Details

analyze326.0ms (3%)

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)

sample2.7s (24.5%)

Results

985.0ms	1001×	body	2048	valid
733.0ms	1913×	body	1024	valid
638.0ms	4588×	body	256	valid
173.0ms	724×	body	512	valid
102.0ms	30×	body	4096	valid
39.0ms	303×	body	256	infinite
3.0ms	5×	body	2048	infinite
2.0ms	4×	body	8192	exit

Bogosity

preprocess206.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

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)))

eval0.0ms (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

16.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	16.4b	(-.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)
✓	0.4b	(/.f64 1 (*.f64 F F))
✓	5.8b	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	32.1b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series8.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	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)))

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 233

Calls

Call 1

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

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

simplify138.0ms (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))

localize11.0ms (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)
✓	5.5b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	32.1b	(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	F	@	inf	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

rewrite99.0ms (0.9%)

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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simplify171.0ms (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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eval257.0ms (2.3%)

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

prune169.0ms (1.5%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	659	22	681
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	661	22	683

Error

0.4b

Counts

683 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	17.1b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (cbrt.f64 (.f64 (PI.f64) l)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	43.5b	(/.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))))))
	54.3b	(/.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)))))
	49.1b	(/.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))))))
▶	43.4b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
	55.5b	(/.f64 (.f64 (sqrt.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)) (neg.f64 (pow.f64 F -2)))))) (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	55.9b	(/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
	39.3b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	16.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	10.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
▶	10.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	10.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 -1 F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
	22.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
	10.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	17.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	16.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (neg.f64 (/.f64 (/.f64 -1 F) F)) (tan.f64 (*.f64 (PI.f64) l))))
	40.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
	21.9b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
▶	45.6b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	43.4b	(.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))))
	22.8b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
▶	12.4b	(*.f64 l (PI.f64))

Compiler

Compiled 976 to 596 computations (38.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
✓	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.3b	(*.f64 (PI.f64) l)
	32.1b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 38 to 8 computations (78.9% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1752×	`associate-*r/`
1620×	`associate-/r*`
1532×	`associate-*l/`
1414×	`associate-/l*`
236×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	227	44
2	2997	44

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1338×	`associate-/r*`
1004×	`*-commutative`
864×	`associate-/l/`
734×	`associate-/r/`
716×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	4706
1	684	4510
2	3061	4466

Stop Event

1×	node limit

Counts

116 → 125

Calls

Call 1

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

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

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))

rewrite62.0ms (0.6%)

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 (0.6%)

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))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
✓	0.2b	(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
	0.3b	(*.f64 (PI.f64) l)
	32.1b	(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)))
0.0ms	l	@	-inf	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
0.0ms	l	@	inf	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
0.0ms	F	@	0	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
0.0ms	F	@	-inf	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1868×	`associate-/l*`
860×	`associate-/r/`
726×	`associate-/l/`
340×	`distribute-lft-neg-in`
302×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	270	44
2	3544	44

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

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

simplify103.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1464×	`distribute-rgt-in`
1450×	`distribute-lft-in`
600×	`associate-r`
596×	`*-commutative`
492×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	7214
1	1183	6862
2	4990	6860

Stop Event

1×	node limit

Counts

174 → 195

Calls

Call 1

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

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

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) l)
	5.5b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	32.1b	(tan.f64 (*.f64 (PI.f64) l))
✓	41.6b	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))

Compiler

Compiled 50 to 17 computations (66% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1652×	`add-sqr-sqrt`
1622×	`*-un-lft-identity`
1522×	`add-cube-cbrt`
1506×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	9
1	205	9
2	2186	9

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

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

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1586×	`associate-r`
1372×	`associate-l`
920×	`associate-+r+`
878×	`associate-+l+`
524×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	452
1	189	452
2	591	452
3	3872	452

Stop Event

1×	node limit

Counts

44 → 37

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

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.7b	(/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))
✓	5.8b	(.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))
	32.1b	(tan.f64 (*.f64 (PI.f64) l))
✓	35.9b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))

Compiler

Compiled 105 to 49 computations (53.3% saved)

series69.0ms (0.6%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
52.0ms	l	@	0	(.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))
6.0ms	l	@	0	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
4.0ms	F	@	0	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
1.0ms	l	@	inf	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
1.0ms	l	@	-inf	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))

rewrite113.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`associate-/l/`
650×	`associate-/r/`
486×	`add-sqr-sqrt`
474×	`*-un-lft-identity`
466×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	147
1	479	147
2	6327	147

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

Inputs

(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))

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

(/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))

Outputs

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simplify236.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

938×	`associate-r`
878×	`+-commutative`
828×	`associate-+r+`
754×	`associate-l`
704×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	505	17260
1	1517	16432
2	7292	16432

Stop Event

1×	node limit

Counts

192 → 223

Calls

Call 1

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

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

eval644.0ms (5.9%)

Compiler: Compiled 38491 to 18593 computations (51.7% saved)

prune331.0ms (3%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1093	19	1112
Fresh	10	7	17
Picked	1	0	1
Done	2	2	4
Total	1106	28	1134

Error

0.3b

Counts

1134 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	38.4b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
	13.3b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	43.7b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 l (PI.f64)) 2) (.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2) (pow.f64 F -4)))) 2) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 l (PI.f64) (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (.f64 l (PI.f64)) 2) (.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2) (pow.f64 F -4))) (fma.f64 l (PI.f64) (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))))))
	49.1b	(/.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))))))
	43.5b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (expm1.f64 (log1p.f64 (.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F -4))))) (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
	55.5b	(/.f64 (.f64 (sqrt.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)) (neg.f64 (pow.f64 F -2)))))) (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	26.2b	(/.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (+.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (PI.f64)))
	55.9b	(/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
	27.8b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	16.9b	(-.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (cbrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	16.9b	(-.f64 (.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	16.9b	(-.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	39.3b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
▶	17.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
✓	10.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	17.1b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
	17.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
▶	10.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l))) F))
▶	10.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	17.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	40.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
	17.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F)))
	21.7b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
▶	27.8b	(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
	22.8b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	12.4b	(*.f64 l (PI.f64))
	40.5b	(exp.f64 (log.f64 (*.f64 l (PI.f64))))
	47.9b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 1017 to 652 computations (35.9% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (/.f64 1 F) (tan.f64 (.f64 (PI.f64) l))) F)
	0.3b	(*.f64 (PI.f64) l)
✓	0.3b	(.f64 (/.f64 1 F) (tan.f64 (.f64 (PI.f64) l)))
	32.1b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 48 to 20 computations (58.3% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1798×	`associate-/r*`
1602×	`associate-/l*`
588×	`associate-/l/`
524×	`associate-/r/`
264×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	262	44
2	3326	44

Stop Event

1×	node limit

Counts

2 → 165

Calls

Call 1

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

Outputs

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

simplify158.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

854×	`distribute-rgt-in`
852×	`distribute-lft-in`
664×	`associate-/l*`
542×	`associate-/r*`
464×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	496	8333
1	1297	8093
2	5030	8049

