Details

analyze303.0ms (2.5%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.9s (23.5%)

Results

1.1s	1051×	body	2048	valid
779.0ms	1946×	body	1024	valid
559.0ms	4479×	body	256	valid
239.0ms	723×	body	512	valid
190.0ms	57×	body	4096	valid
39.0ms	297×	body	256	infinite
5.0ms	9×	body	2048	infinite
3.0ms	6×	body	8192	exit

Bogosity

preprocess203.0ms (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)

simplify38.0ms (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

18.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	18.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 30 to 18 computations (40% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (PI.f64) l)
✓	0.5b	(/.f64 1 (*.f64 F F))
✓	5.1b	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	30.8b	(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)))

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 233

Calls

Call 1

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

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

simplify135.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

293 → 325

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) l)
✓	5.2b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	30.8b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`*-commutative`
976×	`associate-/r*`
968×	`associate-*r/`
820×	`associate-/l*`
708×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	224	25
2	2910	25

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

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

Outputs

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

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1198×	`associate-*r/`
1126×	`associate-/l*`
1012×	`times-frac`
750×	`associate-*l/`
674×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	2913
1	485	2789
2	1856	2759

Stop Event

1×	node limit

Counts

71 → 75

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

eval186.0ms (1.5%)

Compiler: Compiled 12216 to 4802 computations (60.7% saved)

prune210.0ms (1.7%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	496	26	522
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	496	28	524

Error

12.8b

Counts

524 → 28

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.3b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	19.0b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	36.6b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
	18.4b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3))
	18.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3) (*.f64 F F)))
▶	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	16.3b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	21.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
	36.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
✓	18.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	21.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (fabs.f64 (.f64 l (PI.f64)))) (*.f64 F F)))
	26.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
▶	36.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (exp.f64 (log.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	18.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	22.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	21.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
	18.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (cbrt.f64 (pow.f64 F -2)) 3) (tan.f64 (*.f64 (PI.f64) l))))
	13.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
▶	21.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
	18.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3)))
✓	18.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	18.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (.f64 (PI.f64) l))))
▶	18.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (neg.f64 (/.f64 (/.f64 -1 F) F)) (tan.f64 (*.f64 (PI.f64) l))))
	18.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (log1p.f64 (pow.f64 F -2))) (tan.f64 (*.f64 (PI.f64) l))))
	42.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
	21.1b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	43.1b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

Compiler

Compiled 862 to 562 computations (34.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
	0.2b	(*.f64 (PI.f64) l)
✓	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	30.8b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 38 to 8 computations (78.9% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite70.0ms (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))))))))

simplify74.0ms (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)))))
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(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 1 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) 2))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) 2) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2) (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 1 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) F) (/.f64 -1 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (sqrt.f64 F)) (/.f64 (/.f64 1 F) (sqrt.f64 F)))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (sqrt.f64 F)) (/.f64 1 (*.f64 (sqrt.f64 F) F)))
(/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (sqrt.f64 F)) (.f64 F (sqrt.f64 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (*.f64 F (sqrt.f64 F)) (sqrt.f64 F)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (/.f64 1 F) (cbrt.f64 F)))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 1 (*.f64 (cbrt.f64 F) F)))
(/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F))) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (*.f64 F (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (sqrt.f64 F)))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (sqrt.f64 F)) (/.f64 1 (*.f64 (sqrt.f64 F) F)))
(/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (sqrt.f64 F)) (.f64 F (sqrt.f64 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (*.f64 F (sqrt.f64 F)) (sqrt.f64 F)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (cbrt.f64 F)))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 1 (*.f64 (cbrt.f64 F) F)))
(/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F))) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (*.f64 F (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (cbrt.f64 F)))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 1 (*.f64 (cbrt.f64 F) F)))
(/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F))) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (*.f64 F (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2) (sqrt.f64 F)) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (sqrt.f64 F)))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (sqrt.f64 F)) (/.f64 1 (*.f64 (sqrt.f64 F) F)))
(/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (sqrt.f64 F)) (.f64 F (sqrt.f64 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (*.f64 F (sqrt.f64 F)) (sqrt.f64 F)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F)) 2) (pow.f64 (cbrt.f64 F) 2)))
(pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 1)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) 3)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 3) 1/3)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(pow.f64 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) -1)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 2))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F)) 2))
(fabs.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F)))
(log.f64 (exp.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 3))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(exp.f64 (.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) 1))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
✓	0.2b	(.f64 (/.f64 l (.f64 F F)) (PI.f64))
	0.2b	(*.f64 (PI.f64) l)
✓	10.3b	(/.f64 l (*.f64 F F))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series5.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite134.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1758×	`associate-/r*`
1530×	`associate-/l*`
678×	`distribute-lft-in`
326×	`associate-+l+`
262×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	245	61
2	3592	61

Stop Event

1×	node limit

Counts

3 → 327

Calls

Call 1

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

Outputs

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

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

simplify201.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

900×	`associate-r`
878×	`associate-/l*`
764×	`associate-l`
720×	`associate-/l/`
644×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	786	23129
1	2193	19977

Stop Event

1×	node limit

Counts

399 → 466

Calls

Call 1

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

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

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 -1 F) F)
	0.2b	(*.f64 (PI.f64) l)
✓	5.1b	(.f64 (neg.f64 (/.f64 (/.f64 -1 F) F)) (tan.f64 (.f64 (PI.f64) l)))
	30.8b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 53 to 26 computations (50.9% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`associate-/l*`
1174×	`associate-/r*`
776×	`swap-sqr`
566×	`associate-/l/`
390×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	290	44
2	3768	38

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

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

Outputs

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

simplify155.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1520×	`distribute-rgt-in`
1504×	`distribute-lft-in`
558×	`distribute-lft-neg-in`
524×	`associate-/l*`
438×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	370	6025
1	1030	5769
2	4268	5769

Stop Event

1×	node limit

Counts

173 → 213

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) l)
✓	2.4b	(/.f64 (tan.f64 (exp.f64 (log.f64 (.f64 (PI.f64) l)))) (.f64 F F))
✓	3.3b	(exp.f64 (log.f64 (*.f64 (PI.f64) l)))
✓	18.6b	(tan.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) l))))

Compiler

Compiled 50 to 10 computations (80% saved)

series2.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1154×	`associate-*r/`
1002×	`associate-*l/`
982×	`associate-/r*`
828×	`associate-/l*`
364×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	254	47
2	3123	47

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

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

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

simplify105.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1488×	`associate-/l/`
1404×	`distribute-lft-in`
1184×	`associate-/r/`
496×	`associate-r`
490×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	339	5375
1	832	5185
2	4147	5185

Stop Event

1×	node limit

Counts

165 → 177

Calls

Call 1

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) l)
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
	5.2b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	30.8b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 49 to 14 computations (71.4% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite78.0ms (0.6%)

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	9
1	200	9
2	2026	9

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1076×	`distribute-lft-out`
898×	`distribute-rgt-in`
886×	`distribute-lft-in`
658×	`associate-r`
588×	`count-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	673
1	163	511
2	379	349
3	1736	349
4	5641	349

Stop Event

1×	node limit

Counts

29 → 33

Calls

Call 1

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

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

eval568.0ms (4.6%)

Compiler: Compiled 37111 to 16405 computations (55.8% saved)

prune549.0ms (4.5%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	1436	19	1455
Fresh	16	5	21
Picked	0	1	1
Done	5	1	6
Total	1457	26	1483

Error

0.3b

Counts

1483 → 26

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.2b	(pow.f64 (sqrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))) 2)
	22.3b	(pow.f64 (cbrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))) 3)
	51.2b	(/.f64 (-.f64 (pow.f64 (.f64 l (PI.f64)) 2) (/.f64 (pow.f64 (.f64 l (PI.f64)) 2) (pow.f64 F 4))) (.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 l (.f64 l (pow.f64 F -2))))) (sqrt.f64 (.f64 (PI.f64) (+.f64 l (*.f64 l (pow.f64 F -2)))))))
	21.6b	(/.f64 1 (/.f64 1 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))))
✓	36.3b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	13.8b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	19.0b	(-.f64 (.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
▶	19.0b	(-.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	36.3b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	36.5b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) F) 2))
	16.3b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
	16.3b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
	16.3b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
✓	18.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	16.3b	(-.f64 (*.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 l (/.f64 F (PI.f64))))))
	18.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (cbrt.f64 (pow.f64 F -2)) 3) (tan.f64 (*.f64 (PI.f64) l))))
	18.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (.f64 (PI.f64) l))))
	42.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
	43.8b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
	52.2b	(.f64 (/.f64 (-.f64 (pow.f64 (.f64 l (PI.f64)) 3) (pow.f64 (.f64 (.f64 l (PI.f64)) (pow.f64 F -2)) 3)) (-.f64 (pow.f64 (.f64 l (PI.f64)) 4) (.f64 (.f64 (PI.f64) (+.f64 l (.f64 l (pow.f64 F -2)))) (.f64 (.f64 (PI.f64) (+.f64 l (.f64 l (pow.f64 F -2)))) (pow.f64 (.f64 (.f64 l (PI.f64)) (pow.f64 F -2)) 2))))) (-.f64 (pow.f64 (.f64 l (PI.f64)) 2) (.f64 l (.f64 (PI.f64) (.f64 (pow.f64 F -2) (.f64 (PI.f64) (+.f64 l (*.f64 l (pow.f64 F -2)))))))))
	56.0b	(.f64 (/.f64 (PI.f64) (.f64 F F)) (neg.f64 l))
	47.4b	(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 l (PI.f64)) 2) (.f64 (.f64 l (.f64 (pow.f64 F -2) (PI.f64))) (.f64 (PI.f64) (+.f64 l (.f64 l (pow.f64 F -2))))))) (-.f64 (pow.f64 (.f64 l (PI.f64)) 3) (pow.f64 (.f64 l (.f64 (pow.f64 F -2) (PI.f64))) 3)))
	21.5b	(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
▶	12.8b	(*.f64 l (PI.f64))
▶	56.0b	(neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))

