Details

analyze303.0ms (2.8%)

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)

sample2.8s (26.1%)

Results

1.1s	1038×	body	2048	valid
709.0ms	1869×	body	1024	valid
583.0ms	4582×	body	256	valid
206.0ms	52×	body	4096	valid
172.0ms	715×	body	512	valid
40.0ms	309×	body	256	infinite
4.0ms	7×	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)

simplify38.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

19.4b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	19.4b	(-.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
✓	0.2b	(*.f64 (PI.f64) l)
✓	0.3b	(/.f64 1 (*.f64 F F))
✓	3.9b	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	30.0b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series9.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

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

rewrite90.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 233

Calls

Call 1

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

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

simplify133.0ms (1.2%)

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))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	0.2b	(*.f64 (PI.f64) l)
✓	4.1b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	30.0b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite95.0ms (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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simplify147.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

188 → 234

Calls

Call 1

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

Outputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
(fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)) F) (/.f64 -1/2 F))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
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(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 4))))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))))
(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)) F) (/.f64 -1/2 F))) (pow.f64 l 5) (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) 1/840) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 1/24 (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (pow.f64 (PI.f64) 4))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
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(fma.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (.f64 l (PI.f64)))
(fma.f64 1 (.f64 (PI.f64) l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(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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eval319.0ms (3%)

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

prune178.0ms (1.7%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	653	28	681
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	654	29	683

Error

0.6b

Counts

683 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	20.1b	(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))))
	41.0b	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (.f64 l (PI.f64)))) 2) (/.f64 (cbrt.f64 (fma.f64 l (PI.f64) (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))) (cbrt.f64 (-.f64 (pow.f64 (.f64 l (PI.f64)) 2) (/.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2) (pow.f64 F 4))))))
	50.2b	(/.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)))))
	47.0b	(/.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))))))
	19.5b	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
	40.2b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	20.1b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	27.5b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (pow.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3))
	37.8b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
	15.5b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F) -1))
	19.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3) (*.f64 F F)))
	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 F -2) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))))
	15.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	23.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
	19.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
✓	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	35.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	23.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
▶	15.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	19.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	23.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
	41.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
▶	23.3b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	43.1b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	43.1b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	49.1b	(.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 (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 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)) (.f64 (.f64 (.f64 (PI.f64) l) (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2)))))
	40.8b	(.f64 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))
▶	23.5b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
▶	12.0b	(*.f64 l (PI.f64))

Compiler

Compiled 1198 to 748 computations (37.6% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite47.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify64.0ms (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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (PI.f64) (*.f64 F F))
✓	4.2b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))

Compiler

Compiled 29 to 7 computations (75.9% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite72.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	216	44
2	3078	44

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 1 (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) F)) (/.f64 (sqrt.f64 (PI.f64)) F) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 2) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 1 (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) F)) (/.f64 (sqrt.f64 (PI.f64)) F) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 2) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (PI.f64)) (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))) (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 l (PI.f64))) (*.f64 1 (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 l (PI.f64)) 1) (*.f64 (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (/.f64 1 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) (/.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3))) (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))) l) (-.f64 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 3)) l) (+.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) l) (neg.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3))) l) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) 1) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3))) 1) (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 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simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1076×	`associate-/r*`
1022×	`*-commutative`
926×	`distribute-lft-in`
870×	`distribute-rgt-in`
784×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	240	4392
1	670	4222
2	2815	3994

Stop Event

1×	node limit

Counts

124 → 123

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.2b	(*.f64 (PI.f64) l)
✓	0.5b	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
	30.0b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 51 to 13 computations (74.5% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite77.0ms (0.7%)

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	50
1	268	44
2	3456	44

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

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

Outputs

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

simplify161.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1444×	`distribute-rgt-in`
1440×	`distribute-lft-in`
486×	`associate-/l*`
440×	`associate-r`
424×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	354	6239
1	950	6013
2	4258	6013