Stop Event

1×	node limit

Counts

213 → 253

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(*.f64 l (PI.f64))
✓	1.2b	(+.f64 1 (-.f64 (*.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 1 (-.f64 (*.f64 l (PI.f64)) 1))
0.0ms	l	@	inf	(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
0.0ms	l	@	-inf	(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))

rewrite59.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1852×	`add-sqr-sqrt`
1836×	`*-un-lft-identity`
1712×	`add-cube-cbrt`
1698×	`add-cbrt-cube`
198×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	195	9
2	2575	9

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1158×	`associate-/r*`
692×	`associate--r+`
568×	`*-commutative`
544×	`associate--l+`
518×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1173
1	285	1129
2	956	1055
3	3788	1055

Stop Event

1×	node limit

Counts

59 → 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 (*.f64 l (PI.f64)) 0)
(-.f64 (fma.f64 l (PI.f64) 1) 1)
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 l (PI.f64) -1))) (/.f64 (pow.f64 (fma.f64 l (PI.f64) -1) 2) (-.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 (.f64 l (PI.f64))) (.f64 (sqrt.f64 (.f64 l (PI.f64))) 1))
(.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 (.f64 l (PI.f64))) 2) (.f64 (cbrt.f64 (.f64 l (PI.f64))) 1))
(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 2)) (/.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 1 (-.f64 (pow.f64 (fma.f64 l (PI.f64) -1) 2) (fma.f64 l (PI.f64) -1)))))
(.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 1 (/.f64 (-.f64 1 (fma.f64 l (PI.f64) -1)) (-.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 2))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 l (PI.f64) -1) 2) (fma.f64 l (PI.f64) -1))) (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 2)) (-.f64 1 (fma.f64 l (PI.f64) -1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 l (PI.f64) -1) 2) (fma.f64 l (PI.f64) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) -1) 2) (-.f64 1 (fma.f64 l (PI.f64) -1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 l (PI.f64) -1) 2) 1) (-.f64 (fma.f64 l (PI.f64) -1) 1))
(/.f64 (-.f64 (*.f64 (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 1)) 1) (+.f64 (fma.f64 l (PI.f64) 1) 1))
(/.f64 (-.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) 1) (+.f64 (*.f64 (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 1)) (+.f64 1 (fma.f64 l (PI.f64) 1))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 2))) (neg.f64 (-.f64 1 (fma.f64 l (PI.f64) -1))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 l (PI.f64) -1) 2) (fma.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 (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 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(-.f64 (fma.f64 l (PI.f64) 1) 1)
(*.f64 l (PI.f64))
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 l (PI.f64) -1))) (/.f64 (pow.f64 (fma.f64 l (PI.f64) -1) 2) (-.f64 1 (fma.f64 l (PI.f64) -1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 2)) (-.f64 1 (fma.f64 l (PI.f64) -1)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) -1) 2)) (fma.f64 l (PI.f64) -2))
(.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 (.f64 l (PI.f64))) (.f64 (sqrt.f64 (.f64 l (PI.f64))) 1))
(*.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 (.f64 l (PI.f64))) 2) (.f64 (cbrt.f64 (.f64 l (PI.f64))) 1))
(*.f64 l (PI.f64))
(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 2)) (/.f64 1 (-.f64 1 (fma.f64 l (PI.f64) -1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 2)) (-.f64 1 (fma.f64 l (PI.f64) -1)))
(/.f64 (+.f64 -1 (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 1 (-.f64 (pow.f64 (fma.f64 l (PI.f64) -1) 2) (fma.f64 l (PI.f64) -1)))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 2)) (fma.f64 l (PI.f64) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (-.f64 (pow.f64 (fma.f64 l (PI.f64) -1) 2) (+.f64 (*.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 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 1 (/.f64 (-.f64 1 (fma.f64 l (PI.f64) -1)) (-.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 2)) (-.f64 1 (fma.f64 l (PI.f64) -1)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) -1) 2)) (fma.f64 l (PI.f64) -2))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 l (PI.f64) -1) 2) (fma.f64 l (PI.f64) -1))) (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 2)) (fma.f64 l (PI.f64) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (-.f64 (pow.f64 (fma.f64 l (PI.f64) -1) 2) (+.f64 (*.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) 2)) (-.f64 1 (fma.f64 l (PI.f64) -1)))
(/.f64 (+.f64 -1 (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 (pow.f64 (fma.f64 l (PI.f64) -1) 2) (fma.f64 l (PI.f64) -1))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 2)) (fma.f64 l (PI.f64) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (-.f64 (pow.f64 (fma.f64 l (PI.f64) -1) 2) (+.f64 (*.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)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) -1) 2) (-.f64 1 (fma.f64 l (PI.f64) -1))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 2)) (fma.f64 l (PI.f64) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (-.f64 (pow.f64 (fma.f64 l (PI.f64) -1) 2) (+.f64 (*.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 (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) -1)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) -1) 2)) (fma.f64 l (PI.f64) -2))
(/.f64 (-.f64 (*.f64 (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 1)) 1) (+.f64 (fma.f64 l (PI.f64) 1) 1))
(/.f64 (fma.f64 (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 1) -1) (+.f64 1 (fma.f64 l (PI.f64) 1)))
(/.f64 (.f64 (.f64 l (PI.f64)) (+.f64 (.f64 l (PI.f64)) 2)) (+.f64 (.f64 l (PI.f64)) 2))
(.f64 (/.f64 (fma.f64 l (PI.f64) 2) (fma.f64 l (PI.f64) 2)) (.f64 l (PI.f64)))
(.f64 (.f64 l (PI.f64)) (/.f64 (fma.f64 l (PI.f64) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) 1) (+.f64 (*.f64 (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 1)) (+.f64 1 (fma.f64 l (PI.f64) 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (fma.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)) (fma.f64 (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 1) (+.f64 (*.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 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 2))) (neg.f64 (-.f64 1 (fma.f64 l (PI.f64) -1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 2)) (-.f64 1 (fma.f64 l (PI.f64) -1)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) -1) 2)) (fma.f64 l (PI.f64) -2))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 l (PI.f64) -1) 2) (fma.f64 l (PI.f64) -1)))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 2)) (fma.f64 l (PI.f64) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (-.f64 (pow.f64 (fma.f64 l (PI.f64) -1) 2) (+.f64 (*.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))))
(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))

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 34 to 8 computations (76.5% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite107.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1036×	`*-commutative`
746×	`unswap-sqr`
688×	`swap-sqr`
568×	`associate-/r/`
538×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	189	36
2	2658	36

Stop Event

1×	node limit

Counts

2 → 177

Calls

Call 1

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

Outputs

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

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1324×	`associate-/r/`
936×	`distribute-lft-neg-out`
816×	`distribute-rgt-neg-out`
588×	`associate-r`
580×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	383	5205
1	1017	4849
2	4201	4849