Compiler

Compiled 963 to 643 computations (33.2% saved)

localize3.0ms (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))

rewrite52.0ms (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))))))))

simplify62.0ms (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))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 l (PI.f64))
✓	10.4b	(/.f64 (.f64 l (PI.f64)) (.f64 F F))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1570×	`associate-*r/`
1082×	`associate-*l/`
1008×	`*-commutative`
794×	`unswap-sqr`
660×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	189	21
2	2725	21

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1198×	`associate-/r*`
810×	`associate-+r-`
804×	`*-commutative`
716×	`associate-+l-`
714×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	2999
1	577	2827
2	2158	2765
3	6124	2765

Stop Event

1×	node limit

Counts

105 → 98

Calls

Call 1

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 l (/.f64 F (PI.f64)))
	0.2b	(*.f64 (PI.f64) l)
✓	0.3b	(/.f64 F (PI.f64))
✓	0.4b	(/.f64 1 (/.f64 F (/.f64 l (/.f64 F (PI.f64)))))

Compiler

Compiled 46 to 13 computations (71.7% saved)

series6.0ms (0%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	F	@	-inf	(/.f64 l (/.f64 F (PI.f64)))
0.0ms	l	@	inf	(/.f64 l (/.f64 F (PI.f64)))
0.0ms	F	@	inf	(/.f64 F (PI.f64))
0.0ms	F	@	-inf	(/.f64 F (PI.f64))
0.0ms	F	@	0	(/.f64 F (PI.f64))

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1724×	`associate-/r/`
924×	`swap-sqr`
780×	`associate-/l/`
664×	`distribute-lft-neg-in`
594×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	238	45
2	3414	45

Stop Event

1×	node limit

Counts

3 → 229

Calls

Call 1

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

Outputs

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

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1856×	`distribute-lft-in`
858×	`associate-r`
804×	`associate-l`
764×	`*-commutative`
748×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	515	5385
1	1414	5307
2	6508	5307

Stop Event

1×	node limit

Counts

277 → 276

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))) 2)
✓	3.3b	(sqrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2)))))
✓	9.9b	(*.f64 l (pow.f64 F -2))

Compiler

Compiled 53 to 33 computations (37.7% saved)

series11.0ms (0.1%)

Counts

4 → 72

Calls

24 calls:

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

rewrite103.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`distribute-rgt-in`
702×	`distribute-lft-in`
694×	`associate-*r/`
596×	`associate-*l/`
308×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	98
1	319	98
2	3695	98

Stop Event

1×	node limit

Counts

4 → 228

Calls

Call 1

Inputs
(*.f64 l (pow.f64 F -2))
(sqrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2)))))
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))) 2)
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 l (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 l F) 1) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (/.f64 l F)) F)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 l (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 l) F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 l (pow.f64 F -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 l (pow.f64 F -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 F -4) (.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 l) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 l (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 l (pow.f64 F -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 l (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 l (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 l (pow.f64 F -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (pow.f64 F -2))))))))
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simplify203.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

924×	`associate-+r+`
900×	`associate-+l+`
880×	`associate-/l*`
756×	`+-commutative`
746×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	470	16066
1	1290	14798
2	6119	14742

Stop Event

1×	node limit

Counts

300 → 267

Calls

Call 1

Inputs
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(.f64 (/.f64 (sqrt.f64 -1) F) (sqrt.f64 (.f64 l (PI.f64))))
(+.f64 (.f64 (/.f64 (sqrt.f64 -1) F) (sqrt.f64 (.f64 l (PI.f64)))) (.f64 1/2 (.f64 (/.f64 F (sqrt.f64 -1)) (sqrt.f64 (*.f64 l (PI.f64))))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 F 3) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (.f64 l (PI.f64))))) (+.f64 (.f64 (/.f64 (sqrt.f64 -1) F) (sqrt.f64 (.f64 l (PI.f64)))) (.f64 1/2 (.f64 (/.f64 F (sqrt.f64 -1)) (sqrt.f64 (.f64 l (PI.f64)))))))
(+.f64 (.f64 1/16 (.f64 (/.f64 (pow.f64 F 5) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (.f64 l (PI.f64))))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 F 3) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (.f64 l (PI.f64))))) (+.f64 (.f64 (/.f64 (sqrt.f64 -1) F) (sqrt.f64 (.f64 l (PI.f64)))) (.f64 1/2 (.f64 (/.f64 F (sqrt.f64 -1)) (sqrt.f64 (*.f64 l (PI.f64))))))))
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(/.f64 (.f64 1 (.f64 (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3)) (PI.f64))) (fma.f64 l l (.f64 (*.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2)))))
(/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 l (.f64 l (pow.f64 F -2))))) (sqrt.f64 (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4))))) (sqrt.f64 (.f64 l (+.f64 (pow.f64 F -2) 1))))
(/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 l (.f64 l (pow.f64 F -2))))) (sqrt.f64 (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3)))) (sqrt.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))))
(/.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 (-.f64 l (.f64 l (pow.f64 F -2)))) 2)) (cbrt.f64 (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4))))) (cbrt.f64 (.f64 l (+.f64 (pow.f64 F -2) 1))))
(/.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 (-.f64 l (.f64 l (pow.f64 F -2)))) 2)) (cbrt.f64 (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3)))) (cbrt.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4))))) (sqrt.f64 (*.f64 l (+.f64 (pow.f64 F -2) 1))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3)))) (sqrt.f64 (fma.f64 l l (.f64 (*.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))))
(/.f64 (.f64 (-.f64 (.f64 l l) (neg.f64 (.f64 (pow.f64 F -4) (neg.f64 (.f64 l l))))) (PI.f64)) (-.f64 l (*.f64 (pow.f64 F -2) (neg.f64 l))))
(/.f64 (.f64 (+.f64 (pow.f64 l 3) (pow.f64 (.f64 (pow.f64 F -2) (neg.f64 l)) 3)) (PI.f64)) (+.f64 (.f64 l l) (.f64 (.f64 (pow.f64 F -2) (neg.f64 l)) (-.f64 (.f64 (pow.f64 F -2) (neg.f64 l)) l))))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4)))) (PI.f64)) (.f64 (neg.f64 l) (+.f64 (pow.f64 F -2) 1)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3))) (PI.f64)) (neg.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))))
(/.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4)))) 1) (*.f64 l (+.f64 (pow.f64 F -2) 1)))
(/.f64 (.f64 (.f64 (PI.f64) (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3))) 1) (fma.f64 l l (.f64 (*.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) 1) (*.f64 l (+.f64 (pow.f64 F -2) 1)))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3)) (PI.f64)) 1) (fma.f64 l l (.f64 (*.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4)))) (.f64 (sqrt.f64 (-.f64 l (.f64 l (pow.f64 F -2)))) (PI.f64))) (sqrt.f64 (.f64 l (+.f64 (pow.f64 F -2) 1))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3))) (.f64 (sqrt.f64 (-.f64 l (.f64 l (pow.f64 F -2)))) (PI.f64))) (sqrt.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))))
(/.f64 (/.f64 (.f64 (PI.f64) (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4)))) l) (+.f64 (pow.f64 F -2) 1))
(/.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4)))) 1) (.f64 l (+.f64 (pow.f64 F -2) 1)))
(/.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4)))) (sqrt.f64 (.f64 l (+.f64 (pow.f64 F -2) 1)))) (sqrt.f64 (*.f64 l (+.f64 (pow.f64 F -2) 1))))
(/.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4)))) (.f64 (cbrt.f64 (.f64 l (+.f64 (pow.f64 F -2) 1))) (cbrt.f64 (.f64 l (+.f64 (pow.f64 F -2) 1))))) (cbrt.f64 (*.f64 l (+.f64 (pow.f64 F -2) 1))))
(/.f64 (/.f64 (.f64 (PI.f64) (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4)))) (+.f64 (pow.f64 F -2) 1)) l)
(/.f64 (/.f64 (.f64 (PI.f64) (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3))) 1) (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2)))))
(/.f64 (/.f64 (.f64 (PI.f64) (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3))) (sqrt.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2)))))) (sqrt.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))))
(/.f64 (/.f64 (.f64 (PI.f64) (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3))) (.f64 (cbrt.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))) (cbrt.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))))) (cbrt.f64 (fma.f64 l l (.f64 (*.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))))
(/.f64 (/.f64 (.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) l) (+.f64 (pow.f64 F -2) 1))
(/.f64 (/.f64 (.f64 (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) 1) (.f64 l (+.f64 (pow.f64 F -2) 1)))
(/.f64 (/.f64 (.f64 (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) (sqrt.f64 (.f64 l (+.f64 (pow.f64 F -2) 1)))) (sqrt.f64 (*.f64 l (+.f64 (pow.f64 F -2) 1))))
(/.f64 (/.f64 (.f64 (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) (.f64 (cbrt.f64 (.f64 l (+.f64 (pow.f64 F -2) 1))) (cbrt.f64 (.f64 l (+.f64 (pow.f64 F -2) 1))))) (cbrt.f64 (*.f64 l (+.f64 (pow.f64 F -2) 1))))
(/.f64 (/.f64 (.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) (+.f64 (pow.f64 F -2) 1)) l)
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3)) (PI.f64)) 1) (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2)))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3)) (PI.f64)) (sqrt.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2)))))) (sqrt.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3)) (PI.f64)) (.f64 (cbrt.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))) (cbrt.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))))) (cbrt.f64 (fma.f64 l l (.f64 (*.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))))
(pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2)))) 1)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))) 2)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2)))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2)))) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 l (*.f64 l (pow.f64 F -2)))) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2)))))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2)))) 3))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (-.f64 l (.f64 l (pow.f64 F -2))) 3)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 l (.f64 l (pow.f64 F -2))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))))
(exp.f64 (log.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))))