Stop Event

1×	node limit

Counts

161 → 184

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

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 (/.f64 l (.f64 F F)) (PI.f64))
(*.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 (/.f64 l (.f64 F F)) (PI.f64)))
(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 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 2))) (.f64 F F)))) (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 (.f64 F F)) (PI.f64))))
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(.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F))) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)))) (neg.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 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 (tan.f64 (.f64 l (PI.f64))) (sqrt.f64 F)) (/.f64 1 (sqrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (sqrt.f64 F)) (sqrt.f64 F))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 F)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (cbrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F))
(.f64 (/.f64 -1 F) (neg.f64 (tan.f64 (.f64 (PI.f64) l))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (neg.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2)) (neg.f64 (cbrt.f64 (/.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))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (cbrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F))
(.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 (tan.f64 (.f64 l (PI.f64))) (sqrt.f64 F)) (/.f64 1 (sqrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (sqrt.f64 F)) (sqrt.f64 F))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2) 1) (cbrt.f64 (/.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) F) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (/.f64 1 (/.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))) F)
(.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)))) (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F))) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F))))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(.f64 (neg.f64 (neg.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 (neg.f64 (neg.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)
(pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 3)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) 1/3)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) 1))
(/.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)
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 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)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 (PI.f64) l) 3)
✓	4.1b	(/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (.f64 F F))
✓	30.0b	(tan.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3)))
✓	39.4b	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))

Compiler

Compiled 56 to 26 computations (53.6% saved)

series28.0ms (0.3%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
23.0ms	l	@	-inf	(/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (.f64 F F))
2.0ms	l	@	-inf	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
0.0ms	l	@	-inf	(tan.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3)))
0.0ms	l	@	0	(pow.f64 (*.f64 (PI.f64) l) 3)
0.0ms	l	@	-inf	(pow.f64 (*.f64 (PI.f64) l) 3)

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`associate-*r/`
994×	`associate-/r*`
938×	`associate-*l/`
832×	`associate-/l*`
280×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	62
1	294	62
2	3505	62

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

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

simplify115.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1550×	`associate-/r*`
1422×	`associate-/l/`
968×	`associate-/r/`
662×	`associate-r`
584×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	378	5845
1	901	5623
2	4360	5623

Stop Event

1×	node limit

Counts

197 → 209

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

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
✓	3.9b	(.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))
✓	4.6b	(log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))
	30.0b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 57 to 26 computations (54.4% saved)

series73.0ms (0.7%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
44.0ms	l	@	inf	(log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))
23.0ms	l	@	-inf	(log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))
1.0ms	l	@	0	(log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))
1.0ms	F	@	inf	(log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))
1.0ms	F	@	0	(log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))

rewrite92.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`*-commutative`
926×	`unswap-sqr`
664×	`swap-sqr`
480×	`sqr-pow`
462×	`pow-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	281	79
2	3073	79

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

Inputs
(log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))
(.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))
(expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))

Outputs

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

simplify130.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1654×	`associate-/r*`
1362×	`associate-*r/`
1074×	`associate-+r+`
1054×	`associate-*l/`
914×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	359	12185
1	951	11693
2	3889	11683

