Details

analyze315.0ms (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 (23.3%)

Results

1.2s	1088×	body	2048	valid
721.0ms	1885×	body	1024	valid
583.0ms	4491×	body	256	valid
206.0ms	62×	body	4096	valid
182.0ms	730×	body	512	valid
41.0ms	296×	body	256	infinite
4.0ms	6×	body	8192	exit
3.0ms	6×	body	2048	infinite

Bogosity

preprocess207.0ms (1.7%)

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)

simplify37.0ms (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

16.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	17.1b	(-.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
✓	0.3b	(*.f64 (PI.f64) l)
✓	0.3b	(/.f64 1 (*.f64 F F))
✓	2.8b	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	30.1b	(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)))

rewrite92.0ms (0.7%)

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)))))))

simplify161.0ms (1.3%)

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)))
	0.3b	(*.f64 (PI.f64) l)
✓	2.5b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	30.1b	(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	l	@	-inf	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

rewrite104.0ms (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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simplify206.0ms (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)))
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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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eval293.0ms (2.3%)

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

prune193.0ms (1.5%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	655	26	681
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	656	27	683

Error

0.3b

Counts

683 → 27

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.7b	(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))))
	17.0b	(fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	37.9b	(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2)
	44.0b	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (.f64 l (PI.f64)))) 2) (/.f64 (cbrt.f64 (fma.f64 l (PI.f64) (.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))))))
	51.9b	(/.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)))))
	46.5b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (+.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))))))
	55.2b	(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3) (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) F))) (.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) (+.f64 (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)) (pow.f64 (.f64 (PI.f64) l) 2))))
	44.0b	(/.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)))))
	17.1b	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
	37.2b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	17.2b	(-.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) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3))
	14.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
▶	14.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	20.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
	16.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	20.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
	17.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))))
	18.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	21.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
✓	17.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	31.6b	(-.f64 (fabs.f64 (.f64 l (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	32.1b	(-.f64 (fabs.f64 (.f64 l (PI.f64))) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	41.5b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	43.9b	(.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))))
▶	21.1b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
▶	13.3b	(*.f64 l (PI.f64))

Compiler

Compiled 1182 to 736 computations (37.7% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.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	@	0	(*.f64 l (PI.f64))
0.0ms	l	@	inf	(*.f64 l (PI.f64))
0.0ms	l	@	-inf	(*.f64 l (PI.f64))

rewrite48.0ms (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))))))))

simplify61.0ms (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)))
✓	0.4b	(/.f64 (PI.f64) (*.f64 F F))
✓	2.8b	(.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))))

rewrite101.0ms (0.8%)

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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simplify233.0ms (1.9%)

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)))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
✓	0.2b	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
	0.3b	(*.f64 (PI.f64) l)
	30.1b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 46 to 16 computations (65.2% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1864×	`associate-/l*`
862×	`associate-/r/`
728×	`associate-/l/`
342×	`distribute-lft-neg-in`
306×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	270	44
2	3543	44

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

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

Outputs

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((#(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)) (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(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 (pow.f64 F -1/2) (*.f64 (/.f64 (pow.f64 F -1/2) F) (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))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 F -2)) (*.f64 (/.f64 1 (cbrt.f64 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x 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-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))))))))

simplify119.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1424×	`distribute-rgt-in`
1408×	`distribute-lft-in`
592×	`*-commutative`
564×	`associate-r`
460×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	414	7214
1	1184	6856
2	4892	6854

Stop Event

1×	node limit

Counts

174 → 194

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (*.f64 (PI.f64) l))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
	2.5b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	30.1b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 49 to 14 computations (71.4% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite68.0ms (0.5%)

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

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1678×	`associate-+r+`
1566×	`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	3347	707

Stop Event

1×	node limit

Counts

57 → 61

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)
	0.6b	(cbrt.f64 (*.f64 (PI.f64) l))
✓	2.8b	(.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))
	30.1b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 60 to 26 computations (56.7% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite105.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1084×	`unswap-sqr`
816×	`swap-sqr`
530×	`sqr-pow`
506×	`pow-sqr`
326×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	327	44
2	3827	44

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

Outputs

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(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)))) (#(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 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 F -2) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (+.f64 (pow.f64 F -4) 0)) (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (+.f64 0 (pow.f64 (pow.f64 F -2) 3))) (+.f64 (pow.f64 F -4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 F -2) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change 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(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 (cbrt.f64 (*.f64 (PI.f64) l)) 2))) 1)))) (#(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 (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 (sqrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (*.f64 (PI.f64) l) 1/6))))) (#(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 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 l) (cbrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2) (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (*.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 *.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (PI.f64))) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 1/6)) (pow.f64 (*.f64 (PI.f64) l) 1/6)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 1/6)) (pow.f64 (*.f64 (PI.f64) l) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) l) 1/6) (*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 1/6))) (*.f64 (pow.f64 (*.f64 (PI.f64) l) 1/6) (*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 1/6))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 l)) (*.f64 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(cbrt.f64 (*.f64 (PI.f64) l))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 4)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 4)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)))))))

simplify95.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

958×	`associate-/r*`
870×	`distribute-lft-in`
864×	`distribute-rgt-in`
790×	`associate-*r/`
720×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	301	4666
1	823	4380
2	3020	4378

Stop Event

1×	node limit

Counts

112 → 142

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

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

eval529.0ms (4.2%)

Compiler: Compiled 28611 to 13756 computations (51.9% saved)

prune321.0ms (2.6%)

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1027	18	1045
Fresh	14	7	21
Picked	1	0	1
Done	2	3	5
Total	1044	28	1072

Error

0.2b

Counts

1072 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	37.5b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) l)))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	35.9b	(fma.f64 (cbrt.f64 (pow.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))))
▶	20.7b	(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
	34.6b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
▶	14.1b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	55.2b	(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3) (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) F))) (.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) (+.f64 (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)) (pow.f64 (.f64 (PI.f64) l) 2))))
	26.7b	(/.f64 (.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))
	52.4b	(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
▶	17.1b	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
	17.4b	(-.f64 (pow.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	29.0b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	14.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	18.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
	16.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	18.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
✓	17.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	31.6b	(-.f64 (fabs.f64 (.f64 l (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	32.1b	(-.f64 (fabs.f64 (.f64 l (PI.f64))) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	52.9b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
	21.2b	(.f64 l (-.f64 (PI.f64) (pow.f64 (.f64 (/.f64 F (PI.f64)) F) -1)))
✓	21.1b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
▶	21.1b	(.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) F) (/.f64 1 F))))
	52.9b	(.f64 l (.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
	27.8b	(.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))) 3)))
✓	13.3b	(*.f64 l (PI.f64))
	52.4b	(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
	52.4b	(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
	46.0b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 832 to 561 computations (32.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(*.f64 l (PI.f64))
✓	0.6b	(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)

series1.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite83.0ms (0.7%)

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)))))))))

simplify51.0ms (0.4%)

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)))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(*.f64 l (PI.f64))
✓	1.8b	(-.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)))))

simplify67.0ms (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))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) F) (/.f64 1 F)))
✓	0.2b	(*.f64 (/.f64 (PI.f64) F) (/.f64 1 F))
✓	0.2b	(/.f64 (PI.f64) F)
✓	2.8b	(.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) F) (/.f64 1 F))))

Compiler

Compiled 39 to 19 computations (51.3% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

15 calls:

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

rewrite123.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1520×	`associate-/r*`
1456×	`associate-/l*`
680×	`distribute-rgt-in`
638×	`distribute-lft-in`
384×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	260	76
2	3559	76

Stop Event

1×	node limit

Counts

4 → 360

Calls

Call 1

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

simplify156.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1378×	`associate-/l*`
1020×	`associate-r`
972×	`associate-/r*`
790×	`associate-/l/`
698×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	852	19868
1	2260	18562

