Details

analyze293.0ms (2.3%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.9s (22.1%)

Results

1.1s	1105×	body	2048	valid
685.0ms	1895×	body	1024	valid
607.0ms	4492×	body	256	valid
225.0ms	47×	body	4096	valid
177.0ms	717×	body	512	valid
34.0ms	272×	body	256	infinite
4.0ms	7×	body	2048	infinite
4.0ms	6×	body	8192	exit

Bogosity

preprocess223.0ms (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

14.9b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	15.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 30 to 18 computations (40% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (*.f64 F F))
✓	0.3b	(*.f64 (PI.f64) l)
✓	3.7b	(.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)))

rewrite94.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 233

Calls

Call 1

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

simplify141.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1462×	`times-frac`
962×	`associate-r`
926×	`associate-l`
814×	`associate-/r*`
604×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	597	10137
1	1506	9641
2	7687	9641

Stop Event

1×	node limit

Counts

293 → 326

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 (*.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)))
(-.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)))

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	0.3b	(*.f64 (PI.f64) l)
✓	3.3b	(/.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)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite129.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

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

Outputs
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Outputs

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simplify181.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

188 → 234

Calls

Call 1

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

Outputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
(fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)) F) (/.f64 -1/2 F))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
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(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 4))))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))))
(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)) F) (/.f64 -1/2 F))) (pow.f64 l 5) (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) 1/840) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 1/24 (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (pow.f64 (PI.f64) 4))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
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(fma.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (.f64 l (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (cbrt.f64 (.f64 (PI.f64) l)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
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eval335.0ms (2.6%)

Compiler: Compiled 19856 to 8470 computations (57.3% saved)

prune233.0ms (1.8%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	662	20	682
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	663	21	684

Error

0.4b

Counts

684 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	42.0b	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (.f64 l (PI.f64)))) 2) (/.f64 (cbrt.f64 (fma.f64 l (PI.f64) (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))) (cbrt.f64 (-.f64 (pow.f64 (.f64 l (PI.f64)) 2) (/.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2) (pow.f64 F 4))))))
	42.2b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	52.0b	(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3) (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) F))) (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (+.f64 (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)) (pow.f64 (.f64 (PI.f64) l) 2)))
	15.5b	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
	39.4b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	15.5b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	12.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
▶	11.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	12.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 (/.f64 1 F) (cbrt.f64 F))) (cbrt.f64 (/.f64 1 F))) (cbrt.f64 F)))
▶	21.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
✓	14.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	14.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (neg.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))) (cbrt.f64 (.f64 F (neg.f64 F)))))
	24.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (log.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	21.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
	11.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	18.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	39.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
▶	39.6b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	21.7b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
▶	14.3b	(*.f64 l (PI.f64))
	29.9b	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))

Compiler

Compiled 890 to 548 computations (38.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
✓	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.3b	(*.f64 (PI.f64) l)
	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	l	@	-inf	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
1.0ms	l	@	0	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.0ms	F	@	inf	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.0ms	l	@	inf	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.0ms	F	@	-inf	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

116 → 125

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite47.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify70.0ms (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))

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
	0.3b	(*.f64 (PI.f64) l)
	0.3b	(*.f64 l (PI.f64))
✓	8.3b	(/.f64 (.f64 l (PI.f64)) (.f64 F F))

Compiler

Compiled 32 to 8 computations (75% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite98.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1096×	`unswap-sqr`
872×	`swap-sqr`
532×	`distribute-rgt-in`
506×	`distribute-lft-neg-in`
492×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	244	56
2	3421	48

Stop Event

1×	node limit

Counts

2 → 189

Calls

Call 1

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

Outputs

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

simplify214.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

768×	`associate-r`
768×	`fma-def`
702×	`distribute-lft-out`
682×	`associate-+r+`
670×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	477	12327
1	1400	11365
2	6093	10277

Stop Event

1×	node limit

Counts

237 → 266

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) l)
	3.3b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	30.8b	(tan.f64 (*.f64 (PI.f64) l))
✓	40.3b	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))

Compiler

Compiled 50 to 17 computations (66% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

44 → 37

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 F)
✓	1.2b	(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))
✓	28.0b	(cbrt.f64 (*.f64 F (neg.f64 F)))
✓	30.8b	(tan.f64 (*.f64 l (PI.f64)))

Compiler

Compiled 87 to 15 computations (82.8% saved)

series35.0ms (0.3%)

Counts

4 → 24

Calls

15 calls:

Time	Variable		Point	Expression
28.0ms	l	@	inf	(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))
1.0ms	l	@	0	(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))
1.0ms	F	@	-inf	(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))
1.0ms	F	@	0	(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))
1.0ms	F	@	inf	(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1452×	`associate-/l*`
1300×	`associate-*r/`
1054×	`associate-*l/`
308×	`add-sqr-sqrt`
302×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	302	58
2	4027	58

Stop Event

1×	node limit

Counts

4 → 136

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 (.f64 l (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (tan.f64 (.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (tan.f64 (.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))) (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2) (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 1 (cos.f64 (.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (tan.f64 (.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))) (/.f64 1 (sqrt.f64 (tan.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2) (/.f64 1 (cbrt.f64 (tan.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 1 (/.f64 1 (cos.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 (.f64 l (PI.f64)))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (sqrt.f64 (sin.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) (cbrt.f64 (sin.f64 (.f64 l (PI.f64))))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (cbrt.f64 (sin.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (neg.f64 (cos.f64 (.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (.f64 1 (neg.f64 (cos.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) 1) (cos.f64 (.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (neg.f64 (sin.f64 (.f64 l (PI.f64))))) (neg.f64 (cos.f64 (.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))) (sqrt.f64 (sin.f64 (.f64 l (PI.f64))))) (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2) (cbrt.f64 (sin.f64 (.f64 l (PI.f64))))) (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) 1) (neg.f64 (cos.f64 (.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 l (PI.f64)))) (sqrt.f64 (tan.f64 (.f64 l (PI.f64))))) (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2)) (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (tan.f64 (.f64 l (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 l (PI.f64)))))))))
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simplify131.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1582×	`associate-/r/`
1450×	`distribute-lft-in`
890×	`times-frac`
612×	`associate-r`
466×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	4966
1	803	4784
2	4647	4780