Stop Event

1×	node limit

Counts

201 → 215

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 (exp.f64 (log1p.f64 (*.f64 l (/.f64 (PI.f64) F)))) -1)
(-.f64 0 (*.f64 (/.f64 (neg.f64 l) F) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 l (/.f64 (PI.f64) F)))) 1)
(*.f64 l (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 (PI.f64) (/.f64 1 (/.f64 F l)))
(.f64 (.f64 l (PI.f64)) (/.f64 1 F))
(.f64 (.f64 l (PI.f64)) (neg.f64 (/.f64 -1 F)))
(.f64 (.f64 l (/.f64 (PI.f64) F)) 1)
(.f64 1 (.f64 l (/.f64 (PI.f64) F)))
(.f64 (sqrt.f64 (.f64 l (/.f64 (PI.f64) F))) (sqrt.f64 (*.f64 l (/.f64 (PI.f64) F))))
(.f64 (sqrt.f64 (.f64 l (/.f64 (PI.f64) F))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 l (/.f64 (PI.f64) F))))))
(.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F) (sqrt.f64 (*.f64 l (PI.f64))))
(.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F))
(.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 1 (/.f64 F (sqrt.f64 (*.f64 l (PI.f64))))))
(*.f64 (sqrt.f64 l) (/.f64 1 (/.f64 (/.f64 F (PI.f64)) (sqrt.f64 l))))
(.f64 (cbrt.f64 (.f64 l (/.f64 (PI.f64) F))) (pow.f64 (cbrt.f64 (*.f64 l (/.f64 (PI.f64) F))) 2))
(.f64 (cbrt.f64 (.f64 l (/.f64 (PI.f64) F))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 l (/.f64 (PI.f64) F))) 2) (cbrt.f64 (*.f64 l (/.f64 (PI.f64) F))))
(.f64 (pow.f64 (cbrt.f64 (.f64 l (/.f64 (PI.f64) F))) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 l (/.f64 (PI.f64) F))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (/.f64 (cbrt.f64 (*.f64 l (PI.f64))) F))
(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (/.f64 1 (/.f64 F (cbrt.f64 (*.f64 l (PI.f64))))))
(.f64 (pow.f64 (cbrt.f64 l) 2) (/.f64 1 (/.f64 F (.f64 (PI.f64) (cbrt.f64 l)))))
(.f64 (/.f64 1 F) (.f64 l (PI.f64)))
(.f64 (.f64 (PI.f64) (neg.f64 l)) (/.f64 -1 F))
(.f64 (sqrt.f64 (.f64 (/.f64 (neg.f64 l) F) (PI.f64))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 l) F) (PI.f64)))))
(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (neg.f64 l) F) (PI.f64))) (cbrt.f64 (.f64 (/.f64 (neg.f64 l) F) (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 (/.f64 (neg.f64 l) F) (PI.f64)))))
(*.f64 (/.f64 l F) (PI.f64))
(.f64 (/.f64 (.f64 l (PI.f64)) (sqrt.f64 F)) (/.f64 1 (sqrt.f64 F)))
(.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 (cbrt.f64 F) 2)) (/.f64 1 (cbrt.f64 F)))
(.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (.f64 l (PI.f64)) (sqrt.f64 F)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (.f64 l (PI.f64)) (cbrt.f64 F)))
(*.f64 (/.f64 (PI.f64) F) l)
(*.f64 (/.f64 (PI.f64) (sqrt.f64 F)) (/.f64 l (sqrt.f64 F)))
(*.f64 (/.f64 (PI.f64) (cbrt.f64 F)) (/.f64 l (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 (.f64 l (PI.f64)) (cbrt.f64 F)) (/.f64 1 (pow.f64 (cbrt.f64 F) 2)))
(.f64 -1 (.f64 (/.f64 (neg.f64 l) F) (PI.f64)))
(.f64 (neg.f64 (sqrt.f64 (.f64 l (/.f64 (PI.f64) F)))) (neg.f64 (sqrt.f64 (*.f64 l (/.f64 (PI.f64) F)))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 l (/.f64 (PI.f64) F))) 2)) (neg.f64 (cbrt.f64 (*.f64 l (/.f64 (PI.f64) F)))))
(*.f64 (neg.f64 l) (/.f64 1 (/.f64 (neg.f64 F) (PI.f64))))
(.f64 (/.f64 -1 F) (.f64 (PI.f64) (neg.f64 l)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) F) (cbrt.f64 (*.f64 l (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (.f64 l (PI.f64))) F) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (/.f64 l (sqrt.f64 F)) (/.f64 (PI.f64) (sqrt.f64 F)))
(*.f64 (/.f64 l (pow.f64 (cbrt.f64 F) 2)) (/.f64 (PI.f64) (cbrt.f64 F)))
(*.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 F) 2)) (/.f64 l (cbrt.f64 F)))
(*.f64 (/.f64 l (cbrt.f64 F)) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) (cbrt.f64 F)))
(.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) (cbrt.f64 F)) (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (sqrt.f64 F)) (/.f64 (cbrt.f64 (*.f64 l (PI.f64))) (sqrt.f64 F)))
(.f64 (/.f64 (cbrt.f64 (.f64 l (PI.f64))) (sqrt.f64 F)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (sqrt.f64 F)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (*.f64 l (/.f64 (PI.f64) F))))
(*.f64 (/.f64 l (neg.f64 F)) (neg.f64 (PI.f64)))
(*.f64 (/.f64 l (/.f64 F (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 l (/.f64 F (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 1 (/.f64 F l)) (PI.f64))
(.f64 (/.f64 1 (/.f64 F (sqrt.f64 (.f64 l (PI.f64))))) (sqrt.f64 (*.f64 l (PI.f64))))
(.f64 (/.f64 1 (/.f64 F (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2))) (cbrt.f64 (*.f64 l (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 l) (/.f64 F (PI.f64))) (sqrt.f64 l))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) (/.f64 F (PI.f64))) (cbrt.f64 l))
(.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 (neg.f64 l) F) (PI.f64)))) (sqrt.f64 (*.f64 (/.f64 (neg.f64 l) F) (PI.f64))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (neg.f64 l) F) (PI.f64))) (cbrt.f64 (.f64 (/.f64 (neg.f64 l) F) (PI.f64))))) (cbrt.f64 (*.f64 (/.f64 (neg.f64 l) F) (PI.f64))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 l (/.f64 (PI.f64) F))))) (sqrt.f64 (*.f64 l (/.f64 (PI.f64) F))))
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(.f64 (pow.f64 (cbrt.f64 (.f64 l (/.f64 (PI.f64) F))) 3/2) (pow.f64 (cbrt.f64 (*.f64 l (/.f64 (PI.f64) F))) 3/2))
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(pow.f64 (pow.f64 (*.f64 l (/.f64 (PI.f64) F)) 3) 1/3)
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(neg.f64 (*.f64 (/.f64 (neg.f64 l) F) (PI.f64)))
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(neg.f64 (/.f64 (*.f64 (/.f64 (neg.f64 l) F) (PI.f64)) 1))
(sqrt.f64 (pow.f64 (*.f64 l (/.f64 (PI.f64) F)) 2))
(log.f64 (exp.f64 (*.f64 l (/.f64 (PI.f64) F))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 l (/.f64 (PI.f64) F)))))
(cbrt.f64 (pow.f64 (*.f64 l (/.f64 (PI.f64) F)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 l (PI.f64)) 3) (pow.f64 F 3)))
(expm1.f64 (log1p.f64 (*.f64 l (/.f64 (PI.f64) F))))
(exp.f64 (log.f64 (*.f64 l (/.f64 (PI.f64) F))))
(log1p.f64 (expm1.f64 (*.f64 l (/.f64 (PI.f64) F))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64)))) -1)
(-.f64 0 (/.f64 (PI.f64) (*.f64 (neg.f64 F) (/.f64 F l))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64)))) 1)
(.f64 l (/.f64 1 (.f64 F (/.f64 F (PI.f64)))))