Outputs
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(.f64 (/.f64 (sqrt.f64 -1) F) (sqrt.f64 (.f64 l (PI.f64))))
(+.f64 (.f64 (/.f64 (sqrt.f64 -1) F) (sqrt.f64 (.f64 l (PI.f64)))) (.f64 1/2 (.f64 (/.f64 F (sqrt.f64 -1)) (sqrt.f64 (*.f64 l (PI.f64))))))
(fma.f64 (/.f64 (sqrt.f64 -1) F) (sqrt.f64 (.f64 l (PI.f64))) (.f64 (.f64 1/2 (/.f64 F (sqrt.f64 -1))) (sqrt.f64 (.f64 l (PI.f64)))))
(.f64 (sqrt.f64 (.f64 l (PI.f64))) (+.f64 (/.f64 (sqrt.f64 -1) F) (*.f64 1/2 (/.f64 F (sqrt.f64 -1)))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 F 3) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (.f64 l (PI.f64))))) (+.f64 (.f64 (/.f64 (sqrt.f64 -1) F) (sqrt.f64 (.f64 l (PI.f64)))) (.f64 1/2 (.f64 (/.f64 F (sqrt.f64 -1)) (sqrt.f64 (.f64 l (PI.f64)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 (pow.f64 F 3) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 (/.f64 (sqrt.f64 -1) F) (sqrt.f64 (.f64 l (PI.f64))) (.f64 (.f64 1/2 (/.f64 F (sqrt.f64 -1))) (sqrt.f64 (.f64 l (PI.f64))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 (/.f64 (pow.f64 F 3) (sqrt.f64 -1)) -1)) (.f64 (sqrt.f64 (.f64 l (PI.f64))) (+.f64 (/.f64 (sqrt.f64 -1) F) (*.f64 1/2 (/.f64 F (sqrt.f64 -1))))))
(+.f64 (.f64 1/16 (.f64 (/.f64 (pow.f64 F 5) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (.f64 l (PI.f64))))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 F 3) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (.f64 l (PI.f64))))) (+.f64 (.f64 (/.f64 (sqrt.f64 -1) F) (sqrt.f64 (.f64 l (PI.f64)))) (.f64 1/2 (.f64 (/.f64 F (sqrt.f64 -1)) (sqrt.f64 (*.f64 l (PI.f64))))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 (pow.f64 F 5) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 (pow.f64 F 3) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 (/.f64 (sqrt.f64 -1) F) (sqrt.f64 (.f64 l (PI.f64))) (.f64 (.f64 1/2 (/.f64 F (sqrt.f64 -1))) (sqrt.f64 (.f64 l (PI.f64)))))))
(+.f64 (.f64 (sqrt.f64 (.f64 l (PI.f64))) (+.f64 (/.f64 (sqrt.f64 -1) F) (.f64 1/2 (/.f64 F (sqrt.f64 -1))))) (.f64 (sqrt.f64 (.f64 l (PI.f64))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 F 5) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 -1/8 (/.f64 (/.f64 (pow.f64 F 3) (sqrt.f64 -1)) -1)))))
(sqrt.f64 (*.f64 l (PI.f64)))
(+.f64 (sqrt.f64 (.f64 l (PI.f64))) (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 F 2)) (sqrt.f64 (.f64 l (PI.f64))))))
(+.f64 (sqrt.f64 (.f64 l (PI.f64))) (.f64 -1/2 (.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 1 (*.f64 F F)))))
(.f64 (+.f64 (/.f64 -1/2 (.f64 F F)) 1) (sqrt.f64 (*.f64 l (PI.f64))))
(.f64 (+.f64 1 (/.f64 -1/2 (.f64 F F))) (sqrt.f64 (*.f64 l (PI.f64))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 1 (pow.f64 F 4)) (sqrt.f64 (.f64 l (PI.f64))))) (+.f64 (sqrt.f64 (.f64 l (PI.f64))) (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 F 2)) (sqrt.f64 (*.f64 l (PI.f64)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 1 (pow.f64 F 4))) (+.f64 (sqrt.f64 (.f64 l (PI.f64))) (.f64 -1/2 (.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 1 (*.f64 F F))))))
(fma.f64 -1/8 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) (pow.f64 F 4)) (.f64 (+.f64 (/.f64 -1/2 (.f64 F F)) 1) (sqrt.f64 (.f64 l (PI.f64)))))
(fma.f64 -1/8 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) (pow.f64 F 4)) (.f64 (+.f64 1 (/.f64 -1/2 (.f64 F F))) (sqrt.f64 (.f64 l (PI.f64)))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 1 (pow.f64 F 4)) (sqrt.f64 (.f64 l (PI.f64))))) (+.f64 (.f64 -1/16 (.f64 (/.f64 1 (pow.f64 F 6)) (sqrt.f64 (.f64 l (PI.f64))))) (+.f64 (sqrt.f64 (.f64 l (PI.f64))) (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 F 2)) (sqrt.f64 (.f64 l (PI.f64))))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 1 (pow.f64 F 4))) (fma.f64 -1/16 (.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 1 (pow.f64 F 6))) (+.f64 (sqrt.f64 (.f64 l (PI.f64))) (.f64 -1/2 (.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 1 (*.f64 F F)))))))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 (.f64 F F)) 1) (sqrt.f64 (.f64 l (PI.f64)))) (.f64 (sqrt.f64 (*.f64 l (PI.f64))) (+.f64 (/.f64 -1/8 (pow.f64 F 4)) (/.f64 -1/16 (pow.f64 F 6)))))
(+.f64 (.f64 (+.f64 1 (/.f64 -1/2 (.f64 F F))) (sqrt.f64 (.f64 l (PI.f64)))) (.f64 (sqrt.f64 (*.f64 l (PI.f64))) (+.f64 (/.f64 -1/8 (pow.f64 F 4)) (/.f64 -1/16 (pow.f64 F 6)))))
(sqrt.f64 (*.f64 l (PI.f64)))
(+.f64 (sqrt.f64 (.f64 l (PI.f64))) (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 F 2)) (sqrt.f64 (.f64 l (PI.f64))))))
(+.f64 (sqrt.f64 (.f64 l (PI.f64))) (.f64 -1/2 (.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 1 (*.f64 F F)))))
(.f64 (+.f64 (/.f64 -1/2 (.f64 F F)) 1) (sqrt.f64 (*.f64 l (PI.f64))))
(.f64 (+.f64 1 (/.f64 -1/2 (.f64 F F))) (sqrt.f64 (*.f64 l (PI.f64))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 1 (pow.f64 F 4)) (sqrt.f64 (.f64 l (PI.f64))))) (+.f64 (sqrt.f64 (.f64 l (PI.f64))) (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 F 2)) (sqrt.f64 (*.f64 l (PI.f64)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 1 (pow.f64 F 4))) (+.f64 (sqrt.f64 (.f64 l (PI.f64))) (.f64 -1/2 (.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 1 (*.f64 F F))))))
(fma.f64 -1/8 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) (pow.f64 F 4)) (.f64 (+.f64 (/.f64 -1/2 (.f64 F F)) 1) (sqrt.f64 (.f64 l (PI.f64)))))
(fma.f64 -1/8 (/.f64 (sqrt.f64 (.f64 l (PI.f64))) (pow.f64 F 4)) (.f64 (+.f64 1 (/.f64 -1/2 (.f64 F F))) (sqrt.f64 (.f64 l (PI.f64)))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 1 (pow.f64 F 4)) (sqrt.f64 (.f64 l (PI.f64))))) (+.f64 (.f64 -1/16 (.f64 (/.f64 1 (pow.f64 F 6)) (sqrt.f64 (.f64 l (PI.f64))))) (+.f64 (sqrt.f64 (.f64 l (PI.f64))) (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 F 2)) (sqrt.f64 (.f64 l (PI.f64))))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 1 (pow.f64 F 4))) (fma.f64 -1/16 (.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 1 (pow.f64 F 6))) (+.f64 (sqrt.f64 (.f64 l (PI.f64))) (.f64 -1/2 (.f64 (sqrt.f64 (.f64 l (PI.f64))) (/.f64 1 (*.f64 F F)))))))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 (.f64 F F)) 1) (sqrt.f64 (.f64 l (PI.f64)))) (.f64 (sqrt.f64 (*.f64 l (PI.f64))) (+.f64 (/.f64 -1/8 (pow.f64 F 4)) (/.f64 -1/16 (pow.f64 F 6)))))
(+.f64 (.f64 (+.f64 1 (/.f64 -1/2 (.f64 F F))) (sqrt.f64 (.f64 l (PI.f64)))) (.f64 (sqrt.f64 (*.f64 l (PI.f64))) (+.f64 (/.f64 -1/8 (pow.f64 F 4)) (/.f64 -1/16 (pow.f64 F 6)))))
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(/.f64 (.f64 (.f64 (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) 1) (*.f64 l (+.f64 (pow.f64 F -2) 1)))
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(/.f64 (PI.f64) (/.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -2) (pow.f64 F -4)))) (-.f64 (pow.f64 l 3) (pow.f64 (*.f64 l (pow.f64 F -2)) 3))))
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(/.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4)))) (.f64 (cbrt.f64 (.f64 l (+.f64 (pow.f64 F -2) 1))) (cbrt.f64 (.f64 l (+.f64 (pow.f64 F -2) 1))))) (cbrt.f64 (*.f64 l (+.f64 (pow.f64 F -2) 1))))
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(/.f64 (/.f64 (.f64 (PI.f64) (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3))) (sqrt.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2)))))) (sqrt.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))))
(/.f64 (PI.f64) (/.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -2) (pow.f64 F -4)))) (-.f64 (pow.f64 l 3) (pow.f64 (*.f64 l (pow.f64 F -2)) 3))))
(.f64 (/.f64 (PI.f64) (.f64 (+.f64 (+.f64 (pow.f64 F -2) (pow.f64 F -4)) 1) (.f64 l l))) (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3)))
(.f64 (/.f64 (PI.f64) (.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 F -4))) (.f64 l l))) (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3)))
(/.f64 (/.f64 (.f64 (PI.f64) (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3))) (.f64 (cbrt.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))) (cbrt.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))))) (cbrt.f64 (fma.f64 l l (.f64 (*.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))))
(/.f64 (PI.f64) (/.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -2) (pow.f64 F -4)))) (-.f64 (pow.f64 l 3) (pow.f64 (*.f64 l (pow.f64 F -2)) 3))))
(.f64 (/.f64 (PI.f64) (.f64 (+.f64 (+.f64 (pow.f64 F -2) (pow.f64 F -4)) 1) (.f64 l l))) (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3)))
(.f64 (/.f64 (PI.f64) (.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 F -4))) (.f64 l l))) (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3)))
(/.f64 (/.f64 (.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) l) (+.f64 (pow.f64 F -2) 1))
(.f64 (/.f64 (PI.f64) l) (/.f64 (.f64 l (*.f64 l (-.f64 1 (pow.f64 F -4)))) (+.f64 1 (pow.f64 F -2))))
(.f64 (PI.f64) (/.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (fma.f64 l (pow.f64 F -2) l)))
(/.f64 (/.f64 (.f64 (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) 1) (.f64 l (+.f64 (pow.f64 F -2) 1)))
(.f64 (/.f64 (PI.f64) l) (/.f64 (.f64 l (*.f64 l (-.f64 1 (pow.f64 F -4)))) (+.f64 1 (pow.f64 F -2))))
(.f64 (PI.f64) (/.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (fma.f64 l (pow.f64 F -2) l)))
(/.f64 (/.f64 (.f64 (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) (sqrt.f64 (.f64 l (+.f64 (pow.f64 F -2) 1)))) (sqrt.f64 (*.f64 l (+.f64 (pow.f64 F -2) 1))))
(.f64 (/.f64 (PI.f64) l) (/.f64 (.f64 l (*.f64 l (-.f64 1 (pow.f64 F -4)))) (+.f64 1 (pow.f64 F -2))))
(.f64 (PI.f64) (/.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (fma.f64 l (pow.f64 F -2) l)))
(/.f64 (/.f64 (.f64 (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) (.f64 (cbrt.f64 (.f64 l (+.f64 (pow.f64 F -2) 1))) (cbrt.f64 (.f64 l (+.f64 (pow.f64 F -2) 1))))) (cbrt.f64 (*.f64 l (+.f64 (pow.f64 F -2) 1))))
(.f64 (/.f64 (PI.f64) l) (/.f64 (.f64 l (*.f64 l (-.f64 1 (pow.f64 F -4)))) (+.f64 1 (pow.f64 F -2))))
(.f64 (PI.f64) (/.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (fma.f64 l (pow.f64 F -2) l)))
(/.f64 (/.f64 (.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) (+.f64 (pow.f64 F -2) 1)) l)
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(.f64 (PI.f64) (/.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (fma.f64 l (pow.f64 F -2) l)))
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(/.f64 (PI.f64) (/.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -2) (pow.f64 F -4)))) (-.f64 (pow.f64 l 3) (pow.f64 (*.f64 l (pow.f64 F -2)) 3))))
(.f64 (/.f64 (PI.f64) (.f64 (+.f64 (+.f64 (pow.f64 F -2) (pow.f64 F -4)) 1) (.f64 l l))) (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3)))
(.f64 (/.f64 (PI.f64) (.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 F -4))) (.f64 l l))) (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3)))
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(/.f64 (PI.f64) (/.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -2) (pow.f64 F -4)))) (-.f64 (pow.f64 l 3) (pow.f64 (*.f64 l (pow.f64 F -2)) 3))))
(.f64 (/.f64 (PI.f64) (.f64 (+.f64 (+.f64 (pow.f64 F -2) (pow.f64 F -4)) 1) (.f64 l l))) (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3)))
(.f64 (/.f64 (PI.f64) (.f64 (+.f64 1 (+.f64 (pow.f64 F -2) (pow.f64 F -4))) (.f64 l l))) (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3)) (PI.f64)) (.f64 (cbrt.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))) (cbrt.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))))) (cbrt.f64 (fma.f64 l l (.f64 (*.f64 l l) (+.f64 (pow.f64 F -4) (pow.f64 F -2))))))
(/.f64 (PI.f64) (/.f64 (fma.f64 l l (.f64 (.f64 l l) (+.f64 (pow.f64 F -2) (pow.f64 F -4)))) (-.f64 (pow.f64 l 3) (pow.f64 (*.f64 l (pow.f64 F -2)) 3))))
(.f64 (/.f64 (PI.f64) (.f64 (+.f64 (+.f64 (pow.f64 F -2) (pow.f64 F -4)) 1) (.f64 l l))) (-.f64 (pow.f64 l 3) (pow.f64 (.f64 l (pow.f64 F -2)) 3)))
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(pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2)))) 1)
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
(*.f64 (PI.f64) (fma.f64 (pow.f64 F -2) (neg.f64 l) l))
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))) 2)
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
(*.f64 (PI.f64) (fma.f64 (pow.f64 F -2) (neg.f64 l) l))
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))) 3)
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
(*.f64 (PI.f64) (fma.f64 (pow.f64 F -2) (neg.f64 l) l))
(pow.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2)))) 2) 1/2)
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2)))) 2))
(fabs.f64 (*.f64 (PI.f64) (fma.f64 (pow.f64 F -2) (neg.f64 l) l)))
(pow.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2)))) 3) 1/3)
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
(*.f64 (PI.f64) (fma.f64 (pow.f64 F -2) (neg.f64 l) l))
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2)))) 2))
(fabs.f64 (*.f64 (PI.f64) (fma.f64 (pow.f64 F -2) (neg.f64 l) l)))
(log.f64 (pow.f64 (exp.f64 (-.f64 l (*.f64 l (pow.f64 F -2)))) (PI.f64)))
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
(*.f64 (PI.f64) (fma.f64 (pow.f64 F -2) (neg.f64 l) l))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2)))))))
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
(*.f64 (PI.f64) (fma.f64 (pow.f64 F -2) (neg.f64 l) l))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2)))) 3))
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
(*.f64 (PI.f64) (fma.f64 (pow.f64 F -2) (neg.f64 l) l))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (-.f64 l (.f64 l (pow.f64 F -2))) 3)))
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
(*.f64 (PI.f64) (fma.f64 (pow.f64 F -2) (neg.f64 l) l))
(cbrt.f64 (.f64 (pow.f64 (-.f64 l (.f64 l (pow.f64 F -2))) 3) (pow.f64 (PI.f64) 3)))
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
(*.f64 (PI.f64) (fma.f64 (pow.f64 F -2) (neg.f64 l) l))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))))
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
(*.f64 (PI.f64) (fma.f64 (pow.f64 F -2) (neg.f64 l) l))
(exp.f64 (log.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))))
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
(*.f64 (PI.f64) (fma.f64 (pow.f64 F -2) (neg.f64 l) l))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))))
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
(*.f64 (PI.f64) (fma.f64 (pow.f64 F -2) (neg.f64 l) l))