Stop Event

1×	node limit

Counts

160 → 199

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

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 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 l (PI.f64)))
(+.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 3) (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 (pow.f64 l 5) (-.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))))))
(fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (-.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))) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (.f64 -1/720 (pow.f64 (PI.f64) 7))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(fma.f64 l (PI.f64) (fma.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3)))))
(fma.f64 l (PI.f64) (fma.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 4))) (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 (pow.f64 (PI.f64) 2) -1/2)))) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 (pow.f64 l 5) (-.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)))))))
(fma.f64 l (PI.f64) (fma.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 4))) (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 (pow.f64 (PI.f64) 2) -1/2)))) (.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 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 (pow.f64 (PI.f64) 2) -1/2))) (.f64 (pow.f64 l 3) (*.f64 (pow.f64 (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 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 l (PI.f64)))
(.f64 (.f64 l (PI.f64)) (cbrt.f64 (/.f64 1 (pow.f64 F 4))))
(.f64 l (.f64 (PI.f64) (cbrt.f64 (/.f64 1 (pow.f64 F 4)))))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 l (PI.f64))) (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (fma.f64 l (PI.f64) (.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3))))
(.f64 (fma.f64 l (PI.f64) (.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3))) (cbrt.f64 (/.f64 1 (pow.f64 F 4))))
(.f64 (fma.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 l (PI.f64))) (cbrt.f64 (/.f64 1 (pow.f64 F 4))))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 l (PI.f64))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.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)))))))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (.f64 l (PI.f64)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (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)))))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 (pow.f64 l 5) (-.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)))))))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (-.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))) (.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3)))))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 l (PI.f64))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.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)))))) (pow.f64 l 7))) (.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (.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 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (fma.f64 l (PI.f64) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (+.f64 (.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)) (.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 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (+.f64 (fma.f64 l (PI.f64) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3))) (fma.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 4))) (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 (pow.f64 (PI.f64) 2) -1/2)))) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7) (.f64 (pow.f64 l 5) (-.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)))))))
(.f64 (cbrt.f64 (/.f64 1 (pow.f64 F 4))) (fma.f64 l (PI.f64) (fma.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 4))) (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 (pow.f64 (PI.f64) 2) -1/2)))) (.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 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 (pow.f64 (PI.f64) 2) -1/2))) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3))))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (cbrt.f64 (/.f64 1 (pow.f64 F 4))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (cbrt.f64 (/.f64 1 (pow.f64 F 4)))) (cos.f64 (*.f64 l (PI.f64))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (cbrt.f64 (/.f64 1 (pow.f64 F 4))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (cbrt.f64 (/.f64 1 (pow.f64 F 4)))) (cos.f64 (*.f64 l (PI.f64))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (cbrt.f64 (/.f64 1 (pow.f64 F 4))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (cbrt.f64 (/.f64 1 (pow.f64 F 4)))) (cos.f64 (*.f64 l (PI.f64))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (cbrt.f64 (/.f64 1 (pow.f64 F 4))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (cbrt.f64 (/.f64 1 (pow.f64 F 4)))) (cos.f64 (*.f64 l (PI.f64))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (cbrt.f64 (/.f64 1 (pow.f64 F 4))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (cbrt.f64 (/.f64 1 (pow.f64 F 4)))) (cos.f64 (*.f64 l (PI.f64))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (cbrt.f64 (/.f64 1 (pow.f64 F 4))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (cbrt.f64 (/.f64 1 (pow.f64 F 4)))) (cos.f64 (*.f64 l (PI.f64))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (cbrt.f64 (/.f64 1 (pow.f64 F 4))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (cbrt.f64 (/.f64 1 (pow.f64 F 4)))) (cos.f64 (*.f64 l (PI.f64))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 F 4)) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (cbrt.f64 (/.f64 1 (pow.f64 F 4))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (cbrt.f64 (/.f64 1 (pow.f64 F 4)))) (cos.f64 (*.f64 l (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 l (PI.f64))))) 1)
(tan.f64 (*.f64 l (PI.f64)))
(.f64 (tan.f64 (.f64 l (PI.f64))) 1)
(tan.f64 (*.f64 l (PI.f64)))
(.f64 1 (tan.f64 (.f64 l (PI.f64))))
(tan.f64 (*.f64 l (PI.f64)))
(.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))) (sqrt.f64 (tan.f64 (*.f64 l (PI.f64)))))
(tan.f64 (*.f64 l (PI.f64)))
(.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2))
(tan.f64 (*.f64 l (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2) (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))))
(tan.f64 (*.f64 l (PI.f64)))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 1 (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(.f64 (/.f64 1 (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) 1)
(tan.f64 (*.f64 l (PI.f64)))
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 l (PI.f64)))))
(tan.f64 (*.f64 l (PI.f64)))
(/.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))) (/.f64 1 (sqrt.f64 (tan.f64 (.f64 l (PI.f64))))))
(tan.f64 (*.f64 l (PI.f64)))
(/.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2)))
(tan.f64 (*.f64 l (PI.f64)))
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(/.f64 (.f64 F (tan.f64 (.f64 l (PI.f64)))) (.f64 (cbrt.f64 F) (.f64 F F)))
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(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 (neg.f64 (pow.f64 F 3)) (cbrt.f64 F))) (fma.f64 F F 0))
(.f64 (.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (cbrt.f64 F) (neg.f64 (pow.f64 F 3)))))
(pow.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F))) 1)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 F) 2)) 2)
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))) (cbrt.f64 (.f64 F F))) 2)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))) 3)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))
(pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F))) 3) 1/3)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))
(pow.f64 (.f64 F (/.f64 (cbrt.f64 F) (tan.f64 (.f64 l (PI.f64))))) -1)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))
(neg.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F))))
(/.f64 (neg.f64 (tan.f64 (.f64 l (PI.f64)))) (.f64 F (cbrt.f64 F)))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F))) 2))
(fabs.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F))))
(log.f64 (exp.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F))))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F))) 3))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 3) (.f64 F (pow.f64 F 3))))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3) (pow.f64 F 4)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))
(exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))
(exp.f64 (.f64 (log.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F (cbrt.f64 F)))) 1))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (cbrt.f64 F)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 F))) 1)
(cbrt.f64 F)
(*.f64 (cbrt.f64 F) 1)
(cbrt.f64 F)
(*.f64 1 (cbrt.f64 F))
(cbrt.f64 F)
(*.f64 (pow.f64 F 1/6) (pow.f64 F 1/6))
(cbrt.f64 F)
(*.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (cbrt.f64 F)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 F F))) (cbrt.f64 (cbrt.f64 F)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (cbrt.f64 F)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 F F))) (cbrt.f64 (cbrt.f64 F)))
(*.f64 -1 (cbrt.f64 F))
(neg.f64 (cbrt.f64 F))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 F (cbrt.f64 F)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 F (cbrt.f64 F)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 F F)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 F))
(cbrt.f64 F)
(*.f64 (pow.f64 (sqrt.f64 F) 1/3) (pow.f64 (sqrt.f64 F) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 F)) (cbrt.f64 (sqrt.f64 F)))
(pow.f64 F 1/3)
(cbrt.f64 F)
(pow.f64 (cbrt.f64 F) 1)
(cbrt.f64 F)
(pow.f64 (pow.f64 (cbrt.f64 F) 2) 1/2)
(cbrt.f64 F)
(pow.f64 (pow.f64 F 1/6) 2)
(cbrt.f64 F)
(pow.f64 (cbrt.f64 (cbrt.f64 F)) 3)
(cbrt.f64 F)
(pow.f64 (*.f64 F F) 1/6)
(sqrt.f64 (pow.f64 (cbrt.f64 F) 2))
(cbrt.f64 F)
(fabs.f64 (cbrt.f64 F))
(cbrt.f64 F)
(log.f64 (exp.f64 (cbrt.f64 F)))
(cbrt.f64 F)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 F))))
(cbrt.f64 F)
(expm1.f64 (log1p.f64 (cbrt.f64 F)))
(cbrt.f64 F)
(exp.f64 (log.f64 (cbrt.f64 F)))
(cbrt.f64 F)
(exp.f64 (*.f64 (log.f64 F) 1/3))
(cbrt.f64 F)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 F)) 1))
(cbrt.f64 F)
(log1p.f64 (expm1.f64 (cbrt.f64 F)))
(cbrt.f64 F)