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(.f64 (PI.f64) (/.f64 1 (/.f64 (.f64 F F) l)))
(.f64 (.f64 l (PI.f64)) (pow.f64 F -2))
(.f64 (.f64 l (/.f64 (PI.f64) F)) (/.f64 1 F))
(.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64)) 1)
(.f64 1 (.f64 (/.f64 (/.f64 l F) F) (PI.f64)))
(.f64 (sqrt.f64 (.f64 l (/.f64 (PI.f64) F))) (/.f64 (sqrt.f64 (*.f64 l (/.f64 (PI.f64) F))) F))
(.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F) (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F))
(.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 1 (/.f64 (.f64 F F) (sqrt.f64 (.f64 l (PI.f64))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 l (/.f64 (PI.f64) F))) 2) (/.f64 (cbrt.f64 (*.f64 l (/.f64 (PI.f64) F))) F))
(.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 4)))
(.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 l (/.f64 (PI.f64) F))) 2) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F) 4)) (cbrt.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (/.f64 1 (/.f64 (.f64 F F) (cbrt.f64 (.f64 l (PI.f64))))))
(.f64 (/.f64 1 F) (.f64 l (/.f64 (PI.f64) F)))
(.f64 (.f64 (/.f64 (neg.f64 l) F) (PI.f64)) (/.f64 -1 F))
(.f64 (.f64 (PI.f64) (neg.f64 l)) (/.f64 1 (*.f64 F (neg.f64 F))))
(.f64 (pow.f64 F -2) (.f64 l (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 (/.f64 (PI.f64) (.f64 (sqrt.f64 F) (/.f64 F l))) (/.f64 1 (sqrt.f64 F)))
(.f64 (/.f64 (PI.f64) (.f64 (pow.f64 (cbrt.f64 F) 2) (/.f64 F l))) (/.f64 1 (cbrt.f64 F)))
(.f64 (/.f64 (.f64 l (PI.f64)) (sqrt.f64 F)) (/.f64 1 (*.f64 F (sqrt.f64 F))))
(.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (/.f64 1 F) (cbrt.f64 F)))
(.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (PI.f64) (.f64 (sqrt.f64 F) (/.f64 F l))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (.f64 l (PI.f64)) (*.f64 F (cbrt.f64 F))))
(.f64 (/.f64 (.f64 l (PI.f64)) (*.f64 F (cbrt.f64 F))) (/.f64 1 (pow.f64 (cbrt.f64 F) 2)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(.f64 -1 (/.f64 (PI.f64) (.f64 (neg.f64 F) (/.f64 F l))))
(.f64 (/.f64 -1 F) (.f64 (/.f64 (neg.f64 l) F) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) F) (/.f64 (cbrt.f64 (*.f64 l (PI.f64))) F))
(.f64 (/.f64 (cbrt.f64 (.f64 l (PI.f64))) F) (/.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) F))
(.f64 (/.f64 1 (.f64 F (sqrt.f64 F))) (/.f64 (*.f64 l (PI.f64)) (sqrt.f64 F)))
(.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)) (/.f64 (.f64 l (PI.f64)) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 l (/.f64 (PI.f64) F))) F) (sqrt.f64 (*.f64 l (/.f64 (PI.f64) F))))
(.f64 (/.f64 (sqrt.f64 (.f64 l (/.f64 (PI.f64) F))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (sqrt.f64 (*.f64 l (/.f64 (PI.f64) F))) (cbrt.f64 F)))
(.f64 (/.f64 (sqrt.f64 (.f64 l (/.f64 (PI.f64) F))) (cbrt.f64 F)) (/.f64 (sqrt.f64 (*.f64 l (/.f64 (PI.f64) F))) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 l (/.f64 (PI.f64) F))) F) (pow.f64 (cbrt.f64 (*.f64 l (/.f64 (PI.f64) F))) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 l (/.f64 (PI.f64) F))) 2) (sqrt.f64 F)) (/.f64 (cbrt.f64 (*.f64 l (/.f64 (PI.f64) F))) (sqrt.f64 F)))
(.f64 (/.f64 (cbrt.f64 (.f64 l (/.f64 (PI.f64) F))) (sqrt.f64 F)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 l (/.f64 (PI.f64) F))) 2) (sqrt.f64 F)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 l (/.f64 (PI.f64) F))) 2) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64))))
(.f64 (/.f64 l (.f64 F F)) (PI.f64))
(.f64 (/.f64 (PI.f64) (.f64 F F)) l)
(.f64 (/.f64 1 (/.f64 F (pow.f64 (cbrt.f64 (.f64 l (/.f64 (PI.f64) F))) 2))) (cbrt.f64 (*.f64 l (/.f64 (PI.f64) F))))
(.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) (.f64 F F)) (sqrt.f64 (.f64 l (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 l (/.f64 (PI.f64) F))) 2) F) (cbrt.f64 (*.f64 l (/.f64 (PI.f64) F))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (.f64 F F)) (cbrt.f64 (.f64 l (PI.f64))))
(.f64 (/.f64 (/.f64 1 F) 1) (.f64 l (/.f64 (PI.f64) F)))
(.f64 (/.f64 (/.f64 1 F) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (.f64 l (PI.f64)) (cbrt.f64 F)))
(*.f64 (/.f64 (/.f64 1 F) (/.f64 F (PI.f64))) l)
(.f64 (/.f64 (/.f64 1 F) (neg.f64 F)) (.f64 (PI.f64) (neg.f64 l)))
(*.f64 (/.f64 (/.f64 1 F) (/.f64 F l)) (PI.f64))
(.f64 (/.f64 (/.f64 1 F) (/.f64 F (sqrt.f64 (.f64 l (PI.f64))))) (sqrt.f64 (*.f64 l (PI.f64))))
(.f64 (/.f64 (/.f64 1 F) (/.f64 F (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2))) (cbrt.f64 (*.f64 l (PI.f64))))
(*.f64 (/.f64 (/.f64 l F) F) (PI.f64))
(*.f64 (/.f64 (/.f64 l F) 1) (/.f64 (PI.f64) F))
(*.f64 (/.f64 (/.f64 l F) (sqrt.f64 F)) (/.f64 (PI.f64) (sqrt.f64 F)))
(*.f64 (/.f64 (/.f64 l F) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (PI.f64) (cbrt.f64 F)))
(*.f64 (/.f64 (/.f64 l F) (neg.f64 F)) (neg.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 l F) (/.f64 F (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 l F) (/.f64 F (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64)))) (cbrt.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64)))) (cbrt.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F) 4)))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 4)))))
(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64))) (sqrt.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64))))) (.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64)) 3) 1/6))
(.f64 (pow.f64 (.f64 F (/.f64 F (.f64 l (PI.f64)))) -1/2) (pow.f64 (.f64 F (/.f64 F (*.f64 l (PI.f64)))) -1/2))
(pow.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64)) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64)) 3) 1/3)
(pow.f64 (.f64 F (/.f64 F (.f64 l (PI.f64)))) -1)
(neg.f64 (/.f64 (PI.f64) (*.f64 (neg.f64 F) (/.f64 F l))))
(neg.f64 (.f64 (.f64 (/.f64 (neg.f64 l) F) (PI.f64)) (/.f64 1 F)))
(neg.f64 (.f64 (/.f64 (PI.f64) (.f64 (neg.f64 F) (/.f64 F l))) 1))
(neg.f64 (.f64 1 (/.f64 (PI.f64) (.f64 (neg.f64 F) (/.f64 F l)))))
(neg.f64 (.f64 (/.f64 1 F) (.f64 (/.f64 (neg.f64 l) F) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (/.f64 (neg.f64 l) F) (PI.f64)) F))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 4))
(log.f64 (exp.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 l (/.f64 (PI.f64) F)) 3) (pow.f64 F 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64))))
(exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64))))

Outputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.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 l (.f64 (PI.f64) (pow.f64 F -2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 l (/.f64 (PI.f64) F)))) -1)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(-.f64 0 (*.f64 (/.f64 (neg.f64 l) F) (PI.f64)))
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(-.f64 (exp.f64 (log1p.f64 (*.f64 l (/.f64 (PI.f64) F)))) 1)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(*.f64 l (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 1 (/.f64 F l)))
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(.f64 (.f64 l (PI.f64)) (/.f64 1 F))
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(.f64 (/.f64 (/.f64 1 F) (/.f64 F (sqrt.f64 (.f64 l (PI.f64))))) (sqrt.f64 (*.f64 l (PI.f64))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(.f64 (/.f64 (/.f64 1 F) (/.f64 F (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2))) (cbrt.f64 (*.f64 l (PI.f64))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 (/.f64 (/.f64 l F) F) (PI.f64))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 (/.f64 (/.f64 l F) 1) (/.f64 (PI.f64) F))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 (/.f64 (/.f64 l F) (sqrt.f64 F)) (/.f64 (PI.f64) (sqrt.f64 F)))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 F)) (PI.f64)) (.f64 (/.f64 F l) (sqrt.f64 F)))
(/.f64 (.f64 (PI.f64) (/.f64 l (sqrt.f64 F))) (.f64 F (sqrt.f64 F)))
(.f64 (/.f64 (PI.f64) (sqrt.f64 F)) (/.f64 l (.f64 F (sqrt.f64 F))))
(*.f64 (/.f64 (/.f64 l F) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (PI.f64) (cbrt.f64 F)))
(*.f64 (/.f64 1 (cbrt.f64 F)) (/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 F) 2)) (/.f64 F l)))
(*.f64 (/.f64 (/.f64 l F) (cbrt.f64 F)) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 F) 2)))
(*.f64 (/.f64 (PI.f64) (cbrt.f64 F)) (/.f64 (/.f64 l F) (pow.f64 (cbrt.f64 F) 2)))
(*.f64 (/.f64 (/.f64 l F) (neg.f64 F)) (neg.f64 (PI.f64)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(*.f64 (/.f64 (/.f64 l F) (/.f64 F (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 l (*.f64 F F)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 l (*.f64 F F))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (*.f64 l (pow.f64 F -2))))
(*.f64 (/.f64 (/.f64 l F) (/.f64 F (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (PI.f64)) (.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 F F))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 l (pow.f64 F -2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64)))) (cbrt.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64)))) (cbrt.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64)))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F) 4)))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 4)))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F)) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 4))))
(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64))) (sqrt.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64))))) (.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64))))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F) 4)))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 4)))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F)) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 4))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64))) 3/2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64)) 3) 1/6))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(.f64 (pow.f64 (.f64 F (/.f64 F (.f64 l (PI.f64)))) -1/2) (pow.f64 (.f64 F (/.f64 F (*.f64 l (PI.f64)))) -1/2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(pow.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64)) 1)
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 2)
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64))) 3)
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64)) 3) 1/3)
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(pow.f64 (.f64 F (/.f64 F (.f64 l (PI.f64)))) -1)
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 (neg.f64 F) (/.f64 F l))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(neg.f64 (.f64 (.f64 (/.f64 (neg.f64 l) F) (PI.f64)) (/.f64 1 F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(neg.f64 (.f64 (/.f64 (PI.f64) (.f64 (neg.f64 F) (/.f64 F l))) 1))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(neg.f64 (.f64 1 (/.f64 (PI.f64) (.f64 (neg.f64 F) (/.f64 F l)))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(neg.f64 (.f64 (/.f64 1 F) (.f64 (/.f64 (neg.f64 l) F) (PI.f64))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(neg.f64 (/.f64 (*.f64 (/.f64 (neg.f64 l) F) (PI.f64)) F))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 4))
(fabs.f64 (.f64 (PI.f64) (/.f64 l (.f64 F F))))
(fabs.f64 (.f64 l (.f64 (PI.f64) (pow.f64 F -2))))
(log.f64 (exp.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64)))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64)) 3))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 l (/.f64 (PI.f64) F)) 3) (pow.f64 F 3)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (.f64 (PI.f64) (pow.f64 F -2)))

localize40.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓	0.2b	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
	0.3b	(*.f64 (PI.f64) l)
	32.1b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 51 to 13 computations (74.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`associate-/l*`
964×	`associate-/r/`
902×	`swap-sqr`
452×	`associate-/l/`
404×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	268	25
2	3456	25

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

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

Outputs

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

simplify112.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1356×	`associate-*r/`
1210×	`associate-/r*`
1070×	`associate-*l/`
772×	`*-commutative`
592×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	3712
1	642	3570
2	2411	3522

Stop Event

1×	node limit

Counts

86 → 105

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 l) 2)
✓	0.6b	(cbrt.f64 l)
	5.5b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	32.1b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 61 to 19 computations (68.9% saved)

series4.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	l	@	inf	(pow.f64 (cbrt.f64 l) 2)
0.0ms	l	@	-inf	(pow.f64 (cbrt.f64 l) 2)
0.0ms	l	@	0	(cbrt.f64 l)
0.0ms	l	@	-inf	(cbrt.f64 l)
0.0ms	l	@	0	(pow.f64 (cbrt.f64 l) 2)

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1116×	`add-sqr-sqrt`
1096×	`*-un-lft-identity`
1034×	`pow1`
1022×	`add-cube-cbrt`
1010×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	138	16
2	1494	16

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1494×	`associate-/l*`
1090×	`associate-r`
1018×	`*-commutative`
866×	`associate-l`
616×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	738
1	135	558
2	562	380
3	3107	374
4	6410	374

