Details

analyze299.0ms (2.5%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.8s (23.6%)

Results

1.0s	1005×	body	2048	valid
729.0ms	1882×	body	1024	valid
618.0ms	4590×	body	256	valid
206.0ms	63×	body	4096	valid
192.0ms	716×	body	512	valid
37.0ms	294×	body	256	infinite
4.0ms	8×	body	2048	infinite
2.0ms	3×	body	8192	exit

Bogosity

preprocess208.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify36.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

17.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	17.6b	(-.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)
✓	0.4b	(/.f64 1 (*.f64 F F))
✓	4.4b	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	28.0b	(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)))

rewrite92.0ms (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)))))))

simplify142.0ms (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))

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	0.2b	(*.f64 (PI.f64) l)
✓	3.9b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	28.0b	(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)))

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

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

Outputs
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Outputs

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simplify166.0ms (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 (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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eval285.0ms (2.4%)

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

prune239.0ms (2%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	658	23	681
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	660	23	683

Error

0.2b

Counts

683 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	18.2b	(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))))
	44.9b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (.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)))))
	53.8b	(/.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)))))
	44.8b	(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2)) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	17.7b	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
	42.4b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	17.6b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	40.4b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
	13.2b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F) -1))
	17.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3) (*.f64 F F)))
▶	13.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
▶	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	20.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
▶	41.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	30.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (log.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	20.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
	17.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (cbrt.f64 (pow.f64 F -2)) 3) (tan.f64 (*.f64 (PI.f64) l))))
	13.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	16.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
▶	22.9b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	38.7b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	21.0b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
▶	18.5b	(*.f64 l (PI.f64))

Compiler

Compiled 914 to 572 computations (37.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
✓	0.2b	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
	0.2b	(*.f64 (PI.f64) l)
	28.0b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 46 to 16 computations (65.2% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F -1/2) (*.f64 (/.f64 (pow.f64 F -1/2) F) (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 F -2)) (*.f64 (/.f64 1 (cbrt.f64 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify147.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

174 → 194

Calls

Call 1

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

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

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))

rewrite51.0ms (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))))))))

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
✓	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.2b	(*.f64 (PI.f64) l)
	28.0b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 38 to 8 computations (78.9% saved)

series3.0ms (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	l	@	inf	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.0ms	l	@	-inf	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.0ms	F	@	-inf	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.0ms	l	@	0	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

116 → 125

Calls

Call 1

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

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

localize73.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) l)
✓	3.9b	(/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (.f64 F F))
✓	28.0b	(tan.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3)))
✓	42.0b	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))

Compiler

Compiled 56 to 26 computations (53.6% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite107.0ms (0.9%)

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	47
1	294	47
2	3505	47

Stop Event

1×	node limit

Counts

3 → 110

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))

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)))) 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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))))))))

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1544×	`associate-/r*`
1426×	`associate-/l/`
1136×	`distribute-lft-in`
962×	`associate-/r/`
466×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	331	5256
1	814	5034
2	3868	5034

Stop Event

1×	node limit

Counts

158 → 179

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 (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))))

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 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 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 4))) (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7) (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 -1 (.f64 l (.f64 (cbrt.f64 -1) (PI.f64))))) (cos.f64 (.f64 -1 (.f64 l (.f64 (cbrt.f64 -1) (PI.f64))))))
(/.f64 (sin.f64 (neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))) (cos.f64 (neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))))
(/.f64 (neg.f64 (sin.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))) (cos.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1)))))
(/.f64 (sin.f64 (.f64 l (neg.f64 (.f64 (PI.f64) (cbrt.f64 -1))))) (cos.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1)))))
(/.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 (neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))) (cos.f64 (neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))))
(/.f64 (neg.f64 (sin.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))) (cos.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1)))))
(/.f64 (sin.f64 (.f64 l (neg.f64 (.f64 (PI.f64) (cbrt.f64 -1))))) (cos.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1)))))
(/.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 (neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))) (cos.f64 (neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))))
(/.f64 (neg.f64 (sin.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))) (cos.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1)))))
(/.f64 (sin.f64 (.f64 l (neg.f64 (.f64 (PI.f64) (cbrt.f64 -1))))) (cos.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1)))))
(/.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 (neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))) (cos.f64 (neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))))
(/.f64 (neg.f64 (sin.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))) (cos.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1)))))
(/.f64 (sin.f64 (.f64 l (neg.f64 (.f64 (PI.f64) (cbrt.f64 -1))))) (cos.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(.f64 (/.f64 (PI.f64) (.f64 F F)) l)
(+.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) 1/3) (.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
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(.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))

localize72.0ms (0.6%)