eval370.0ms (2.8%)

Compiler: Compiled 24877 to 9975 computations (59.9% saved)

prune361.0ms (2.8%)

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	923	20	943
Fresh	8	7	15
Picked	1	0	1
Done	2	3	5
Total	934	30	964

Error

0.4b

Counts

964 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	39.5b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
▶	15.0b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	42.0b	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (.f64 l (PI.f64)))) 2) (/.f64 (cbrt.f64 (fma.f64 l (PI.f64) (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))) (cbrt.f64 (-.f64 (pow.f64 (.f64 l (PI.f64)) 2) (/.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2) (pow.f64 F 4))))))
	42.2b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
▶	15.5b	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
	28.5b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	15.5b	(-.f64 (.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	39.4b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
✓	11.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	17.9b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
✓	14.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	17.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) F))
▶	11.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	18.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	39.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
	18.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F)))
▶	28.5b	(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
	52.1b	(.f64 (/.f64 (-.f64 (pow.f64 (.f64 l (PI.f64)) 3) (pow.f64 (.f64 (PI.f64) (/.f64 l (.f64 F F))) 3)) (-.f64 (pow.f64 (.f64 l (PI.f64)) 4) (.f64 (.f64 (PI.f64) (fma.f64 l (pow.f64 F -2) l)) (.f64 (fma.f64 l (pow.f64 F -2) l) (.f64 (PI.f64) (pow.f64 (.f64 (PI.f64) (/.f64 l (.f64 F F))) 2)))))) (-.f64 (pow.f64 (.f64 l (PI.f64)) 2) (.f64 (pow.f64 (.f64 l (PI.f64)) 2) (+.f64 (pow.f64 F -2) (pow.f64 F -4)))))
	43.1b	(.f64 (.f64 (cbrt.f64 (sqrt.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 (cbrt.f64 (sqrt.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)))))))
	21.7b	(.f64 (.f64 l (PI.f64)) (-.f64 1 (pow.f64 F -2)))
	43.1b	(.f64 (cbrt.f64 (sqrt.f64 (.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))))) (pow.f64 (cbrt.f64 (.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))) 2)))
	21.1b	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
	53.6b	(.f64 (PI.f64) (.f64 (pow.f64 F -2) (neg.f64 l)))
▶	21.7b	(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
✓	14.3b	(*.f64 l (PI.f64))
	53.0b	(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
	53.6b	(neg.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))))
	42.2b	(fabs.f64 (.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))))
	29.9b	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
	46.4b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 1109 to 744 computations (32.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.3b	(*.f64 (PI.f64) l)
	30.8b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 46 to 16 computations (65.2% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1406×	`associate-/r*`
1254×	`associate-/l*`
852×	`swap-sqr`
474×	`associate-/l/`
330×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	265	25
2	3317	25

Stop Event

1×	node limit

Counts

1 → 132

Calls

Call 1

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

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

674×	`associate-/r*`
578×	`associate-/l/`
516×	`associate-/l*`
484×	`unswap-sqr`
466×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	438	6072
1	1185	5842
2	4475	5774