Stop Event

1×	node limit

Counts

36 → 47

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (cbrt.f64 l)) 1)
(+.f64 (+.f64 1 (cbrt.f64 l)) -1)
(+.f64 (cbrt.f64 l) 0)
(cbrt.f64 l)
(*.f64 (cbrt.f64 l) 1)
(+.f64 (+.f64 1 (cbrt.f64 l)) -1)
(+.f64 (cbrt.f64 l) 0)
(cbrt.f64 l)
(*.f64 1 (cbrt.f64 l))
(+.f64 (+.f64 1 (cbrt.f64 l)) -1)
(+.f64 (cbrt.f64 l) 0)
(cbrt.f64 l)
(*.f64 (pow.f64 l 1/6) (pow.f64 l 1/6))
(+.f64 (+.f64 1 (cbrt.f64 l)) -1)
(+.f64 (cbrt.f64 l) 0)
(cbrt.f64 l)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2) (cbrt.f64 (cbrt.f64 l)))
(+.f64 (+.f64 1 (cbrt.f64 l)) -1)
(+.f64 (cbrt.f64 l) 0)
(cbrt.f64 l)
(*.f64 (cbrt.f64 (cbrt.f64 l)) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2))
(+.f64 (+.f64 1 (cbrt.f64 l)) -1)
(+.f64 (cbrt.f64 l) 0)
(cbrt.f64 l)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 l (cbrt.f64 l)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 l (cbrt.f64 l)))) (fabs.f64 (cbrt.f64 (cbrt.f64 l))))
(.f64 (cbrt.f64 (cbrt.f64 l)) (sqrt.f64 (cbrt.f64 (.f64 l (cbrt.f64 l)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 l))
(+.f64 (+.f64 1 (cbrt.f64 l)) -1)
(+.f64 (cbrt.f64 l) 0)
(cbrt.f64 l)
(*.f64 (pow.f64 (sqrt.f64 l) 1/3) (pow.f64 (sqrt.f64 l) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 l)) (cbrt.f64 (sqrt.f64 l)))
(pow.f64 (pow.f64 (sqrt.f64 l) 1/6) 4)
(pow.f64 l 1/3)
(+.f64 (+.f64 1 (cbrt.f64 l)) -1)
(+.f64 (cbrt.f64 l) 0)
(cbrt.f64 l)
(pow.f64 (cbrt.f64 l) 1)
(+.f64 (+.f64 1 (cbrt.f64 l)) -1)
(+.f64 (cbrt.f64 l) 0)
(cbrt.f64 l)
(pow.f64 (pow.f64 (cbrt.f64 l) 2) 1/2)
(+.f64 (+.f64 1 (cbrt.f64 l)) -1)
(+.f64 (cbrt.f64 l) 0)
(cbrt.f64 l)
(pow.f64 (pow.f64 l 1/6) 2)
(+.f64 (+.f64 1 (cbrt.f64 l)) -1)
(+.f64 (cbrt.f64 l) 0)
(cbrt.f64 l)
(pow.f64 (cbrt.f64 (cbrt.f64 l)) 3)
(+.f64 (+.f64 1 (cbrt.f64 l)) -1)
(+.f64 (cbrt.f64 l) 0)
(cbrt.f64 l)
(sqrt.f64 (pow.f64 (cbrt.f64 l) 2))
(+.f64 (+.f64 1 (cbrt.f64 l)) -1)
(+.f64 (cbrt.f64 l) 0)
(cbrt.f64 l)
(fabs.f64 (cbrt.f64 l))
(+.f64 (+.f64 1 (cbrt.f64 l)) -1)
(+.f64 (cbrt.f64 l) 0)
(cbrt.f64 l)
(log.f64 (exp.f64 (cbrt.f64 l)))
(+.f64 (+.f64 1 (cbrt.f64 l)) -1)
(+.f64 (cbrt.f64 l) 0)
(cbrt.f64 l)
(expm1.f64 (log1p.f64 (cbrt.f64 l)))
(+.f64 (+.f64 1 (cbrt.f64 l)) -1)
(+.f64 (cbrt.f64 l) 0)
(cbrt.f64 l)
(exp.f64 (log.f64 (cbrt.f64 l)))
(+.f64 (+.f64 1 (cbrt.f64 l)) -1)
(+.f64 (cbrt.f64 l) 0)
(cbrt.f64 l)
(log1p.f64 (expm1.f64 (cbrt.f64 l)))
(+.f64 (+.f64 1 (cbrt.f64 l)) -1)
(+.f64 (cbrt.f64 l) 0)
(cbrt.f64 l)
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 l) 2)) 1)
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 l) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 l) 2) 0)
(pow.f64 (cbrt.f64 l) 2)
(*.f64 (cbrt.f64 l) (cbrt.f64 l))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 l) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 l) 2) 0)
(pow.f64 (cbrt.f64 l) 2)
(*.f64 (pow.f64 (cbrt.f64 l) 2) 1)
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 l) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 l) 2) 0)
(pow.f64 (cbrt.f64 l) 2)
(*.f64 1 (pow.f64 (cbrt.f64 l) 2))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 l) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 l) 2) 0)
(pow.f64 (cbrt.f64 l) 2)
(*.f64 (sqrt.f64 l) (pow.f64 l 1/6))
(*.f64 (pow.f64 l 1/6) (sqrt.f64 l))
(.f64 (pow.f64 l 1/6) (.f64 (pow.f64 l 1/6) (cbrt.f64 l)))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 l) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 l) 2) 0)
(pow.f64 (cbrt.f64 l) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2) (cbrt.f64 (.f64 l (cbrt.f64 l))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2) (.f64 (cbrt.f64 (cbrt.f64 l)) (cbrt.f64 l)))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 l) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 l) 2) 0)
(pow.f64 (cbrt.f64 l) 2)
(.f64 (cbrt.f64 (.f64 l (cbrt.f64 l))) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2) (cbrt.f64 (.f64 l (cbrt.f64 l))))
(.f64 (.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2)) (cbrt.f64 (cbrt.f64 l)))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 l) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 l) 2) 0)
(pow.f64 (cbrt.f64 l) 2)
(sqrt.f64 (*.f64 l (cbrt.f64 l)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 l) 2)))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 l) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 l) 2) 0)
(pow.f64 (cbrt.f64 l) 2)
(cbrt.f64 (*.f64 l l))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 l) 2)))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 l) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 l) 2) 0)
(pow.f64 (cbrt.f64 l) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 l))))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 l) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 l) 2) 0)
(pow.f64 (cbrt.f64 l) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 l) 2)))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 l) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 l) 2) 0)
(pow.f64 (cbrt.f64 l) 2)

eval445.0ms (4.1%)

Compiler: Compiled 26912 to 10597 computations (60.6% saved)

prune405.0ms (3.7%)

Pruning

33 alts after pruning (27 fresh and 6 done)

	Pruned	Kept	Total
New	1138	14	1152
Fresh	8	13	21
Picked	1	0	1
Done	0	6	6
Total	1147	33	1180

