma.f64 (PI.f64) l (.f64 (/.f64 (PI.f64) (.f64 F F)) l)))))) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) (fma.f64 (PI.f64) l (.f64 (/.f64 (PI.f64) (.f64 F F)) l)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 3)) (+.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) l) 2) 3) (pow.f64 (.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) (fma.f64 (PI.f64) l (.f64 (/.f64 (PI.f64) (.f64 F F)) l))) 3))) (+.f64 (.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (.f64 (PI.f64) l) 2)) (.f64 (.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) (fma.f64 (PI.f64) l (.f64 (/.f64 (PI.f64) (.f64 F F)) l))) (-.f64 (.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) (fma.f64 (PI.f64) l (.f64 (/.f64 (PI.f64) (.f64 F F)) l))) (pow.f64 (*.f64 (PI.f64) l) 2)))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) l (.f64 (/.f64 (PI.f64) (.f64 F F)) l)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (*.f64 F F)) l) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) (fma.f64 (PI.f64) l (.f64 (/.f64 (PI.f64) (.f64 F F)) l)))) (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (/.f64 (PI.f64) (*.f64 F F)) l) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 2)) (fma.f64 (PI.f64) l (.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 2)) (-.f64 (.f64 (PI.f64) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l)))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) (fma.f64 (PI.f64) l (.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F)))) 2) (.f64 (.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 0) (.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 0))) (-.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F)))) (.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 0)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (.f64 (PI.f64) l) 2)) (.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 2))) (.f64 (fma.f64 (PI.f64) l (.f64 (/.f64 (PI.f64) (.f64 F F)) l)) (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 2) (pow.f64 (.f64 (PI.f64) l) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (PI.f64) l) 3)) (.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 3) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 3))) (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) (fma.f64 (PI.f64) l (.f64 (/.f64 (PI.f64) (.f64 F F)) l)))) (+.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 3))))
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (neg.f64 (PI.f64)) (.f64 F (/.f64 F l))) 3)) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 2) (pow.f64 (.f64 (PI.f64) l) 2)) (neg.f64 (/.f64 (pow.f64 (.f64 (PI.f64) l) 2) (*.f64 F F)))))
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F)))) 3) (pow.f64 (.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 0) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F)))) 2) (.f64 (.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 0) (-.f64 (.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 0) (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) l) 2) 3) (pow.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 2) 3)) (.f64 (fma.f64 (PI.f64) l (.f64 (/.f64 (PI.f64) (.f64 F F)) l)) (+.f64 (.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (.f64 (PI.f64) l) 2)) (.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 2) (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 2) (pow.f64 (*.f64 (PI.f64) l) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) l) 3) 3) (pow.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 3) 3)) (.f64 (+.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) (fma.f64 (PI.f64) l (.f64 (/.f64 (PI.f64) (.f64 F F)) l)))) (+.f64 (.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (PI.f64) l) 3)) (.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 3) (+.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (/.f64 (PI.f64) (*.f64 F F)) l) 3))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 2)) (neg.f64 (fma.f64 (PI.f64) l (.f64 (/.f64 (PI.f64) (*.f64 F F)) l))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) (fma.f64 (PI.f64) l (.f64 (/.f64 (PI.f64) (*.f64 F F)) l))))))
(pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F)))) 1)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))) 2)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F)))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 2)) (neg.f64 (fma.f64 (PI.f64) l (.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) (fma.f64 (PI.f64) l (.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))))))
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F)))) 2))
(log.f64 (exp.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F)))))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F)))) 3))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))))
(exp.f64 (log.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (-.f64 l (*.f64 (/.f64 1 F) (/.f64 l F))))) 1))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))))
(fma.f64 (PI.f64) l (/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l))))
(fma.f64 l (PI.f64) (/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l))))
(fma.f64 1 (.f64 (PI.f64) l) (/.f64 (neg.f64 (PI.f64)) (.f64 F (/.f64 F l))))
(fma.f64 1 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F)))) (.f64 (.f64 (/.f64 (PI.f64) (*.f64 F F)) l) 0))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))) (sqrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))) (.f64 (.f64 (/.f64 (PI.f64) (*.f64 F F)) l) 0))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l)) (/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))) 2) (cbrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))) (.f64 (.f64 (/.f64 (PI.f64) (*.f64 F F)) l) 0))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (cbrt.f64 (.f64 (PI.f64) l)) (/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l))))

Outputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
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(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
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(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
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(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
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(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
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(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
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(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
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(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
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(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
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(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
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(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
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(/.f64 (+.f64 (pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 2) (neg.f64 (pow.f64 (.f64 l (PI.f64)) 2))) (neg.f64 (fma.f64 (PI.f64) l (.f64 l (/.f64 (PI.f64) (*.f64 F F))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) (.f64 F (/.f64 F l))) 2) (pow.f64 (.f64 l (PI.f64)) 2)) (neg.f64 (.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l) (fma.f64 (PI.f64) l (.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))))))
(/.f64 (+.f64 (pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 3) (neg.f64 (pow.f64 (.f64 l (PI.f64)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 l (PI.f64)) 2) (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (fma.f64 (PI.f64) l (.f64 l (/.f64 (PI.f64) (*.f64 F F))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) (.f64 F (/.f64 F l))) 3) (pow.f64 (.f64 l (PI.f64)) 3)) (neg.f64 (fma.f64 (/.f64 (PI.f64) (.f64 F F)) (.f64 l (.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F))))) (pow.f64 (*.f64 l (PI.f64)) 2))))
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F)))) 2))
(fabs.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))))
(log.f64 (exp.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F)))))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F)))) 3))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(exp.f64 (log.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (-.f64 l (*.f64 (/.f64 1 F) (/.f64 l F))))) 1))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(fma.f64 (PI.f64) l (/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(fma.f64 l (PI.f64) (/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(fma.f64 1 (.f64 (PI.f64) l) (/.f64 (neg.f64 (PI.f64)) (.f64 F (/.f64 F l))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(fma.f64 1 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F)))) (.f64 (.f64 (/.f64 (PI.f64) (*.f64 F F)) l) 0))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))) (sqrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))) (.f64 (.f64 (/.f64 (PI.f64) (*.f64 F F)) l) 0))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) l)) (sqrt.f64 (.f64 (PI.f64) l)) (/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))) 2) (cbrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))) (.f64 (.f64 (/.f64 (PI.f64) (*.f64 F F)) l) 0))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (cbrt.f64 (.f64 (PI.f64) l)) (/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
✓	0.2b	(/.f64 (*.f64 F F) (PI.f64))
✓	10.8b	(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))

Compiler

Compiled 39 to 8 computations (79.5% saved)

series3.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	l	@	-inf	(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
0.0ms	l	@	inf	(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
0.0ms	F	@	0	(/.f64 (*.f64 F F) (PI.f64))
0.0ms	F	@	inf	(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
0.0ms	F	@	inf	(/.f64 (*.f64 F F) (PI.f64))

rewrite104.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`associate-/r/`
896×	`swap-sqr`
528×	`distribute-lft-neg-in`
468×	`associate-/l/`
456×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	71
1	274	67
2	3828	63

Stop Event

1×	node limit

Counts

3 → 331

Calls

Call 1

Inputs
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(/.f64 (*.f64 F F) (PI.f64))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 (PI.f64) (*.f64 F (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 l (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 l (*.f64 F (neg.f64 F))))))) (#(struct:change #<rule 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(2) ((x *.f64 (*.f64 (/.f64 1 F) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (neg.f64 l) F) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 F) (sqrt.f64 (PI.f64))) (/.f64 l (/.f64 F (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) F)) 2)) (/.f64 l (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) F)) 2)) (neg.f64 (/.f64 l (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) F)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (*.f64 F (neg.f64 F))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (*.f64 F (neg.f64 F))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 l) 1) (/.f64 (PI.f64) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 l) 1) (/.f64 (PI.f64) (*.f64 F (neg.f64 F))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (-.f64 (*.f64 (cbrt.f64 l) (PI.f64)) (*.f64 (cbrt.f64 l) (/.f64 (PI.f64) (*.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))) 2) (cbrt.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (+.f64 (*.f64 (/.f64 l (*.f64 F F)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (+.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (*.f64 (/.f64 l (*.f64 F F)) (pow.f64 (cbrt.f64 (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (-.f64 (*.f64 l (pow.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) 3) (pow.f64 (*.f64 l (PI.f64)) 3)) (+.f64 (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) (-.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) (*.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))))))))

simplify193.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1208×	`associate-r`
1190×	`*-commutative`
1130×	`associate-*r/`
1022×	`associate-*l/`
1012×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	702	12339
1	2208	12019