Stop Event

1×	node limit

Counts

156 → 199

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(*.f64 l (PI.f64))
✓	2.9b	(+.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))

rewrite60.0ms (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)))))

simplify59.0ms (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))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))
✓	3.8b	(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))

Compiler

Compiled 31 to 22 computations (29% saved)

series7.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	l	@	0	(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
1.0ms	F	@	-inf	(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
1.0ms	F	@	inf	(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
0.0ms	l	@	inf	(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
0.0ms	F	@	0	(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1092×	`*-commutative`
936×	`unswap-sqr`
680×	`associate-*r/`
668×	`swap-sqr`
484×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	249	48
2	3021	48

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

Outputs

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

simplify121.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1218×	`associate-/r*`
1050×	`associate-*r/`
1018×	`*-commutative`
880×	`associate-/r/`
742×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	5047
1	651	4929
2	2748	4637

Stop Event

1×	node limit

Counts

127 → 165

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(*.f64 l (PI.f64))
✓	0.6b	(cbrt.f64 (*.f64 l (PI.f64)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)

Compiler

Compiled 18 to 8 computations (55.6% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 61

Calls

Call 1

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

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

localize52.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) l)
✓	0.5b	(/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))
✓	3.7b	(.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))
	30.8b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 72 to 37 computations (48.6% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	l	@	0	(/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))
1.0ms	F	@	0	(/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))
1.0ms	l	@	inf	(/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))
1.0ms	l	@	0	(.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))
1.0ms	F	@	inf	(/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))

rewrite121.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`unswap-sqr`
898×	`swap-sqr`
604×	`associate-*r/`
458×	`associate-*l/`
390×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	74
1	343	66
2	4075	66

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

Outputs

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

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simplify136.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1684×	`associate-*l/`
838×	`associate-r`
632×	`associate-l`
586×	`associate-+l+`
564×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	389	10120
1	1185	9456
2	5453	9454

Stop Event

1×	node limit

Counts

132 → 180

Calls

Call 1

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

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

eval441.0ms (3.4%)

Compiler: Compiled 23415 to 12095 computations (48.3% saved)

prune291.0ms (2.2%)

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	927	17	944
Fresh	11	11	22
Picked	1	0	1
Done	1	6	7
Total	940	34	974

Error

0.3b

Counts

974 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	39.5b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
✓	15.0b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	53.0b	(/.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 F F))
	26.1b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) 3))
	21.7b	(/.f64 1 (/.f64 (/.f64 1 (fma.f64 -1 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64))) l))
	21.9b	(/.f64 1 (/.f64 (/.f64 1 l) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
▶	14.3b	(/.f64 1 (/.f64 1 (*.f64 l (PI.f64))))
▶	28.5b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
✓	11.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	17.9b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
✓	14.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	17.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) F))
✓	11.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	18.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	17.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) (/.f64 1 F)))
	39.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
	18.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F)))
✓	28.5b	(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
	15.6b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) 2) 3) (cbrt.f64 (*.f64 l (PI.f64))))
	15.0b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)))
	15.2b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))
	15.1b	(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
	21.7b	(.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (*.f64 l (PI.f64)))
	39.5b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
	21.7b	(.f64 (.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))) (PI.f64))
	21.7b	(.f64 (.f64 l (PI.f64)) (-.f64 1 (pow.f64 F -2)))
	21.1b	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
	53.6b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
▶	53.6b	(.f64 l (.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))
▶	27.4b	(.f64 l (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3)))
✓	14.3b	(*.f64 l (PI.f64))
	42.2b	(fabs.f64 (.f64 (.f64 l (PI.f64)) (-.f64 1 (pow.f64 F -2))))
	29.9b	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
▶	46.4b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 798 to 577 computations (27.7% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1306×	`unswap-sqr`
1128×	`associate-*r/`
1098×	`associate-+r+`
992×	`associate-+l+`
764×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1158
1	304	990
2	1383	852
3	6982	852

Stop Event

1×	node limit

Counts

70 → 64

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(*.f64 l (PI.f64))
✓	3.2b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)

Compiler

Compiled 20 to 11 computations (45% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1880×	`add-sqr-sqrt`
1864×	`*-un-lft-identity`
1740×	`add-cube-cbrt`
1726×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	193	9
2	2591	9

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1008×	`associate-+r-`
1006×	`associate--l+`
972×	`associate-/r*`
838×	`associate-+l-`
760×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1133
1	286	1063
2	1042	1055
3	4591	1055