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))))
✓	4.4b	(.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)))
	28.0b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 57 to 26 computations (54.4% saved)

series88.0ms (0.7%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
43.0ms	l	@	-inf	(log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))
35.0ms	l	@	inf	(log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))
6.0ms	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)))

rewrite88.0ms (0.7%)

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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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 2) 2)))) (#(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 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change 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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))))))))

simplify154.0ms (1.3%)

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)))))))
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(-.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 2) 2)
(/.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)))
(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))
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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))

eval476.0ms (4%)

Compiler: Compiled 26844 to 12158 computations (54.7% saved)

prune340.0ms (2.8%)

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	986	16	1002
Fresh	9	9	18
Picked	1	0	1
Done	0	4	4
Total	996	29	1025

Error

0.2b

Counts

1025 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	18.2b	(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))))
▶	40.0b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
	19.3b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	44.9b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (.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)))))
	53.8b	(/.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)))))
	44.8b	(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2)) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	17.7b	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
	31.2b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	40.4b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
	16.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
✓	13.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	30.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F))
▶	16.5b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
▶	13.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) 3)))
	16.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
✓	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
✓	41.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	20.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
	16.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	16.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F)))
	23.2b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 3)))
	21.1b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))))
▶	35.3b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (exp.f64 (log.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))
	34.9b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
▶	31.3b	(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
	21.0b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	18.5b	(*.f64 l (PI.f64))
	49.9b	(log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))
	47.4b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 954 to 625 computations (34.5% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) l)
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 3)
✓	5.8b	(cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
	28.0b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 69 to 24 computations (65.2% saved)

series41.0ms (0.3%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
29.0ms	l	@	inf	(pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 3)
3.0ms	l	@	0	(pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 3)
1.0ms	l	@	-inf	(cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
1.0ms	l	@	inf	(cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
1.0ms	l	@	0	(cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1068×	`*-commutative`
864×	`unswap-sqr`
778×	`associate-*r/`
694×	`associate-/r*`
678×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	270	42
2	3086	42

Stop Event

1×	node limit

Counts

2 → 222

Calls

Call 1

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

Outputs

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

simplify145.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

750×	`distribute-rgt-in`
742×	`distribute-lft-in`
704×	`associate-/l*`
552×	`associate-r`
500×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	487	8940
1	1124	8368
2	4264	8368

Stop Event

1×	node limit

Counts

238 → 327

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 l (PI.f64)) 1)
	0.2b	(*.f64 l (PI.f64))
✓	2.5b	(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))

Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts

2 → 15

Calls

6 calls:

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

rewrite77.0ms (0.6%)

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	28
1	195	20
2	2575	20

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

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

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1318×	`fma-def`
772×	`unswap-sqr`
752×	`times-frac`
698×	`distribute-lft-in`
592×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	1997
1	386	1881
2	1609	1799

Stop Event

1×	node limit

Counts

97 → 99

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

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 34 to 8 computations (76.5% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite96.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1178×	`*-commutative`
1036×	`associate-/r/`
820×	`unswap-sqr`
746×	`swap-sqr`
738×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	45
1	197	45
2	2936	45

Stop Event

1×	node limit

Counts

3 → 273

Calls

Call 1

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

Outputs

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

simplify121.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1108×	`distribute-lft-neg-in`
1024×	`associate-r`
998×	`associate-l`
890×	`*-commutative`
872×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	565	6803
1	1608	6391
2	6911	6391

Stop Event

1×	node limit

Counts

321 → 309

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 l (PI.f64)))
	0.2b	(*.f64 l (PI.f64))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)