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 l) 2)
✓	0.6b	(cbrt.f64 l)
	5.2b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	30.8b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 63 to 23 computations (63.5% saved)

series2.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 47

Calls

Call 1

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

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

eval407.0ms (3.3%)

Compiler: Compiled 20119 to 9588 computations (52.3% saved)

prune303.0ms (2.5%)

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	886	20	906
Fresh	11	8	19
Picked	1	0	1
Done	3	3	6
Total	901	31	932

Error

0.3b

Counts

932 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	33.3b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
	13.8b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
▶	44.1b	(/.f64 (/.f64 (.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) (+.f64 (pow.f64 F -2) 1)) l)
	56.0b	(/.f64 (neg.f64 l) (/.f64 (*.f64 F F) (PI.f64)))
	21.6b	(/.f64 (PI.f64) (/.f64 1 (-.f64 l (*.f64 l (pow.f64 F -2)))))
	21.6b	(/.f64 1 (/.f64 1 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))))
	28.4b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	19.0b	(-.f64 (.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	19.2b	(-.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	16.9b	(-.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
	28.9b	(-.f64 (.f64 (.f64 (PI.f64) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2) (cbrt.f64 (.f64 l (cbrt.f64 l))))) (cbrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	36.3b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	16.3b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
▶	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
✓	18.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	18.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (cbrt.f64 (pow.f64 F -2)) 3) (tan.f64 (*.f64 (PI.f64) l))))
▶	16.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (/.f64 1 F) (/.f64 1 l)) (/.f64 (PI.f64) F)))
	18.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (.f64 (PI.f64) l))))
	42.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
▶	28.4b	(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
	43.9b	(.f64 (/.f64 (PI.f64) l) (/.f64 (.f64 l (*.f64 l (-.f64 1 (pow.f64 F -4)))) (+.f64 1 (pow.f64 F -2))))
	21.5b	(.f64 (-.f64 l (.f64 l (pow.f64 F -2))) (PI.f64))
✓	12.8b	(*.f64 l (PI.f64))
	57.5b	(neg.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 2))
	62.2b	(neg.f64 (/.f64 (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (.f64 F F)))
▶	62.2b	(neg.f64 (/.f64 (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (.f64 F F)))
	50.8b	(neg.f64 (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
✓	56.0b	(neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
	50.8b	(neg.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	50.8b	(neg.f64 (.f64 (/.f64 1 F) (.f64 l (/.f64 (PI.f64) F))))
	46.9b	(cbrt.f64 (.f64 (pow.f64 (-.f64 l (.f64 l (pow.f64 F -2))) 3) (pow.f64 (PI.f64) 3)))

Compiler

Compiled 861 to 619 computations (28.1% 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)
	30.8b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 46 to 16 computations (65.2% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

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

Outputs

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

simplify107.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

174 → 194

Calls

Call 1

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

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

localize28.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

59 → 58

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(*.f64 l (PI.f64))
	2.8b	(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
✓	10.6b	(/.f64 (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (.f64 F F))

Compiler

Compiled 47 to 23 computations (51.1% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`associate-/r*`
1452×	`associate-/l*`
732×	`distribute-lft-in`
512×	`associate-/l/`
408×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	262	21
2	3689	21

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1554×	`associate-*r/`
1130×	`associate-/l*`
1106×	`associate-*l/`
756×	`distribute-lft-in`
746×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	151	2023
1	448	1991
2	1776	1991

Stop Event

1×	node limit

Counts

71 → 75

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 51 to 28 computations (45.1% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`associate-/r/`
968×	`associate-/l/`
878×	`swap-sqr`
424×	`distribute-lft-neg-in`
380×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	259	37
2	3642	37