Stop Event

1×	node limit

Counts

61 → 58

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))
✓	8.5b	(.f64 l (.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))

Compiler

Compiled 27 to 18 computations (33.3% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`*-commutative`
892×	`sqrt-prod`
890×	`unswap-sqr`
614×	`swap-sqr`
414×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	247	36
2	3033	36

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1508×	`associate-/l*`
1134×	`unswap-sqr`
862×	`distribute-lft-in`
856×	`associate-/r*`
778×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	2361
1	448	2313
2	1754	2301

Stop Event

1×	node limit

Counts

103 → 85

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 l (PI.f64)) 3)
	0.3b	(*.f64 l (PI.f64))
✓	40.3b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	205	24
2	2186	24

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1282×	`unswap-sqr`
1194×	`associate-+r+`
1128×	`associate-+l+`
756×	`associate-/l*`
502×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	1071
1	286	1071
2	1136	1071
3	4829	1071

Stop Event

1×	node limit

Counts

83 → 65

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))
✓	0.6b	(pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3)
✓	3.8b	(.f64 l (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3)))
✓	10.6b	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3))

Compiler

Compiled 54 to 41 computations (24.1% saved)

series2.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	F	@	0	(pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3)
0.0ms	F	@	inf	(pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3)
0.0ms	F	@	-inf	(pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3)
0.0ms	F	@	-inf	(.f64 l (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3)))
0.0ms	F	@	0	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3))

rewrite100.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`swap-sqr`
794×	`associate-*r/`
636×	`associate-*l/`
602×	`distribute-rgt-in`
558×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	75
1	335	75
2	3737	75

Stop Event

1×	node limit

Counts

3 → 216

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3))
(.f64 l (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3)))
(pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3)

Outputs

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

simplify140.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1030×	`associate-r`
1016×	`associate-l`
940×	`associate-/l*`
666×	`+-commutative`
604×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	542	11246
1	1456	10680
2	6072	10564

Stop Event

1×	node limit

Counts

264 → 319

Calls

Call 1

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

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

eval241.0ms (1.8%)

Compiler: Compiled 11748 to 8218 computations (30% saved)

prune144.0ms (1.1%)

Pruning

27 alts after pruning (19 fresh and 8 done)

	Pruned	Kept	Total
New	705	8	713
Fresh	12	11	23
Picked	1	0	1
Done	2	8	10
Total	720	27	747

Error

0.3b

Counts

747 → 27

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.0b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	62.0b	(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)
	53.0b	(/.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 F F))
	53.0b	(/.f64 l (/.f64 (*.f64 F F) (neg.f64 (PI.f64))))
	15.1b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 l (PI.f64)))) 3))
	14.6b	(/.f64 1 (/.f64 (/.f64 1 l) (PI.f64)))
✓	28.5b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
✓	11.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	17.9b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
✓	14.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	17.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) F))
✓	11.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	18.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	17.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) (/.f64 1 F)))
	39.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
	18.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F)))
✓	28.5b	(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
	14.6b	(*.f64 (/.f64 1 (/.f64 1 l)) (PI.f64))
	21.7b	(.f64 (.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))) (PI.f64))
	21.1b	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
	53.6b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
	21.7b	(.f64 l (.f64 (PI.f64) (-.f64 1 (/.f64 1 (*.f64 F F)))))
✓	53.6b	(.f64 l (.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))
	14.5b	(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
✓	14.3b	(*.f64 l (PI.f64))
	53.0b	(neg.f64 (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))
	29.9b	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))

Compiler

Compiled 314 to 225 computations (28.3% saved)

regimes467.0ms (3.6%)

Counts

67 → 3

Calls

Call 1

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

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

Calls

6 calls:

107.0ms	F
95.0ms	(*.f64 (PI.f64) l)
86.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
83.0ms	l
38.0ms	(*.f64 F F)

Results

Error	Segments	Branch
6.1b	3	`F`
0.7b	3	`l`
5.0b	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0.7b	3	`(*.f64 (PI.f64) l)`
6.6b	2	`(/.f64 1 (*.f64 F F))`
6.2b	2	`(*.f64 F F)`

Compiler

Compiled 1041 to 481 computations (53.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1574103378441775.3	5.4009190368910004e+26
0.0ms	-1.22412648590243e+25	-1270165743.7943292

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes362.0ms (2.8%)

Counts

37 → 3

Calls

Call 1

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

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

Calls

5 calls:

125.0ms	(/.f64 1 (*.f64 F F))
113.0ms	F
47.0ms	(*.f64 (PI.f64) l)
46.0ms	l
23.0ms	(*.f64 F F)