Compiler

Compiled 18 to 8 computations (55.6% saved)

series5.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`add-sqr-sqrt`
1558×	`*-un-lft-identity`
1442×	`add-cube-cbrt`
1424×	`add-cbrt-cube`
1408×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	200	22
2	2026	22

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1256×	`associate-+r+`
1206×	`distribute-lft-in`
1166×	`associate-+l+`
1148×	`distribute-rgt-in`
784×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1261
1	234	967
2	884	677
3	2877	677

Stop Event

1×	node limit

Counts

53 → 63

Calls

Call 1

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

localize43.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.4b	(.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)))
✓	14.9b	(log.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
	28.0b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 82 to 41 computations (50% saved)

series55.0ms (0.5%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	l	@	-inf	(log.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
15.0ms	l	@	inf	(log.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
2.0ms	F	@	0	(log.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
1.0ms	l	@	0	(log.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))
1.0ms	F	@	inf	(log.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`unswap-sqr`
796×	`swap-sqr`
510×	`sqr-pow`
494×	`pow-sqr`
286×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	278	33
2	3219	33

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 2)) (log.f64 (cbrt.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) (log.f64 (sqrt.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 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simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

386×	`associate-r`
320×	`fma-def`
258×	`*-commutative`
252×	`times-frac`
244×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	286	5934
1	797	5934
2	4208	5934

Stop Event

1×

unsound

Counts

68 → 77

Calls

Call 1

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

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

eval565.0ms (4.7%)

Compiler: Compiled 30653 to 13122 computations (57.2% saved)

prune565.0ms (4.7%)

Pruning

40 alts after pruning (34 fresh and 6 done)

	Pruned	Kept	Total
New	1215	20	1235
Fresh	6	14	20
Picked	1	0	1
Done	2	6	8
Total	1224	40	1264

Error

0.1b

Counts

1264 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	40.2b	(pow.f64 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 1/4) 2) 2)
	40.4b	(pow.f64 (.f64 (cbrt.f64 (.f64 l (PI.f64))) (cbrt.f64 (sqrt.f64 (*.f64 l (PI.f64))))) 2)
✓	40.0b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
▶	19.3b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	44.9b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (.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)))))
	53.8b	(/.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)))))
	18.5b	(/.f64 (+.f64 (.f64 l (PI.f64)) 2) (/.f64 (+.f64 (.f64 l (PI.f64)) 2) (*.f64 l (PI.f64))))
	44.8b	(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2)) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	40.4b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
✓	13.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	30.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F))
	38.7b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (pow.f64 (sqrt.f64 (/.f64 F (PI.f64))) 2)) F))
✓	16.5b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
	41.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))))) 3)))
	16.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
✓	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
▶	16.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (PI.f64) F) l) F))
✓	41.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	20.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
	16.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (/.f64 l F) F) (PI.f64)))
	16.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	23.2b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 3)))
	21.1b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))))
	35.6b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) 3))))
	33.6b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (exp.f64 (log.f64 (log1p.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))))))
	59.1b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (exp.f64 (expm1.f64 (log1p.f64 (log.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))))
	35.7b	(-.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
	52.4b	(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (.f64 l (PI.f64)) 3)) (+.f64 1 (.f64 (*.f64 l (PI.f64)) (fma.f64 l (PI.f64) 1)))))
▶	47.5b	(+.f64 1 (/.f64 1 (/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))))
	47.5b	(+.f64 1 (.f64 (+.f64 (pow.f64 (.f64 l (PI.f64)) 2) -1) (/.f64 1 (fma.f64 l (PI.f64) 1))))
▶	62.0b	(+.f64 1 -1)
▶	40.0b	(.f64 (pow.f64 (.f64 l (PI.f64)) 1/4) (.f64 (pow.f64 (.f64 l (PI.f64)) 1/4) (sqrt.f64 (*.f64 l (PI.f64)))))
	19.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
	19.3b	(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
	19.3b	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
	40.0b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
	21.0b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	18.5b	(*.f64 l (PI.f64))
	49.9b	(log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))
	47.4b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 1269 to 854 computations (32.7% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 34 to 8 computations (76.5% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`*-commutative`
796×	`unswap-sqr`
682×	`swap-sqr`
466×	`associate-/l/`
466×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	45
1	190	45
2	2662	45