Stop Event

1×	node limit

Counts

3 → 185

Calls

Call 1

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

Outputs

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

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

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1330×	`distribute-lft-in`
1328×	`distribute-rgt-in`
660×	`associate-r`
632×	`associate-l`
572×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	415	4275
1	1157	4093
2	5097	4093

Stop Event

1×	node limit

Counts

233 → 245

Calls

Call 1

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

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

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64))
✓	7.9b	(.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4)))
✓	16.1b	(/.f64 (.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) (+.f64 (pow.f64 F -2) 1))
✓	20.3b	(/.f64 (/.f64 (.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) (+.f64 (pow.f64 F -2) 1)) l)

Compiler

Compiled 83 to 53 computations (36.1% saved)

series18.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	F	@	0	(/.f64 (.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) (+.f64 (pow.f64 F -2) 1))
2.0ms	l	@	0	(/.f64 (/.f64 (.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) (+.f64 (pow.f64 F -2) 1)) l)
1.0ms	F	@	0	(/.f64 (/.f64 (.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) (+.f64 (pow.f64 F -2) 1)) l)
1.0ms	F	@	inf	(/.f64 (/.f64 (.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) (+.f64 (pow.f64 F -2) 1)) l)
1.0ms	l	@	inf	(/.f64 (/.f64 (.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) (+.f64 (pow.f64 F -2) 1)) l)

rewrite124.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`associate-/r/`
1262×	`associate-/l/`
406×	`add-sqr-sqrt`
390×	`*-un-lft-identity`
386×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	166
1	399	166
2	5518	166

Stop Event

1×	node limit

Counts

4 → 225

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) (+.f64 (pow.f64 F -2) 1)) l)
(/.f64 (.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64)) (+.f64 (pow.f64 F -2) 1))
(.f64 (.f64 l l) (-.f64 1 (pow.f64 F -4)))
(.f64 (.f64 (*.f64 l l) (-.f64 1 (pow.f64 F -4))) (PI.f64))

Outputs
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simplify134.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1458×	`associate-r`
1350×	`associate-l`
1146×	`associate-*r/`
1106×	`associate-*l/`
1036×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	580	17959
1	1982	17469

Stop Event

1×	node limit

Counts

321 → 373

Calls

Call 1

Inputs
(/.f64 (.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))) (+.f64 1 (/.f64 1 (pow.f64 F 2))))
(/.f64 (.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))) (+.f64 1 (/.f64 1 (pow.f64 F 2))))
(/.f64 (.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))) (+.f64 1 (/.f64 1 (pow.f64 F 2))))
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(.f64 (/.f64 (.f64 l l) (+.f64 1 (pow.f64 F -2))) (*.f64 (-.f64 1 (pow.f64 F -4)) (PI.f64)))
(.f64 (/.f64 1 (/.f64 (+.f64 1 (pow.f64 F -2)) (.f64 l l))) (*.f64 (-.f64 1 (pow.f64 F -4)) (PI.f64)))
(.f64 (/.f64 1 (/.f64 (+.f64 1 (pow.f64 F -2)) (.f64 l (*.f64 l (-.f64 1 (pow.f64 F -4)))))) (PI.f64))
(.f64 (/.f64 1 (/.f64 (+.f64 1 (pow.f64 F -2)) (.f64 l (sqrt.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (PI.f64)))))) (.f64 l (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 F -4)) (PI.f64)))))
(.f64 (/.f64 1 (/.f64 (+.f64 1 (pow.f64 F -2)) (pow.f64 (cbrt.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64)))) 2))) (cbrt.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64)))))
(.f64 (/.f64 (-.f64 1 (pow.f64 F -4)) (/.f64 (+.f64 1 (pow.f64 F -2)) (PI.f64))) (.f64 l l))
(.f64 (/.f64 (.f64 l (*.f64 l (-.f64 1 (pow.f64 F -4)))) (-.f64 -1 (pow.f64 F -2))) (neg.f64 (PI.f64)))
(.f64 (/.f64 (.f64 l (*.f64 l (-.f64 1 (pow.f64 F -4)))) (/.f64 (+.f64 1 (pow.f64 F -2)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 l (*.f64 l (-.f64 1 (pow.f64 F -4)))) (/.f64 (+.f64 1 (pow.f64 F -2)) (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64))) (-.f64 1 (pow.f64 F -4))) (-.f64 1 (pow.f64 F -2)))
(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64))) (neg.f64 (+.f64 (pow.f64 F -4) -1))) (neg.f64 (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64))) (neg.f64 (+.f64 1 (pow.f64 F -6)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 F -4) (pow.f64 F -2)))))
(.f64 (/.f64 (.f64 l (sqrt.f64 (-.f64 1 (pow.f64 F -4)))) (/.f64 (+.f64 1 (pow.f64 F -2)) (PI.f64))) (*.f64 l (sqrt.f64 (-.f64 1 (pow.f64 F -4)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64)))) 2) (+.f64 1 (pow.f64 F -2))) (cbrt.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4))))) 2) (/.f64 (+.f64 1 (pow.f64 F -2)) (PI.f64))) (cbrt.f64 (.f64 l (*.f64 l (-.f64 1 (pow.f64 F -4))))))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64))) 1) 1) (/.f64 (+.f64 (pow.f64 F -2) -1) (+.f64 (pow.f64 F -4) -1)))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64))) 1) 1) (/.f64 (+.f64 1 (-.f64 (pow.f64 F -4) (pow.f64 F -2))) (+.f64 1 (pow.f64 F -6))))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64))) 1) (-.f64 1 (pow.f64 F -4))) (-.f64 1 (pow.f64 F -2)))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64))) 1) (+.f64 (pow.f64 F -4) -1)) (+.f64 (pow.f64 F -2) -1))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64))) 1) (+.f64 1 (pow.f64 F -6))) (+.f64 1 (-.f64 (pow.f64 F -4) (pow.f64 F -2))))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64))) 1) (neg.f64 (+.f64 (pow.f64 F -4) -1))) (neg.f64 (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64))) 1) (neg.f64 (+.f64 1 (pow.f64 F -6)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 F -4) (pow.f64 F -2)))))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64))) (hypot.f64 1 (/.f64 1 F))) (sqrt.f64 (+.f64 (pow.f64 F -4) -1))) (sqrt.f64 (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64))) (hypot.f64 1 (/.f64 1 F))) (sqrt.f64 (+.f64 1 (pow.f64 F -6)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 F -4) (pow.f64 F -2)))))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 F -2))) 2)) (cbrt.f64 (+.f64 (pow.f64 F -4) -1))) (cbrt.f64 (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 F -2))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 F -6)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 F -4) (pow.f64 F -2)))))
(pow.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) (+.f64 1 (pow.f64 F -2))) 1)
(pow.f64 (/.f64 (.f64 l (sqrt.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (PI.f64)))) (hypot.f64 1 (/.f64 1 F))) 2)
(pow.f64 (cbrt.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) (+.f64 1 (pow.f64 F -2)))) 3)
(pow.f64 (pow.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) (+.f64 1 (pow.f64 F -2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 1 (pow.f64 F -2)) (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64)))) -1)
(neg.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) (-.f64 -1 (pow.f64 F -2))))
(sqrt.f64 (pow.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) (+.f64 1 (pow.f64 F -2))) 2))
(log.f64 (exp.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) (+.f64 1 (pow.f64 F -2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) (+.f64 1 (pow.f64 F -2))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) (+.f64 1 (pow.f64 F -2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) 3) (pow.f64 (+.f64 1 (pow.f64 F -2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) (+.f64 1 (pow.f64 F -2)))))
(exp.f64 (-.f64 (log.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64)))) (log1p.f64 (pow.f64 F -2))))
(exp.f64 (.f64 (-.f64 (log.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64)))) (log1p.f64 (pow.f64 F -2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) (+.f64 1 (pow.f64 F -2)))))
(+.f64 (.f64 l l) (.f64 (*.f64 l l) (neg.f64 (pow.f64 F -4))))
(+.f64 (.f64 l l) (.f64 (neg.f64 (pow.f64 F -4)) (*.f64 l l)))
(+.f64 (.f64 (.f64 l l) (neg.f64 (pow.f64 F -4))) (*.f64 l l))
(+.f64 (.f64 (neg.f64 (pow.f64 F -4)) (.f64 l l)) (*.f64 l l))
(-.f64 (exp.f64 (log1p.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 l l))) (-.f64 1 (.f64 (*.f64 l l) (neg.f64 (pow.f64 F -4)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 l l))) (-.f64 1 (.f64 (neg.f64 (pow.f64 F -4)) (*.f64 l l))))
(/.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4)))) 1)
(/.f64 (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -8))) (+.f64 1 (pow.f64 F -4)))
(/.f64 (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -12))) (+.f64 1 (+.f64 (pow.f64 F -4) (pow.f64 F -8))))
(/.f64 (.f64 (-.f64 1 (pow.f64 F -8)) (.f64 l l)) (+.f64 1 (pow.f64 F -4)))
(/.f64 (.f64 (-.f64 1 (pow.f64 F -12)) (.f64 l l)) (+.f64 1 (+.f64 (pow.f64 F -4) (pow.f64 F -8))))
(pow.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4)))) 1)
(pow.f64 (*.f64 l (sqrt.f64 (-.f64 1 (pow.f64 F -4)))) 2)
(pow.f64 (cbrt.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4))))) 3)
(pow.f64 (pow.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4)))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 F -4)) 2) (pow.f64 l 4)))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 F -4))) (*.f64 l l)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4)))))))
(cbrt.f64 (pow.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4)))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 l l) 3) (pow.f64 (-.f64 1 (pow.f64 F -4)) 3)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 F -4)) 3) (pow.f64 (.f64 l l) 3)))
(expm1.f64 (log1p.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4))))))
(exp.f64 (log.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4))))))
(exp.f64 (.f64 (log.f64 (.f64 l (*.f64 l (-.f64 1 (pow.f64 F -4))))) 1))
(log1p.f64 (expm1.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))))) 1)
(pow.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) 1)
(pow.f64 (.f64 l (sqrt.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (PI.f64)))) 2)
(pow.f64 (cbrt.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64)))) 3)
(pow.f64 (pow.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))))))
(cbrt.f64 (pow.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 l (*.f64 l (-.f64 1 (pow.f64 F -4)))) 3) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 l (*.f64 l (-.f64 1 (pow.f64 F -4)))) 3)))
(expm1.f64 (log1p.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64)))))
(exp.f64 (log.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64)))))