Results

Error	Segments	Branch
6.2b	3	`F`
1.0b	3	`l`
1.0b	3	`(*.f64 (PI.f64) l)`
6.7b	2	`(/.f64 1 (*.f64 F F))`
6.2b	2	`(*.f64 F F)`

Compiler

Compiled 345 to 166 computations (51.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3367514323382495e-12	164.55834574143933
0.0ms	-1.22412648590243e+25	-1270165743.7943292

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes186.0ms (1.4%)

Counts

26 → 3

Calls

Call 1

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

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

Calls

4 calls:

77.0ms	F
39.0ms	l
36.0ms	(*.f64 F F)
26.0ms	(/.f64 1 (*.f64 F F))

Results

Error	Segments	Branch
9.1b	6	`F`
1.0b	3	`l`
10.1b	4	`(/.f64 1 (*.f64 F F))`
9.6b	4	`(*.f64 F F)`

Compiler

Compiled 243 to 115 computations (52.7% saved)

bsearch139.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	4.255011962836074e-13	52.38054830355043
111.0ms	-3.896515624021662e+24	-404306313.3417227

Results

68.0ms	101×	body	8192	exit
39.0ms	270×	body	256	valid
9.0ms	51×	body	256	infinite
8.0ms	2×	body	4096	valid
5.0ms	4×	body	2048	valid
3.0ms	5×	body	1024	valid
2.0ms	7×	body	512	valid

Compiler

Compiled 381 to 266 computations (30.2% saved)

regimes275.0ms (2.1%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

4 calls:

116.0ms	F
53.0ms	l
52.0ms	(/.f64 1 (*.f64 F F))
50.0ms	(*.f64 F F)

Results

Error	Segments	Branch
9.1b	6	`F`
1.0b	3	`l`
10.1b	4	`(/.f64 1 (*.f64 F F))`
9.6b	4	`(*.f64 F F)`

Compiler

Compiled 210 to 107 computations (49% saved)

bsearch80.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	4.255011962836074e-13	52.38054830355043
52.0ms	-3.896515624021662e+24	-404306313.3417227

Results

41.0ms	309×	body	256	valid
9.0ms	67×	body	256	infinite
7.0ms	5×	body	2048	valid
2.0ms	3×	body	1024	valid
1.0ms	3×	body	512	valid

Compiler

Compiled 421 to 294 computations (30.2% saved)

regimes206.0ms (1.6%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

4 calls:

98.0ms	F
45.0ms	(/.f64 1 (*.f64 F F))
30.0ms	l
27.0ms	(*.f64 F F)

Results

Error	Segments	Branch
9.1b	6	`F`
4.2b	3	`l`
10.1b	4	`(/.f64 1 (*.f64 F F))`
9.7b	4	`(*.f64 F F)`

Compiler

Compiled 199 to 102 computations (48.7% saved)

bsearch136.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	4.255011962836074e-13	52.38054830355043
109.0ms	-3.896515624021662e+24	-404306313.3417227

Results

112.0ms	310×	body	256	valid
10.0ms	73×	body	256	infinite
8.0ms	6×	body	2048	valid
2.0ms	3×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 381 to 274 computations (28.1% saved)

regimes120.0ms (0.9%)

Counts

12 → 7

Calls

Call 1

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

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

Calls

3 calls:

70.0ms	F
22.0ms	(*.f64 F F)
7.0ms	l

Results

Error	Segments	Branch
9.5b	7	`F`
14.3b	1	`l`
10.3b	5	`(*.f64 F F)`

Compiler

Compiled 98 to 49 computations (50% saved)

bsearch278.0ms (2.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
32.0ms	0.6618002362201837	1706.3080545341484
19.0ms	4.413423228809521e-44	1.0212620390162457e-43
24.0ms	6.926718067264768e-95	2.1389400494569869e-94
61.0ms	1.1188379837678028e-145	9.158263646434618e-138
93.0ms	-4.868371869316082e-156	-5.6779955011564405e-158
48.0ms	-2.296832020597865e-111	-7.224906111209584e-117

Results

119.0ms	240×	body	1024	valid
85.0ms	57×	body	2048	valid
54.0ms	348×	body	256	valid
11.0ms	43×	body	512	valid
1.0ms	4×	body	256	infinite

Compiler

Compiled 856 to 677 computations (20.9% saved)

regimes120.0ms (0.9%)