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

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

Outputs

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

simplify111.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1240×	`associate-/r/`
678×	`distribute-lft-neg-in`
614×	`distribute-rgt-neg-in`
574×	`associate-l`
534×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	358	4325
1	896	4139
2	4089	4139

Stop Event

1×	node limit

Counts

213 → 195

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize8.0ms (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)

series2.0ms (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	@	inf	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
0.0ms	l	@	0	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
0.0ms	l	@	-inf	(cbrt.f64 (*.f64 l (PI.f64)))
0.0ms	l	@	inf	(cbrt.f64 (*.f64 l (PI.f64)))

rewrite76.0ms (0.6%)

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)))))))))

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 61

Calls

Call 1

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

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

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 l (PI.f64)) 2)
	0.2b	(*.f64 l (PI.f64))
✓	2.5b	(+.f64 1 (/.f64 1 (/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))))
✓	15.3b	(/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))

Compiler

Compiled 68 to 42 computations (38.2% saved)

series8.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	l	@	0	(+.f64 1 (/.f64 1 (/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))))
2.0ms	l	@	inf	(+.f64 1 (/.f64 1 (/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))))
2.0ms	l	@	-inf	(+.f64 1 (/.f64 1 (/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))))
0.0ms	l	@	inf	(/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))
0.0ms	l	@	0	(/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))

rewrite98.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1526×	`associate-/r*`
880×	`associate-/l*`
728×	`associate-/r/`
346×	`add-sqr-sqrt`
336×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	101
1	347	95
2	4402	95

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (/.f64 (neg.f64 (fma.f64 l (PI.f64) 1)) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 l (PI.f64) 1) (/.f64 1 (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 (fma.f64 l (PI.f64) 1)) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))) (sqrt.f64 (/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) (*.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) (/.f64 1 (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))) 2) (cbrt.f64 (/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 l (PI.f64) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 l (PI.f64) 1)) (/.f64 1 (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1)) (fma.f64 l (PI.f64) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 l (PI.f64) 1)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 l (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 l (PI.f64) 1) 1) (/.f64 1 (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))) (/.f64 (fma.f64 l (PI.f64) 1) (sqrt.f64 (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1)) 2)) (/.f64 (fma.f64 l (PI.f64) 1) (cbrt.f64 (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 l (PI.f64) 1) (+.f64 -1 (pow.f64 (*.f64 l (PI.f64)) 4))) (+.f64 1 (pow.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 l (PI.f64) 1) (+.f64 -1 (pow.f64 (*.f64 l (PI.f64)) 6))) (+.f64 1 (-.f64 (pow.f64 (*.f64 l (PI.f64)) 4) (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (pow.f64 (*.f64 l (PI.f64)) 4))) (*.f64 (fma.f64 l (PI.f64) 1) (+.f64 1 (pow.f64 (*.f64 l (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (pow.f64 (*.f64 l (PI.f64)) 6))) (*.f64 (fma.f64 l (PI.f64) 1) (+.f64 1 (-.f64 (pow.f64 (*.f64 l (PI.f64)) 4) (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 l (PI.f64)) 2))) (neg.f64 (fma.f64 l (PI.f64) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) 1) (/.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1)) (sqrt.f64 (fma.f64 l (PI.f64) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) 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simplify154.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

838×	`associate-/l/`
822×	`associate-+l+`
700×	`associate-+r+`
602×	`+-commutative`
542×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	407	10741
1	1175	10489
2	4523	10463

Stop Event

1×	node limit

Counts

177 → 253

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (*.f64 l (PI.f64)))
✓	0.2b	(.f64 (pow.f64 (.f64 l (PI.f64)) 1/4) (sqrt.f64 (*.f64 l (PI.f64))))
✓	0.2b	(.f64 (pow.f64 (.f64 l (PI.f64)) 1/4) (.f64 (pow.f64 (.f64 l (PI.f64)) 1/4) (sqrt.f64 (*.f64 l (PI.f64)))))
	0.2b	(*.f64 l (PI.f64))