Stop Event

1×	node limit

Counts

391 → 453

Calls

Call 1

Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 0)
(+.f64 0 (.f64 l (/.f64 (PI.f64) (.f64 F F))))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))))) 1)
(-.f64 0 (.f64 l (/.f64 (PI.f64) (.f64 F F))))
(-.f64 (exp.f64 (log1p.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))))) 1)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F (neg.f64 F))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (PI.f64) (/.f64 l (.f64 F (neg.f64 F))))
(.f64 (.f64 l (/.f64 (PI.f64) (*.f64 F F))) 1)
(.f64 (.f64 l (/.f64 (PI.f64) (*.f64 F F))) -1)
(.f64 1 (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(.f64 (.f64 (/.f64 (sqrt.f64 l) F) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 l) F) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (/.f64 (PI.f64) (*.f64 F F))))
(.f64 (sqrt.f64 l) (neg.f64 (.f64 (sqrt.f64 l) (/.f64 (PI.f64) (*.f64 F F)))))
(.f64 (cbrt.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (pow.f64 (cbrt.f64 (.f64 l (/.f64 (PI.f64) (*.f64 F F)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))) 2) (cbrt.f64 (.f64 l (/.f64 (PI.f64) (*.f64 F F)))))
(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (/.f64 (PI.f64) (*.f64 F F))))
(.f64 (pow.f64 (cbrt.f64 l) 2) (neg.f64 (.f64 (cbrt.f64 l) (/.f64 (PI.f64) (*.f64 F F)))))
(.f64 (/.f64 l (.f64 F F)) (PI.f64))
(.f64 (/.f64 l (.f64 F F)) (neg.f64 (PI.f64)))
(.f64 (neg.f64 l) (/.f64 (PI.f64) (.f64 F F)))
(.f64 (neg.f64 l) (/.f64 (PI.f64) (.f64 F (neg.f64 F))))
(.f64 -1 (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(.f64 (/.f64 (PI.f64) (.f64 F F)) l)
(.f64 (/.f64 (PI.f64) (.f64 F F)) (neg.f64 l))
(.f64 (neg.f64 (PI.f64)) (/.f64 l (.f64 F F)))
(.f64 (.f64 (/.f64 l (*.f64 F F)) 1) (PI.f64))
(.f64 (.f64 (/.f64 l (*.f64 F F)) 1) (neg.f64 (PI.f64)))
(.f64 (.f64 (/.f64 l (*.f64 F F)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (/.f64 l (*.f64 F F)) (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 (.f64 (/.f64 l (*.f64 F F)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (/.f64 l (*.f64 F F)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (neg.f64 (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))
(.f64 (/.f64 1 (.f64 F F)) (*.f64 (/.f64 l 1) (PI.f64)))
(.f64 (/.f64 1 (.f64 F F)) (neg.f64 (*.f64 (/.f64 l 1) (PI.f64))))
(.f64 (.f64 (/.f64 1 F) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (neg.f64 l) F) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (/.f64 1 F) (sqrt.f64 (PI.f64))) (/.f64 l (/.f64 F (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (/.f64 F (PI.f64)) F)) 2)) (/.f64 l (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) F))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (/.f64 F (PI.f64)) F)) 2)) (neg.f64 (/.f64 l (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) F)))))
(.f64 (/.f64 l (.f64 F (neg.f64 F))) (PI.f64))
(.f64 (/.f64 l (.f64 F (neg.f64 F))) (neg.f64 (PI.f64)))
(.f64 (/.f64 (neg.f64 l) 1) (/.f64 (PI.f64) (.f64 F F)))
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(*.f64 (/.f64 F (sqrt.f64 (PI.f64))) (/.f64 F (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 F (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (neg.f64 F) (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (/.f64 F (PI.f64)) F)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) F)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 F (PI.f64)) F)) 2) (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) F)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 F (PI.f64)) F)) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) F)))))
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(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 F (PI.f64)) (neg.f64 F))) (cbrt.f64 (.f64 (/.f64 F (PI.f64)) (neg.f64 F)))) (neg.f64 (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F)))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (.f64 F F) (sqrt.f64 (PI.f64))))
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(*.f64 (/.f64 F (PI.f64)) F)
(*.f64 (/.f64 (neg.f64 F) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 F) (sqrt.f64 (PI.f64))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 F (PI.f64)) F)) 2)) (neg.f64 (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) F))))
(.f64 (/.f64 -1 (PI.f64)) (.f64 F (neg.f64 F)))
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(*.f64 (/.f64 F 1) (/.f64 F (PI.f64)))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 F 4)) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 F) 2) (sqrt.f64 (PI.f64))))
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(*.f64 (/.f64 F (neg.f64 (PI.f64))) (neg.f64 F))
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(.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 (/.f64 F (PI.f64)) (neg.f64 F))) (cbrt.f64 (.f64 (/.f64 F (PI.f64)) (neg.f64 F))))) (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F))))
(*.f64 (neg.f64 (/.f64 (neg.f64 F) (sqrt.f64 (PI.f64)))) (/.f64 F (sqrt.f64 (PI.f64))))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 F (PI.f64)) F)) 2))) (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) F)))
(pow.f64 (*.f64 (/.f64 F (PI.f64)) F) 1)
(pow.f64 (/.f64 F (sqrt.f64 (PI.f64))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) F)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 F (PI.f64)) F) 3) 1/3)
(pow.f64 (/.f64 (PI.f64) (*.f64 F F)) -1)
(neg.f64 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F)))
(neg.f64 (/.f64 F (/.f64 (PI.f64) (neg.f64 F))))
(neg.f64 (/.f64 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F)) 1))
(sqrt.f64 (/.f64 (pow.f64 F 4) (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (*.f64 (/.f64 F (PI.f64)) F)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 F (PI.f64)) F))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 F (PI.f64)) F) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 F F) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 F (PI.f64)) F)))
(exp.f64 (log.f64 (*.f64 (/.f64 F (PI.f64)) F)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 F (PI.f64)) F)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 F (PI.f64)) F)))
(+.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (*.f64 l (PI.f64)))
(+.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (.f64 (.f64 l (PI.f64)) 1))
(+.f64 0 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l)))
(+.f64 (.f64 l (PI.f64)) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(+.f64 (+.f64 0 (.f64 l (PI.f64))) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(+.f64 (.f64 (.f64 l (PI.f64)) 1) (.f64 l (/.f64 (PI.f64) (.f64 F F))))
(+.f64 (+.f64 (.f64 (.f64 l (PI.f64)) 1) 0) (.f64 l (/.f64 (PI.f64) (.f64 F F))))
(+.f64 (-.f64 (.f64 l (PI.f64)) 0) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(+.f64 (-.f64 (+.f64 0 (.f64 l (PI.f64))) 0) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(+.f64 (-.f64 (.f64 l (PI.f64)) (exp.f64 (log1p.f64 (.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) 1)
(+.f64 (-.f64 (+.f64 0 (.f64 l (PI.f64))) (exp.f64 (log1p.f64 (.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) 1)
(+.f64 (.f64 1 (.f64 (.f64 l (PI.f64)) 1)) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(+.f64 (.f64 (.f64 (.f64 l (PI.f64)) 1) 1) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(-.f64 0 (-.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (*.f64 l (PI.f64))))
(-.f64 (.f64 l (PI.f64)) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))))) (-.f64 1 (*.f64 l (PI.f64))))
(-.f64 (+.f64 0 (.f64 l (PI.f64))) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(-.f64 (+.f64 (.f64 (.f64 l (PI.f64)) 1) 0) (.f64 l (/.f64 (PI.f64) (.f64 F F))))
(-.f64 (+.f64 (.f64 l (PI.f64)) (exp.f64 (log1p.f64 (.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) 1)
(-.f64 (+.f64 (.f64 (.f64 l (PI.f64)) 1) (exp.f64 (log1p.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))))) 1)
(-.f64 (-.f64 (.f64 l (PI.f64)) 0) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(-.f64 (-.f64 (+.f64 0 (.f64 l (PI.f64))) 0) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(.f64 l (+.f64 (/.f64 (PI.f64) (.f64 F F)) (PI.f64)))
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(.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F (neg.f64 F)))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F (neg.f64 F)))))
(.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))
(.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F))))
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(.f64 (PI.f64) (+.f64 (.f64 (/.f64 l (*.f64 F F)) 1) l))
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(.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F (neg.f64 F)))))
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(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F (neg.f64 F)))))
(.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l)) 1)
(.f64 1 (.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l)))
(.f64 (sqrt.f64 l) (+.f64 (.f64 (sqrt.f64 l) (/.f64 (PI.f64) (.f64 F F))) (.f64 (sqrt.f64 l) (PI.f64))))
(.f64 (sqrt.f64 l) (+.f64 (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (sqrt.f64 l) (/.f64 (PI.f64) (.f64 F F)))))
(.f64 (sqrt.f64 l) (-.f64 (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (sqrt.f64 l) (/.f64 (PI.f64) (.f64 F F)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))) (sqrt.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 l (.f64 F F)) (sqrt.f64 (PI.f64))) (.f64 l (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 l (sqrt.f64 (PI.f64))) (.f64 (/.f64 l (.f64 F F)) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (-.f64 (.f64 l (sqrt.f64 (PI.f64))) (.f64 (/.f64 l (.f64 F F)) (sqrt.f64 (PI.f64)))))
(.f64 (pow.f64 (cbrt.f64 l) 2) (+.f64 (.f64 (cbrt.f64 l) (/.f64 (PI.f64) (.f64 F F))) (.f64 (cbrt.f64 l) (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 l) 2) (+.f64 (.f64 (cbrt.f64 l) (PI.f64)) (.f64 (cbrt.f64 l) (/.f64 (PI.f64) (.f64 F F)))))
(.f64 (pow.f64 (cbrt.f64 l) 2) (-.f64 (.f64 (cbrt.f64 l) (PI.f64)) (.f64 (cbrt.f64 l) (/.f64 (PI.f64) (.f64 F F)))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))) (pow.f64 (cbrt.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))) 2) (cbrt.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))))
(.f64 (cbrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 l (.f64 F F)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2))))
(.f64 (cbrt.f64 (PI.f64)) (+.f64 (.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (.f64 (/.f64 l (.f64 F F)) (pow.f64 (cbrt.f64 (PI.f64)) 2))))
(.f64 (cbrt.f64 (PI.f64)) (-.f64 (.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (.f64 (/.f64 l (.f64 F F)) (pow.f64 (cbrt.f64 (PI.f64)) 2))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 2)) (+.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 2))) (.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 2)) (+.f64 (pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 3) (pow.f64 (.f64 l (PI.f64)) 3))) (+.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (.f64 l (PI.f64))))))
(/.f64 (+.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 2)) (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l)))
(/.f64 (+.f64 (pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 3) (pow.f64 (.f64 l (PI.f64)) 3)) (+.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (*.f64 l (PI.f64))))))
(pow.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l)) 1)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))) 2)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l)) 2))
(log.f64 (exp.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l)))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l)) 3))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))))
(exp.f64 (log.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))) 1))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))))

Outputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
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(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
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(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
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(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
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(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
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(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
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(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
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(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
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(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
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(.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(.f64 (.f64 (sqrt.f64 l) (sqrt.f64 l)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(.f64 (sqrt.f64 l) (+.f64 (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (sqrt.f64 l) (/.f64 (PI.f64) (.f64 F F)))))
(.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(.f64 (.f64 (sqrt.f64 l) (sqrt.f64 l)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(.f64 (sqrt.f64 l) (-.f64 (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (sqrt.f64 l) (/.f64 (PI.f64) (.f64 F F)))))
(.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(.f64 (.f64 (sqrt.f64 l) (sqrt.f64 l)) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))) (sqrt.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))))
(.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 l (.f64 F F)) (sqrt.f64 (PI.f64))) (.f64 l (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 l (/.f64 l (*.f64 F F)))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (+.f64 l (/.f64 l (*.f64 F F))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 l (sqrt.f64 (PI.f64))) (.f64 (/.f64 l (.f64 F F)) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 l (/.f64 l (*.f64 F F)))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (+.f64 l (/.f64 l (*.f64 F F))))
(.f64 (sqrt.f64 (PI.f64)) (-.f64 (.f64 l (sqrt.f64 (PI.f64))) (.f64 (/.f64 l (.f64 F F)) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (-.f64 l (/.f64 l (*.f64 F F)))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (-.f64 l (/.f64 l (*.f64 F F))))
(.f64 (pow.f64 (cbrt.f64 l) 2) (+.f64 (.f64 (cbrt.f64 l) (/.f64 (PI.f64) (.f64 F F))) (.f64 (cbrt.f64 l) (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(.f64 (.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 l) 2)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(.f64 (pow.f64 (cbrt.f64 l) 2) (+.f64 (.f64 (cbrt.f64 l) (PI.f64)) (.f64 (cbrt.f64 l) (/.f64 (PI.f64) (.f64 F F)))))
(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(.f64 (.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 l) 2)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(.f64 (pow.f64 (cbrt.f64 l) 2) (-.f64 (.f64 (cbrt.f64 l) (PI.f64)) (.f64 (cbrt.f64 l) (/.f64 (PI.f64) (.f64 F F)))))
(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(.f64 (cbrt.f64 l) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (pow.f64 (cbrt.f64 l) 2)))
(.f64 (cbrt.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))) (pow.f64 (cbrt.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))) 2))
(.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))) 2) (cbrt.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))))
(.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F))))
(.f64 (cbrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 l (.f64 F F)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (+.f64 l (/.f64 l (*.f64 F F)))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (+.f64 l (/.f64 l (*.f64 F F))) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (PI.f64)) (+.f64 (.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (.f64 (/.f64 l (.f64 F F)) (pow.f64 (cbrt.f64 (PI.f64)) 2))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (+.f64 l (/.f64 l (*.f64 F F)))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (+.f64 l (/.f64 l (*.f64 F F))) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (PI.f64)) (-.f64 (.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (.f64 (/.f64 l (.f64 F F)) (pow.f64 (cbrt.f64 (PI.f64)) 2))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (-.f64 l (/.f64 l (*.f64 F F)))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (-.f64 l (/.f64 l (*.f64 F F))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 2)) (+.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 2))) (.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l)))
(.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 2)) (+.f64 (pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 3) (pow.f64 (.f64 l (PI.f64)) 3))) (+.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (.f64 l (PI.f64))))))
(/.f64 (.f64 (fma.f64 (.f64 l l) (pow.f64 (PI.f64) 2) (pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 2)) (fma.f64 (.f64 l l) (pow.f64 (PI.f64) 2) (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (.f64 l (-.f64 (/.f64 (PI.f64) (.f64 F F)) (PI.f64)))))) (+.f64 (pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 3) (pow.f64 (*.f64 l (PI.f64)) 3)))
(.f64 (/.f64 (fma.f64 (.f64 l l) (pow.f64 (PI.f64) 2) (pow.f64 (.f64 (PI.f64) (/.f64 l (.f64 F F))) 2)) (+.f64 (pow.f64 (.f64 (PI.f64) (/.f64 l (.f64 F F))) 3) (pow.f64 (.f64 l (PI.f64)) 3))) (.f64 l (+.f64 (.f64 l (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (PI.f64) (.f64 F F)) (.f64 (PI.f64) (-.f64 (/.f64 l (*.f64 F F)) l))))))
(/.f64 (+.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 2)) (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l)))
(/.f64 (fma.f64 (.f64 l l) (pow.f64 (PI.f64) 2) (pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 2)) (.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))))
(/.f64 (fma.f64 (.f64 l l) (pow.f64 (PI.f64) 2) (pow.f64 (.f64 (PI.f64) (/.f64 l (.f64 F F))) 2)) (.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))))
(/.f64 (+.f64 (pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 3) (pow.f64 (.f64 l (PI.f64)) 3)) (+.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (*.f64 l (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 3) (pow.f64 (.f64 l (PI.f64)) 3)) (fma.f64 (.f64 l l) (pow.f64 (PI.f64) 2) (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (.f64 l (-.f64 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) (/.f64 l (.f64 F F))) 3) (pow.f64 (.f64 l (PI.f64)) 3)) (.f64 l (+.f64 (.f64 l (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (PI.f64) (.f64 F F)) (.f64 (PI.f64) (-.f64 (/.f64 l (*.f64 F F)) l))))))
(pow.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l)) 1)
(.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F))))
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))) 2)
(.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F))))
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))) 3)
(.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F))))
(pow.f64 (pow.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l)) 3) 1/3)
(.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F))))
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l)) 2))
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F)))) 2))
(log.f64 (exp.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))))
(.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l)))))
(.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l)) 3))
(.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F))))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))))
(.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F))))
(exp.f64 (log.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))))
(.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))) 1))
(.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F))))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))))
(.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F))))