Stop Event

1×	node limit

Counts

408 → 541

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

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

localize11.0ms (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))
✓	5.8b	(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))

Compiler

Compiled 39 to 8 computations (79.5% saved)

series16.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
9.0ms	F	@	inf	(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
3.0ms	l	@	-inf	(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
1.0ms	l	@	inf	(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
1.0ms	l	@	inf	(/.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)))))

rewrite102.0ms (0.8%)

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

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simplify117.0ms (0.9%)

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)))
(.f64 (/.f64 (neg.f64 l) 1) (/.f64 (PI.f64) (.f64 F (neg.f64 F))))
(.f64 (/.f64 l 1) (/.f64 (PI.f64) (.f64 F F)))
(.f64 (/.f64 l 1) (/.f64 (PI.f64) (.f64 F (neg.f64 F))))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) (neg.f64 F)))
(*.f64 (/.f64 l (cbrt.f64 (pow.f64 F 4))) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 1 F) (.f64 l (/.f64 (PI.f64) F)))
(.f64 (/.f64 1 (.f64 F (neg.f64 F))) (*.f64 l (neg.f64 (PI.f64))))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) (neg.f64 F)))
(.f64 (neg.f64 (sqrt.f64 l)) (.f64 (sqrt.f64 l) (/.f64 (PI.f64) (*.f64 F F))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 l) 2)) (.f64 (cbrt.f64 l) (/.f64 (PI.f64) (*.f64 F F))))
(.f64 (/.f64 (PI.f64) (.f64 F (neg.f64 F))) l)
(.f64 (/.f64 (PI.f64) (.f64 F (neg.f64 F))) (neg.f64 l))
(.f64 (/.f64 (sqrt.f64 l) (.f64 F F)) (*.f64 (/.f64 (sqrt.f64 l) 1) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 l) (.f64 F F)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 l) 1) (PI.f64))))
(.f64 (/.f64 (sqrt.f64 l) 1) (.f64 (/.f64 (sqrt.f64 l) F) (/.f64 (PI.f64) F)))
(.f64 (/.f64 (sqrt.f64 l) 1) (neg.f64 (.f64 (/.f64 (sqrt.f64 l) F) (/.f64 (PI.f64) F))))
(.f64 (.f64 (/.f64 (sqrt.f64 l) F) (/.f64 (PI.f64) F)) (sqrt.f64 l))
(.f64 (/.f64 (sqrt.f64 l) (pow.f64 (cbrt.f64 (.f64 (/.f64 F (PI.f64)) F)) 2)) (/.f64 (sqrt.f64 l) (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) F))))
(.f64 (/.f64 (sqrt.f64 l) (pow.f64 (cbrt.f64 (.f64 (/.f64 F (PI.f64)) F)) 2)) (neg.f64 (/.f64 (sqrt.f64 l) (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) F)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 F F)) (*.f64 (/.f64 (cbrt.f64 l) 1) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 F F)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 l) 1) (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) 1) (.f64 (/.f64 (cbrt.f64 l) F) (/.f64 (PI.f64) F)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) 1) (neg.f64 (.f64 (/.f64 (cbrt.f64 l) F) (/.f64 (PI.f64) F))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) (/.f64 F (sqrt.f64 (PI.f64)))) (.f64 (/.f64 (cbrt.f64 l) F) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) (/.f64 F (sqrt.f64 (PI.f64)))) (neg.f64 (.f64 (/.f64 (cbrt.f64 l) F) (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) (pow.f64 (cbrt.f64 (.f64 (/.f64 F (PI.f64)) F)) 2)) (cbrt.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))))
(*.f64 (/.f64 l (pow.f64 (cbrt.f64 F) 2)) (/.f64 (/.f64 (PI.f64) F) (cbrt.f64 F)))
(.f64 (/.f64 l -1) (/.f64 (PI.f64) (.f64 F F)))
(.f64 (/.f64 l -1) (/.f64 (PI.f64) (.f64 F (neg.f64 F))))
(*.f64 (/.f64 l (neg.f64 F)) (/.f64 (PI.f64) F))
(*.f64 (/.f64 l (neg.f64 F)) (/.f64 (PI.f64) (neg.f64 F)))
(*.f64 (/.f64 (neg.f64 l) (sqrt.f64 F)) (/.f64 (/.f64 (PI.f64) F) (sqrt.f64 F)))
(.f64 (/.f64 -1 (.f64 F (neg.f64 F))) (*.f64 l (neg.f64 (PI.f64))))
(*.f64 (/.f64 l (sqrt.f64 F)) (/.f64 (/.f64 (PI.f64) F) (sqrt.f64 F)))
(.f64 (/.f64 l (/.f64 (.f64 F F) 1)) (PI.f64))
(.f64 (/.f64 l (/.f64 (.f64 F F) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 l (/.f64 (.f64 F F) (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 1 (/.f64 (.f64 (/.f64 F (PI.f64)) F) (sqrt.f64 l))) (sqrt.f64 l))
(.f64 (/.f64 1 (/.f64 F (.f64 (pow.f64 (cbrt.f64 l) 2) (/.f64 (PI.f64) F)))) (cbrt.f64 l))
(.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (/.f64 F (PI.f64)) F)) (cbrt.f64 l))
(.f64 (/.f64 (/.f64 l (.f64 F F)) 1) (PI.f64))
(.f64 (/.f64 (/.f64 l (.f64 F F)) 1) (/.f64 (PI.f64) 1))
(.f64 (/.f64 (/.f64 l (.f64 F F)) -1) (neg.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 l (.f64 F F)) (/.f64 1 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 l (.f64 F F)) (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (neg.f64 l) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (/.f64 (PI.f64) F) (cbrt.f64 F)))
(*.f64 (/.f64 (neg.f64 l) (cbrt.f64 (pow.f64 F 4))) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 (neg.f64 l) -1) (/.f64 (PI.f64) (.f64 F F)))
(.f64 (/.f64 (neg.f64 l) -1) (/.f64 (PI.f64) (.f64 F (neg.f64 F))))
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(*.f64 (/.f64 (neg.f64 l) (neg.f64 F)) (/.f64 (PI.f64) F))
(*.f64 (/.f64 (neg.f64 l) (neg.f64 F)) (/.f64 (PI.f64) (neg.f64 F)))
(.f64 (/.f64 -1 F) (.f64 l (/.f64 (PI.f64) F)))
(.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 (sqrt.f64 (PI.f64)))) (/.f64 l (/.f64 F (sqrt.f64 (PI.f64)))))
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(*.f64 (/.f64 (/.f64 (neg.f64 l) 1) F) (/.f64 (PI.f64) F))
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(*.f64 (/.f64 (/.f64 (neg.f64 l) 1) (neg.f64 F)) (/.f64 (PI.f64) (neg.f64 F)))
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(.f64 (/.f64 (/.f64 (neg.f64 l) (pow.f64 (cbrt.f64 (.f64 (/.f64 F (PI.f64)) F)) 2)) (cbrt.f64 (*.f64 F (neg.f64 F)))) (cbrt.f64 (neg.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 l 1) F) (/.f64 (PI.f64) F))
(.f64 (/.f64 (/.f64 l 1) 1) (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (/.f64 l 1) (sqrt.f64 F)) (/.f64 (/.f64 (PI.f64) F) (sqrt.f64 F)))
(*.f64 (/.f64 (/.f64 l 1) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (/.f64 (PI.f64) F) (cbrt.f64 F)))
(*.f64 (/.f64 (/.f64 l 1) (cbrt.f64 (pow.f64 F 4))) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 (/.f64 l 1) -1) (/.f64 (PI.f64) (.f64 F (neg.f64 F))))
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(.f64 (/.f64 (/.f64 l 1) (/.f64 (.f64 F F) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
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(.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)))
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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 (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))
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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 (*.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 l (PI.f64))
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(pow.f64 (*.f64 (/.f64 (sqrt.f64 l) F) (sqrt.f64 (PI.f64))) 2)
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(.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))))