Outputs
(/.f64 (.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))) (+.f64 1 (/.f64 1 (pow.f64 F 2))))
(/.f64 l (/.f64 (+.f64 1 (/.f64 1 (.f64 F F))) (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 l (+.f64 1 (/.f64 -1 (pow.f64 F 4))))) (+.f64 1 (/.f64 1 (*.f64 F F))))
(/.f64 (.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))) (+.f64 1 (/.f64 1 (pow.f64 F 2))))
(/.f64 l (/.f64 (+.f64 1 (/.f64 1 (.f64 F F))) (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 l (+.f64 1 (/.f64 -1 (pow.f64 F 4))))) (+.f64 1 (/.f64 1 (*.f64 F F))))
(/.f64 (.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))) (+.f64 1 (/.f64 1 (pow.f64 F 2))))
(/.f64 l (/.f64 (+.f64 1 (/.f64 1 (.f64 F F))) (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 l (+.f64 1 (/.f64 -1 (pow.f64 F 4))))) (+.f64 1 (/.f64 1 (*.f64 F F))))
(/.f64 (.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))) (+.f64 1 (/.f64 1 (pow.f64 F 2))))
(/.f64 l (/.f64 (+.f64 1 (/.f64 1 (.f64 F F))) (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 l (+.f64 1 (/.f64 -1 (pow.f64 F 4))))) (+.f64 1 (/.f64 1 (*.f64 F F))))
(/.f64 (.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))) (+.f64 1 (/.f64 1 (pow.f64 F 2))))
(/.f64 l (/.f64 (+.f64 1 (/.f64 1 (.f64 F F))) (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 l (+.f64 1 (/.f64 -1 (pow.f64 F 4))))) (+.f64 1 (/.f64 1 (*.f64 F F))))
(/.f64 (.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))) (+.f64 1 (/.f64 1 (pow.f64 F 2))))
(/.f64 l (/.f64 (+.f64 1 (/.f64 1 (.f64 F F))) (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 l (+.f64 1 (/.f64 -1 (pow.f64 F 4))))) (+.f64 1 (/.f64 1 (*.f64 F F))))
(/.f64 (.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))) (+.f64 1 (/.f64 1 (pow.f64 F 2))))
(/.f64 l (/.f64 (+.f64 1 (/.f64 1 (.f64 F F))) (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 l (+.f64 1 (/.f64 -1 (pow.f64 F 4))))) (+.f64 1 (/.f64 1 (*.f64 F F))))
(/.f64 (.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))) (+.f64 1 (/.f64 1 (pow.f64 F 2))))
(/.f64 l (/.f64 (+.f64 1 (/.f64 1 (.f64 F F))) (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 l (+.f64 1 (/.f64 -1 (pow.f64 F 4))))) (+.f64 1 (/.f64 1 (*.f64 F F))))
(/.f64 (.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))) (+.f64 1 (/.f64 1 (pow.f64 F 2))))
(/.f64 l (/.f64 (+.f64 1 (/.f64 1 (.f64 F F))) (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 l (+.f64 1 (/.f64 -1 (pow.f64 F 4))))) (+.f64 1 (/.f64 1 (*.f64 F F))))
(/.f64 (.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))) (+.f64 1 (/.f64 1 (pow.f64 F 2))))
(/.f64 l (/.f64 (+.f64 1 (/.f64 1 (.f64 F F))) (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 l (+.f64 1 (/.f64 -1 (pow.f64 F 4))))) (+.f64 1 (/.f64 1 (*.f64 F F))))
(/.f64 (.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))) (+.f64 1 (/.f64 1 (pow.f64 F 2))))
(/.f64 l (/.f64 (+.f64 1 (/.f64 1 (.f64 F F))) (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 l (+.f64 1 (/.f64 -1 (pow.f64 F 4))))) (+.f64 1 (/.f64 1 (*.f64 F F))))
(/.f64 (.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))) (+.f64 1 (/.f64 1 (pow.f64 F 2))))
(/.f64 l (/.f64 (+.f64 1 (/.f64 1 (.f64 F F))) (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 4))) (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 l (+.f64 1 (/.f64 -1 (pow.f64 F 4))))) (+.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 l) (/.f64 (*.f64 F F) (PI.f64)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(fma.f64 l (PI.f64) (/.f64 (neg.f64 l) (/.f64 (*.f64 F F) (PI.f64))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(fma.f64 l (PI.f64) (/.f64 (neg.f64 l) (/.f64 (*.f64 F F) (PI.f64))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(fma.f64 l (PI.f64) (/.f64 (neg.f64 l) (/.f64 (*.f64 F F) (PI.f64))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(fma.f64 l (PI.f64) (/.f64 (neg.f64 l) (/.f64 (*.f64 F F) (PI.f64))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(fma.f64 l (PI.f64) (/.f64 (neg.f64 l) (/.f64 (*.f64 F F) (PI.f64))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(fma.f64 l (PI.f64) (/.f64 (neg.f64 l) (/.f64 (*.f64 F F) (PI.f64))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
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(neg.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) (-.f64 -1 (pow.f64 F -2))))
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(.f64 (neg.f64 (PI.f64)) (.f64 (/.f64 l (-.f64 -1 (pow.f64 F -2))) (*.f64 l (-.f64 1 (pow.f64 F -4)))))
(sqrt.f64 (pow.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) (+.f64 1 (pow.f64 F -2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l))) (+.f64 1 (pow.f64 F -2))) 2))
(sqrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 F -4))) (/.f64 (*.f64 l l) (+.f64 1 (pow.f64 F -2)))) 2))
(log.f64 (exp.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) (+.f64 1 (pow.f64 F -2)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l))) (+.f64 1 (pow.f64 F -2)))
(.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 F -4))) (/.f64 (*.f64 l l) (+.f64 1 (pow.f64 F -2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) (+.f64 1 (pow.f64 F -2))))))
(/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l))) (+.f64 1 (pow.f64 F -2)))
(.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 F -4))) (/.f64 (*.f64 l l) (+.f64 1 (pow.f64 F -2))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) (+.f64 1 (pow.f64 F -2))) 3))
(/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l))) (+.f64 1 (pow.f64 F -2)))
(.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 F -4))) (/.f64 (*.f64 l l) (+.f64 1 (pow.f64 F -2))))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) 3) (pow.f64 (+.f64 1 (pow.f64 F -2)) 3)))
(/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l))) (+.f64 1 (pow.f64 F -2)))
(.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 F -4))) (/.f64 (*.f64 l l) (+.f64 1 (pow.f64 F -2))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) (+.f64 1 (pow.f64 F -2)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l))) (+.f64 1 (pow.f64 F -2)))
(.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 F -4))) (/.f64 (*.f64 l l) (+.f64 1 (pow.f64 F -2))))
(exp.f64 (-.f64 (log.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64)))) (log1p.f64 (pow.f64 F -2))))
(/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l))) (exp.f64 (log1p.f64 (pow.f64 F -2))))
(/.f64 (.f64 l (.f64 (*.f64 l (-.f64 1 (pow.f64 F -4))) (PI.f64))) (exp.f64 (log1p.f64 (pow.f64 F -2))))
(exp.f64 (.f64 (-.f64 (log.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64)))) (log1p.f64 (pow.f64 F -2))) 1))
(/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l))) (exp.f64 (log1p.f64 (pow.f64 F -2))))
(/.f64 (.f64 l (.f64 (*.f64 l (-.f64 1 (pow.f64 F -4))) (PI.f64))) (exp.f64 (log1p.f64 (pow.f64 F -2))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) (+.f64 1 (pow.f64 F -2)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l))) (+.f64 1 (pow.f64 F -2)))
(.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 F -4))) (/.f64 (*.f64 l l) (+.f64 1 (pow.f64 F -2))))
(+.f64 (.f64 l l) (.f64 (*.f64 l l) (neg.f64 (pow.f64 F -4))))
(.f64 (+.f64 (neg.f64 (pow.f64 F -4)) 1) (.f64 l l))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 l l))
(+.f64 (.f64 l l) (.f64 (neg.f64 (pow.f64 F -4)) (*.f64 l l)))
(.f64 (+.f64 (neg.f64 (pow.f64 F -4)) 1) (.f64 l l))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 l l))
(+.f64 (.f64 (.f64 l l) (neg.f64 (pow.f64 F -4))) (*.f64 l l))
(.f64 (+.f64 (neg.f64 (pow.f64 F -4)) 1) (.f64 l l))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 l l))
(+.f64 (.f64 (neg.f64 (pow.f64 F -4)) (.f64 l l)) (*.f64 l l))
(.f64 (+.f64 (neg.f64 (pow.f64 F -4)) 1) (.f64 l l))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 l l))
(-.f64 (exp.f64 (log1p.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4)))))) 1)
(.f64 (+.f64 (neg.f64 (pow.f64 F -4)) 1) (.f64 l l))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 l l))
(-.f64 (exp.f64 (log1p.f64 (.f64 l l))) (-.f64 1 (.f64 (*.f64 l l) (neg.f64 (pow.f64 F -4)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 l l))) (+.f64 1 (.f64 (pow.f64 F -4) (*.f64 l l))))
(-.f64 (exp.f64 (log1p.f64 (.f64 l l))) (-.f64 1 (.f64 (neg.f64 (pow.f64 F -4)) (*.f64 l l))))
(-.f64 (exp.f64 (log1p.f64 (.f64 l l))) (+.f64 1 (.f64 (pow.f64 F -4) (*.f64 l l))))
(/.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4)))) 1)
(.f64 (+.f64 (neg.f64 (pow.f64 F -4)) 1) (.f64 l l))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 l l))
(/.f64 (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -8))) (+.f64 1 (pow.f64 F -4)))
(/.f64 (*.f64 l l) (/.f64 (+.f64 1 (pow.f64 F -4)) (-.f64 1 (pow.f64 F -8))))
(.f64 (/.f64 (.f64 l l) (+.f64 1 (pow.f64 F -4))) (-.f64 1 (pow.f64 F -8)))
(/.f64 (.f64 (.f64 l l) (-.f64 1 (pow.f64 F -12))) (+.f64 1 (+.f64 (pow.f64 F -4) (pow.f64 F -8))))
(/.f64 (*.f64 l l) (/.f64 (+.f64 1 (+.f64 (pow.f64 F -4) (pow.f64 F -8))) (-.f64 1 (pow.f64 F -12))))
(.f64 (/.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (+.f64 1 (pow.f64 F -8)))) (-.f64 1 (pow.f64 F -12)))
(/.f64 (.f64 (-.f64 1 (pow.f64 F -8)) (.f64 l l)) (+.f64 1 (pow.f64 F -4)))
(/.f64 (*.f64 l l) (/.f64 (+.f64 1 (pow.f64 F -4)) (-.f64 1 (pow.f64 F -8))))
(.f64 (/.f64 (.f64 l l) (+.f64 1 (pow.f64 F -4))) (-.f64 1 (pow.f64 F -8)))
(/.f64 (.f64 (-.f64 1 (pow.f64 F -12)) (.f64 l l)) (+.f64 1 (+.f64 (pow.f64 F -4) (pow.f64 F -8))))
(/.f64 (*.f64 l l) (/.f64 (+.f64 1 (+.f64 (pow.f64 F -4) (pow.f64 F -8))) (-.f64 1 (pow.f64 F -12))))
(.f64 (/.f64 (.f64 l l) (+.f64 (pow.f64 F -4) (+.f64 1 (pow.f64 F -8)))) (-.f64 1 (pow.f64 F -12)))
(pow.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4)))) 1)
(.f64 (+.f64 (neg.f64 (pow.f64 F -4)) 1) (.f64 l l))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 l l))
(pow.f64 (*.f64 l (sqrt.f64 (-.f64 1 (pow.f64 F -4)))) 2)
(pow.f64 (cbrt.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4))))) 3)
(.f64 (+.f64 (neg.f64 (pow.f64 F -4)) 1) (.f64 l l))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 l l))
(pow.f64 (pow.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4)))) 3) 1/3)
(.f64 (+.f64 (neg.f64 (pow.f64 F -4)) 1) (.f64 l l))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 l l))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 F -4)) 2) (pow.f64 l 4)))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 F -4))) (*.f64 l l)))
(.f64 (.f64 l l) (log.f64 (exp.f64 (-.f64 1 (pow.f64 F -4)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4)))))))
(.f64 (+.f64 (neg.f64 (pow.f64 F -4)) 1) (.f64 l l))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 l l))
(cbrt.f64 (pow.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4)))) 3))
(.f64 (+.f64 (neg.f64 (pow.f64 F -4)) 1) (.f64 l l))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 l l))
(cbrt.f64 (.f64 (pow.f64 (.f64 l l) 3) (pow.f64 (-.f64 1 (pow.f64 F -4)) 3)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 F -4)) 3) (pow.f64 (.f64 l l) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 l l) 3) (pow.f64 (-.f64 1 (pow.f64 F -4)) 3)))
(expm1.f64 (log1p.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4))))))
(.f64 (+.f64 (neg.f64 (pow.f64 F -4)) 1) (.f64 l l))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 l l))
(exp.f64 (log.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4))))))
(.f64 (+.f64 (neg.f64 (pow.f64 F -4)) 1) (.f64 l l))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 l l))
(exp.f64 (.f64 (log.f64 (.f64 l (*.f64 l (-.f64 1 (pow.f64 F -4))))) 1))
(.f64 (+.f64 (neg.f64 (pow.f64 F -4)) 1) (.f64 l l))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 l l))
(log1p.f64 (expm1.f64 (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4))))))
(.f64 (+.f64 (neg.f64 (pow.f64 F -4)) 1) (.f64 l l))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 l l))
(-.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))))) 1)
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l)))
(.f64 l (.f64 (*.f64 l (-.f64 1 (pow.f64 F -4))) (PI.f64)))
(pow.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) 1)
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l)))
(.f64 l (.f64 (*.f64 l (-.f64 1 (pow.f64 F -4))) (PI.f64)))
(pow.f64 (.f64 l (sqrt.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (PI.f64)))) 2)
(pow.f64 (.f64 l (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 F -4))))) 2)
(pow.f64 (cbrt.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64)))) 3)
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l)))
(.f64 l (.f64 (*.f64 l (-.f64 1 (pow.f64 F -4))) (PI.f64)))
(pow.f64 (pow.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) 3) 1/3)
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l)))
(.f64 l (.f64 (*.f64 l (-.f64 1 (pow.f64 F -4))) (PI.f64)))
(sqrt.f64 (pow.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) 2))
(sqrt.f64 (pow.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l))) 2))
(sqrt.f64 (pow.f64 (.f64 l (.f64 (*.f64 l (-.f64 1 (pow.f64 F -4))) (PI.f64))) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4))))))
(.f64 (.f64 l (*.f64 l (-.f64 1 (pow.f64 F -4)))) (log.f64 (exp.f64 (PI.f64))))
(.f64 l (.f64 (*.f64 l (-.f64 1 (pow.f64 F -4))) (log.f64 (exp.f64 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))))))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l)))
(.f64 l (.f64 (*.f64 l (-.f64 1 (pow.f64 F -4))) (PI.f64)))
(cbrt.f64 (pow.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64))) 3))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l)))
(.f64 l (.f64 (*.f64 l (-.f64 1 (pow.f64 F -4))) (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 l (*.f64 l (-.f64 1 (pow.f64 F -4)))) 3) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (*.f64 l l)) 3) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 l (*.f64 l (-.f64 1 (pow.f64 F -4)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 l (*.f64 l (-.f64 1 (pow.f64 F -4)))) 3) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (*.f64 l l)) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64)))))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l)))
(.f64 l (.f64 (*.f64 l (-.f64 1 (pow.f64 F -4))) (PI.f64)))
(exp.f64 (log.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64)))))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l)))
(.f64 l (.f64 (*.f64 l (-.f64 1 (pow.f64 F -4))) (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (.f64 l l) (PI.f64)))) 1))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l)))
(.f64 l (.f64 (*.f64 l (-.f64 1 (pow.f64 F -4))) (PI.f64)))
(log1p.f64 (expm1.f64 (.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (*.f64 l l) (PI.f64)))))
(.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (PI.f64) (*.f64 l l)))
(.f64 l (.f64 (*.f64 l (-.f64 1 (pow.f64 F -4))) (PI.f64)))