Stop Event

1×	node limit

Counts

215 → 175

Calls

Call 1

Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)) (pow.f64 F 4))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))) (.f64 6 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))))) (pow.f64 l 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)) (pow.f64 F 4))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))) (.f64 6 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))))) (pow.f64 l 3))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))) (PI.f64)) (pow.f64 F 2))) (.f64 -6 (/.f64 (pow.f64 (PI.f64) 4) (pow.f64 F 8)))) (pow.f64 l 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)) (pow.f64 F 4))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))))
(+.f64 (log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (*.f64 -2 (log.f64 F)))
(+.f64 (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (.f64 l (PI.f64)))) (+.f64 (log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (.f64 -2 (log.f64 F))))
(+.f64 (/.f64 (.f64 (pow.f64 F 2) (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (.f64 l (PI.f64)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 2) (pow.f64 F 4)) (pow.f64 (sin.f64 (.f64 l (PI.f64))) 2))) (+.f64 (log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (.f64 -2 (log.f64 F)))))
(+.f64 (/.f64 (.f64 (pow.f64 F 2) (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (.f64 l (PI.f64)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 2) (pow.f64 F 4)) (pow.f64 (sin.f64 (.f64 l (PI.f64))) 2))) (+.f64 (log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 3) (pow.f64 F 6)) (pow.f64 (sin.f64 (.f64 l (PI.f64))) 3))) (.f64 -2 (log.f64 F))))))
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(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 2) -1) (-.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 2) (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 2) (-.f64 1 (.f64 (+.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1) -1))))
(/.f64 (.f64 (pow.f64 F -2) (neg.f64 (sin.f64 (.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 1 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l)))) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 2) -1)) (+.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 2))
(/.f64 (.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 3) -1)) (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 2) (+.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 2)))
(/.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 1) F)
(/.f64 (.f64 (.f64 (pow.f64 F -2) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (.f64 (pow.f64 F -2) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2)) (cbrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (pow.f64 F -2)) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l))) 1) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 2) -1) 1) (+.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 2))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 3) -1) 1) (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 2) (+.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 2)))
(/.f64 (.f64 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) F)
(/.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 (.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))))
(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)
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))
(cbrt.f64 (.f64 (pow.f64 (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))))
(log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 0)
(+.f64 1 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) -1))
(+.f64 1 (-.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1))
(+.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) -1)
(+.f64 -1 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1))
(-.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 1)
(-.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 2) 2)
(.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)) (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 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 (pow.f64 F -2) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(.f64 (cbrt.f64 (pow.f64 F -2)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F -4))))
(.f64 (cbrt.f64 (pow.f64 F -4)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F -2))))
(.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 (pow.f64 F -2) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (.f64 (pow.f64 F -2) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))))
(.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 4)) (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F -4))) (cbrt.f64 (pow.f64 F -2)))
(.f64 (.f64 (pow.f64 F -2) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))))
(.f64 (.f64 (pow.f64 F -2) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2)) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))))
(.f64 (.f64 (pow.f64 F -2) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
(.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F -2))) (cbrt.f64 (pow.f64 F -4)))
(.f64 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l))) (/.f64 1 (cos.f64 (.f64 (PI.f64) l))))
(.f64 (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 2) -1) (/.f64 1 (+.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 2)))
(.f64 (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 2) (+.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (cbrt.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 4)))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 4)))))
(.f64 (.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) (sqrt.f64 (cbrt.f64 (.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))) (sqrt.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))
(.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)) 1))
(.f64 (pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 3/2) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/6) (pow.f64 (pow.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/6))
(/.f64 (pow.f64 F -2) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 1 (/.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F -2) (sin.f64 (*.f64 (PI.f64) l)))))
(/.f64 1 (/.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 2) (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 2) (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 2)) (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 3) -1)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 2) -1) (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 2) -1) (-.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 2) (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 2) (-.f64 1 (.f64 (+.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1) -1))))
(/.f64 (.f64 (pow.f64 F -2) (neg.f64 (sin.f64 (.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 1 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l)))) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 2) -1)) (+.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 2))
(/.f64 (.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 3) -1)) (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 2) (+.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 2)))
(/.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 1) F)
(/.f64 (.f64 (.f64 (pow.f64 F -2) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (.f64 (pow.f64 F -2) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2)) (cbrt.f64 (sin.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (pow.f64 F -2)) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (.f64 (pow.f64 F -2) (sin.f64 (.f64 (PI.f64) l))) 1) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 2) -1) 1) (+.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 2))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 3) -1) 1) (+.f64 (pow.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 2) (+.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 2)))
(/.f64 (.f64 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) F)
(/.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 (.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))))
(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)
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 F -2) 3) (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3)))
(exp.f64 (log.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
(log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))

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

eval385.0ms (3.6%)

Compiler: Compiled 22866 to 10587 computations (53.7% saved)

prune259.0ms (2.4%)

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	861	20	881
Fresh	11	12	23
Picked	1	0	1
Done	0	5	5
Total	873	37	910