Compiler

Compiled 43 to 17 computations (60.5% saved)

series40.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	l	@	-inf	(.f64 (pow.f64 (.f64 l (PI.f64)) 1/4) (sqrt.f64 (*.f64 l (PI.f64))))
12.0ms	l	@	0	(.f64 (pow.f64 (.f64 l (PI.f64)) 1/4) (sqrt.f64 (*.f64 l (PI.f64))))
11.0ms	l	@	inf	(.f64 (pow.f64 (.f64 l (PI.f64)) 1/4) (sqrt.f64 (*.f64 l (PI.f64))))
3.0ms	l	@	-inf	(.f64 (pow.f64 (.f64 l (PI.f64)) 1/4) (.f64 (pow.f64 (.f64 l (PI.f64)) 1/4) (sqrt.f64 (*.f64 l (PI.f64)))))
0.0ms	l	@	0	(.f64 (pow.f64 (.f64 l (PI.f64)) 1/4) (.f64 (pow.f64 (.f64 l (PI.f64)) 1/4) (sqrt.f64 (*.f64 l (PI.f64)))))

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1964×	`add-sqr-sqrt`
1942×	`*-un-lft-identity`
1810×	`add-cube-cbrt`
1786×	`add-cbrt-cube`
234×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	86
1	246	24
2	3013	24

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1238×	`associate-r`
1050×	`associate-l`
1044×	`associate-+r+`
928×	`associate-+l+`
650×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	1210
1	224	790
2	813	758
3	4541	758

Stop Event

1×	node limit

Counts

52 → 37

Calls

Call 1

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

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

eval241.0ms (2%)

Compiler: Compiled 15220 to 8504 computations (44.1% saved)

prune405.0ms (3.4%)

Pruning

40 alts after pruning (31 fresh and 9 done)

	Pruned	Kept	Total
New	656	7	663
Fresh	5	24	29
Picked	1	0	1
Done	1	9	10
Total	663	40	703

Error

0.1b

Counts

703 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	40.2b	(pow.f64 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 1/4) 2) 2)
	40.4b	(pow.f64 (.f64 (cbrt.f64 (.f64 l (PI.f64))) (cbrt.f64 (sqrt.f64 (*.f64 l (PI.f64))))) 2)
	19.4b	(pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 3)
✓	40.0b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
✓	19.3b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	55.9b	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (pow.f64 (.f64 l (PI.f64)) 2) -1)) -2)) (sqrt.f64 (-.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 l (PI.f64)) 2) -1) (fma.f64 l (PI.f64) 1))))) (sqrt.f64 (-.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) -1) (fma.f64 l (PI.f64) 1)))))
	18.5b	(/.f64 (+.f64 (.f64 l (PI.f64)) 2) (/.f64 (+.f64 (.f64 l (PI.f64)) 2) (*.f64 l (PI.f64))))
	40.4b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
✓	13.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	30.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F))
	38.7b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (pow.f64 (sqrt.f64 (/.f64 F (PI.f64))) 2)) F))
✓	16.5b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
	41.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))))) 3)))
	16.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
✓	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
✓	16.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (PI.f64) F) l) F))
✓	41.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	20.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
	16.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (/.f64 l F) F) (PI.f64)))
	16.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	23.2b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 3)))
	21.1b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))))
	35.6b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) 3))))
	33.6b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (exp.f64 (log.f64 (log1p.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))))))
	59.1b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (exp.f64 (expm1.f64 (log1p.f64 (log.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))))
	35.7b	(-.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
	47.5b	(+.f64 1 (/.f64 1 (/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 l l)) -1))))
	47.5b	(+.f64 1 (/.f64 1 (/.f64 (fma.f64 l (PI.f64) 1) (+.f64 (.f64 (.f64 (*.f64 l (PI.f64)) (PI.f64)) l) -1))))
	31.6b	(+.f64 1 (/.f64 1 (/.f64 (/.f64 1 l) (PI.f64))))
	47.5b	(+.f64 1 (.f64 (+.f64 (pow.f64 (.f64 l (PI.f64)) 2) -1) (/.f64 1 (fma.f64 l (PI.f64) 1))))
✓	62.0b	(+.f64 1 -1)
	19.8b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) 2) 3) (cbrt.f64 (*.f64 l (PI.f64))))
	19.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
	19.5b	(.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)))
	19.3b	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
	40.0b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
	21.0b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	18.5b	(*.f64 l (PI.f64))
	49.9b	(log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))
	47.4b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 601 to 425 computations (29.3% saved)

regimes710.0ms (5.9%)