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) F)
	0.6b	(cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))
	0.7b	(pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3)
	34.5b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 68 to 28 computations (58.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	l	@	-inf	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) F)
0.0ms	l	@	0	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) F)
0.0ms	F	@	inf	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) F)
0.0ms	l	@	inf	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) F)
0.0ms	F	@	0	(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) F)

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`*-commutative`
958×	`associate-/r*`
858×	`unswap-sqr`
820×	`associate-/l*`
700×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	269	19
2	3122	19

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

Inputs
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) F)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 -1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (sqrt.f64 F)) (/.f64 1 (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 F)) (/.f64 1 (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 F) (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 F)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (sqrt.f64 F)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 F)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6) 3) (sqrt.f64 (/.f64 1 F))) (*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6) 3) (sqrt.f64 (/.f64 1 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))) (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1 F)) (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6) 3)) (*.f64 (sqrt.f64 (/.f64 1 F)) (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 -1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))))

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

900×	`associate-*r/`
774×	`associate-/l*`
682×	`unswap-sqr`
610×	`*-commutative`
584×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	2965
1	510	2797
2	1762	2697
3	6980	2697

Stop Event

1×	node limit

Counts

81 → 85

Calls

Call 1

Inputs
(/.f64 (*.f64 l (PI.f64)) F)
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (.f64 l (PI.f64)) F) (+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)) (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) F)) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F)) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) F))))) (pow.f64 l 7)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) 1)
(.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F))
(.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 F))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 1)
(.f64 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))
(.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(.f64 (/.f64 1 F) (tan.f64 (.f64 (PI.f64) l)))
(.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 -1 F))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) F) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1))
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 1))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (sqrt.f64 F)) (/.f64 1 (sqrt.f64 F)))
(.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (sqrt.f64 F)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 F)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 F)) (/.f64 1 (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 -1 F) (neg.f64 (tan.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 1) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F))
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (sqrt.f64 F)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (sqrt.f64 F)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (sqrt.f64 F)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 F)))
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 F)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (cbrt.f64 F)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F)))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 F)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(.f64 (.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6) 3) (sqrt.f64 (/.f64 1 F))) (.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6) 3) (sqrt.f64 (/.f64 1 F))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))) (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 F)) (pow.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6) 3)) (.f64 (sqrt.f64 (/.f64 1 F)) (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6) 3)))
(pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 3)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) 1/3)
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(neg.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)) 1))
(neg.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 -1 F)))
(neg.f64 (.f64 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))

Outputs
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 l (/.f64 F (PI.f64)))
(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))
(+.f64 (/.f64 l (/.f64 F (PI.f64))) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3)))
(fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (.f64 (/.f64 l F) (PI.f64)))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (.f64 (pow.f64 l 3) 1/3) (.f64 (PI.f64) (/.f64 l F)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (+.f64 (/.f64 l (/.f64 F (PI.f64))) (.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3))))
(fma.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 5) (/.f64 F 1/120)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (.f64 (/.f64 l F) (PI.f64))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (.f64 (pow.f64 l 3) 1/3) (fma.f64 (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 (/.f64 (PI.f64) (/.f64 F (.f64 (pow.f64 (PI.f64) 4) 1/3))) 1/2)) (pow.f64 l 5) (*.f64 (PI.f64) (/.f64 l F))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (.f64 l (PI.f64)) F) (+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)) (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) F)) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F)) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) F))))) (pow.f64 l 7)))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (+.f64 (/.f64 l (/.f64 F (PI.f64))) (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (fma.f64 1/24 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 4))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2)))) (/.f64 F (pow.f64 (PI.f64) 2))))))) (pow.f64 l 7)))))
(+.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 5) (/.f64 F 1/120)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (.f64 (/.f64 l F) (PI.f64)))) (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (/.f64 F (pow.f64 (PI.f64) 4)) 1/3)) (fma.f64 -1/2 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 2))))) (/.f64 F (pow.f64 (PI.f64) 2))) (*.f64 (/.f64 (pow.f64 (PI.f64) 7) F) -1/720)))) (pow.f64 l 7)))
(fma.f64 (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 (/.f64 (PI.f64) (/.f64 F (.f64 (pow.f64 (PI.f64) 4) 1/3))) 1/2)) (pow.f64 l 5) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (.f64 (pow.f64 l 3) 1/3) (fma.f64 (-.f64 (fma.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F 1/3)) (pow.f64 (PI.f64) 4)) -1/24)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) F) (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) -1/3)))) (.f64 (/.f64 (pow.f64 (PI.f64) 7) F) -1/720))) (pow.f64 l 7) (.f64 (PI.f64) (/.f64 l F)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) 1)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 1)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (/.f64 1 F) (tan.f64 (.f64 (PI.f64) l)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 -1 F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) F) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 1))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (sqrt.f64 F)) (/.f64 1 (sqrt.f64 F)))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (sqrt.f64 F)) (/.f64 1 (sqrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (sqrt.f64 F)) (sqrt.f64 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (sqrt.f64 F) (sqrt.f64 F)))
(.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (sqrt.f64 F)))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (sqrt.f64 F)) (/.f64 1 (sqrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (sqrt.f64 F)) (sqrt.f64 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (sqrt.f64 F) (sqrt.f64 F)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 F)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (cbrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F))
(pow.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) (cbrt.f64 F)) 3)
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 F)) (/.f64 1 (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (cbrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F))
(pow.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) (cbrt.f64 F)) 3)
(.f64 (/.f64 -1 F) (neg.f64 (tan.f64 (.f64 (PI.f64) l))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 1) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (sqrt.f64 F)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (sqrt.f64 F)))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (sqrt.f64 F)) (/.f64 1 (sqrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (sqrt.f64 F)) (sqrt.f64 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (sqrt.f64 F) (sqrt.f64 F)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (sqrt.f64 F)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 F)))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (sqrt.f64 F)) (/.f64 1 (sqrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (sqrt.f64 F)) (sqrt.f64 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (sqrt.f64 F) (sqrt.f64 F)))
(.f64 (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 F)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (cbrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F))
(pow.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) (cbrt.f64 F)) 3)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (cbrt.f64 F)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (cbrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F))
(pow.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) (cbrt.f64 F)) 3)
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (cbrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F))
(pow.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) (cbrt.f64 F)) 3)
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 F)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (cbrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F))
(pow.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) (cbrt.f64 F)) 3)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6) 3) (sqrt.f64 (/.f64 1 F))) (.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6) 3) (sqrt.f64 (/.f64 1 F))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) 2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F)) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F))) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))) (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) 2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F)) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F))) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 F)) (pow.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1/6) 3)) (.f64 (sqrt.f64 (/.f64 1 F)) (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6) 3)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 3)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) 1/3)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(neg.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)) 1))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(neg.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 -1 F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(neg.f64 (.f64 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 2))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)

eval453.0ms (3.8%)

Compiler: Compiled 25469 to 9099 computations (64.3% saved)

prune519.0ms (4.3%)

Pruning

33 alts after pruning (27 fresh and 6 done)

	Pruned	Kept	Total
New	1173	13	1186
Fresh	5	14	19
Picked	0	1	1
Done	2	5	7
Total	1180	33	1213

Error

0.2b

Counts

1213 → 33

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.3b	(fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	12.1b	(pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 3)
	39.7b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
✓	11.9b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	38.8b	(/.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) 2) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))))
	27.4b	(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))
	52.7b	(/.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (fma.f64 (fma.f64 l (PI.f64) -1) (+.f64 (*.f64 l (PI.f64)) -2) 1))
	52.8b	(/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l)))
	56.9b	(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
	17.4b	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
✓	24.5b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	28.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F))) 3) 1/3) (pow.f64 (cbrt.f64 F) 2)))
✓	17.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3) (*.f64 F F)))
	12.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	18.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 F) 2)) (.f64 (/.f64 F l) (cbrt.f64 F))))
	22.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (log.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	18.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 (/.f64 F (PI.f64)) (/.f64 F l))))
	24.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) 1/3) (/.f64 1 F)))
✓	13.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) F) (/.f64 1 F)))
✓	18.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	18.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (/.f64 l F) (PI.f64)) (/.f64 1 F)))
	12.0b	(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
▶	11.8b	(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))
▶	39.7b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
▶	23.0b	(.f64 (.f64 (PI.f64) l) (-.f64 1 (/.f64 1 (*.f64 F F))))
	22.6b	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
	18.5b	(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))
	28.6b	(.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))
▶	57.3b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
	27.7b	(.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))) 3)))
✓	11.0b	(*.f64 l (PI.f64))
	33.0b	(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
	47.5b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 833 to 583 computations (30% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)
	0.5b	(cbrt.f64 (*.f64 l (PI.f64)))
✓	0.6b	(cbrt.f64 l)
✓	1.0b	(cbrt.f64 (PI.f64))

Compiler

Compiled 43 to 17 computations (60.5% saved)

series1.0ms (0%)

Counts

3 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	l	@	-inf	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)
0.0ms	l	@	inf	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)
0.0ms	l	@	0	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)
0.0ms	l	@	0	(cbrt.f64 l)
0.0ms	l	@	-inf	(cbrt.f64 l)

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1932×	`add-sqr-sqrt`
1912×	`*-un-lft-identity`
1774×	`add-cube-cbrt`
1748×	`add-cbrt-cube`
214×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	229	31
2	2549	31

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(cbrt.f64 (PI.f64))
(cbrt.f64 l)
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (PI.f64) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/3) (pow.f64 (sqrt.f64 (PI.f64)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (PI.f64)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (PI.f64))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l 1/6) (pow.f64 l 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 l)) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2) (cbrt.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 l) 1/3) (pow.f64 (sqrt.f64 l) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 l) 2) 1/3) (cbrt.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 l 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 l 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 l) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 l)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 l) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (*.f64 (PI.f64) l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) l) 1/6) (*.f64 (pow.f64 (*.f64 (PI.f64) l) 1/6) (cbrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 (PI.f64) l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)))))))

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1762×	`associate-+r+`
1642×	`distribute-rgt-in`
1596×	`associate-+l+`
1588×	`distribute-lft-in`
856×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	911
1	250	911
2	947	911
3	3124	911