Error

0.6b

Counts

910 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	37.9b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
▶	12.9b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	50.2b	(/.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)))))
	27.1b	(/.f64 (/.f64 (.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (sqrt.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))) (sqrt.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
	29.6b	(/.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 3)) (/.f64 (fma.f64 (PI.f64) (PI.f64) (.f64 (.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))) l))
	27.8b	(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))
	28.9b	(/.f64 (.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 3)) (neg.f64 l)) (.f64 (neg.f64 (PI.f64)) (+.f64 (PI.f64) (.f64 (pow.f64 F -2) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))))))
▶	26.9b	(/.f64 (.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))
	56.0b	(/.f64 (neg.f64 l) (*.f64 F (/.f64 F (PI.f64))))
	19.5b	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
	27.5b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) 3) 1/3))
	37.8b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
	15.5b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F) -1))
	19.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3) (*.f64 F F)))
	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 F -2) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))))
	19.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
✓	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	35.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	23.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
	19.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (.f64 l (PI.f64)) F))))
✓	15.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	35.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) F))))
	19.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (/.f64 l F) F) (PI.f64)))
	19.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
▶	23.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
▶	41.2b	(-.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 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))))
	23.3b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))
▶	29.3b	(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
	40.8b	(.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))))
	56.2b	(.f64 (.f64 (PI.f64) (pow.f64 F -2)) (neg.f64 l))
	23.3b	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
✓	23.5b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	12.0b	(*.f64 l (PI.f64))
	56.0b	(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
	44.9b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
	50.6b	(cbrt.f64 (.f64 (pow.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))) 3) (pow.f64 l 3)))

Compiler

Compiled 1193 to 822 computations (31.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 18 to 8 computations (55.6% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 61

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 l (PI.f64))
✓	3.8b	(+.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))

rewrite57.0ms (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)))))

simplify94.0ms (0.9%)

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))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 l (PI.f64))
	0.2b	(*.f64 (PI.f64) l)
	0.3b	(/.f64 1 (*.f64 F F))
✓	6.9b	(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))

Compiler

Compiled 42 to 16 computations (61.9% saved)

series16.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	F	@	inf	(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))
1.0ms	l	@	inf	(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))
0.0ms	F	@	0	(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))
0.0ms	l	@	-inf	(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))
0.0ms	l	@	0	(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`*-commutative`
830×	`associate-*r/`
780×	`unswap-sqr`
738×	`associate-/r*`
700×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	220	21
2	2751	21

Stop Event

1×	node limit

Counts

1 → 130

Calls

Call 1

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

Outputs

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

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1274×	`associate-+r+`
1096×	`associate-/l*`
664×	`associate-/l/`
636×	`times-frac`
532×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	349	4214
1	948	4184
2	4577	4176
3	7060	4176

Stop Event

1×	node limit

Counts

154 → 176

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

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

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) l)
✓	1.5b	(.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (*.f64 (PI.f64) l)))
✓	1.7b	(exp.f64 (*.f64 -2 (log.f64 F)))
	30.0b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 48 to 21 computations (56.3% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`unswap-sqr`
820×	`swap-sqr`
508×	`sqr-pow`
500×	`pow-sqr`
348×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	271	32
2	3119	32

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(exp.f64 (*.f64 -2 (log.f64 F)))
(.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (*.f64 (PI.f64) l)))

Outputs

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

simplify125.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1592×	`associate-*l/`
1342×	`associate-/l/`
1204×	`associate-/r/`
970×	`distribute-rgt-in`
956×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	279	4433
1	702	4199
2	3347	4007

Stop Event

1×	node limit

Counts

115 → 125

Calls

Call 1

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

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

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))
✓	0.2b	(*.f64 (PI.f64) (pow.f64 F -2))
✓	1.9b	(*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))))
✓	17.1b	(/.f64 (.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))

Compiler

Compiled 81 to 55 computations (32.1% saved)

series7.0ms (0.1%)

Counts

4 → 60

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	l	@	0	(/.f64 (.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))
1.0ms	F	@	0	(/.f64 (.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))
1.0ms	l	@	inf	(/.f64 (.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))
1.0ms	F	@	inf	(/.f64 (.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))
1.0ms	F	@	0	(*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))))

rewrite117.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

988×	`associate-/r/`
770×	`associate-/l/`
414×	`add-sqr-sqrt`
402×	`*-un-lft-identity`
396×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	146
1	404	110
2	5685	104