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) l)
✓	0.4b	(/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))
	2.8b	(.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))
	30.1b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 72 to 37 computations (48.6% saved)

series7.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	l	@	0	(/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))
2.0ms	F	@	0	(/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))
1.0ms	l	@	inf	(/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))
1.0ms	F	@	inf	(/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))
1.0ms	l	@	-inf	(/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`unswap-sqr`
900×	`swap-sqr`
602×	`associate-*r/`
468×	`associate-*l/`
390×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	45
1	343	41
2	4075	41

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))

Outputs

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

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1152×	`associate-*r/`
968×	`associate-*l/`
686×	`distribute-lft-in`
672×	`distribute-rgt-in`
654×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	249	6556
1	779	6026
2	3894	6026

Stop Event

1×	node limit

Counts

56 → 93

Calls

Call 1

Inputs
(/.f64 1 (.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64)) l))
(+.f64 (/.f64 (.f64 l (-.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))))) (pow.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64)) 2)) (/.f64 1 (.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 (/.f64 (pow.f64 (-.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)))) 2) (pow.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64)) 3))) (.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 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64)) 2)))))) (+.f64 (/.f64 (.f64 l (-.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))))) (pow.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64)) 2)) (/.f64 1 (.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64)) l))))
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(/.f64 1 (*.f64 l (PI.f64)))
(+.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (/.f64 1 (.f64 l (PI.f64))))
(+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 2) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 2) (.f64 (pow.f64 F 4) (pow.f64 (PI.f64) 3))))) (+.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 l 2) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (pow.f64 (PI.f64) 2))))) (/.f64 1 (*.f64 l (PI.f64)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 3) (.f64 (pow.f64 F 6) (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 3) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (+.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 l 2) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (pow.f64 (PI.f64) 2))))) (+.f64 (/.f64 1 (.f64 l (PI.f64))) (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 2) (.f64 (pow.f64 F 4) (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 2) (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))))))))
(/.f64 1 (*.f64 l (PI.f64)))
(+.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (/.f64 1 (.f64 l (PI.f64))))
(+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 2) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 2) (.f64 (pow.f64 F 4) (pow.f64 (PI.f64) 3))))) (+.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 l 2) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (pow.f64 (PI.f64) 2))))) (/.f64 1 (*.f64 l (PI.f64)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 3) (.f64 (pow.f64 F 6) (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 3) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (+.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 l 2) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (pow.f64 (PI.f64) 2))))) (+.f64 (/.f64 1 (.f64 l (PI.f64))) (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 2) (.f64 (pow.f64 F 4) (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 2) (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))))))))
(.f64 -1 (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (.f64 l (PI.f64)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 2) (.f64 l (.f64 (pow.f64 F 4) (PI.f64)))) (pow.f64 (sin.f64 (.f64 l (PI.f64))) 2))) (.f64 -1 (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (.f64 l (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 2) (.f64 l (.f64 (pow.f64 F 4) (PI.f64)))) (pow.f64 (sin.f64 (.f64 l (PI.f64))) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 3) (.f64 (pow.f64 l 2) (.f64 (pow.f64 F 6) (pow.f64 (PI.f64) 2)))) (pow.f64 (sin.f64 (.f64 l (PI.f64))) 3))) (.f64 -1 (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (.f64 l (PI.f64)))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 2) (.f64 l (.f64 (pow.f64 F 4) (PI.f64)))) (pow.f64 (sin.f64 (.f64 l (PI.f64))) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 3) (.f64 (pow.f64 l 2) (.f64 (pow.f64 F 6) (pow.f64 (PI.f64) 2)))) (pow.f64 (sin.f64 (.f64 l (PI.f64))) 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (.f64 l (PI.f64))))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 4) (.f64 (pow.f64 l 3) (.f64 (pow.f64 F 8) (pow.f64 (PI.f64) 3)))) (pow.f64 (sin.f64 (.f64 l (PI.f64))) 4))))))
(/.f64 1 (*.f64 l (PI.f64)))
(+.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 l 2) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (pow.f64 (PI.f64) 2))))) (/.f64 1 (.f64 l (PI.f64))))
(+.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (/.f64 1 (.f64 l (PI.f64))) (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 2) (.f64 (pow.f64 F 4) (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 2) (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))))))
(+.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 2) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 2) (.f64 (pow.f64 F 4) (pow.f64 (PI.f64) 3))))) (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 3) (.f64 (pow.f64 l 4) (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 3) (.f64 (pow.f64 F 6) (pow.f64 (PI.f64) 4))))) (/.f64 1 (.f64 l (PI.f64))))))
(/.f64 1 (*.f64 l (PI.f64)))
(+.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 l 2) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (pow.f64 (PI.f64) 2))))) (/.f64 1 (.f64 l (PI.f64))))
(+.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (/.f64 1 (.f64 l (PI.f64))) (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 2) (.f64 (pow.f64 F 4) (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 2) (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))))))
(+.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 2) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 2) (.f64 (pow.f64 F 4) (pow.f64 (PI.f64) 3))))) (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 3) (.f64 (pow.f64 l 4) (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 3) (.f64 (pow.f64 F 6) (pow.f64 (PI.f64) 4))))) (/.f64 1 (.f64 l (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))) 1)
(.f64 1 (/.f64 1 (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)))) 1)
(.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) -1/2) (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) -1/2))
(.f64 (/.f64 1 (cbrt.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))) -2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) -2)) (/.f64 1 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))
(.f64 -1 (/.f64 -1 (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)))) -1)
(.f64 (pow.f64 (sqrt.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)))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) -1))
(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (.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 1 (+.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 (.f64 (PI.f64) l) 2) (.f64 (.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 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))) (/.f64 1 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))) (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))) (/.f64 1 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) -1/2)) (/.f64 1 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) -1/2)) (/.f64 1 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) -2)))) (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) -2)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) -2)))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) -2)))))
(.f64 (.f64 (/.f64 1 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))))) (.f64 (/.f64 1 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) -2))) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) -1/2))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) -2))) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) -1/2))))
(pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) -1)
(pow.f64 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) 3)
(pow.f64 (/.f64 1 (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 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))))
(exp.f64 (neg.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))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))))

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

eval719.0ms (5.8%)

Compiler: Compiled 31898 to 15500 computations (51.4% saved)

prune487.0ms (3.9%)

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	1399	15	1414
Fresh	7	13	20
Picked	1	0	1
Done	1	6	7
Total	1408	34	1442

Error

0.2b

Counts

1442 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	37.5b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) l)))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
✓	20.7b	(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
	14.3b	(pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 3)
	34.6b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
✓	14.1b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	46.9b	(/.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)))
	52.4b	(/.f64 l (*.f64 (neg.f64 F) (/.f64 F (PI.f64))))
	44.2b	(/.f64 1 (/.f64 (+.f64 (*.f64 l (PI.f64)) 2) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1)))
▶	13.3b	(/.f64 1 (/.f64 1 (*.f64 (PI.f64) l)))
	51.9b	(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 3))))
✓	29.0b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	14.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	18.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
	16.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	18.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
✓	17.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	31.6b	(-.f64 (fabs.f64 (.f64 l (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	32.1b	(-.f64 (fabs.f64 (.f64 l (PI.f64))) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	13.9b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)))
	14.1b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
	14.2b	(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
	39.4b	(.f64 (.f64 (sqrt.f64 l) (sqrt.f64 l)) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
▶	34.5b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
	52.4b	(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
	20.7b	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
▶	52.9b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
	21.1b	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 1 F) (/.f64 F (PI.f64)))))
▶	21.2b	(.f64 l (-.f64 (PI.f64) (/.f64 1 (.f64 F (/.f64 F (PI.f64))))))
✓	21.1b	(.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) F) (/.f64 1 F))))
	52.9b	(.f64 l (.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
	27.8b	(.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))) 3)))
✓	13.3b	(*.f64 l (PI.f64))
	52.4b	(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
	46.0b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 834 to 584 computations (30% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 1 (*.f64 (PI.f64) l)))
	0.3b	(*.f64 (PI.f64) l)
✓	0.3b	(/.f64 1 (*.f64 (PI.f64) l))

Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`add-sqr-sqrt`
1506×	`*-un-lft-identity`
1396×	`add-cube-cbrt`
1378×	`add-cbrt-cube`
1362×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	185	24
2	1992	24

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1306×	`unswap-sqr`
1146×	`associate-+r+`
1086×	`associate-*r/`
836×	`associate-/r*`
760×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	125	1062
1	305	1032
2	1344	1032
3	7032	1032

Stop Event

1×	node limit

Counts

82 → 65

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
✓	6.0b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	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))

rewrite77.0ms (0.6%)

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

simplify114.0ms (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)))
(.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 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))) 1)
(/.f64 l (*.f64 (/.f64 F (PI.f64)) F))
(/.f64 (PI.f64) (/.f64 (*.f64 F F) l))
(/.f64 (PI.f64) (/.f64 (neg.f64 (*.f64 F F)) l))
(/.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))) 1)
(/.f64 1 (/.f64 F (/.f64 l (/.f64 F (PI.f64)))))
(/.f64 1 (/.f64 (neg.f64 (.f64 F F)) (.f64 l (PI.f64))))
(/.f64 (sqrt.f64 l) (/.f64 (*.f64 (/.f64 F (PI.f64)) F) (sqrt.f64 l)))
(/.f64 (sqrt.f64 l) (/.f64 (.f64 F F) (.f64 (PI.f64) (sqrt.f64 l))))
(/.f64 (sqrt.f64 l) (/.f64 (neg.f64 (.f64 F F)) (.f64 (PI.f64) (sqrt.f64 l))))
(/.f64 (cbrt.f64 l) (/.f64 (.f64 (/.f64 F (PI.f64)) F) (cbrt.f64 (.f64 l l))))
(/.f64 (cbrt.f64 (.f64 l l)) (/.f64 (.f64 (/.f64 F (PI.f64)) F) (cbrt.f64 l)))
(/.f64 (cbrt.f64 (.f64 l l)) (/.f64 (.f64 F F) (*.f64 (PI.f64) (cbrt.f64 l))))
(/.f64 (cbrt.f64 (.f64 l l)) (/.f64 (neg.f64 (.f64 F F)) (*.f64 (PI.f64) (cbrt.f64 l))))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (/.f64 F (/.f64 1 F)))
(/.f64 (.f64 l (PI.f64)) (neg.f64 (neg.f64 (.f64 F F))))
(/.f64 (/.f64 (PI.f64) F) (/.f64 F l))
(/.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 (.f64 F F) (sqrt.f64 (*.f64 l (PI.f64)))))
(/.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 (neg.f64 (.f64 F F)) (sqrt.f64 (*.f64 l (PI.f64)))))
(/.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 (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 (.f64 l (sqrt.f64 (PI.f64))) (/.f64 (.f64 F F) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 l (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (.f64 F F)) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (.f64 F F) (cbrt.f64 (PI.f64))))
(/.f64 (.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (neg.f64 (.f64 F F)) (cbrt.f64 (PI.f64))))
(/.f64 (.f64 l -1) (.f64 (/.f64 F (PI.f64)) F))
(/.f64 (.f64 l -1) (neg.f64 (.f64 (/.f64 F (PI.f64)) F)))
(/.f64 (*.f64 l (pow.f64 F -2)) (/.f64 1 (PI.f64)))
(/.f64 (.f64 l (/.f64 (sqrt.f64 (PI.f64)) F)) (sqrt.f64 (.f64 (/.f64 F (PI.f64)) F)))
(/.f64 (/.f64 l (/.f64 F (PI.f64))) F)
(/.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 F))
(/.f64 (/.f64 (PI.f64) (/.f64 1 l)) (*.f64 F F))
(/.f64 (/.f64 (PI.f64) (/.f64 1 l)) (neg.f64 (*.f64 F F)))
(/.f64 (/.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 F 4)) l)) (cbrt.f64 (*.f64 F F)))
(/.f64 (/.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 F 4)) l)) (neg.f64 (cbrt.f64 (*.f64 F F))))
(/.f64 (.f64 (sqrt.f64 l) (sqrt.f64 (PI.f64))) (/.f64 (.f64 F F) (*.f64 (sqrt.f64 l) (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (sqrt.f64 l) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (.f64 F F)) (*.f64 (sqrt.f64 l) (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
(/.f64 (/.f64 l 1) (*.f64 (/.f64 F (PI.f64)) F))
(/.f64 (/.f64 l (cbrt.f64 (pow.f64 F 4))) (/.f64 (cbrt.f64 (*.f64 F F)) (PI.f64)))
(/.f64 (.f64 l (/.f64 (PI.f64) (cbrt.f64 (.f64 F F)))) (cbrt.f64 (pow.f64 F 4)))
(/.f64 (.f64 l (/.f64 (PI.f64) (cbrt.f64 (pow.f64 F 4)))) (cbrt.f64 (.f64 F F)))
(/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F (sqrt.f64 F)))) (sqrt.f64 F))
(/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F (cbrt.f64 (*.f64 F F))))) (cbrt.f64 F))
(/.f64 (*.f64 1 (/.f64 l (/.f64 F (PI.f64)))) F)
(/.f64 (.f64 1 (/.f64 (PI.f64) (/.f64 1 l))) (.f64 F F))
(/.f64 (.f64 1 (/.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 F 4)) l))) (cbrt.f64 (.f64 F F)))
(/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F) (sqrt.f64 (*.f64 l (PI.f64)))) F)
(/.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)))
(/.f64 (.f64 (.f64 l (PI.f64)) -1) (neg.f64 (*.f64 F F)))
(/.f64 (.f64 (.f64 l (PI.f64)) (/.f64 1 F)) F)
(/.f64 (.f64 (.f64 l (PI.f64)) (/.f64 1 (cbrt.f64 (pow.f64 F 4)))) (cbrt.f64 (*.f64 F F)))
(/.f64 (.f64 (.f64 l (/.f64 (sqrt.f64 (PI.f64)) F)) 1) (sqrt.f64 (*.f64 (/.f64 F (PI.f64)) F)))
(/.f64 (.f64 (.f64 l (/.f64 (sqrt.f64 (PI.f64)) F)) (sqrt.f64 (PI.f64))) F)
(/.f64 (.f64 (.f64 l (/.f64 (sqrt.f64 (PI.f64)) F)) (sqrt.f64 (PI.f64))) (sqrt.f64 (neg.f64 (*.f64 F F))))
(/.f64 (.f64 (.f64 l (/.f64 (sqrt.f64 (PI.f64)) F)) (sqrt.f64 (/.f64 (PI.f64) F))) (sqrt.f64 F))
(/.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)))
(/.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)))
(/.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))))
(/.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))
(/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)
(/.f64 (*.f64 (/.f64 l F) (PI.f64)) (neg.f64 F))
(/.f64 (*.f64 (/.f64 l F) 1) (/.f64 F (PI.f64)))
(/.f64 (*.f64 (/.f64 l F) (sqrt.f64 (PI.f64))) (/.f64 F (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (/.f64 l F) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 F (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (/.f64 l F) -1) (/.f64 F (PI.f64)))
(/.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) (sqrt.f64 F))) (sqrt.f64 F))
(/.f64 (.f64 (/.f64 l F) (/.f64 (PI.f64) (cbrt.f64 (.f64 F F)))) (cbrt.f64 F))
(/.f64 (.f64 (/.f64 l 1) (PI.f64)) (.f64 F F))
(/.f64 (.f64 (/.f64 l 1) (PI.f64)) (neg.f64 (.f64 F F)))
(/.f64 (.f64 (/.f64 l 1) (PI.f64)) (neg.f64 (neg.f64 (.f64 F F))))
(/.f64 (.f64 (/.f64 l 1) 1) (.f64 (/.f64 F (PI.f64)) F))