eval406.0ms (3.3%)

Compiler: Compiled 25474 to 14024 computations (44.9% saved)

prune378.0ms (3.1%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	1143	10	1153
Fresh	9	14	23
Picked	1	0	1
Done	1	6	7
Total	1154	30	1184

Error

0.3b

Counts

1184 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	33.3b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
	13.8b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	45.6b	(/.f64 (pow.f64 (/.f64 l (/.f64 (hypot.f64 1 (/.f64 1 F)) (sqrt.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -4)))))) 2) l)
	36.4b	(/.f64 (.f64 (PI.f64) (.f64 l l)) l)
	21.6b	(/.f64 (PI.f64) (/.f64 1 (-.f64 l (*.f64 l (pow.f64 F -2)))))
	21.6b	(/.f64 1 (/.f64 1 (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))))
	28.4b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	19.2b	(-.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	28.9b	(-.f64 (.f64 (.f64 (PI.f64) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2) (cbrt.f64 (.f64 l (cbrt.f64 l))))) (cbrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
✓	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
✓	18.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	18.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (cbrt.f64 (pow.f64 F -2)) 3) (tan.f64 (*.f64 (PI.f64) l))))
	18.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (.f64 (PI.f64) l))))
	42.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
✓	28.4b	(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
	13.7b	(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
	43.6b	(.f64 (/.f64 (PI.f64) (.f64 l (+.f64 1 (pow.f64 F -2)))) (.f64 l (.f64 l (-.f64 1 (pow.f64 F -4)))))
	21.5b	(.f64 (-.f64 l (.f64 l (pow.f64 F -2))) (PI.f64))
	44.6b	(.f64 (-.f64 1 (pow.f64 F -2)) (/.f64 (-.f64 1 (pow.f64 F -4)) (.f64 (-.f64 1 (pow.f64 F -4)) (/.f64 (/.f64 l (*.f64 l l)) (PI.f64)))))
	13.7b	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
	33.3b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
✓	12.8b	(*.f64 l (PI.f64))
	50.8b	(neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 F l) (PI.f64)) F) -1))
	62.2b	(neg.f64 (/.f64 (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (.f64 F F)))
✓	62.2b	(neg.f64 (/.f64 (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (.f64 F F)))
	50.8b	(neg.f64 (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
✓	56.0b	(neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
	50.8b	(neg.f64 (/.f64 (PI.f64) (*.f64 F (/.f64 F l))))
	50.8b	(neg.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	50.8b	(neg.f64 (*.f64 (/.f64 l (/.f64 F (PI.f64))) (/.f64 1 F)))

Compiler

Compiled 411 to 301 computations (26.8% saved)

regimes678.0ms (5.5%)

Counts

77 → 3

Calls

Call 1

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

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

Calls

6 calls:

153.0ms	F
140.0ms	l
99.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
97.0ms	(*.f64 F F)
93.0ms	(*.f64 (PI.f64) l)

Results

Error	Segments	Branch
8.5b	3	`F`
0.5b	3	`l`
7.2b	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0.5b	3	`(*.f64 (PI.f64) l)`
9.2b	2	`(/.f64 1 (*.f64 F F))`
9.2b	2	`(*.f64 F F)`

Compiler

Compiled 1146 to 514 computations (55.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	19845644374269.03	6.810587032459432e+19
0.0ms	-1107289507662634000.0	-176033256730265400.0

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes224.0ms (1.8%)

Counts

32 → 3

Calls

Call 1

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

94.0ms	F
60.0ms	l
39.0ms	(*.f64 (PI.f64) l)
24.0ms	(*.f64 F F)