Stop Event

1×	node limit

Counts

63 → 72

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (PI.f64)))) 1)
(*.f64 (cbrt.f64 (PI.f64)) 1)
(*.f64 1 (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (PI.f64) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/3) (pow.f64 (sqrt.f64 (PI.f64)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/3)
(pow.f64 (cbrt.f64 (PI.f64)) 1)
(pow.f64 (pow.f64 (PI.f64) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))
(log.f64 (exp.f64 (cbrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (PI.f64)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (PI.f64))))
(exp.f64 (log.f64 (cbrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 l))) 1)
(*.f64 (cbrt.f64 l) 1)
(*.f64 1 (cbrt.f64 l))
(*.f64 (pow.f64 l 1/6) (pow.f64 l 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 l)) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2) (cbrt.f64 (cbrt.f64 l)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 l))
(*.f64 (pow.f64 (sqrt.f64 l) 1/3) (pow.f64 (sqrt.f64 l) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 l) 2) 1/3) (cbrt.f64 (cbrt.f64 l)))
(pow.f64 l 1/3)
(pow.f64 (cbrt.f64 l) 1)
(pow.f64 (pow.f64 l 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 l)) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 l) 2))
(log.f64 (exp.f64 (cbrt.f64 l)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 l))))
(expm1.f64 (log1p.f64 (cbrt.f64 l)))
(exp.f64 (log.f64 (cbrt.f64 l)))
(exp.f64 (*.f64 (log.f64 l) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 l)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 l)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))) 1)
(.f64 (cbrt.f64 l) (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) l))))
(.f64 (cbrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (*.f64 (PI.f64) l)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) 1)
(.f64 1 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2))
(.f64 (sqrt.f64 (.f64 (PI.f64) l)) (pow.f64 (*.f64 (PI.f64) l) 1/6))
(.f64 (pow.f64 (.f64 (PI.f64) l) 1/6) (.f64 (pow.f64 (.f64 (PI.f64) l) 1/6) (cbrt.f64 (*.f64 (PI.f64) l))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) l))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) l))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (*.f64 (PI.f64) l))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2))
(*.f64 (pow.f64 (cbrt.f64 l) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(.f64 (.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) l))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)))
(exp.f64 (.f64 2 (log.f64 (cbrt.f64 (.f64 (PI.f64) l)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (*.f64 (PI.f64) l)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (PI.f64)))) 1)
(cbrt.f64 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) 1)
(cbrt.f64 (PI.f64))
(*.f64 1 (cbrt.f64 (PI.f64)))
(cbrt.f64 (PI.f64))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (PI.f64) 1/6))
(cbrt.f64 (PI.f64))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (PI.f64)))
(cbrt.f64 (PI.f64))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/3) (pow.f64 (sqrt.f64 (PI.f64)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(pow.f64 (PI.f64) 1/3)
(cbrt.f64 (PI.f64))
(pow.f64 (cbrt.f64 (PI.f64)) 1)
(cbrt.f64 (PI.f64))
(pow.f64 (pow.f64 (PI.f64) 1/6) 2)
(cbrt.f64 (PI.f64))
(pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 3)
(cbrt.f64 (PI.f64))
(sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))
(cbrt.f64 (PI.f64))
(log.f64 (exp.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (PI.f64)))))
(cbrt.f64 (PI.f64))
(expm1.f64 (log1p.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(exp.f64 (log.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/3))
(cbrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 1))
(cbrt.f64 (PI.f64))
(log1p.f64 (expm1.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 l))) 1)
(cbrt.f64 l)
(*.f64 (cbrt.f64 l) 1)
(cbrt.f64 l)
(*.f64 1 (cbrt.f64 l))
(cbrt.f64 l)
(*.f64 (pow.f64 l 1/6) (pow.f64 l 1/6))
(cbrt.f64 l)
(*.f64 (cbrt.f64 (cbrt.f64 l)) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2))
(cbrt.f64 l)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2) (cbrt.f64 (cbrt.f64 l)))
(cbrt.f64 l)
(*.f64 (pow.f64 1 1/3) (cbrt.f64 l))
(cbrt.f64 l)
(*.f64 (pow.f64 (sqrt.f64 l) 1/3) (pow.f64 (sqrt.f64 l) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 l)) (cbrt.f64 (sqrt.f64 l)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 l) 2) 1/3) (cbrt.f64 (cbrt.f64 l)))
(*.f64 (cbrt.f64 (cbrt.f64 l)) (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)))
(pow.f64 l 1/3)
(cbrt.f64 l)
(pow.f64 (cbrt.f64 l) 1)
(cbrt.f64 l)
(pow.f64 (pow.f64 l 1/6) 2)
(cbrt.f64 l)
(pow.f64 (cbrt.f64 (cbrt.f64 l)) 3)
(cbrt.f64 l)
(sqrt.f64 (pow.f64 (cbrt.f64 l) 2))
(cbrt.f64 l)
(log.f64 (exp.f64 (cbrt.f64 l)))
(cbrt.f64 l)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 l))))
(cbrt.f64 l)
(expm1.f64 (log1p.f64 (cbrt.f64 l)))
(cbrt.f64 l)
(exp.f64 (log.f64 (cbrt.f64 l)))
(cbrt.f64 l)
(exp.f64 (*.f64 (log.f64 l) 1/3))
(cbrt.f64 l)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 l)) 1))
(cbrt.f64 l)
(log1p.f64 (expm1.f64 (cbrt.f64 l)))
(cbrt.f64 l)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)
(.f64 (cbrt.f64 l) (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) l))))
(.f64 (.f64 (cbrt.f64 l) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) l)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 l) (cbrt.f64 (*.f64 (PI.f64) l))))
(.f64 (cbrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (*.f64 (PI.f64) l)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)
(.f64 1 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)
(.f64 (sqrt.f64 (.f64 (PI.f64) l)) (pow.f64 (*.f64 (PI.f64) l) 1/6))
(.f64 (pow.f64 (.f64 (PI.f64) l) 1/6) (.f64 (pow.f64 (.f64 (PI.f64) l) 1/6) (cbrt.f64 (*.f64 (PI.f64) l))))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) l))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) l))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (*.f64 (PI.f64) l))))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) l))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 4)))
(*.f64 (pow.f64 (cbrt.f64 l) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 l) 2))
(.f64 (.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (cbrt.f64 l) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) l)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 l) (cbrt.f64 (*.f64 (PI.f64) l))))
(.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) l))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 4))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)
(exp.f64 (.f64 2 (log.f64 (cbrt.f64 (.f64 (PI.f64) l)))))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (*.f64 (PI.f64) l)))) 1))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.2b	(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
✓	9.9b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series9.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	l	@	0	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
0.0ms	F	@	0	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
0.0ms	F	@	inf	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
0.0ms	F	@	0	(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
0.0ms	F	@	inf	(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1406×	`associate-*r/`
1388×	`associate-/r*`
1214×	`associate-/l*`
1018×	`*-commutative`
848×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	229	36
2	3229	36

Stop Event

1×	node limit

Counts

2 → 207

Calls

Call 1

Inputs
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (*.f64 (/.f64 F (PI.f64)) F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 (*.f64 F F) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 (neg.f64 (*.f64 F F)) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 F (/.f64 l (/.f64 F (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (neg.f64 (*.f64 F F)) (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 l) (/.f64 (*.f64 (/.f64 F (PI.f64)) F) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 l) (/.f64 (*.f64 F F) (*.f64 (PI.f64) (sqrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 l) (/.f64 (neg.f64 (*.f64 F F)) (*.f64 (PI.f64) (sqrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 l) (/.f64 (*.f64 (/.f64 F (PI.f64)) F) (cbrt.f64 (*.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 l l)) (/.f64 (*.f64 (/.f64 F (PI.f64)) F) (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 l l)) (/.f64 (*.f64 F F) (*.f64 (PI.f64) (cbrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 l l)) (/.f64 (neg.f64 (*.f64 F F)) (*.f64 (PI.f64) (cbrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (PI.f64)) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (PI.f64)) (/.f64 F (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (PI.f64)) (neg.f64 (neg.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) F) (/.f64 F l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 l (PI.f64))) (/.f64 (*.f64 F F) (sqrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 l (PI.f64))) (/.f64 (neg.f64 (*.f64 F F)) (sqrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 l (PI.f64))) (cbrt.f64 (*.f64 l (PI.f64)))) (/.f64 (*.f64 F F) (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 l (PI.f64))) (cbrt.f64 (*.f64 l (PI.f64)))) (/.f64 (neg.f64 (*.f64 F F)) (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (sqrt.f64 (PI.f64))) (/.f64 (*.f64 F F) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (*.f64 F F)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (*.f64 F F) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 F 4)) l)) (neg.f64 (cbrt.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 l) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 F F) (*.f64 (sqrt.f64 l) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 l) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (*.f64 F F)) (*.f64 (sqrt.f64 l) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 l F) (/.f64 F (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 l 1) (*.f64 (/.f64 F (PI.f64)) F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 l (cbrt.f64 (pow.f64 F 4))) (/.f64 (cbrt.f64 (*.f64 F F)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (/.f64 (PI.f64) (cbrt.f64 (*.f64 F F)))) (cbrt.f64 (pow.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (/.f64 (PI.f64) (cbrt.f64 (pow.f64 F 4)))) (cbrt.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F (sqrt.f64 F)))) (sqrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F (cbrt.f64 (*.f64 F F))))) (cbrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 l (/.f64 F (PI.f64)))) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (PI.f64) (/.f64 1 l))) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 F 4)) l))) (cbrt.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) (sqrt.f64 (*.f64 l (PI.f64)))) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) 2) (cbrt.f64 (*.f64 l (PI.f64)))) (cbrt.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 l (PI.f64)) -1) (neg.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 l (PI.f64)) (/.f64 1 F)) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 l (PI.f64)) (/.f64 1 (cbrt.f64 (pow.f64 F 4)))) (cbrt.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 (PI.f64)) F)) 1) (sqrt.f64 (*.f64 (/.f64 F (PI.f64)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 (PI.f64)) F)) (sqrt.f64 (PI.f64))) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 (PI.f64)) F)) (sqrt.f64 (PI.f64))) (sqrt.f64 (neg.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 (PI.f64)) F)) (sqrt.f64 (/.f64 (PI.f64) F))) (sqrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 l (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) 1) (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 l (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 l (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (cbrt.f64 (PI.f64))) (cbrt.f64 (neg.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 l (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (cbrt.f64 (/.f64 (PI.f64) F))) (cbrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l F) (PI.f64)) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l F) (PI.f64)) (neg.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l F) 1) (/.f64 F (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l F) (sqrt.f64 (PI.f64))) (/.f64 F (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l F) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 F (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l F) -1) (/.f64 F (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) (sqrt.f64 F))) (sqrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) (cbrt.f64 (*.f64 F F)))) (cbrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l 1) (PI.f64)) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l 1) (PI.f64)) (neg.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l 1) (PI.f64)) (neg.f64 (neg.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l 1) 1) (*.f64 (/.f64 F (PI.f64)) F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l 1) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 F F) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l 1) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (*.f64 F F) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l 1) (/.f64 (PI.f64) F)) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l 1) (/.f64 (PI.f64) F)) (neg.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l 1) -1) (*.f64 (/.f64 F (PI.f64)) F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l 1) -1) (neg.f64 (*.f64 (/.f64 F (PI.f64)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l 1) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 F 4)))) (cbrt.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l 1) (/.f64 (PI.f64) (*.f64 F (sqrt.f64 F)))) (sqrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l 1) (/.f64 (PI.f64) (*.f64 F (cbrt.f64 (*.f64 F F))))) (cbrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l (cbrt.f64 (pow.f64 F 4))) (PI.f64)) (cbrt.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 0 (pow.f64 (PI.f64) 2)) (*.f64 l (pow.f64 F -2))) (PI.f64))))) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 F F)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 F -2)) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 F -2)) (/.f64 (sqrt.f64 (PI.f64)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 F 4))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (*.f64 F F))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 F 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) F) (/.f64 (cbrt.f64 (PI.f64)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (PI.f64)) F) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) F))))) 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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 F -2))))))))

simplify106.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1368×	`associate-/l*`
914×	`distribute-rgt-in`
906×	`distribute-lft-in`
684×	`distribute-lft-neg-in`
636×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	469	6745
1	1256	6671
2	5480	6671

Stop Event

1×	node limit

Counts

243 → 274

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
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(.f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) (/.f64 (PI.f64) (cbrt.f64 (.f64 F F))))
(.f64 (/.f64 (PI.f64) (cbrt.f64 (.f64 F F))) (/.f64 1 (cbrt.f64 (pow.f64 F 4))))
(.f64 (/.f64 (PI.f64) (cbrt.f64 (.f64 F F))) (/.f64 -1 (cbrt.f64 (pow.f64 F 4))))
(.f64 (/.f64 -1 (.f64 F F)) (PI.f64))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 F -2)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 F -2)) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 F -2)) (/.f64 (sqrt.f64 (PI.f64)) 1))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 F 4))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (.f64 F F))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (.f64 F F))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 F 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) F) (/.f64 (cbrt.f64 (PI.f64)) F))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) F) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) F))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 F -2)))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (pow.f64 F -2)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (pow.f64 F -2)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 (/.f64 -1 F) (/.f64 (PI.f64) F))
(.f64 (/.f64 -1 (cbrt.f64 (pow.f64 F 4))) (/.f64 (PI.f64) (cbrt.f64 (.f64 F F))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 F F)) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 1 (/.f64 F (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) F))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 1 (/.f64 F (/.f64 -1 F))) (PI.f64))
(*.f64 (/.f64 -1 (/.f64 F (/.f64 1 F))) (PI.f64))
(.f64 (/.f64 -1 (/.f64 (.f64 F F) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 -1 (/.f64 F (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) F))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 -1 (/.f64 F (/.f64 -1 F))) (PI.f64))
(pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 F (PI.f64)) F) -1)
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 F -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (pow.f64 F -2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 F -2))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 F -2))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 F -2))))