(/.f64 (.f64 (/.f64 l 1) (sqrt.f64 (PI.f64))) (/.f64 (.f64 F F) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 l 1) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (.f64 F F) (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (/.f64 l 1) (/.f64 (PI.f64) F)) F)
(/.f64 (*.f64 (/.f64 l 1) (/.f64 (PI.f64) F)) (neg.f64 F))
(/.f64 (.f64 (/.f64 l 1) -1) (.f64 (/.f64 F (PI.f64)) F))
(/.f64 (.f64 (/.f64 l 1) -1) (neg.f64 (.f64 (/.f64 F (PI.f64)) F)))
(/.f64 (.f64 (/.f64 l 1) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 F 4)))) (cbrt.f64 (.f64 F F)))
(/.f64 (.f64 (/.f64 l 1) (/.f64 (PI.f64) (.f64 F (sqrt.f64 F)))) (sqrt.f64 F))
(/.f64 (.f64 (/.f64 l 1) (/.f64 (PI.f64) (.f64 F (cbrt.f64 (*.f64 F F))))) (cbrt.f64 F))
(/.f64 (.f64 (/.f64 l (cbrt.f64 (pow.f64 F 4))) (PI.f64)) (cbrt.f64 (.f64 F F)))
(/.f64 (.f64 (-.f64 0 (pow.f64 (PI.f64) 2)) (.f64 l (pow.f64 F -2))) (PI.f64))
(/.f64 (.f64 (-.f64 0 (pow.f64 (PI.f64) 3)) (.f64 l (pow.f64 F -2))) (+.f64 (+.f64 0 (pow.f64 (PI.f64) 2)) (*.f64 (PI.f64) 0)))
(/.f64 (.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 F 4))) l) (cbrt.f64 (.f64 F F)))
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 F (sqrt.f64 F))) l) (sqrt.f64 F))
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 F (cbrt.f64 (*.f64 F F)))) l) (cbrt.f64 F))
(/.f64 (*.f64 (/.f64 l (/.f64 F (PI.f64))) 1) F)
(/.f64 (.f64 (/.f64 (PI.f64) (/.f64 1 l)) 1) (.f64 F F))
(/.f64 (.f64 (/.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 F 4)) l)) 1) (cbrt.f64 (.f64 F F)))
(/.f64 (.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (.f64 1 (.f64 l (/.f64 (sqrt.f64 (PI.f64)) F))) (sqrt.f64 (*.f64 (/.f64 F (PI.f64)) F)))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 l (/.f64 (sqrt.f64 (PI.f64)) F))) F)
(/.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 l (/.f64 (sqrt.f64 (PI.f64)) F))) (sqrt.f64 (neg.f64 (*.f64 F F))))
(/.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) F)) (.f64 l (/.f64 (sqrt.f64 (PI.f64)) F))) (sqrt.f64 F))
(/.f64 (.f64 (cbrt.f64 (.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) 2)) (cbrt.f64 (*.f64 F F)))
(/.f64 (/.f64 (.f64 l (PI.f64)) (sqrt.f64 F)) (.f64 F (sqrt.f64 F)))
(/.f64 (/.f64 (.f64 l (PI.f64)) (cbrt.f64 (.f64 F F))) (cbrt.f64 (pow.f64 F 4)))
(/.f64 (/.f64 (.f64 l (PI.f64)) (cbrt.f64 (.f64 F F))) (*.f64 F (cbrt.f64 F)))
(/.f64 (/.f64 l -1) (*.f64 (/.f64 F (PI.f64)) F))
(/.f64 (/.f64 l (.f64 (cbrt.f64 (.f64 (/.f64 F (PI.f64)) F)) (cbrt.f64 (.f64 (/.f64 F (PI.f64)) F)))) (cbrt.f64 (.f64 (/.f64 F (PI.f64)) F)))
(/.f64 (/.f64 l (/.f64 F (sqrt.f64 (PI.f64)))) (/.f64 F (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 l (/.f64 F (pow.f64 (cbrt.f64 (PI.f64)) 2))) (/.f64 F (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 l (/.f64 F -1)) (/.f64 F (PI.f64)))
(/.f64 (/.f64 l (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 F F) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 l (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (/.f64 (*.f64 F F) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 l (/.f64 (cbrt.f64 (pow.f64 F 4)) (sqrt.f64 (PI.f64)))) (/.f64 (cbrt.f64 (*.f64 F F)) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 l (/.f64 (cbrt.f64 (pow.f64 F 4)) (pow.f64 (cbrt.f64 (PI.f64)) 2))) (/.f64 (cbrt.f64 (*.f64 F F)) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 l (/.f64 (cbrt.f64 (pow.f64 F 4)) -1)) (/.f64 (cbrt.f64 (*.f64 F F)) (PI.f64)))
(/.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F (sqrt.f64 F))) (sqrt.f64 F))
(/.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F (cbrt.f64 (*.f64 F F)))) (cbrt.f64 F))
(/.f64 (/.f64 (.f64 l (PI.f64)) -1) (.f64 F F))
(/.f64 (/.f64 (.f64 l (PI.f64)) (sqrt.f64 (neg.f64 (.f64 F F)))) (sqrt.f64 (neg.f64 (*.f64 F F))))
(/.f64 (/.f64 (.f64 l (PI.f64)) (.f64 (cbrt.f64 (neg.f64 (.f64 F F))) (cbrt.f64 (neg.f64 (.f64 F F))))) (cbrt.f64 (neg.f64 (*.f64 F F))))
(/.f64 (/.f64 (.f64 l (PI.f64)) (neg.f64 (cbrt.f64 (pow.f64 F 4)))) (cbrt.f64 (.f64 F F)))
(/.f64 (/.f64 (/.f64 l (/.f64 F (PI.f64))) (sqrt.f64 F)) (sqrt.f64 F))
(/.f64 (/.f64 (/.f64 l (/.f64 F (PI.f64))) (cbrt.f64 F)) (cbrt.f64 (*.f64 F F)))
(/.f64 (/.f64 (/.f64 l (/.f64 F (PI.f64))) (cbrt.f64 (*.f64 F F))) (cbrt.f64 F))
(/.f64 (/.f64 (/.f64 l (/.f64 F (PI.f64))) (sqrt.f64 (cbrt.f64 (pow.f64 F 4)))) (sqrt.f64 (cbrt.f64 (*.f64 F F))))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 1 l)) 1) (*.f64 F F))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 1 l)) (sqrt.f64 F)) (*.f64 F (sqrt.f64 F)))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 1 l)) (cbrt.f64 (*.f64 F F))) (cbrt.f64 (pow.f64 F 4)))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 1 l)) (cbrt.f64 (.f64 F F))) (.f64 F (cbrt.f64 F)))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 1 l)) (*.f64 F (sqrt.f64 F))) (sqrt.f64 F))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 1 l)) (.f64 F (cbrt.f64 (.f64 F F)))) (cbrt.f64 F))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 F 4)) l)) 1) (cbrt.f64 (*.f64 F F)))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 F 4)) l)) (cbrt.f64 F)) (cbrt.f64 F))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 F 4)) l)) (sqrt.f64 (cbrt.f64 (.f64 F F)))) (sqrt.f64 (cbrt.f64 (.f64 F F))))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 F 4)) l)) (cbrt.f64 (cbrt.f64 (pow.f64 F 4)))) (cbrt.f64 (cbrt.f64 (*.f64 F F))))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 F 4)) l)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 F F))) (cbrt.f64 (cbrt.f64 (.f64 F F))))) (cbrt.f64 (cbrt.f64 (.f64 F F))))
(pow.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))) 3) 1/3)
(neg.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))) 3))
(cbrt.f64 (.f64 (pow.f64 l 3) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))))
(+.f64 0 (*.f64 (PI.f64) (pow.f64 F -2)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 F -2))))) 1)
(+.f64 (-.f64 0 (/.f64 0 (.f64 F F))) (.f64 (PI.f64) (pow.f64 F -2)))
(+.f64 (-.f64 (/.f64 0 (.f64 F F)) 0) (.f64 (PI.f64) (pow.f64 F -2)))
(+.f64 (-.f64 (/.f64 0 (.f64 F F)) (exp.f64 (log1p.f64 (.f64 (PI.f64) (pow.f64 F -2))))) 1)