Stop Event

1×	node limit

Counts

4 → 159

Calls

Call 1

Inputs
(/.f64 (.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))

Outputs
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simplify145.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1640×	`associate-/r/`
882×	`distribute-lft-neg-in`
724×	`associate-r`
632×	`associate-l`
612×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	10217
1	1056	9497
2	5281	8993

Stop Event

1×	node limit

Counts

219 → 243

Calls

Call 1

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

eval364.0ms (3.4%)

Compiler: Compiled 18334 to 9919 computations (45.9% saved)

prune329.0ms (3.1%)

Pruning

45 alts after pruning (36 fresh and 9 done)

	Pruned	Kept	Total
New	845	22	867
Fresh	13	14	27
Picked	1	0	1
Done	0	9	9
Total	859	45	904

Error

0.5b

Counts

904 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	29.9b	(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 l (PI.f64) -1)) 2) (cbrt.f64 (fma.f64 l (PI.f64) -1)) 1)
	23.6b	(pow.f64 (/.f64 1 (.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))) -1)
	13.0b	(pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 3)
	37.9b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
	13.0b	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)) 3)
✓	12.9b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	27.8b	(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))
	28.7b	(/.f64 (.f64 (.f64 l (PI.f64)) (+.f64 (.f64 l (PI.f64)) 2)) (+.f64 (.f64 l (PI.f64)) 2))
	29.2b	(/.f64 (.f64 l (pow.f64 (PI.f64) 2)) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))
	56.0b	(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
	46.0b	(/.f64 1 (/.f64 (-.f64 1 (fma.f64 l (PI.f64) -1)) (-.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 2))))
	27.5b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) 3) 1/3))
	37.8b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
	19.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3) (*.f64 F F)))
	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 F -2) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))))
	19.3b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
▶	19.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
▶	19.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
✓	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	35.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	19.3b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (PI.f64) (/.f64 F (/.f64 l F))))
✓	15.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	35.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) F))))
	58.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 F)))) (sqrt.f64 (.f64 -2 (log.f64 F)))) (tan.f64 (*.f64 (PI.f64) l))))
✓	23.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
	23.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (neg.f64 (/.f64 (/.f64 -1 F) F)) (*.f64 l (PI.f64))))
✓	41.2b	(-.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 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))))
	23.3b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))
✓	29.3b	(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
▶	12.8b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)))
	12.9b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
	12.8b	(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
	52.0b	(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
	27.7b	(.f64 (/.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 4)))))
	13.2b	(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))
▶	12.9b	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
	56.2b	(.f64 (.f64 (PI.f64) (pow.f64 F -2)) (neg.f64 l))
	37.9b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
	23.3b	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
✓	23.5b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	12.0b	(*.f64 l (PI.f64))
	56.0b	(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
▶	56.0b	(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
	44.9b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 1151 to 810 computations (29.6% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 14 computations (64.1% saved)

series2.0ms (0%)

Counts

3 → 0

Calls

6 calls:

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

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

Outputs

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

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

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

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

63 → 72

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 F F) (PI.f64))
✓	7.1b	(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))

Compiler

Compiled 28 to 7 computations (75% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite97.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`associate-*l/`
1010×	`*-commutative`
710×	`unswap-sqr`
656×	`associate-/r/`
632×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	192	36
2	2768	36

Stop Event

1×	node limit

Counts

2 → 189

Calls

Call 1

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

Outputs

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

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

806×	`distribute-rgt-in`
786×	`distribute-lft-in`
772×	`distribute-lft-neg-in`
688×	`associate-*r/`
682×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	421	5473
1	1243	5243
2	4871	5243

Stop Event

1×	node limit

Counts

225 → 229

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 16 computations (61.9% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite113.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`associate-/r/`
996×	`unswap-sqr`
992×	`associate-/l/`
852×	`swap-sqr`
432×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	232	36
2	3212	36