Outputs
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))) 1)
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 l (*.f64 (/.f64 F (PI.f64)) F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (PI.f64) (/.f64 (*.f64 F F) l))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (PI.f64) (/.f64 (neg.f64 (*.f64 F F)) l))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(/.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))) 1)
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 1 (/.f64 F (/.f64 l (/.f64 F (PI.f64)))))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 1 (/.f64 (neg.f64 (.f64 F F)) (.f64 l (PI.f64))))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(/.f64 (sqrt.f64 l) (/.f64 (*.f64 (/.f64 F (PI.f64)) F) (sqrt.f64 l)))
(.f64 (/.f64 (sqrt.f64 l) (.f64 F F)) (*.f64 (PI.f64) (sqrt.f64 l)))
(/.f64 (.f64 (sqrt.f64 l) (sqrt.f64 l)) (/.f64 (.f64 F F) (PI.f64)))
(/.f64 (sqrt.f64 l) (/.f64 (.f64 F F) (.f64 (PI.f64) (sqrt.f64 l))))
(.f64 (/.f64 (sqrt.f64 l) (.f64 F F)) (*.f64 (PI.f64) (sqrt.f64 l)))
(/.f64 (.f64 (sqrt.f64 l) (sqrt.f64 l)) (/.f64 (.f64 F F) (PI.f64)))
(/.f64 (sqrt.f64 l) (/.f64 (neg.f64 (.f64 F F)) (.f64 (PI.f64) (sqrt.f64 l))))
(.f64 (/.f64 (sqrt.f64 l) (.f64 F (neg.f64 F))) (*.f64 (PI.f64) (sqrt.f64 l)))
(.f64 (/.f64 (sqrt.f64 l) (.f64 F (/.f64 (neg.f64 F) (PI.f64)))) (sqrt.f64 l))
(/.f64 (cbrt.f64 l) (/.f64 (.f64 (/.f64 F (PI.f64)) F) (cbrt.f64 (.f64 l l))))
(.f64 (/.f64 (cbrt.f64 l) (.f64 F (/.f64 F (PI.f64)))) (cbrt.f64 (*.f64 l l)))
(.f64 (cbrt.f64 (.f64 l l)) (.f64 (/.f64 (cbrt.f64 l) (.f64 F F)) (PI.f64)))
(/.f64 (cbrt.f64 (.f64 l l)) (/.f64 (.f64 (/.f64 F (PI.f64)) F) (cbrt.f64 l)))
(.f64 (/.f64 (cbrt.f64 (.f64 l l)) (*.f64 F (/.f64 F (PI.f64)))) (cbrt.f64 l))
(.f64 (cbrt.f64 l) (/.f64 (cbrt.f64 (.f64 l l)) (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (cbrt.f64 (.f64 l l)) (/.f64 (.f64 F F) (*.f64 (PI.f64) (cbrt.f64 l))))
(.f64 (/.f64 (cbrt.f64 (.f64 l l)) (*.f64 F (/.f64 F (PI.f64)))) (cbrt.f64 l))
(.f64 (cbrt.f64 l) (/.f64 (cbrt.f64 (.f64 l l)) (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (cbrt.f64 (.f64 l l)) (/.f64 (neg.f64 (.f64 F F)) (*.f64 (PI.f64) (cbrt.f64 l))))
(.f64 (/.f64 (cbrt.f64 (.f64 l l)) (.f64 F (neg.f64 F))) (.f64 (PI.f64) (cbrt.f64 l)))
(.f64 (.f64 (PI.f64) (cbrt.f64 l)) (/.f64 (cbrt.f64 (.f64 l l)) (.f64 F (neg.f64 F))))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 F F)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(/.f64 (*.f64 l (PI.f64)) (/.f64 F (/.f64 1 F)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (.f64 l (PI.f64)) (neg.f64 (neg.f64 (.f64 F F))))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (/.f64 (PI.f64) F) (/.f64 F l))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 (.f64 F F) (sqrt.f64 (*.f64 l (PI.f64)))))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 (neg.f64 (.f64 F F)) (sqrt.f64 (*.f64 l (PI.f64)))))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(/.f64 (.f64 (cbrt.f64 (.f64 l (PI.f64))) (cbrt.f64 (.f64 l (PI.f64)))) (/.f64 (.f64 F F) (cbrt.f64 (*.f64 l (PI.f64)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (.f64 l (PI.f64))) (cbrt.f64 (.f64 l (PI.f64)))) F) (/.f64 (cbrt.f64 (*.f64 l (PI.f64))) F))
(/.f64 (.f64 (cbrt.f64 (.f64 l (PI.f64))) (cbrt.f64 (.f64 l (PI.f64)))) (/.f64 (neg.f64 (.f64 F F)) (cbrt.f64 (*.f64 l (PI.f64)))))
(/.f64 (cbrt.f64 (.f64 l (PI.f64))) (/.f64 (/.f64 (.f64 F (neg.f64 F)) (cbrt.f64 (.f64 l (PI.f64)))) (cbrt.f64 (.f64 l (PI.f64)))))
(.f64 (cbrt.f64 (.f64 l (PI.f64))) (.f64 (/.f64 (cbrt.f64 (.f64 l (PI.f64))) F) (/.f64 (cbrt.f64 (*.f64 l (PI.f64))) (neg.f64 F))))
(/.f64 (.f64 l (sqrt.f64 (PI.f64))) (/.f64 (.f64 F F) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (.f64 l (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (.f64 F F)) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(/.f64 (.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (.f64 F F) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (neg.f64 (.f64 F F)) (cbrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(/.f64 (.f64 l -1) (.f64 (/.f64 F (PI.f64)) F))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(/.f64 (.f64 l -1) (neg.f64 (.f64 (/.f64 F (PI.f64)) F)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (pow.f64 F -2)) (/.f64 1 (PI.f64)))
(/.f64 l (/.f64 (/.f64 1 (PI.f64)) (pow.f64 F -2)))
(.f64 (PI.f64) (.f64 l (pow.f64 F -2)))
(/.f64 (.f64 l (/.f64 (sqrt.f64 (PI.f64)) F)) (sqrt.f64 (.f64 (/.f64 F (PI.f64)) F)))
(/.f64 l (/.f64 (sqrt.f64 (*.f64 F (/.f64 F (PI.f64)))) (/.f64 (sqrt.f64 (PI.f64)) F)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (/.f64 (*.f64 F F) (PI.f64))) (/.f64 l F)))
(/.f64 (/.f64 l (/.f64 F (PI.f64))) F)
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 F))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(/.f64 (/.f64 (PI.f64) (/.f64 1 l)) (*.f64 F F))
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(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 F -2)) (/.f64 (sqrt.f64 (PI.f64)) 1))
(*.f64 (PI.f64) (pow.f64 F -2))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 F 4))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (.f64 F F))))
(.f64 (/.f64 (PI.f64) (cbrt.f64 (.f64 F F))) (/.f64 1 (cbrt.f64 (pow.f64 F 4))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (*.f64 F F))) (cbrt.f64 (pow.f64 F 4)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (.f64 F F))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 F 4))))
(.f64 (/.f64 (PI.f64) (cbrt.f64 (.f64 F F))) (/.f64 1 (cbrt.f64 (pow.f64 F 4))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (*.f64 F F))) (cbrt.f64 (pow.f64 F 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) F) (/.f64 (cbrt.f64 (PI.f64)) F))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) F) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) F))
(*.f64 (PI.f64) (pow.f64 F -2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 F -2)))
(*.f64 (PI.f64) (pow.f64 F -2))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (pow.f64 F -2)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (PI.f64) (pow.f64 F -2))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (pow.f64 F -2)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1))
(*.f64 (PI.f64) (pow.f64 F -2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 F -2))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (pow.f64 F 4)))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (cbrt.f64 (pow.f64 F 4)) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2)))))
(*.f64 (/.f64 -1 F) (/.f64 (PI.f64) F))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(.f64 (/.f64 -1 (cbrt.f64 (pow.f64 F 4))) (/.f64 (PI.f64) (cbrt.f64 (.f64 F F))))
(.f64 (/.f64 (PI.f64) (cbrt.f64 (.f64 F F))) (/.f64 -1 (cbrt.f64 (pow.f64 F 4))))
(/.f64 (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (*.f64 F F)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 F F)) (cbrt.f64 (PI.f64)))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 (/.f64 1 (/.f64 F (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) F))) (cbrt.f64 (PI.f64)))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 (/.f64 1 (/.f64 F (/.f64 -1 F))) (PI.f64))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 (/.f64 -1 (/.f64 F (/.f64 1 F))) (PI.f64))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(.f64 (/.f64 -1 (/.f64 (.f64 F F) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 (/.f64 -1 (/.f64 F (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) F))) (cbrt.f64 (PI.f64)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 (/.f64 -1 (/.f64 F (/.f64 -1 F))) (PI.f64))
(*.f64 (PI.f64) (pow.f64 F -2))
(pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 1)
(*.f64 (PI.f64) (pow.f64 F -2))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 2)
(*.f64 (PI.f64) (pow.f64 F -2))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 3)
(*.f64 (PI.f64) (pow.f64 F -2))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3) 1/3)
(*.f64 (PI.f64) (pow.f64 F -2))
(pow.f64 (*.f64 (/.f64 F (PI.f64)) F) -1)
(*.f64 (PI.f64) (pow.f64 F -2))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 F -2)))
(*.f64 (PI.f64) (pow.f64 F -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (pow.f64 F -2)))))
(*.f64 (PI.f64) (pow.f64 F -2))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3))
(*.f64 (PI.f64) (pow.f64 F -2))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 (PI.f64) (pow.f64 F -2))
(exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 (PI.f64) (pow.f64 F -2))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 (PI.f64) (pow.f64 F -2))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) l)
	1.1b	(/.f64 1 (*.f64 F F))
✓	4.2b	(.f64 (.f64 (PI.f64) l) (-.f64 1 (/.f64 1 (*.f64 F F))))

Compiler

Compiled 35 to 17 computations (51.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(.f64 (.f64 (PI.f64) l) (-.f64 1 (/.f64 1 (*.f64 F F))))
0.0ms	F	@	0	(.f64 (.f64 (PI.f64) l) (-.f64 1 (/.f64 1 (*.f64 F F))))
0.0ms	F	@	inf	(.f64 (.f64 (PI.f64) l) (-.f64 1 (/.f64 1 (*.f64 F F))))
0.0ms	l	@	inf	(.f64 (.f64 (PI.f64) l) (-.f64 1 (/.f64 1 (*.f64 F F))))
0.0ms	l	@	-inf	(.f64 (.f64 (PI.f64) l) (-.f64 1 (/.f64 1 (*.f64 F F))))

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1262×	`associate-*r/`
958×	`associate-*l/`
760×	`swap-sqr`
468×	`associate-/r*`
464×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	250	27
2	3191	27

Stop Event

1×	node limit

Counts

1 → 65

Calls

Call 1

Inputs
(.f64 (.f64 (PI.f64) l) (-.f64 1 (/.f64 1 (*.f64 F F))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) l) (neg.f64 (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (neg.f64 (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) l) (*.f64 1 (*.f64 (*.f64 (PI.f64) l) (neg.f64 (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 l (neg.f64 (pow.f64 F -2))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (*.f64 (PI.f64) l) (neg.f64 (pow.f64 F -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) l) (neg.f64 (pow.f64 F -2))) (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 l (-.f64 1 (pow.f64 F -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) l))) (-.f64 1 (*.f64 (*.f64 (PI.f64) l) 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(*.f64 (*.f64 (PI.f64) l) (-.f64 1 (pow.f64 (*.f64 F F) -3))) 1) (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (-.f64 1 (pow.f64 (*.f64 F F) -3))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (-.f64 1 (pow.f64 (*.f64 F F) -3))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 F F) -2)) (*.f64 (PI.f64) l)) 1) (+.f64 1 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 F F) -2)) (*.f64 (PI.f64) l)) (sqrt.f64 (+.f64 1 (pow.f64 F -2)))) (sqrt.f64 (+.f64 1 (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 F F) -2)) (*.f64 (PI.f64) l)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 F -2))) (cbrt.f64 (+.f64 1 (pow.f64 F -2))))) (cbrt.f64 (+.f64 1 (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 F F) -3)) (*.f64 (PI.f64) l)) 1) (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 F F) -3)) (*.f64 (PI.f64) l)) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 F F) -3)) (*.f64 (PI.f64) l)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 l (-.f64 1 (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 l (-.f64 1 (pow.f64 F -2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 l (-.f64 1 (pow.f64 F -2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 l (-.f64 1 (pow.f64 F -2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 l (-.f64 1 (pow.f64 F -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 F -2))) (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 l (-.f64 1 (pow.f64 F -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 l (-.f64 1 (pow.f64 F -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (-.f64 1 (pow.f64 F -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 F -2)) 3) (pow.f64 (*.f64 (PI.f64) l) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 l (-.f64 1 (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 l (-.f64 1 (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 l (-.f64 1 (pow.f64 F -2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 l (-.f64 1 (pow.f64 F -2))))))))))