Counts

68 → 3

Calls

Call 1

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

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

Calls

6 calls:

161.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
158.0ms	F
119.0ms	l
107.0ms	(*.f64 F F)
76.0ms	(*.f64 (PI.f64) l)

Results

Error	Segments	Branch
7.4b	3	`F`
0.4b	3	`l`
7.0b	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0.4b	3	`(*.f64 (PI.f64) l)`
9.0b	2	`(/.f64 1 (*.f64 F F))`
8.3b	2	`(*.f64 F F)`

Compiler

Compiled 1058 to 481 computations (54.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.948163273753078e-11	9957.223437090603
0.0ms	-36504203314236870.0	-132055.53824463452

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes236.0ms (2%)

Counts

24 → 3

Calls

Call 1

Inputs
(+.f64 1 -1)
(*.f64 l (PI.f64))
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(+.f64 1 (/.f64 1 (/.f64 (/.f64 1 l) (PI.f64))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (/.f64 l F) F) (PI.f64)))
(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (PI.f64) F) l) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
(log1p.f64 (expm1.f64 (*.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) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))

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

Calls

6 calls:

60.0ms	(*.f64 (PI.f64) l)
48.0ms	l
45.0ms	F
36.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
24.0ms	(*.f64 F F)

Results

Error	Segments	Branch
7.4b	3	`F`
0.4b	3	`l`
7.0b	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0.4b	3	`(*.f64 (PI.f64) l)`
9.1b	2	`(/.f64 1 (*.f64 F F))`
8.3b	2	`(*.f64 F F)`

Compiler

Compiled 262 to 110 computations (58% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.948163273753078e-11	9957.223437090603
0.0ms	-36504203314236870.0	-132055.53824463452

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes186.0ms (1.5%)

Counts

21 → 3

Calls

Call 1

Inputs
(+.f64 1 -1)
(*.f64 l (PI.f64))
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(+.f64 1 (/.f64 1 (/.f64 (/.f64 1 l) (PI.f64))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (/.f64 l F) F) (PI.f64)))
(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (PI.f64) F) l) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
(log1p.f64 (expm1.f64 (*.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) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

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

Calls

4 calls:

91.0ms	(*.f64 (PI.f64) l)
42.0ms	F
28.0ms	l
21.0ms	(*.f64 F F)

Results

Error	Segments	Branch
8.5b	3	`F`
0.8b	3	`l`
0.8b	3	`(*.f64 (PI.f64) l)`
8.5b	2	`(*.f64 F F)`

Compiler

Compiled 199 to 84 computations (57.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.948163273753078e-11	9957.223437090603
0.0ms	-12.300014351605922	-3.682494791092591e-5

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes85.0ms (0.7%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	(*.f64 F F)
24.0ms	F
18.0ms	l

Results

Error	Segments	Branch
10.8b	3	`F`
0.8b	3	`l`
10.7b	4	`(*.f64 F F)`

Compiler

Compiled 117 to 51 computations (56.4% saved)

bsearch54.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	2.5299789470385274e-11	3169.482658966883
26.0ms	-3.9152161683186733	-1.1721744978250848e-5

Results

40.0ms	304×	body	256	valid
10.0ms	73×	body	256	infinite

Compiler

Compiled 401 to 280 computations (30.2% saved)

regimes72.0ms (0.6%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	F
22.0ms	(*.f64 F F)
18.0ms	l