Stop Event

1×	node limit

Counts

2 → 164

Calls

Call 1

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

Outputs

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

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

simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Rules

914×	`distribute-rgt-in`
908×	`distribute-lft-in`
776×	`associate-r`
748×	`*-commutative`
746×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	400	5102
1	1194	4832
2	5027	4820

Stop Event

1×	node limit

Counts

188 → 228

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

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2))
✓	0.4b	(.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)

series6.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	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	@	-inf	(*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2))
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))

rewrite63.0ms (0.6%)

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	39
1	218	39
2	2485	39

Stop Event

1×	node limit

Counts

3 → 44

Calls

Call 1

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

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

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1910×	`distribute-rgt-in`
1892×	`distribute-lft-in`
1022×	`associate-r`
936×	`associate-l`
474×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	750
1	214	750
2	639	750
3	3342	750

Stop Event

1×	node limit

Counts

56 → 52

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

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (*.f64 (PI.f64) l))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
✓	4.1b	(/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (.f64 F F))
✓	29.8b	(tan.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3))

Compiler

Compiled 55 to 21 computations (61.8% saved)

series10.0ms (0.1%)

Counts

4 → 12

Calls

15 calls:

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

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`associate-*r/`
992×	`associate-/r*`
972×	`associate-*l/`
832×	`associate-/l*`
276×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	291	60
2	3445	60

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

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

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

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1280×	`associate-/l/`
1088×	`associate-/r*`
1082×	`distribute-lft-in`
1080×	`distribute-rgt-in`
808×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	297	3561
1	641	3531
2	2872	3531

Stop Event

1×	node limit

Counts

149 → 172

Calls

Call 1

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

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

eval180.0ms (1.7%)

Compiler: Compiled 14541 to 5490 computations (62.2% saved)

prune222.0ms (2.1%)

Pruning

48 alts after pruning (38 fresh and 10 done)

	Pruned	Kept	Total
New	845	13	858
Fresh	6	25	31
Picked	0	1	1
Done	4	9	13
Total	855	48	903

Error

0.5b

Counts

903 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	29.9b	(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 l (PI.f64) -1)) 2) (cbrt.f64 (fma.f64 l (PI.f64) -1)) 1)
	23.6b	(pow.f64 (/.f64 1 (.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))) -1)
	13.0b	(pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 3)
	37.9b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
	13.0b	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)) 3)
✓	12.9b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	28.7b	(/.f64 (.f64 (.f64 l (PI.f64)) (+.f64 (.f64 l (PI.f64)) 2)) (+.f64 (.f64 l (PI.f64)) 2))
	29.2b	(/.f64 (.f64 l (pow.f64 (PI.f64) 2)) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))
	56.0b	(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
	46.0b	(/.f64 1 (/.f64 (-.f64 1 (fma.f64 l (PI.f64) -1)) (-.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 2))))
	27.5b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) 3) 1/3))
	37.8b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
	19.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3) (*.f64 F F)))
	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 F -2) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))))
	19.3b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
	19.3b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 (/.f64 F l) (PI.f64))))
✓	19.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
✓	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	35.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
✓	15.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	35.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) F))))
	58.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 F)))) (sqrt.f64 (.f64 -2 (log.f64 F)))) (tan.f64 (*.f64 (PI.f64) l))))
✓	41.2b	(-.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 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))))
	23.3b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))
✓	29.3b	(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
	40.0b	(.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)))
	12.8b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (*.f64 (pow.f64 (pow.f64 (PI.f64) 1/6) 2) (cbrt.f64 l)))
	12.9b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
	12.8b	(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
	52.0b	(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
	27.7b	(.f64 (/.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 4)))))
	13.1b	(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 l) 2)) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)))
	38.2b	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (*.f64 (cbrt.f64 (sqrt.f64 l)) (cbrt.f64 (sqrt.f64 l))))
	37.9b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
	36.0b	(.f64 (.f64 (PI.f64) (cbrt.f64 (*.f64 l l))) (cbrt.f64 l))
	36.2b	(.f64 (cbrt.f64 (.f64 l (*.f64 l (pow.f64 (PI.f64) 3)))) (cbrt.f64 l))
	23.3b	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
✓	23.5b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	12.0b	(*.f64 l (PI.f64))
	56.1b	(neg.f64 (/.f64 l (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 3)))
✓	56.0b	(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
	56.6b	(neg.f64 (/.f64 l (exp.f64 (log.f64 (*.f64 F (/.f64 F (PI.f64)))))))
	52.0b	(neg.f64 (*.f64 (/.f64 (/.f64 l F) F) (PI.f64)))
	56.2b	(neg.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l))
	52.0b	(neg.f64 (.f64 (/.f64 1 F) (.f64 l (/.f64 (PI.f64) F))))
	58.5b	(neg.f64 (fabs.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))))
	44.9b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 653 to 466 computations (28.6% saved)