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1260×	`associate-/r*`
952×	`associate-*r/`
946×	`associate-/l/`
916×	`*-commutative`
884×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	4249
1	523	4217
2	2372	3945

Stop Event

1×	node limit

Counts

89 → 101

Calls

Call 1

Inputs
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (PI.f64) l) (neg.f64 (pow.f64 F -2))))
(+.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (*.f64 l (neg.f64 (pow.f64 F -2)))))
(+.f64 (.f64 (PI.f64) l) (.f64 1 (.f64 (.f64 (PI.f64) l) (neg.f64 (pow.f64 F -2)))))
(+.f64 (.f64 (PI.f64) l) (.f64 (*.f64 l (neg.f64 (pow.f64 F -2))) (PI.f64)))
(+.f64 (.f64 (PI.f64) l) (.f64 (.f64 (.f64 (PI.f64) l) (neg.f64 (pow.f64 F -2))) 1))
(+.f64 (.f64 (.f64 (PI.f64) l) (neg.f64 (pow.f64 F -2))) (*.f64 (PI.f64) l))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 l (-.f64 1 (pow.f64 F -2)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) (-.f64 1 (.f64 (*.f64 (PI.f64) l) (neg.f64 (pow.f64 F -2)))))
(/.f64 (*.f64 (PI.f64) l) (/.f64 1 (-.f64 1 (pow.f64 F -2))))
(/.f64 (-.f64 1 (pow.f64 (.f64 F F) -2)) (/.f64 (+.f64 1 (pow.f64 F -2)) (.f64 (PI.f64) l)))
(/.f64 (-.f64 1 (pow.f64 (.f64 F F) -3)) (/.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (.f64 F F) -2))) (*.f64 (PI.f64) l)))
(/.f64 (.f64 (.f64 (PI.f64) l) (-.f64 1 (pow.f64 (*.f64 F F) -2))) (+.f64 1 (pow.f64 F -2)))
(/.f64 (.f64 (.f64 (PI.f64) l) (-.f64 1 (pow.f64 (.f64 F F) -3))) (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (.f64 F F) -2))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 F F) -2)) (*.f64 (PI.f64) l)) (+.f64 1 (pow.f64 F -2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 F F) -3)) (.f64 (PI.f64) l)) (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (.f64 F F) -2))))
(/.f64 (.f64 (PI.f64) (.f64 l (-.f64 1 (pow.f64 (*.f64 F F) -2)))) (+.f64 1 (pow.f64 F -2)))
(/.f64 (.f64 (PI.f64) (.f64 l (-.f64 1 (pow.f64 (.f64 F F) -3)))) (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (.f64 F F) -2))))
(/.f64 (.f64 (.f64 (PI.f64) l) (+.f64 1 (pow.f64 (neg.f64 (pow.f64 F -2)) 3))) (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2))))
(/.f64 (.f64 (.f64 (PI.f64) l) (+.f64 -1 (pow.f64 (*.f64 F F) -2))) (+.f64 (neg.f64 (pow.f64 F -2)) -1))
(/.f64 (.f64 (.f64 (PI.f64) l) (neg.f64 (-.f64 1 (pow.f64 (.f64 F F) -3)))) (+.f64 -1 (neg.f64 (+.f64 (pow.f64 F -2) (pow.f64 (.f64 F F) -2)))))
(/.f64 (.f64 1 (.f64 (.f64 (PI.f64) l) (-.f64 1 (pow.f64 (.f64 F F) -2)))) (+.f64 1 (pow.f64 F -2)))
(/.f64 (.f64 1 (.f64 (.f64 (PI.f64) l) (-.f64 1 (pow.f64 (.f64 F F) -3)))) (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2))))
(/.f64 (.f64 1 (.f64 (-.f64 1 (pow.f64 (.f64 F F) -2)) (.f64 (PI.f64) l))) (+.f64 1 (pow.f64 F -2)))
(/.f64 (.f64 1 (.f64 (-.f64 1 (pow.f64 (.f64 F F) -3)) (.f64 (PI.f64) l))) (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2))))
(/.f64 (.f64 (.f64 (.f64 (PI.f64) l) (sqrt.f64 (-.f64 1 (pow.f64 F -2)))) (sqrt.f64 (-.f64 1 (pow.f64 (.f64 F F) -3)))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2)))))
(/.f64 (.f64 (.f64 (.f64 (PI.f64) l) (sqrt.f64 (-.f64 1 (pow.f64 F -2)))) (sqrt.f64 (-.f64 1 (pow.f64 (.f64 F F) -2)))) (sqrt.f64 (+.f64 1 (pow.f64 F -2))))
(/.f64 (.f64 (.f64 (.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 F -2))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (.f64 F F) -3)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2)))))
(/.f64 (.f64 (.f64 (.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 F -2))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (.f64 F F) -2)))) (cbrt.f64 (+.f64 1 (pow.f64 F -2))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 F -2)) 3)) (.f64 (PI.f64) l)) (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (.f64 F F) -2)) (*.f64 (PI.f64) l)) (+.f64 (neg.f64 (pow.f64 F -2)) -1))
(/.f64 (.f64 (neg.f64 (-.f64 1 (pow.f64 (.f64 F F) -3))) (.f64 (PI.f64) l)) (+.f64 -1 (neg.f64 (+.f64 (pow.f64 F -2) (pow.f64 (.f64 F F) -2)))))
(/.f64 (.f64 (.f64 (.f64 (PI.f64) l) (-.f64 1 (pow.f64 (.f64 F F) -2))) 1) (+.f64 1 (pow.f64 F -2)))
(/.f64 (.f64 (.f64 (.f64 (PI.f64) l) (-.f64 1 (pow.f64 (.f64 F F) -3))) 1) (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2))))
(/.f64 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 F F) -2)) (.f64 (PI.f64) l)) 1) (+.f64 1 (pow.f64 F -2)))
(/.f64 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 F F) -3)) (.f64 (PI.f64) l)) 1) (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (.f64 F F) -3))) (.f64 (sqrt.f64 (-.f64 1 (pow.f64 F -2))) (.f64 (PI.f64) l))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (.f64 F F) -2))) (.f64 (sqrt.f64 (-.f64 1 (pow.f64 F -2))) (.f64 (PI.f64) l))) (sqrt.f64 (+.f64 1 (pow.f64 F -2))))
(/.f64 (.f64 (.f64 l (-.f64 1 (pow.f64 (*.f64 F F) -2))) (PI.f64)) (+.f64 1 (pow.f64 F -2)))
(/.f64 (.f64 (.f64 l (-.f64 1 (pow.f64 (.f64 F F) -3))) (PI.f64)) (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (.f64 F F) -2))))
(/.f64 (/.f64 (.f64 (.f64 (PI.f64) l) (-.f64 1 (pow.f64 (*.f64 F F) -2))) 1) (+.f64 1 (pow.f64 F -2)))
(/.f64 (/.f64 (.f64 (.f64 (PI.f64) l) (-.f64 1 (pow.f64 (*.f64 F F) -2))) (sqrt.f64 (+.f64 1 (pow.f64 F -2)))) (sqrt.f64 (+.f64 1 (pow.f64 F -2))))
(/.f64 (/.f64 (.f64 (.f64 (PI.f64) l) (-.f64 1 (pow.f64 (.f64 F F) -2))) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 F -2))) (cbrt.f64 (+.f64 1 (pow.f64 F -2))))) (cbrt.f64 (+.f64 1 (pow.f64 F -2))))
(/.f64 (/.f64 (.f64 (.f64 (PI.f64) l) (-.f64 1 (pow.f64 (.f64 F F) -3))) 1) (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (.f64 F F) -2))))
(/.f64 (/.f64 (.f64 (.f64 (PI.f64) l) (-.f64 1 (pow.f64 (.f64 F F) -3))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (.f64 F F) -2))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2)))))
(/.f64 (/.f64 (.f64 (.f64 (PI.f64) l) (-.f64 1 (pow.f64 (.f64 F F) -3))) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (.f64 F F) -2)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (.f64 F F) -2)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 F F) -2)) (*.f64 (PI.f64) l)) 1) (+.f64 1 (pow.f64 F -2)))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 F F) -2)) (*.f64 (PI.f64) l)) (sqrt.f64 (+.f64 1 (pow.f64 F -2)))) (sqrt.f64 (+.f64 1 (pow.f64 F -2))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 F F) -2)) (.f64 (PI.f64) l)) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 F -2))) (cbrt.f64 (+.f64 1 (pow.f64 F -2))))) (cbrt.f64 (+.f64 1 (pow.f64 F -2))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 F F) -3)) (.f64 (PI.f64) l)) 1) (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (.f64 F F) -2))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 F F) -3)) (.f64 (PI.f64) l)) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (.f64 F F) -2))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 F F) -3)) (.f64 (PI.f64) l)) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (.f64 F F) -2)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (.f64 F F) -2)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 (*.f64 F F) -2)))))
(pow.f64 (.f64 (PI.f64) (.f64 l (-.f64 1 (pow.f64 F -2)))) 1)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 l (-.f64 1 (pow.f64 F -2))))) 2)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 l (-.f64 1 (pow.f64 F -2))))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 l (-.f64 1 (pow.f64 F -2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 l (-.f64 1 (pow.f64 F -2)))) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 F -2))) (*.f64 (PI.f64) l)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 l (-.f64 1 (pow.f64 F -2)))))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 l (-.f64 1 (pow.f64 F -2)))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (-.f64 1 (pow.f64 F -2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 F -2)) 3) (pow.f64 (.f64 (PI.f64) l) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 l (-.f64 1 (pow.f64 F -2))))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 l (-.f64 1 (pow.f64 F -2))))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 l (-.f64 1 (pow.f64 F -2))))) 1))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 l (-.f64 1 (pow.f64 F -2))))))

Outputs
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (*.f64 l (PI.f64)))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (*.f64 l (PI.f64)))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (*.f64 l (PI.f64)))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (*.f64 l (PI.f64)))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (*.f64 l (PI.f64)))
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(.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (*.f64 l (PI.f64)))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 F -2))) (*.f64 (PI.f64) l)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (*.f64 l (PI.f64)))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 l (-.f64 1 (pow.f64 F -2)))))))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (*.f64 l (PI.f64)))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 l (-.f64 1 (pow.f64 F -2)))) 3))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (*.f64 l (PI.f64)))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (-.f64 1 (pow.f64 F -2)) 3)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (*.f64 l (PI.f64)))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(cbrt.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 F -2)) 3) (pow.f64 (.f64 (PI.f64) l) 3)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (*.f64 l (PI.f64)))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 l (-.f64 1 (pow.f64 F -2))))))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (*.f64 l (PI.f64)))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 l (-.f64 1 (pow.f64 F -2))))))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (*.f64 l (PI.f64)))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 l (-.f64 1 (pow.f64 F -2))))) 1))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (*.f64 l (PI.f64)))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 l (-.f64 1 (pow.f64 F -2))))))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (*.f64 l (PI.f64)))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (PI.f64) (sqrt.f64 l))
✓	0.1b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	l	@	-inf	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
0.0ms	l	@	0	(*.f64 (PI.f64) (sqrt.f64 l))
0.0ms	l	@	-inf	(*.f64 (PI.f64) (sqrt.f64 l))
0.0ms	l	@	inf	(*.f64 (PI.f64) (sqrt.f64 l))
0.0ms	l	@	0	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`add-sqr-sqrt`
1614×	`*-un-lft-identity`
1488×	`add-cube-cbrt`
1462×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	175	22
2	2080	22

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(*.f64 (PI.f64) (sqrt.f64 l))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (sqrt.f64 l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 l)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 l (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 l)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 l))))))))

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1446×	`associate-r`
1276×	`associate-l`
740×	`associate-+r+`
624×	`associate-+l+`
570×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	400
1	159	400
2	659	400
3	4533	398