Results

Error	Segments	Branch
10.8b	3	`F`
0.9b	3	`l`
10.7b	4	`(*.f64 F F)`

Compiler

Compiled 106 to 48 computations (54.7% saved)

bsearch59.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	2.5299789470385274e-11	3169.482658966883
26.0ms	-3.9152161683186733	-1.1721744978250848e-5

Results

40.0ms	304×	body	256	valid
15.0ms	70×	body	256	infinite

Compiler

Compiled 401 to 280 computations (30.2% saved)

regimes51.0ms (0.4%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	(*.f64 F F)
18.0ms	F
14.0ms	l

Results

Error	Segments	Branch
10.8b	3	`F`
0.9b	3	`l`
10.7b	4	`(*.f64 F F)`

Compiler

Compiled 62 to 38 computations (38.7% saved)

bsearch77.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	2.5299789470385274e-11	3169.482658966883
47.0ms	-3.9152161683186733	-1.1721744978250848e-5

Results

61.0ms	304×	body	256	valid
12.0ms	96×	body	256	infinite

Compiler

Compiled 401 to 280 computations (30.2% saved)

regimes43.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	(*.f64 F F)
13.0ms	F
13.0ms	l

Results

Error	Segments	Branch
12.4b	3	`F`
5.3b	3	`l`
11.4b	4	`(*.f64 F F)`

Compiler

Compiled 51 to 33 computations (35.3% saved)

bsearch58.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	2.5299789470385274e-11	3169.482658966883
29.0ms	-3.9152161683186733	-1.1721744978250848e-5

Results

41.0ms	304×	body	256	valid
13.0ms	79×	body	256	infinite

Compiler

Compiled 363 to 261 computations (28.1% saved)

regimes9.0ms (0.1%)

Accuracy

Total -44.0b remaining (-237.9%)

Threshold costs -44.0b (-237.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	F
4.0ms	l

Results

Error	Segments	Branch
18.5b	1	`F`
18.5b	1	`l`

Compiler

Compiled 37 to 26 computations (29.7% saved)

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

52×	`+-commutative`
48×	`*-commutative`
42×	`sub-neg`
34×	`neg-mul-1`
34×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	549
1	115	549
2	160	549
3	202	549
4	227	549
5	237	549
6	239	549

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) -20000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7737125245533627/77371252455336267181195264) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) -20000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7737125245533627/77371252455336267181195264) (-.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) -10) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7737125245533627/77371252455336267181195264) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F)) (*.f64 l (PI.f64))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (PI.f64) F) l) F)) (.f64 l (PI.f64))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F))) (.f64 l (PI.f64))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(+.f64 1 -1)

Outputs
(if (<=.f64 (.f64 (PI.f64) l) -20000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7737125245533627/77371252455336267181195264) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (.f64 l (PI.f64))))
(if (or (<=.f64 (.f64 (PI.f64) l) -20000000000000000) (not (<=.f64 (.f64 (PI.f64) l) 7737125245533627/77371252455336267181195264))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(if (<=.f64 (.f64 (PI.f64) l) -20000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7737125245533627/77371252455336267181195264) (-.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) -20000000000000000) (not (<=.f64 (.f64 (PI.f64) l) 7737125245533627/77371252455336267181195264))) (.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) -10) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7737125245533627/77371252455336267181195264) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F)) (*.f64 l (PI.f64))))
(if (or (<=.f64 (.f64 (PI.f64) l) -10) (not (<=.f64 (.f64 (PI.f64) l) 7737125245533627/77371252455336267181195264))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F)))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (PI.f64) F) l) F)) (.f64 l (PI.f64))))
(if (or (<=.f64 l -1/2) (not (<=.f64 l 1/2))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (/.f64 (*.f64 l (/.f64 (PI.f64) F)) F)))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -1/2) (not (<=.f64 l 1/2))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -1/2) (not (<=.f64 l 1/2))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -1/2) (not (<=.f64 l 1/2))) (.f64 (PI.f64) l) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(+.f64 1 -1)
0

Compiler

Compiled 197 to 114 computations (42.1% saved)

soundness92.0ms (0.8%)

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)

end70.0ms (0.6%)

Compiler: Compiled 181 to 81 computations (55.2% saved)