regimes761.0ms (7.1%)

Counts

85 → 3

Calls

Call 1

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

196.0ms	F
177.0ms	l
163.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
98.0ms	(*.f64 (PI.f64) l)
61.0ms	(*.f64 F F)

Results

Error	Segments	Branch
8.9b	3	`F`
0.8b	3	`l`
7.1b	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0.8b	3	`(*.f64 (PI.f64) l)`
9.0b	2	`(/.f64 1 (*.f64 F F))`
9.0b	2	`(*.f64 F F)`

Compiler

Compiled 1311 to 600 computations (54.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	16247865035.286692	52056091230.939384
0.0ms	-7.472566407970126e+25	-5.742033714781163e+24

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes272.0ms (2.5%)

Counts

33 → 3

Calls

Call 1

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

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

Calls

5 calls:

78.0ms	(*.f64 (PI.f64) l)
61.0ms	(*.f64 F F)
55.0ms	F
52.0ms	l
18.0ms	(/.f64 1 (*.f64 F F))

Results

Error	Segments	Branch
8.9b	3	`F`
1.4b	3	`l`
1.4b	3	`(*.f64 (PI.f64) l)`
9.0b	2	`(/.f64 1 (*.f64 F F))`
9.0b	2	`(*.f64 F F)`

Compiler

Compiled 336 to 134 computations (60.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	16247865035.286692	52056091230.939384
0.0ms	-24110090269020.125	-17202645003505.969

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes104.0ms (1%)

Counts

15 → 3

Calls

Call 1

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

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:

42.0ms	l
36.0ms	(*.f64 F F)
22.0ms	F

Results

Error	Segments	Branch
10.7b	3	`F`
1.4b	3	`l`
10.7b	3	`(*.f64 F F)`

Compiler

Compiled 136 to 60 computations (55.9% saved)

bsearch25.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	5171856070.111699	16569968474.89334
10.0ms	-7674480089412.716	-5475771973126.141

Results

19.0ms	128×	body	256	valid
4.0ms	28×	body	256	infinite

Compiler

Compiled 181 to 126 computations (30.4% saved)

regimes100.0ms (0.9%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

54.0ms	l
29.0ms	F
15.0ms	(*.f64 F F)

Results

Error	Segments	Branch
10.7b	3	`F`
5.4b	3	`l`
10.7b	3	`(*.f64 F F)`

Compiler

Compiled 125 to 57 computations (54.4% saved)

bsearch26.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	5171856070.111699	16569968474.89334
11.0ms	-7674480089412.716	-5475771973126.141

Results

18.0ms	128×	body	256	valid
6.0ms	42×	body	256	infinite

Compiler

Compiled 165 to 118 computations (28.5% saved)

regimes46.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	F
15.0ms	l
14.0ms	(*.f64 F F)

Results

Error	Segments	Branch
10.7b	3	`F`
9.9b	3	`l`
10.7b	3	`(*.f64 F F)`

Compiler

Compiled 71 to 35 computations (50.7% saved)

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.333144169702064e-268	6.837884906811361e-267
19.0ms	-2.898940621749547e-215	-5.2546031685139505e-219

Results

31.0ms	240×	body	256	valid
1.0ms	7×	body	256	infinite

Compiler

Compiled 276 to 209 computations (24.3% saved)

regimes25.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	F
9.0ms	(*.f64 F F)
3.0ms	l