(+.f64 (-.f64 (/.f64 0 (.f64 F F)) (/.f64 0 (.f64 F F))) (*.f64 (PI.f64) (pow.f64 F -2)))
(-.f64 0 (*.f64 (PI.f64) (pow.f64 F -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) 1)
(-.f64 (/.f64 0 (.f64 F F)) (.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 (PI.f64) (pow.f64 F -2))
(.f64 (PI.f64) (/.f64 -1 (.f64 F F)))
(.f64 (.f64 (PI.f64) (pow.f64 F -2)) 1)
(.f64 (.f64 (PI.f64) (pow.f64 F -2)) -1)
(.f64 1 (.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) F) (/.f64 (sqrt.f64 (PI.f64)) F))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 F -2)))
(.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 F -2))) (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 F -2))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (pow.f64 F 4))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (cbrt.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 F -2)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 1 F))
(*.f64 (/.f64 (PI.f64) F) (/.f64 -1 F))
(.f64 -1 (.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 (pow.f64 F -2) (PI.f64))
(*.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 (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)))
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(/.f64 (PI.f64) (.f64 (cbrt.f64 (.f64 F F)) (/.f64 (cbrt.f64 (pow.f64 F 4)) l)))
(.f64 (/.f64 (/.f64 (PI.f64) (cbrt.f64 (.f64 F F))) (cbrt.f64 (pow.f64 F 4))) l)
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 F 4)) l)) (cbrt.f64 (cbrt.f64 (pow.f64 F 4)))) (cbrt.f64 (cbrt.f64 (*.f64 F F))))
(/.f64 (/.f64 (PI.f64) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 F 4))) (/.f64 (cbrt.f64 (pow.f64 F 4)) l))) (cbrt.f64 (cbrt.f64 (.f64 F F))))
(.f64 (/.f64 l (cbrt.f64 (cbrt.f64 (.f64 F F)))) (/.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (cbrt.f64 (pow.f64 F 4)))))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 F 4)) l)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 F F))) (cbrt.f64 (cbrt.f64 (.f64 F F))))) (cbrt.f64 (cbrt.f64 (.f64 F F))))
(/.f64 (PI.f64) (.f64 (cbrt.f64 (.f64 F F)) (/.f64 (cbrt.f64 (pow.f64 F 4)) l)))
(.f64 (/.f64 (/.f64 (PI.f64) (cbrt.f64 (.f64 F F))) (cbrt.f64 (pow.f64 F 4))) l)
(pow.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)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 2)
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) 3)
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(pow.f64 (pow.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))) 3) 1/3)
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(neg.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(.f64 l (neg.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)) 2))
(fabs.f64 (.f64 l (.f64 (PI.f64) (pow.f64 F -2))))
(log.f64 (exp.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))) 3))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(cbrt.f64 (.f64 (pow.f64 l 3) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(exp.f64 (log.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(+.f64 0 (*.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 (PI.f64) (pow.f64 F -2))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 F -2))))) 1)
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(+.f64 (-.f64 0 (/.f64 0 (.f64 F F))) (.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 (PI.f64) (pow.f64 F -2))
(+.f64 (-.f64 (/.f64 0 (.f64 F F)) 0) (.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 (PI.f64) (pow.f64 F -2))
(+.f64 (-.f64 (/.f64 0 (.f64 F F)) (exp.f64 (log1p.f64 (.f64 (PI.f64) (pow.f64 F -2))))) 1)
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(+.f64 (-.f64 (/.f64 0 (.f64 F F)) (/.f64 0 (.f64 F F))) (*.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 (PI.f64) (pow.f64 F -2))
(-.f64 0 (*.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 (PI.f64) (pow.f64 F -2)))) 1)
(*.f64 (PI.f64) (pow.f64 F -2))
(-.f64 (/.f64 0 (.f64 F F)) (.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 (PI.f64) (pow.f64 F -2))
(.f64 (PI.f64) (/.f64 -1 (.f64 F F)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(.f64 (.f64 (PI.f64) (pow.f64 F -2)) 1)
(*.f64 (PI.f64) (pow.f64 F -2))
(.f64 (.f64 (PI.f64) (pow.f64 F -2)) -1)
(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)))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) F) (/.f64 (sqrt.f64 (PI.f64)) F))
(*.f64 (PI.f64) (pow.f64 F -2))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 F -2)))
(*.f64 (PI.f64) (pow.f64 F -2))
(.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 F -2))) (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (cbrt.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 2)) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 F -2))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (pow.f64 F 4))))
(/.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 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (cbrt.f64 (.f64 (PI.f64) (pow.f64 F -2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 2)) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 F -2)))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 (/.f64 (PI.f64) F) (/.f64 1 F))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 (/.f64 (PI.f64) F) (/.f64 -1 F))
(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 (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 (/.f64 1 F) (/.f64 (PI.f64) F))
(*.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 (PI.f64) (cbrt.f64 (*.f64 F F))) (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 (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 -1 (.f64 F F)) (PI.f64))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 F -2)))
(*.f64 (PI.f64) (pow.f64 F -2))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 F -2)) (sqrt.f64 (PI.f64)))
(*.f64 (PI.f64) (pow.f64 F -2))
(.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))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 F (/.f64 F (PI.f64)))
✓	0.3b	(/.f64 F (PI.f64))
✓	0.3b	(/.f64 1 (*.f64 F (/.f64 F (PI.f64))))
✓	2.8b	(.f64 l (-.f64 (PI.f64) (/.f64 1 (.f64 F (/.f64 F (PI.f64))))))