Stop Event

1×	node limit

Counts

38 → 30

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) l))) 1)
(pow.f64 (*.f64 (PI.f64) l) 1)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) l))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) l))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))
(exp.f64 (log.f64 (*.f64 (PI.f64) l)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) l)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 l)))) 1)
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 l)) 1)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 l))) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 l))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 l)) 3) 1/3)
(sqrt.f64 (*.f64 l (pow.f64 (PI.f64) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 l)) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 l)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 l)) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 l))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 l))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 l))) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 l))))

Outputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) l))) 1)
(*.f64 l (PI.f64))
(pow.f64 (*.f64 (PI.f64) l) 1)
(*.f64 l (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(*.f64 l (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
(*.f64 l (PI.f64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)
(*.f64 l (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))
(*.f64 l (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) l))
(*.f64 l (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) l))))
(*.f64 l (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
(*.f64 l (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))
(*.f64 l (PI.f64))
(exp.f64 (log.f64 (*.f64 (PI.f64) l)))
(*.f64 l (PI.f64))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) l)) 1))
(*.f64 l (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))
(*.f64 l (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 l)))) 1)
(*.f64 (PI.f64) (sqrt.f64 l))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 l)) 1)
(*.f64 (PI.f64) (sqrt.f64 l))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 l))) 2)
(*.f64 (PI.f64) (sqrt.f64 l))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 l))) 3)
(*.f64 (PI.f64) (sqrt.f64 l))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 l)) 3) 1/3)
(*.f64 (PI.f64) (sqrt.f64 l))
(sqrt.f64 (*.f64 l (pow.f64 (PI.f64) 2)))
(fabs.f64 (*.f64 (PI.f64) (sqrt.f64 l)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 l)) (PI.f64)))
(*.f64 (PI.f64) (sqrt.f64 l))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 l)))))
(*.f64 (PI.f64) (sqrt.f64 l))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 l)) 3))
(*.f64 (PI.f64) (sqrt.f64 l))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 l))))
(*.f64 (PI.f64) (sqrt.f64 l))
(exp.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 l))))
(*.f64 (PI.f64) (sqrt.f64 l))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 l))) 1))
(*.f64 (PI.f64) (sqrt.f64 l))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 l))))
(*.f64 (PI.f64) (sqrt.f64 l))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	0.2b	(*.f64 (PI.f64) l)
✓	4.3b	(.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))
	34.5b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 41 to 20 computations (51.2% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))
1.0ms	l	@	0	(fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
0.0ms	l	@	-inf	(.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))
0.0ms	l	@	inf	(.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))
0.0ms	F	@	0	(.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`unswap-sqr`
818×	`swap-sqr`
522×	`sqr-pow`
362×	`distribute-rgt-in`
342×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	306	60
2	3698	60

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

Inputs
(.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))
(fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 0) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) 0) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 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(PI.f64) l)) (pow.f64 F -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))))

simplify103.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1482×	`associate-*r/`
1144×	`associate-*l/`
1002×	`associate-/r/`
732×	`associate-+l+`
704×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	7922
1	859	7660
2	3673	7638

Stop Event

1×	node limit

Counts

148 → 177

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))))) (.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))))) (+.f64 (.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2))) (.f64 -1 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))))) (+.f64 (.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2))) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7))) (.f64 -1 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5))))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64)) l)
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64)) l) (.f64 -1 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))))))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64)) l) (+.f64 (.f64 -1 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))))) (.f64 -1 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)))))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64)) l) (+.f64 (.f64 -1 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))))) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7))) (.f64 -1 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5))))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 0 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) 1)
(+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 0) (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))
(+.f64 (.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) 0) (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))
(+.f64 (.f64 0 (tan.f64 (.f64 (PI.f64) l))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))
(+.f64 (.f64 0 (neg.f64 (tan.f64 (.f64 (PI.f64) l)))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))
(-.f64 0 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)
(/.f64 (pow.f64 F -2) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))
(/.f64 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (+.f64 (pow.f64 F -4) 0)) (pow.f64 F -2))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (+.f64 0 (pow.f64 (pow.f64 F -2) 3))) (+.f64 (pow.f64 F -4) 0))
(/.f64 (.f64 (pow.f64 F -2) (neg.f64 (sin.f64 (.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 1 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l)))) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (.f64 1 (.f64 (sin.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (.f64 -1 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l)))) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (.f64 -1 (.f64 (sin.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 1) F)
(/.f64 (.f64 (.f64 (pow.f64 F -2) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (.f64 (pow.f64 F -2) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2)) (cbrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (+.f64 (pow.f64 F -4) 0)) (pow.f64 F -2))
(/.f64 (.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (+.f64 0 (pow.f64 (pow.f64 F -2) 3))) (+.f64 (pow.f64 F -4) 0))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (pow.f64 F -2)) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (+.f64 (pow.f64 F -4) 0) (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2))
(/.f64 (.f64 (+.f64 0 (pow.f64 (pow.f64 F -2) 3)) (tan.f64 (.f64 (PI.f64) l))) (+.f64 (pow.f64 F -4) 0))
(/.f64 (.f64 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l))) 1) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (.f64 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) F)
(/.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 (PI.f64) l))) (.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l))) 1) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (/.f64 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l))) (.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) l))))
(pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 3)
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)
(neg.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))
(sqrt.f64 (.f64 (pow.f64 F -4) (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3) (pow.f64 (pow.f64 F -2) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 F -2) 3) (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3)))
(expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(exp.f64 (log.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(exp.f64 (.f64 (log.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1))
(log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(+.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))
(+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (*.f64 (PI.f64) l))
(+.f64 (-.f64 (.f64 (PI.f64) l) 0) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))
(+.f64 (-.f64 (.f64 (PI.f64) l) (exp.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) 1)
(-.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))
(-.f64 0 (-.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (*.f64 (PI.f64) l)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (-.f64 1 (*.f64 (PI.f64) l)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) (+.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) 1)
(-.f64 (+.f64 (.f64 (PI.f64) l) 0) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))
(-.f64 (+.f64 (.f64 (PI.f64) l) (exp.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) 1)
(-.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (exp.f64 (log1p.f64 (*.f64 (PI.f64) l)))) 1)
(.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1)
(.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 2) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2) (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2)) (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2) (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3) (pow.f64 (.f64 (PI.f64) l) 3))) (-.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2) (.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))) (.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) l)) (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)) (-.f64 (sqrt.f64 (.f64 (PI.f64) l)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 3/2))
(.f64 (pow.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3) 1/6))
(/.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 1)
(/.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2) (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(/.f64 (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3) (pow.f64 (.f64 (PI.f64) l) 3)) (-.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2) (.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3) (pow.f64 (.f64 (PI.f64) l) 3)) 1) (-.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2) (.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2) 1) (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2) (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 2))
(/.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 2)) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))

Outputs
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(+.f64 (.f64 -1 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))))) (.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 -1 (.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3)) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))))
(neg.f64 (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F)) (.f64 (/.f64 (pow.f64 (.f64 l (PI.f64)) 3) (.f64 F F)) 1/3))
(+.f64 (.f64 -1 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))))) (+.f64 (.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2))) (.f64 -1 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)))))
(fma.f64 -1 (.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3)) (.f64 -1 (+.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64))) (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (/.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))) (*.f64 F F)))) (pow.f64 l 5)))))
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(.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2) (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2)) (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))
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(/.f64 (.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))) 2) (-.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))) 2) (.f64 (.f64 (.f64 l (PI.f64)) (tan.f64 (.f64 l (PI.f64)))) (pow.f64 F -2)))) (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)) 3) (pow.f64 (.f64 l (PI.f64)) 3)))
(/.f64 (.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))) 2) (-.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))) 2) (.f64 (PI.f64) (.f64 (.f64 l (pow.f64 F -2)) (tan.f64 (.f64 l (PI.f64))))))) (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)) 3) (pow.f64 (.f64 l (PI.f64)) 3)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))
(fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))))) (cbrt.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))))) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))))) (cbrt.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 2))))
(fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))))) (cbrt.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))))) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))))) (cbrt.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))))))
(.f64 (.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))) (.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))
(fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))))) (cbrt.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))))) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))))) (cbrt.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) l)) (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)) (-.f64 (sqrt.f64 (.f64 (PI.f64) l)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))
(.f64 (+.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))) F) (sqrt.f64 (.f64 l (PI.f64)))) (-.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 l (PI.f64)))) F)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 3/2))
(fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3) 1/6))
(fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))
(/.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 1)
(fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))
(/.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2) (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(/.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))) 2) (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))))
(/.f64 (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3) (pow.f64 (.f64 (PI.f64) l) 3)) (-.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2) (.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(/.f64 (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)) 3) (pow.f64 (.f64 l (PI.f64)) 3)) (-.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))) 2) (.f64 (.f64 (.f64 l (PI.f64)) (tan.f64 (*.f64 l (PI.f64)))) (pow.f64 F -2))))
(/.f64 (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)) 3) (pow.f64 (.f64 l (PI.f64)) 3)) (-.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))) 2) (.f64 (PI.f64) (.f64 (.f64 l (pow.f64 F -2)) (tan.f64 (*.f64 l (PI.f64)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3) (pow.f64 (.f64 (PI.f64) l) 3)) 1) (-.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2) (.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(/.f64 (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)) 3) (pow.f64 (.f64 l (PI.f64)) 3)) (-.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))) 2) (.f64 (.f64 (.f64 l (PI.f64)) (tan.f64 (*.f64 l (PI.f64)))) (pow.f64 F -2))))
(/.f64 (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)) 3) (pow.f64 (.f64 l (PI.f64)) 3)) (-.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))) 2) (.f64 (PI.f64) (.f64 (.f64 l (pow.f64 F -2)) (tan.f64 (*.f64 l (PI.f64)))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2) 1) (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(/.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))) 2) (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2) (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(/.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))) 2) (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 2))
(/.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))) 2) (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 2)) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(/.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))) 2) (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))))
(pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 1)
(fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 2)
(fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 3)
(fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))
(pow.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 3) 1/3)
(fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))) 2))
(fabs.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))))
(fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 3))
(fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))
(exp.f64 (log.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))
(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1))
(fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2) (.f64 l (PI.f64)))

eval230.0ms (1.9%)

Compiler: Compiled 15336 to 7567 computations (50.7% saved)

prune239.0ms (2%)

Pruning

37 alts after pruning (27 fresh and 10 done)

	Pruned	Kept	Total
New	813	12	825
Fresh	7	15	22
Picked	0	1	1
Done	1	9	10
Total	821	37	858

Error

0.2b

Counts

858 → 37

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.3b	(fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	12.1b	(pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 3)
	39.7b	(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
✓	11.9b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	38.8b	(/.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) 2) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))))
	52.8b	(/.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 F))
	62.1b	(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
	27.4b	(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))
	56.9b	(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
	17.4b	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
✓	24.5b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	28.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F))) 3) 1/3) (pow.f64 (cbrt.f64 F) 2)))
✓	17.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3) (*.f64 F F)))
	12.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	18.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 F) 2)) (.f64 (/.f64 F l) (cbrt.f64 F))))
	22.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (log.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	18.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 (/.f64 F (PI.f64)) (/.f64 F l))))
	24.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) 1/3) (/.f64 1 F)))
✓	13.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) F) (/.f64 1 F)))
	18.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (/.f64 l F) (PI.f64)) (/.f64 1 F)))
	39.7b	(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 l))) 2) (sqrt.f64 l))
	12.0b	(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
✓	11.8b	(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))
	12.2b	(.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) l))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))
	11.9b	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 l)) (cbrt.f64 (PI.f64))) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))
	37.0b	(.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2)) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))
✓	39.7b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
✓	23.0b	(.f64 (.f64 (PI.f64) l) (-.f64 1 (/.f64 1 (*.f64 F F))))
	50.3b	(.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (-.f64 1 (/.f64 1 (*.f64 F F))))
	22.6b	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
✓	57.3b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
	27.7b	(.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))) 3)))
✓	11.0b	(*.f64 l (PI.f64))
	52.8b	(neg.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
	52.8b	(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
	33.0b	(expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))
	47.5b	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))

Compiler

Compiled 510 to 356 computations (30.2% saved)

regimes589.0ms (4.9%)