Results

Error	Segments	Branch
10.7b	3	`F`
12.0b	1	`l`
10.7b	3	`(*.f64 F F)`

Compiler

Compiled 31 to 19 computations (38.7% saved)

bsearch62.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	1.8098328967735704e-100	1.9448433393832654e-91
28.0ms	5.6788690130236616e-108	6.7376567064168295e-106

Results

23.0ms	144×	body	256	valid
19.0ms	51×	body	1024	valid
16.0ms	61×	body	512	valid

Compiler

Compiled 289 to 234 computations (19% saved)

regimes7.0ms (0.1%)

Accuracy

Total -17.4b remaining (-145.3%)

Threshold costs -17.4b (-145.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	l
3.0ms	F

Results

Error	Segments	Branch
12.0b	1	`F`
12.0b	1	`l`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

46×	`*-commutative`
40×	`+-commutative`
28×	`sub-neg`
26×	`neg-mul-1`
26×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	457
1	121	457
2	161	457
3	186	457
4	200	457
5	204	457
6	205	457

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) -50000000000000002382364672) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 20000000000) (-.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) -20000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 20000000000) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (/.f64 l F) F) (PI.f64))) (.f64 l (PI.f64))))
(if (<=.f64 l -7200000000000) (.f64 l (PI.f64)) (if (<=.f64 l 6600000000) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (<=.f64 l -7200000000000) (.f64 l (PI.f64)) (if (<=.f64 l 5500000000) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) (.f64 l (PI.f64))))
(if (<=.f64 l -720368394827529/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848) (.f64 l (PI.f64)) (if (<=.f64 l 4182235055093765/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888) (neg.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 F F) 8197094012999083/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (if (<=.f64 (.f64 F F) 8668441363206785/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408) (neg.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l)) (.f64 l (PI.f64))))
(*.f64 l (PI.f64))

Outputs
(if (<=.f64 (.f64 (PI.f64) l) -50000000000000002382364672) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 20000000000) (-.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) -50000000000000002382364672) (not (<=.f64 (.f64 (PI.f64) l) 20000000000))) (.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) -20000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 20000000000) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (/.f64 l F) F) (PI.f64))) (.f64 l (PI.f64))))
(if (or (<=.f64 (.f64 (PI.f64) l) -20000000000000) (not (<=.f64 (.f64 (PI.f64) l) 20000000000))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))))
(if (<=.f64 l -7200000000000) (.f64 l (PI.f64)) (if (<=.f64 l 6600000000) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -7200000000000) (not (<=.f64 l 6600000000))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (*.f64 (/.f64 l F) (/.f64 (PI.f64) F))))
(if (<=.f64 l -7200000000000) (.f64 l (PI.f64)) (if (<=.f64 l 5500000000) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -7200000000000) (not (<=.f64 l 5500000000))) (.f64 (PI.f64) l) (.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(if (<=.f64 l -720368394827529/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848) (.f64 l (PI.f64)) (if (<=.f64 l 4182235055093765/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888) (neg.f64 (.f64 (/.f64 (/.f64 l F) F) (PI.f64))) (*.f64 l (PI.f64))))
(if (or (<=.f64 l -720368394827529/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848) (not (<=.f64 l 4182235055093765/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888))) (.f64 (PI.f64) l) (.f64 (/.f64 (/.f64 l F) F) (neg.f64 (PI.f64))))
(if (<=.f64 (.f64 F F) 8197094012999083/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (if (<=.f64 (.f64 F F) 8668441363206785/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408) (neg.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) l)) (.f64 l (PI.f64))))
(if (<=.f64 (.f64 F F) 8197094012999083/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (+.f64 1 (+.f64 (.f64 (PI.f64) l) -1)) (if (<=.f64 (.f64 F F) 8668441363206785/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408) (neg.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (.f64 (PI.f64) l)))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

Compiler

Compiled 166 to 97 computations (41.6% saved)

soundness79.0ms (0.7%)

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)

end94.0ms (0.9%)

Compiler: Compiled 154 to 69 computations (55.2% saved)