Results

Error	Segments	Branch
9.0b	3	`F`
0.9b	3	`l`
0.9b	3	`(*.f64 (PI.f64) l)`
9.2b	2	`(*.f64 F F)`

Compiler

Compiled 320 to 140 computations (56.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0006701312374592	2485136.799404012
0.0ms	-1107289507662634000.0	-176033256730265400.0

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes155.0ms (1.3%)

Counts

20 → 3

Calls

Call 1

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

Calls

3 calls:

108.0ms	F
26.0ms	l
16.0ms	(*.f64 F F)

Results

Error	Segments	Branch
9.9b	4	`F`
6.1b	3	`l`
11.3b	3	`(*.f64 F F)`

Compiler

Compiled 190 to 86 computations (54.7% saved)

bsearch91.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	0.00021330939792384076	791043.6117694409
64.0ms	-352461197156598660.0	-56033125914372790.0

Results

45.0ms	15×	body	2048	valid
30.0ms	211×	body	256	valid
6.0ms	10×	body	1024	valid
5.0ms	39×	body	256	infinite
1.0ms	4×	body	512	valid

Compiler

Compiled 321 to 224 computations (30.2% saved)

regimes129.0ms (1.1%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

83.0ms	F
25.0ms	l
17.0ms	(*.f64 F F)

Results

Error	Segments	Branch
9.9b	4	`F`
6.1b	3	`l`
11.3b	3	`(*.f64 F F)`

Compiler

Compiled 168 to 83 computations (50.6% saved)

bsearch104.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	0.00021330939792384076	791043.6117694409
59.0ms	-352461197156598660.0	-56033125914372790.0

Results

34.0ms	25×	body	2048	valid
30.0ms	199×	body	256	valid
13.0ms	12×	body	1024	valid
5.0ms	36×	body	256	infinite
1.0ms	4×	body	512	valid

Compiler

Compiled 321 to 224 computations (30.2% saved)

regimes86.0ms (0.7%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	F
25.0ms	l
16.0ms	(*.f64 F F)

Results

Error	Segments	Branch
9.9b	4	`F`
6.1b	3	`l`
11.3b	3	`(*.f64 F F)`

Compiler

Compiled 157 to 79 computations (49.7% saved)

bsearch125.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	0.00021330939792384076	791043.6117694409
98.0ms	-352461197156598660.0	-56033125914372790.0

Results

79.0ms	24×	body	2048	valid
29.0ms	200×	body	256	valid
7.0ms	12×	body	1024	valid
6.0ms	43×	body	256	infinite
1.0ms	4×	body	512	valid

Compiler

Compiled 291 to 224 computations (23% saved)

regimes144.0ms (1.2%)

Counts

14 → 5

Calls

Call 1

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

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

Calls

3 calls:

81.0ms	l
42.0ms	F
18.0ms	(*.f64 F F)

Results

Error	Segments	Branch
9.7b	5	`F`
9.9b	5	`l`
11.3b	3	`(*.f64 F F)`

Compiler

Compiled 129 to 64 computations (50.4% saved)

bsearch181.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
40.0ms	8.775860483070773e-18	2.8762451931811273e-5
40.0ms	1.3781679354086068e-89	1.270461353723913e-86
57.0ms	-5.3017433639494346e-166	-1.5305772809939138e-166
43.0ms	-7.473765875090129e-87	-4.998334758417007e-94

Results

84.0ms	188×	body	1024	valid
51.0ms	46×	body	2048	valid
32.0ms	254×	body	256	valid
6.0ms	24×	body	512	valid

Compiler

Compiled 617 to 482 computations (21.9% saved)

regimes37.0ms (0.3%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	F
18.0ms	l

Results

Error	Segments	Branch
9.7b	5	`F`
10.0b	5	`l`

Compiler

Compiled 40 to 23 computations (42.5% saved)

bsearch171.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
35.0ms	8.775860483070773e-18	2.8762451931811273e-5
36.0ms	1.3781679354086068e-89	1.270461353723913e-86
52.0ms	-5.3017433639494346e-166	-1.5305772809939138e-166
48.0ms	-7.473765875090129e-87	-4.998334758417007e-94

Results

78.0ms	183×	body	1024	valid
45.0ms	44×	body	2048	valid
35.0ms	265×	body	256	valid
5.0ms	20×	body	512	valid
1.0ms	7×	body	256	infinite

Compiler

Compiled 617 to 482 computations (21.9% saved)

regimes8.0ms (0.1%)

Accuracy

Total -31.6b remaining (-246.5%)

Threshold costs -31.6b (-246.5%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	F
3.0ms	l

Results

Error	Segments	Branch
12.8b	1	`F`
12.8b	1	`l`

Compiler

Compiled 32 to 19 computations (40.6% saved)

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

52×	`*-commutative`
50×	`+-commutative`
38×	`sub-neg`
32×	`neg-mul-1`
32×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	632
1	143	632
2	192	632
3	223	632
4	241	632
5	246	632
6	247	632

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) -1000000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 20000000000000) (-.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) -1000000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 1152921504606847/1152921504606846976) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F)) (*.f64 l (PI.f64))))
(if (<=.f64 l -57000000000000000) (.f64 l (PI.f64)) (if (<=.f64 l 5500) (-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (.f64 l (PI.f64))))
(if (<=.f64 l -57000000000000000) (.f64 l (PI.f64)) (if (<=.f64 l 5500) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (.f64 F F)) (PI.f64))) (*.f64 l (PI.f64))))
(if (<=.f64 l -57000000000000000) (.f64 l (PI.f64)) (if (<=.f64 l 5500) (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2)))) (.f64 l (PI.f64))))
(if (<=.f64 F -32108980623861/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (.f64 l (PI.f64)) (if (<=.f64 F -4149515568880993/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (neg.f64 (/.f64 (PI.f64) (.f64 F (/.f64 F l)))) (if (<=.f64 F 6808824016220525/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (if (<=.f64 F 5841333965851681/324518553658426726783156020576256) (neg.f64 (/.f64 (PI.f64) (.f64 F (/.f64 F l)))) (*.f64 l (PI.f64))))))
(if (<=.f64 F -5166793682102433/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (.f64 l (PI.f64)) (if (<=.f64 F -4149515568880993/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (neg.f64 (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (if (<=.f64 F 3852360956545823/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (if (<=.f64 F 7177997053961861/18889465931478580854784) (neg.f64 (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 l (PI.f64))))))
(*.f64 l (PI.f64))

Outputs
(if (<=.f64 (.f64 (PI.f64) l) -1000000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 20000000000000) (-.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) -1000000000000000000) (not (<=.f64 (.f64 (PI.f64) l) 20000000000000))) (.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) -1000000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 1152921504606847/1152921504606846976) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F)) (*.f64 l (PI.f64))))
(if (or (<=.f64 (.f64 (PI.f64) l) -1000000000000000000) (not (<=.f64 (.f64 (PI.f64) l) 1152921504606847/1152921504606846976))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F)))
(if (<=.f64 l -57000000000000000) (.f64 l (PI.f64)) (if (<=.f64 l 5500) (-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -57000000000000000) (not (<=.f64 l 5500))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(if (<=.f64 l -57000000000000000) (.f64 l (PI.f64)) (if (<=.f64 l 5500) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (.f64 F F)) (PI.f64))) (*.f64 l (PI.f64))))
(if (or (<=.f64 l -57000000000000000) (not (<=.f64 l 5500))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (.f64 F F)))))
(if (<=.f64 l -57000000000000000) (.f64 l (PI.f64)) (if (<=.f64 l 5500) (.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2)))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -57000000000000000) (not (<=.f64 l 5500))) (.f64 (PI.f64) l) (.f64 (PI.f64) (-.f64 l (*.f64 l (pow.f64 F -2)))))
(if (<=.f64 F -32108980623861/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (.f64 l (PI.f64)) (if (<=.f64 F -4149515568880993/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (neg.f64 (/.f64 (PI.f64) (.f64 F (/.f64 F l)))) (if (<=.f64 F 6808824016220525/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (if (<=.f64 F 5841333965851681/324518553658426726783156020576256) (neg.f64 (/.f64 (PI.f64) (.f64 F (/.f64 F l)))) (*.f64 l (PI.f64))))))
(if (<=.f64 F -32108980623861/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (.f64 (PI.f64) l) (if (<=.f64 F -4149515568880993/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (/.f64 (neg.f64 (PI.f64)) (.f64 F (/.f64 F l))) (if (<=.f64 F 6808824016220525/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (+.f64 1 (+.f64 (.f64 (PI.f64) l) -1)) (if (<=.f64 F 5841333965851681/324518553658426726783156020576256) (/.f64 (neg.f64 (PI.f64)) (.f64 F (/.f64 F l))) (*.f64 (PI.f64) l)))))
(if (<=.f64 F -5166793682102433/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (.f64 l (PI.f64)) (if (<=.f64 F -4149515568880993/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (neg.f64 (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (if (<=.f64 F 3852360956545823/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (if (<=.f64 F 7177997053961861/18889465931478580854784) (neg.f64 (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 l (PI.f64))))))
(if (<=.f64 F -5166793682102433/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (.f64 (PI.f64) l) (if (<=.f64 F -4149515568880993/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F))) (if (<=.f64 F 3852360956545823/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (+.f64 1 (+.f64 (.f64 (PI.f64) l) -1)) (if (<=.f64 F 7177997053961861/18889465931478580854784) (.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F))) (*.f64 (PI.f64) l)))))
(if (<=.f64 F -5166793682102433/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (.f64 (PI.f64) l) (if (<=.f64 F -4149515568880993/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F)) (if (<=.f64 F 3852360956545823/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (+.f64 1 (+.f64 (.f64 (PI.f64) l) -1)) (if (<=.f64 F 7177997053961861/18889465931478580854784) (.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F)) (*.f64 (PI.f64) l)))))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

Compiler

Compiled 231 to 128 computations (44.6% saved)

soundness90.0ms (0.7%)

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

Compiler

Compiled 46 to 21 computations (54.3% saved)

end131.0ms (1.1%)

Compiler: Compiled 217 to 99 computations (54.4% saved)