Counts

73 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(neg.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l)))
(/.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 F))
(.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))
(.f64 (.f64 (PI.f64) l) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 l (.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (/.f64 l F) (PI.f64)) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (/.f64 F (PI.f64))) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 (/.f64 F (PI.f64)) (/.f64 F l))))
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) 2) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))))
(pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 3)
(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 l))) 2) (sqrt.f64 l))
(.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))) 3)))
(fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (log.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3) (*.f64 F F)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) F) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 F) 2)) (.f64 (/.f64 F l) (cbrt.f64 F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) 1/3) (/.f64 1 F)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2)) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))
(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (pow.f64 (cbrt.f64 F) 2))) (cbrt.f64 (/.f64 1 F))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (fma.f64 (fma.f64 l (PI.f64) -1) (+.f64 (*.f64 l (PI.f64)) -2) 1))
(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 l)) (cbrt.f64 (PI.f64))) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))
(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))
(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F (cbrt.f64 F))) 3) 1/3) (pow.f64 (cbrt.f64 F) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (cbrt.f64 (.f64 (PI.f64) l)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(.f64 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))
(.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) l))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2)) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 l (PI.f64)) 2) (/.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2) (pow.f64 F 4)))) (/.f64 (/.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))) (cbrt.f64 (-.f64 (pow.f64 (.f64 l (PI.f64)) 2) (/.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2) (pow.f64 F 4))))) (cbrt.f64 (-.f64 (pow.f64 (.f64 l (PI.f64)) 2) (/.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2) (pow.f64 F 4))))))

Outputs
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
(*.f64 l (PI.f64))

Calls

6 calls:

151.0ms	F
134.0ms	(*.f64 (PI.f64) l)
112.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
105.0ms	l
34.0ms	(*.f64 F F)

Results

Error	Segments	Branch
7.8b	2	`F`
0.4b	3	`l`
5.7b	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0.4b	3	`(*.f64 (PI.f64) l)`
7.1b	2	`(/.f64 1 (*.f64 F F))`
7.1b	2	`(*.f64 F F)`

Compiler

Compiled 1098 to 460 computations (58.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	27.65201893105122	48708783.576425016
0.0ms	-2.851640953671728e+33	-1.9325880883769725e+26

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes326.0ms (2.7%)

Counts

36 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(neg.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l)))
(/.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 F))
(.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))
(.f64 (.f64 (PI.f64) l) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 l (.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (/.f64 l F) (PI.f64)) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (/.f64 F (PI.f64))) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 (/.f64 F (PI.f64)) (/.f64 F l))))
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))

Outputs
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(*.f64 l (PI.f64))

Calls

6 calls:

83.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
68.0ms	(*.f64 (PI.f64) l)
62.0ms	(*.f64 F F)
52.0ms	l
38.0ms	F

Results

Error	Segments	Branch
7.8b	2	`F`
0.4b	3	`l`
5.7b	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0.4b	3	`(*.f64 (PI.f64) l)`
7.1b	2	`(/.f64 1 (*.f64 F F))`
7.1b	2	`(*.f64 F F)`

Compiler

Compiled 367 to 144 computations (60.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	27.65201893105122	48708783.576425016
0.0ms	-2.851640953671728e+33	-1.9325880883769725e+26

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes153.0ms (1.3%)

Counts

33 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(neg.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l)))
(/.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 F))
(.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))
(.f64 (.f64 (PI.f64) l) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 l (.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (/.f64 l F) (PI.f64)) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (/.f64 F (PI.f64))) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 (/.f64 F (PI.f64)) (/.f64 F l))))
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

Outputs
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 l (PI.f64))

Calls

5 calls:

43.0ms	l
42.0ms	(*.f64 (PI.f64) l)
28.0ms	F
18.0ms	(*.f64 F F)
15.0ms	(/.f64 1 (*.f64 F F))

Results

Error	Segments	Branch
7.8b	2	`F`
0.8b	3	`l`
0.8b	3	`(*.f64 (PI.f64) l)`
7.1b	2	`(/.f64 1 (*.f64 F F))`
7.1b	2	`(*.f64 F F)`

Compiler

Compiled 311 to 123 computations (60.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.982345298134441e-5	27.65201893105122
0.0ms	-1377748646763211.8	-0.033134999382982165

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes176.0ms (1.5%)

Counts

17 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(neg.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l)))
(/.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 F))
(.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))
(.f64 (.f64 (PI.f64) l) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 l (.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (*.f64 F F)) (PI.f64)))

Outputs
(*.f64 l (PI.f64))
(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))
(*.f64 l (PI.f64))

Calls

5 calls:

82.0ms	F
35.0ms	(*.f64 (PI.f64) l)
25.0ms	l
16.0ms	(*.f64 F F)
14.0ms	(/.f64 1 (*.f64 F F))

Results

Error	Segments	Branch
9.0b	3	`F`
0.8b	3	`l`
0.8b	3	`(*.f64 (PI.f64) l)`
9.4b	3	`(/.f64 1 (*.f64 F F))`
9.4b	3	`(*.f64 F F)`

Compiler

Compiled 167 to 74 computations (55.7% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.982345298134441e-5	27.65201893105122
0.0ms	-1377748646763211.8	-0.033134999382982165

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes59.0ms (0.5%)

Counts

11 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(neg.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l)))
(/.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 F))
(.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))

Outputs
(*.f64 l (PI.f64))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 l (PI.f64))

Calls

3 calls:

25.0ms	F
18.0ms	l
13.0ms	(*.f64 F F)

Results

Error	Segments	Branch
9.0b	3	`F`
4.9b	3	`l`
9.4b	3	`(*.f64 F F)`

Compiler

Compiled 96 to 40 computations (58.3% saved)

bsearch58.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	2.5408594233288906e-5	8.80191099869494
31.0ms	-438551014941069.56	-0.010547197882297028

Results

43.0ms	304×	body	256	valid
12.0ms	89×	body	256	infinite

Compiler

Compiled 363 to 261 computations (28.1% saved)

regimes85.0ms (0.7%)

Counts

10 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(neg.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l)))
(/.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 F))
(.f64 (PI.f64) (+.f64 (/.f64 l (.f64 F F)) l))

Outputs
(*.f64 l (PI.f64))
(neg.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(*.f64 l (PI.f64))

Calls

3 calls:

33.0ms	(*.f64 F F)
27.0ms	F
23.0ms	l

Results

Error	Segments	Branch
9.0b	3	`F`
8.4b	3	`l`
9.4b	3	`(*.f64 F F)`

Compiler

Compiled 87 to 38 computations (56.3% saved)

bsearch45.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.961792877495743e-214	1.241479504260849e-206
21.0ms	-6.078520586742318e-181	-6.46661906177556e-185

Results

39.0ms	272×	body	256	valid
2.0ms	21×	body	256	infinite

Compiler

Compiled 310 to 235 computations (24.2% saved)

regimes28.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))

Outputs
(*.f64 l (PI.f64))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(*.f64 l (PI.f64))

Calls

2 calls:

14.0ms	F
13.0ms	l

Results

Error	Segments	Branch
9.1b	3	`F`
8.4b	3	`l`

Compiler

Compiled 33 to 18 computations (45.5% saved)

bsearch43.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.961792877495743e-214	1.241479504260849e-206
22.0ms	-6.078520586742318e-181	-6.46661906177556e-185

Results

37.0ms	272×	body	256	valid
1.0ms	12×	body	256	infinite

Compiler

Compiled 310 to 235 computations (24.2% saved)

regimes8.0ms (0.1%)

Accuracy

Total -51.1b remaining (-465.5%)

Threshold costs -51.1b (-465.5%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))

Outputs
(*.f64 l (PI.f64))

Calls

2 calls:

4.0ms	F
3.0ms	l

Results

Error	Segments	Branch
11.0b	1	`F`
11.0b	1	`l`

Compiler

Compiled 25 to 15 computations (40% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative`
40×	`+-commutative`
32×	`sub-neg`
26×	`neg-mul-1`
26×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	540
1	127	540
2	166	540
3	190	540
4	205	540
5	210	540
6	211	540

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) -1999999999999999891150461974085632) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 50) (-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))) (.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) -1999999999999999891150461974085632) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 50) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) -1000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7378697629483821/73786976294838206464) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) -1000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7378697629483821/73786976294838206464) (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F)))) (.f64 l (PI.f64))))
(if (<=.f64 l -550000000) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) (.f64 l (PI.f64))))
(if (<=.f64 l -5531576003855031/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (.f64 l (PI.f64)) (if (<=.f64 l 962387809749089/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832) (neg.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (.f64 l (PI.f64))))
(if (<=.f64 l -6458488739636145/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) (.f64 l (PI.f64)) (if (<=.f64 l 5336780942283687/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904) (neg.f64 (.f64 (/.f64 l F) (/.f64 (PI.f64) F))) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))

Outputs
(if (<=.f64 (.f64 (PI.f64) l) -1999999999999999891150461974085632) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 50) (-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))) (.f64 l (PI.f64))))
(if (or (<=.f64 (.f64 (PI.f64) l) -1999999999999999891150461974085632) (not (<=.f64 (.f64 (PI.f64) l) 50))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
(if (or (<=.f64 (.f64 (PI.f64) l) -1999999999999999891150461974085632) (not (<=.f64 (.f64 (PI.f64) l) 50))) (.f64 (PI.f64) l) (+.f64 (.f64 (PI.f64) l) (/.f64 -1 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))
(if (<=.f64 (.f64 (PI.f64) l) -1999999999999999891150461974085632) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 50) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (.f64 l (PI.f64))))
(if (or (<=.f64 (.f64 (PI.f64) l) -1999999999999999891150461974085632) (not (<=.f64 (.f64 (PI.f64) l) 50))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)))
(if (<=.f64 (.f64 (PI.f64) l) -1000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7378697629483821/73786976294838206464) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (or (<=.f64 (.f64 (PI.f64) l) -1000000000000000) (not (<=.f64 (.f64 (PI.f64) l) 7378697629483821/73786976294838206464))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(if (<=.f64 (.f64 (PI.f64) l) -1000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7378697629483821/73786976294838206464) (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F)))) (.f64 l (PI.f64))))
(if (or (<=.f64 (.f64 (PI.f64) l) -1000000000000000) (not (<=.f64 (.f64 (PI.f64) l) 7378697629483821/73786976294838206464))) (.f64 (PI.f64) l) (.f64 (PI.f64) (-.f64 l (*.f64 (/.f64 l F) (/.f64 1 F)))))
(if (or (<=.f64 (.f64 (PI.f64) l) -1000000000000000) (not (<=.f64 (.f64 (PI.f64) l) 7378697629483821/73786976294838206464))) (.f64 (PI.f64) l) (.f64 (PI.f64) (+.f64 l (*.f64 (/.f64 l F) (/.f64 -1 F)))))
(if (<=.f64 l -550000000) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -550000000) (not (<=.f64 l 1/2))) (.f64 (PI.f64) l) (.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(if (<=.f64 l -5531576003855031/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (.f64 l (PI.f64)) (if (<=.f64 l 962387809749089/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832) (neg.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -5531576003855031/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (not (<=.f64 l 962387809749089/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832))) (*.f64 (PI.f64) l) (neg.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))))
(if (or (<=.f64 l -5531576003855031/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (not (<=.f64 l 962387809749089/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832))) (*.f64 (PI.f64) l) (/.f64 (/.f64 (neg.f64 l) F) (/.f64 F (PI.f64))))
(if (<=.f64 l -6458488739636145/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) (.f64 l (PI.f64)) (if (<=.f64 l 5336780942283687/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904) (neg.f64 (.f64 (/.f64 l F) (/.f64 (PI.f64) F))) (*.f64 l (PI.f64))))
(if (or (<=.f64 l -6458488739636145/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) (not (<=.f64 l 5336780942283687/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904))) (.f64 (PI.f64) l) (.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F))))
(if (or (<=.f64 l -6458488739636145/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) (not (<=.f64 l 5336780942283687/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904))) (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F)))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

Compiler

Compiled 192 to 113 computations (41.1% saved)

soundness69.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

278×	`fma-def`
236×	`associate-r`
136×	`*-commutative`
132×	`+-commutative`
124×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	29	39
2	61	39
3	147	39
4	307	39
5	450	39
6	617	39
7	774	39
8	1068	39
9	1397	39
10	1466	39

Stop Event

1×

saturated

Compiler

Compiled 42 to 16 computations (61.9% saved)

end72.0ms (0.6%)

Compiler: Compiled 178 to 79 computations (55.6% saved)