Compiler

Compiled 41 to 15 computations (63.4% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

15 calls:

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

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`associate-/l*`
864×	`swap-sqr`
600×	`distribute-rgt-in`
580×	`associate-/r/`
562×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	80
1	256	68
2	3478	68

Stop Event

1×	node limit

Counts

4 → 211

Calls

Call 1

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

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

simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1192×	`distribute-lft-in`
1180×	`distribute-rgt-in`
524×	`associate-r`
512×	`*-commutative`
472×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	475	6365
1	1257	6231
2	4993	6207

Stop Event

1×	node limit

Counts

259 → 303

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	l	@	-inf	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
1.0ms	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))

rewrite53.0ms (0.4%)

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))))))))

simplify45.0ms (0.4%)

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))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) l)
	0.3b	(/.f64 1 (*.f64 F F))
	2.8b	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
	30.1b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 53 to 18 computations (66% saved)

eval234.0ms (1.9%)

Compiler: Compiled 17716 to 6961 computations (60.7% saved)

prune325.0ms (2.6%)

Pruning

31 alts after pruning (22 fresh and 9 done)

	Pruned	Kept	Total
New	1001	13	1014
Fresh	14	9	23
Picked	0	1	1
Done	2	8	10
Total	1017	31	1048

Error

0.2b

Counts

1048 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	37.5b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) l)))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
✓	20.7b	(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
	34.6b	(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
✓	14.1b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	50.1b	(/.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 F))
	52.4b	(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
	37.1b	(/.f64 (cbrt.f64 (.f64 l (PI.f64))) (cbrt.f64 (pow.f64 (.f64 l (PI.f64)) -2)))
	34.5b	(/.f64 1 (pow.f64 (pow.f64 (*.f64 (PI.f64) l) -1/2) 2))
	14.1b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (PI.f64) l))) 3))
	13.4b	(/.f64 1 (/.f64 (/.f64 1 (PI.f64)) l))
	13.4b	(/.f64 1 (/.f64 (/.f64 1 l) (PI.f64)))
	14.1b	(/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)))
✓	29.0b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	14.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	16.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
✓	17.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	29.3b	(-.f64 (fabs.f64 (.f64 l (PI.f64))) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
✓	32.1b	(-.f64 (fabs.f64 (.f64 l (PI.f64))) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	13.9b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)))
	14.2b	(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
	39.4b	(.f64 (.f64 (sqrt.f64 l) (sqrt.f64 l)) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
✓	34.5b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
	20.7b	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
✓	52.9b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
✓	21.2b	(.f64 l (-.f64 (PI.f64) (/.f64 1 (.f64 F (/.f64 F (PI.f64))))))
	52.9b	(.f64 l (.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
	52.9b	(.f64 l (.f64 (/.f64 -1 (*.f64 F F)) (PI.f64)))
	27.8b	(.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))) 3)))
✓	13.3b	(*.f64 l (PI.f64))
	50.2b	(neg.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
	46.0b	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))

Compiler

Compiled 373 to 270 computations (27.6% saved)

regimes617.0ms (4.9%)

Counts

74 → 3

Calls

Call 1

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

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:

129.0ms	l
127.0ms	F
115.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
104.0ms	(*.f64 F F)
83.0ms	(*.f64 (PI.f64) l)

Results

Error	Segments	Branch
6.5b	3	`F`
0.4b	3	`l`
4.5b	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)`
6.8b	2	`(/.f64 1 (*.f64 F F))`
6.8b	2	`(*.f64 F F)`

Compiler

Compiled 1092 to 470 computations (57% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.4512744404274296e-10	58.070314846636016
0.0ms	-2.2693695833374134e+35	-9300119050284696000.0

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes282.0ms (2.3%)

Counts

38 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(/.f64 1 (/.f64 1 (*.f64 (PI.f64) l)))
(/.f64 1 (/.f64 (/.f64 1 l) (PI.f64)))
(/.f64 1 (/.f64 (/.f64 1 (PI.f64)) l))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(neg.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(/.f64 l (*.f64 (neg.f64 F) (/.f64 F (PI.f64))))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(/.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 F))
(.f64 l (.f64 (/.f64 -1 (*.f64 F F)) (PI.f64)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.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 l (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) F) (/.f64 1 F))))
(.f64 l (-.f64 (PI.f64) (/.f64 1 (.f64 F (/.f64 F (PI.f64))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 1 F) (/.f64 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 l (PI.f64)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
(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))
(/.f64 1 (pow.f64 (pow.f64 (*.f64 (PI.f64) l) -1/2) 2))
(/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)))
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (PI.f64) l))) 3))
(.f64 l (-.f64 (PI.f64) (pow.f64 (.f64 (/.f64 F (PI.f64)) F) -1)))
(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:

83.0ms	(*.f64 (PI.f64) l)
70.0ms	(*.f64 F F)
48.0ms	l
44.0ms	F
20.0ms	(/.f64 1 (*.f64 F F))

Results

Error	Segments	Branch
6.5b	3	`F`
0.5b	3	`l`
0.5b	3	`(*.f64 (PI.f64) l)`
6.8b	2	`(/.f64 1 (*.f64 F F))`
6.8b	2	`(*.f64 F F)`

Compiler

Compiled 356 to 157 computations (55.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.4512744404274296e-10	58.070314846636016
0.0ms	-2.2693695833374134e+35	-9300119050284696000.0

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes207.0ms (1.7%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

4 calls:

97.0ms	(*.f64 F F)
59.0ms	l
27.0ms	(*.f64 (PI.f64) l)
19.0ms	F

Results

Error	Segments	Branch
10.5b	2	`F`
2.8b	3	`l`
2.8b	3	`(*.f64 (PI.f64) l)`
8.5b	6	`(*.f64 F F)`

Compiler

Compiled 190 to 92 computations (51.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.4512744404274296e-10	58.070314846636016
0.0ms	-2.2693695833374134e+35	-9300119050284696000.0

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes140.0ms (1.1%)

Counts

14 → 7

Calls

Call 1

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

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

Calls

4 calls:

51.0ms	(*.f64 F F)
35.0ms	l
30.0ms	(*.f64 (PI.f64) l)
22.0ms	F

Results

Error	Segments	Branch
10.8b	3	`F`
11.0b	3	`l`
11.0b	3	`(*.f64 (PI.f64) l)`
8.4b	7	`(*.f64 F F)`

Compiler

Compiled 122 to 62 computations (49.2% saved)

bsearch1.0ms (0%)

Algorithm

6×	left-value

Steps

Time	Left	Right
0.0ms	4.810456636638559e-60	1.5832365112122783e-58
0.0ms	1.2022830504581819e-85	5.254580748050994e-83
0.0ms	4.28291490420627e-152	2.9664679674622166e-142
0.0ms	2.0063470094641114e-212	3.5309050498964473e-202
0.0ms	6.77978769934531e-246	6.994731542008965e-236
0.0ms	5.973560465409257e-292	2.6339865968585635e-290

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes194.0ms (1.6%)

Counts

12 → 7

Calls

Call 1

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

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

Calls

4 calls:

84.0ms	(*.f64 F F)
53.0ms	F
27.0ms	l
25.0ms	(*.f64 (PI.f64) l)

Results

Error	Segments	Branch
10.8b	3	`F`
11.0b	3	`l`
11.0b	3	`(*.f64 (PI.f64) l)`
8.4b	7	`(*.f64 F F)`

Compiler

Compiled 105 to 56 computations (46.7% saved)

bsearch1.0ms (0%)

Algorithm

6×	left-value

Steps

Time	Left	Right
0.0ms	4.810456636638559e-60	1.5832365112122783e-58
0.0ms	1.2022830504581819e-85	5.254580748050994e-83
0.0ms	4.28291490420627e-152	2.9664679674622166e-142
0.0ms	2.0063470094641114e-212	3.5309050498964473e-202
0.0ms	6.77978769934531e-246	6.994731542008965e-236
0.0ms	5.973560465409257e-292	2.6339865968585635e-290

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes97.0ms (0.8%)

Counts

11 → 7

Calls

Call 1

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

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

Calls

4 calls:

30.0ms	(*.f64 F F)
24.0ms	(*.f64 (PI.f64) l)
23.0ms	l
17.0ms	F

Results

Error	Segments	Branch
10.8b	3	`F`
11.0b	3	`l`
11.0b	3	`(*.f64 (PI.f64) l)`
8.4b	7	`(*.f64 F F)`

Compiler

Compiled 97 to 54 computations (44.3% saved)

bsearch1.0ms (0%)

Algorithm

6×	left-value

Steps

Time	Left	Right
0.0ms	4.810456636638559e-60	1.5832365112122783e-58
0.0ms	1.2022830504581819e-85	5.254580748050994e-83
0.0ms	4.28291490420627e-152	2.9664679674622166e-142
0.0ms	2.0063470094641114e-212	3.5309050498964473e-202
0.0ms	6.77978769934531e-246	6.994731542008965e-236
0.0ms	5.973560465409257e-292	2.6339865968585635e-290