Error

0.3b

Counts

1180 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	38.4b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
	13.3b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	43.5b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (expm1.f64 (log1p.f64 (.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F -4))))) (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
	52.7b	(/.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))))
	26.2b	(/.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (+.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (PI.f64)))
	55.9b	(/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
	52.7b	(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 l (PI.f64) -1) 2) (fma.f64 l (PI.f64) -1))) (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3))))
▶	27.8b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	39.6b	(-.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 l)) (cbrt.f64 (sqrt.f64 l))) 2) (.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	27.9b	(-.f64 (.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (.f64 (cbrt.f64 (cbrt.f64 l)) (sqrt.f64 (cbrt.f64 (.f64 l (cbrt.f64 l))))) (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	27.7b	(-.f64 (.f64 (sqrt.f64 (.f64 l (cbrt.f64 l))) (.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	38.9b	(-.f64 (.f64 (cbrt.f64 (.f64 l l)) (.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	27.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) F) F))
✓	17.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
✓	10.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
▶	17.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
	17.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (PI.f64) F) l) F))
✓	10.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l))) F))
✓	10.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	17.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (/.f64 l F) F) (PI.f64)))
	17.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	40.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
	17.0b	(-.f64 (.f64 (PI.f64) l) (neg.f64 (/.f64 (PI.f64) (.f64 (neg.f64 F) (/.f64 F l)))))
	21.7b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
✓	27.8b	(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
	13.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
	13.3b	(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
▶	13.3b	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
▶	38.4b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
	22.8b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	12.4b	(*.f64 l (PI.f64))
	40.5b	(exp.f64 (log.f64 (*.f64 l (PI.f64))))
	47.9b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 925 to 636 computations (31.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 26 to 14 computations (46.2% saved)

series5.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	l	@	-inf	(*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2))
2.0ms	l	@	0	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
1.0ms	l	@	-inf	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
0.0ms	l	@	0	(*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2))
0.0ms	l	@	inf	(*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2))

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1884×	`add-sqr-sqrt`
1864×	`*-un-lft-identity`
1726×	`add-cube-cbrt`
1698×	`add-cbrt-cube`
206×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	218	28
2	2485	28

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

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

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1082×	`distribute-lft-in`
1020×	`distribute-rgt-in`
1000×	`*-commutative`
806×	`associate-r`
712×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	494
1	153	494
2	458	494
3	2550	494
4	7008	494

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(*.f64 l (PI.f64))
✓	1.2b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)

Compiler

Compiled 20 to 11 computations (45% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite61.0ms (0.6%)

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)))))

simplify69.0ms (0.6%)

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))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 16 computations (61.9% saved)

series22.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
19.0ms	l	@	0	(/.f64 (/.f64 1 F) (/.f64 F (*.f64 l (PI.f64))))
1.0ms	F	@	inf	(/.f64 F (*.f64 l (PI.f64)))
0.0ms	l	@	inf	(/.f64 F (*.f64 l (PI.f64)))
0.0ms	F	@	-inf	(/.f64 F (*.f64 l (PI.f64)))
0.0ms	F	@	0	(/.f64 F (*.f64 l (PI.f64)))

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1128×	`associate-/r/`
996×	`unswap-sqr`
968×	`associate-/l/`
846×	`swap-sqr`
432×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	232	36
2	3205	36

Stop Event

1×	node limit

Counts

2 → 164

Calls

Call 1

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

Outputs

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

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

908×	`distribute-rgt-in`
902×	`distribute-lft-in`
808×	`associate-r`
764×	`*-commutative`
750×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	401	5148
1	1203	4866
2	5033	4854

Stop Event

1×	node limit

Counts

188 → 222

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

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

localize8.0ms (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))
0.0ms	l	@	-inf	(*.f64 (PI.f64) (sqrt.f64 l))
0.0ms	l	@	0	(*.f64 (PI.f64) (sqrt.f64 l))
0.0ms	l	@	inf	(*.f64 (PI.f64) (sqrt.f64 l))
0.0ms	l	@	0	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify47.0ms (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))

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 l)
	5.5b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	31.9b	(cbrt.f64 (*.f64 l l))
	32.1b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 63 to 13 computations (79.4% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`add-sqr-sqrt`
966×	`*-un-lft-identity`
904×	`pow1`
900×	`add-cube-cbrt`
890×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	115	11
2	1315	11

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 l l))

Outputs

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

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1118×	`associate-/l*`
1054×	`associate-/r*`
850×	`*-commutative`
704×	`associate--l+`
622×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	406
1	81	340
2	199	274
3	499	274
4	1736	274
5	4749	274

Stop Event

1×	node limit

Counts

18 → 21

Calls

Call 1

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

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

eval189.0ms (1.7%)

Compiler: Compiled 12520 to 4792 computations (61.7% saved)

prune163.0ms (1.5%)

Pruning

36 alts after pruning (26 fresh and 10 done)

	Pruned	Kept	Total
New	625	14	639
Fresh	10	12	22
Picked	1	0	1
Done	0	10	10
Total	636	36	672

Error

0.3b

Counts

672 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	38.4b	(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
	13.3b	(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
	43.5b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (expm1.f64 (log1p.f64 (.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F -4))))) (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
	26.2b	(/.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (+.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (PI.f64)))
	55.9b	(/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
✓	27.8b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	27.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) F) F))
✓	17.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
✓	10.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	17.1b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 (/.f64 F l) (PI.f64))))
✓	17.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
	17.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (PI.f64) F) l) F))
✓	10.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l))) F))
✓	10.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	17.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (/.f64 l F) F) (PI.f64)))
	17.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	40.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
	21.7b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
✓	27.8b	(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
	13.3b	(.f64 (pow.f64 (.f64 (cbrt.f64 l) (sqrt.f64 (PI.f64))) 2) (cbrt.f64 l))
	38.4b	(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 l))) 2) (sqrt.f64 l))
	13.6b	(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2))) 3) (cbrt.f64 l))
	38.6b	(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (sqrt.f64 l))) 3) (sqrt.f64 l))
	13.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
	13.3b	(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
	13.6b	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 3))
✓	13.3b	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
	26.4b	(.f64 (.f64 (PI.f64) (sqrt.f64 (*.f64 l (cbrt.f64 l)))) (cbrt.f64 l))
✓	38.4b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
	39.0b	(.f64 (.f64 (PI.f64) (cbrt.f64 (*.f64 l l))) (cbrt.f64 l))
	38.5b	(.f64 (sqrt.f64 (.f64 l (pow.f64 (PI.f64) 2))) (sqrt.f64 l))
	48.8b	(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (sqrt.f64 l)) 3)) (sqrt.f64 l))
	22.8b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	12.4b	(*.f64 l (PI.f64))
	40.5b	(exp.f64 (log.f64 (*.f64 (PI.f64) l)))
	47.9b	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))

Compiler

Compiled 467 to 327 computations (30% saved)

regimes743.0ms (6.8%)

Counts

71 → 3

Calls

Call 1

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

212.0ms	F
163.0ms	l
99.0ms	(*.f64 F F)
84.0ms	(*.f64 (PI.f64) l)
77.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Results

Error	Segments	Branch
7.1b	5	`F`
0.6b	3	`l`
7.3b	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0.6b	3	`(*.f64 (PI.f64) l)`
8.0b	4	`(/.f64 1 (*.f64 F F))`
8.0b	4	`(*.f64 F F)`

Compiler

Compiled 1153 to 483 computations (58.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	21401591944.11947	297729397057337300.0
0.0ms	-1.3899141014036416e+31	-2.131276073539653e+23

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes273.0ms (2.5%)

Counts

26 → 3

Calls

Call 1

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

Calls

4 calls:

124.0ms	F
75.0ms	l
36.0ms	(*.f64 (PI.f64) l)
33.0ms	(*.f64 F F)

Results

Error	Segments	Branch
6.6b	8	`F`
1.1b	3	`l`
1.1b	3	`(*.f64 (PI.f64) l)`
8.0b	4	`(*.f64 F F)`

Compiler

Compiled 249 to 106 computations (57.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	147776510.78711137	21401591944.11947
0.0ms	-979.6249851672194	-1.1518276060797286e-6

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes83.0ms (0.8%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

51.0ms	F
18.0ms	l
12.0ms	(*.f64 F F)

Results

Error	Segments	Branch
10.6b	3	`F`
1.1b	3	`l`
10.4b	3	`(*.f64 F F)`

Compiler

Compiled 116 to 46 computations (60.3% saved)

bsearch44.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	47038724.32928313	6812338295.8846
26.0ms	-311.82431753137524	-3.666381141945865e-7

Results

35.0ms	256×	body	256	valid
7.0ms	50×	body	256	infinite

Compiler

Compiled 341 to 238 computations (30.2% saved)

regimes82.0ms (0.7%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	(*.f64 F F)
17.0ms	F
15.0ms	l

Results

Error	Segments	Branch
10.6b	3	`F`
1.1b	3	`l`
10.4b	3	`(*.f64 F F)`

Compiler

Compiled 83 to 36 computations (56.6% saved)

bsearch50.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	47038724.32928313	6812338295.8846
29.0ms	-311.82431753137524	-3.666381141945865e-7

Results

39.0ms	256×	body	256	valid
8.0ms	60×	body	256	infinite

Compiler

Compiled 341 to 238 computations (30.2% saved)

regimes112.0ms (1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	F
14.0ms	l
8.0ms	(*.f64 F F)

Results

Error	Segments	Branch
9.6b	6	`F`
1.2b	3	`l`
10.4b	3	`(*.f64 F F)`

Compiler

Compiled 50 to 28 computations (44% saved)

bsearch89.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	47038724.32928313	6812338295.8846
67.0ms	-311.82431753137524	-3.666381141945865e-7

Results

80.0ms	256×	body	256	valid
6.0ms	42×	body	256	infinite

Compiler

Compiled 341 to 238 computations (30.2% saved)

regimes34.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	l
10.0ms	(*.f64 F F)
9.0ms	F

Results

Error	Segments	Branch
10.8b	3	`F`
6.9b	3	`l`
10.4b	3	`(*.f64 F F)`

Compiler

Compiled 39 to 23 computations (41% saved)

bsearch52.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	47038724.32928313	6812338295.8846
26.0ms	-311.82431753137524	-3.666381141945865e-7

Results

39.0ms	256×	body	256	valid
7.0ms	52×	body	256	infinite

Compiler

Compiled 309 to 222 computations (28.2% saved)

regimes8.0ms (0.1%)

Accuracy

Total -15.4b remaining (-124%)

Threshold costs -15.4b (-124%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	F
3.0ms	l

Results

Error	Segments	Branch
12.4b	1	`F`
12.4b	1	`l`

Compiler

Compiled 25 to 16 computations (36% saved)

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

176×	`distribute-lft-neg-in`
128×	`*-commutative`
100×	`distribute-rgt-neg-in`
96×	`+-commutative`
86×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	461
1	124	457
2	178	457
3	229	457
4	273	457
5	359	457
6	447	457
7	534	457
8	572	457
9	583	457

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) -9999999999999999635896294965248) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 40000000000) (-.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) -500) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 200000000) (-.f64 (.f64 (PI.f64) l) (neg.f64 (/.f64 (PI.f64) (.f64 (neg.f64 F) (/.f64 F l))))) (.f64 l (PI.f64))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 80000000) (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (PI.f64) F) l) F)) (.f64 l (PI.f64))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 66000000) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 4200000000) (-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F))) (.f64 l (PI.f64))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 80000000) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (PI.f64))))
(*.f64 l (PI.f64))

Outputs
(if (<=.f64 (.f64 (PI.f64) l) -9999999999999999635896294965248) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 40000000000) (-.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) -9999999999999999635896294965248) (not (<=.f64 (.f64 (PI.f64) l) 40000000000))) (.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) -500) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 200000000) (-.f64 (.f64 (PI.f64) l) (neg.f64 (/.f64 (PI.f64) (.f64 (neg.f64 F) (/.f64 F l))))) (.f64 l (PI.f64))))
(if (or (<=.f64 (.f64 (PI.f64) l) -500) (not (<=.f64 (.f64 (PI.f64) l) 200000000))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 F) (/.f64 F l)))))
(if (or (<=.f64 (.f64 (PI.f64) l) -500) (not (<=.f64 (.f64 (PI.f64) l) 200000000))) (.f64 (PI.f64) l) (+.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (*.f64 F (neg.f64 (/.f64 F l))))))
(if (or (<=.f64 (.f64 (PI.f64) l) -500) (not (<=.f64 (.f64 (PI.f64) l) 200000000))) (.f64 (PI.f64) l) (+.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (neg.f64 (*.f64 F (/.f64 F l))))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 80000000) (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (PI.f64) F) l) F)) (.f64 l (PI.f64))))
(if (or (<=.f64 l -1/2) (not (<=.f64 l 80000000))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (/.f64 (*.f64 l (/.f64 (PI.f64) F)) F)))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 66000000) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -1/2) (not (<=.f64 l 66000000))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 4200000000) (-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -1/2) (not (<=.f64 l 4200000000))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 80000000) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -1/2) (not (<=.f64 l 80000000))) (.f64 (PI.f64) l) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

Compiler

Compiled 163 to 95 computations (41.7% saved)

soundness66.0ms (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)

end102.0ms (0.9%)

Compiler: Compiled 151 to 69 computations (54.3% saved)

Iter	Nodes	Cost
0	64	461
1	124	457
2	178	457
3	229	457
4	273	457
5	359	457
6	447	457
7	534	457
8	572	457
9	583	457

Iter	Nodes	Cost
0	64	461
1	124	457
2	178	457
3	229	457
4	273	457
5	359	457
6	447	457
7	534	457
8	572	457
9	583	457

Iter	Nodes	Cost
0	64	461
1	124	457
2	178	457
3	229	457
4	273	457
5	359	457
6	447	457
7	534	457
8	572	457
9	583	457