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes143.0ms (1.1%)

Counts

8 → 7

Calls

Call 1

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

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

Calls

4 calls:

76.0ms	l
26.0ms	(*.f64 (PI.f64) l)
24.0ms	(*.f64 F F)
14.0ms	F

Results

Error	Segments	Branch
10.8b	3	`F`
11.0b	3	`l`
11.0b	3	`(*.f64 (PI.f64) l)`
8.4b	7	`(*.f64 F F)`

Compiler

Compiled 73 to 45 computations (38.4% saved)

bsearch1.0ms (0%)

Algorithm

6×	left-value

Steps

Time	Left	Right
0.0ms	4.810456636638559e-60	1.5832365112122783e-58
0.0ms	1.2022830504581819e-85	5.254580748050994e-83
0.0ms	4.28291490420627e-152	2.9664679674622166e-142
0.0ms	2.0063470094641114e-212	3.5309050498964473e-202
0.0ms	6.77978769934531e-246	6.994731542008965e-236
0.0ms	5.973560465409257e-292	2.6339865968585635e-290

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes91.0ms (0.7%)

Counts

6 → 7

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	F
23.0ms	(*.f64 F F)
12.0ms	(*.f64 (PI.f64) l)
11.0ms	l

Results

Error	Segments	Branch
10.8b	3	`F`
11.1b	3	`l`
11.1b	3	`(*.f64 (PI.f64) l)`
8.4b	7	`(*.f64 F F)`

Compiler

Compiled 57 to 38 computations (33.3% saved)

bsearch268.0ms (2.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
25.0ms	4.810456636638559e-60	1.5832365112122783e-58
37.0ms	1.2022830504581819e-85	5.254580748050994e-83
71.0ms	4.28291490420627e-152	2.9664679674622166e-142
50.0ms	2.0063470094641114e-212	3.5309050498964473e-202
47.0ms	6.77978769934531e-246	6.994731542008965e-236
37.0ms	5.973560465409257e-292	2.6339865968585635e-290

Results

181.0ms	357×	body	1024	valid
55.0ms	421×	body	256	valid
22.0ms	54×	body	512	valid

Compiler

Compiled 981 to 818 computations (16.6% saved)

regimes18.0ms (0.1%)

Accuracy

Total -16.0b remaining (-120.5%)

Threshold costs -16.0b (-120.5%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	(*.f64 (PI.f64) l)
4.0ms	F
4.0ms	l

Results

Error	Segments	Branch
13.3b	1	`F`
13.3b	1	`l`
13.3b	1	`(*.f64 (PI.f64) l)`

Compiler

Compiled 44 to 31 computations (29.5% saved)

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative`
42×	`+-commutative`
32×	`sub-neg`
30×	`neg-mul-1`
30×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	1445
1	143	1445
2	185	1445
3	212	1445
4	226	1445
5	231	1445
6	232	1445

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) -199999999999999993726732215835951104) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7737125245533627/19342813113834066795298816) (-.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) -199999999999999993726732215835951104) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7737125245533627/19342813113834066795298816) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) -199999999999999993726732215835951104) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7737125245533627/19342813113834066795298816) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) (.f64 l (PI.f64))))
(if (<=.f64 (.f64 F F) 5617791046444737/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 615015778615681/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808) (/.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 F)) (if (<=.f64 (.f64 F F) 7580654747562055/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 2948408144391829/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F)) (if (<=.f64 (.f64 F F) 3499601159652819/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (*.f64 l (PI.f64))))))))
(if (<=.f64 (.f64 F F) 5617791046444737/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 615015778615681/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (if (<=.f64 (.f64 F F) 7580654747562055/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 2948408144391829/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F)) (if (<=.f64 (.f64 F F) 3499601159652819/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (.f64 l (PI.f64))))))))
(if (<=.f64 (.f64 F F) 5617791046444737/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 615015778615681/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (if (<=.f64 (.f64 F F) 7580654747562055/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 2948408144391829/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F))) (if (<=.f64 (.f64 F F) 3499601159652819/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (.f64 l (PI.f64))))))))
(if (<=.f64 (.f64 F F) 5617791046444737/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 615015778615681/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (if (<=.f64 (.f64 F F) 7580654747562055/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 2948408144391829/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (neg.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (if (<=.f64 (.f64 F F) 3499601159652819/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (.f64 l (PI.f64))))))))
(if (<=.f64 (.f64 F F) 4388899255034951/175555970201398037864189960037990696642380564349834626243584063630598316216309534309285622385163609395625111210811907575838661883607828732903171318983861449587663958422720200465138886329341888788528401320395513446131006525725061407689368272012526598792334483090416306874948482361796597953940777665648656384) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 6630638863200311/1921924308174003258872616370050369756495810455948672905389542244035233680030523317234537010836564833497229828911284598430510768810573374275010933992099815720970170092183271059798176857571621225553914820586983072295508566795439261982531741155133337002515103744) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (if (<=.f64 (.f64 F F) 3088765267337113/22062609052407949194914912829723655182432452436340449411589077584864795549696863280514640007775234351335139574205343723266588256764674929278332446003804266456490594464708719691973688066349246310341854370928394768482304) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 911645129265345/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (if (<=.f64 (.f64 F F) 4549481507548665/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 8865331832232021/1809251394333065553493296640760748560207343510400633813116524750123642650624) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (*.f64 l (PI.f64))))))))
(*.f64 l (PI.f64))

Outputs
(if (<=.f64 (.f64 (PI.f64) l) -199999999999999993726732215835951104) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7737125245533627/19342813113834066795298816) (-.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) -199999999999999993726732215835951104) (not (<=.f64 (.f64 (PI.f64) l) 7737125245533627/19342813113834066795298816))) (.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) -199999999999999993726732215835951104) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7737125245533627/19342813113834066795298816) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (or (<=.f64 (.f64 (PI.f64) l) -199999999999999993726732215835951104) (not (<=.f64 (.f64 (PI.f64) l) 7737125245533627/19342813113834066795298816))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(if (<=.f64 (.f64 (PI.f64) l) -199999999999999993726732215835951104) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7737125245533627/19342813113834066795298816) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) (.f64 l (PI.f64))))
(if (or (<=.f64 (.f64 (PI.f64) l) -199999999999999993726732215835951104) (not (<=.f64 (.f64 (PI.f64) l) 7737125245533627/19342813113834066795298816))) (.f64 (PI.f64) l) (.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(if (<=.f64 (.f64 F F) 5617791046444737/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 615015778615681/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808) (/.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 F)) (if (<=.f64 (.f64 F F) 7580654747562055/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 2948408144391829/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F)) (if (<=.f64 (.f64 F F) 3499601159652819/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (*.f64 l (PI.f64))))))))
(if (<=.f64 (.f64 F F) 5617791046444737/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288) (+.f64 (+.f64 (.f64 (PI.f64) l) 1) -1) (if (<=.f64 (.f64 F F) 615015778615681/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808) (/.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 F)) (if (<=.f64 (.f64 F F) 7580654747562055/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968) (+.f64 (+.f64 (.f64 (PI.f64) l) 1) -1) (if (<=.f64 (.f64 F F) 2948408144391829/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (/.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 F F)) (if (<=.f64 (.f64 F F) 3499601159652819/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (+.f64 (+.f64 (.f64 (PI.f64) l) 1) -1) (if (<=.f64 (.f64 F F) 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664) (/.f64 (neg.f64 l) (/.f64 (.f64 F F) (PI.f64))) (*.f64 (PI.f64) l)))))))
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(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

Compiler

Compiled 521 to 254 computations (51.2% saved)

soundness77.0ms (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)

end392.0ms (3.1%)

Compiler: Compiled 505 to 200 computations (60.4% saved)