Counts

11 → 7

Calls

Call 1

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

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

Calls

3 calls:

86.0ms	F
25.0ms	(*.f64 F F)
6.0ms	l

Results

Error	Segments	Branch
9.5b	7	`F`
14.3b	1	`l`
10.3b	5	`(*.f64 F F)`

Compiler

Compiled 90 to 47 computations (47.8% saved)

bsearch321.0ms (2.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
72.0ms	0.6618002362201837	1706.3080545341484
18.0ms	4.413423228809521e-44	1.0212620390162457e-43
28.0ms	6.926718067264768e-95	2.1389400494569869e-94
53.0ms	1.1188379837678028e-145	9.158263646434618e-138
107.0ms	-4.868371869316082e-156	-5.6779955011564405e-158
42.0ms	-2.296832020597865e-111	-7.224906111209584e-117

Results

150.0ms	228×	body	1024	valid
100.0ms	66×	body	2048	valid
51.0ms	359×	body	256	valid
9.0ms	35×	body	512	valid
1.0ms	8×	body	256	infinite

Compiler

Compiled 856 to 677 computations (20.9% saved)

regimes69.0ms (0.5%)

Counts

10 → 7

Calls

Call 1

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

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

Calls

3 calls:

39.0ms	F
22.0ms	(*.f64 F F)
6.0ms	l

Results

Error	Segments	Branch
9.5b	7	`F`
14.3b	1	`l`
10.3b	5	`(*.f64 F F)`

Compiler

Compiled 82 to 45 computations (45.1% saved)

bsearch244.0ms (1.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
31.0ms	0.6618002362201837	1706.3080545341484
24.0ms	4.413423228809521e-44	1.0212620390162457e-43
22.0ms	6.926718067264768e-95	2.1389400494569869e-94
45.0ms	1.1188379837678028e-145	9.158263646434618e-138
79.0ms	-4.868371869316082e-156	-5.6779955011564405e-158
44.0ms	-2.296832020597865e-111	-7.224906111209584e-117

Results

96.0ms	226×	body	1024	valid
71.0ms	63×	body	2048	valid
53.0ms	360×	body	256	valid
11.0ms	39×	body	512	valid
1.0ms	7×	body	256	infinite

Compiler

Compiled 856 to 677 computations (20.9% saved)

regimes60.0ms (0.5%)

Counts

8 → 7

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	F
18.0ms	(*.f64 F F)
6.0ms	l

Results

Error	Segments	Branch
9.8b	7	`F`
14.3b	1	`l`
10.7b	5	`(*.f64 F F)`

Compiler

Compiled 66 to 39 computations (40.9% saved)

bsearch309.0ms (2.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
72.0ms	0.6618002362201837	1706.3080545341484
20.0ms	4.413423228809521e-44	1.0212620390162457e-43
25.0ms	6.926718067264768e-95	2.1389400494569869e-94
66.0ms	1.1188379837678028e-145	9.158263646434618e-138
82.0ms	-3.420193693904174e-153	-4.868371869316082e-156
43.0ms	-2.296832020597865e-111	-7.224906111209584e-117

Results

103.0ms	242×	body	1024	valid
74.0ms	63×	body	2048	valid
70.0ms	359×	body	256	valid
52.0ms	40×	body	512	valid

Compiler

Compiled 877 to 694 computations (20.9% saved)

regimes11.0ms (0.1%)

Accuracy

Total -47.8b remaining (-334.6%)

Threshold costs -47.8b (-334.6%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	F
5.0ms	l

Results

Error	Segments	Branch
14.3b	1	`F`
14.3b	1	`l`

Compiler

Compiled 53 to 32 computations (39.6% saved)

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

56×	`*-commutative`
54×	`+-commutative`
40×	`sub-neg`
36×	`neg-mul-1`
36×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	1138
1	190	1138
2	243	1138
3	279	1138
4	300	1138
5	307	1138
6	308	1138

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) -10000000000000000905969664) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 2000000000000000) (-.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) -10000000000000000905969664) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 4951760157141521/2475880078570760549798248448) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F)) (*.f64 l (PI.f64))))
(if (<=.f64 l -5895390754227199/128) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (<=.f64 l -7500000000000) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F))) (.f64 l (PI.f64))))
(if (<=.f64 l -15500000000000) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) (.f64 l (PI.f64))))
(if (<=.f64 F -6281829775742471/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (.f64 l (PI.f64)) (if (<=.f64 F -4444218151469847/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (/.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 F F)) (if (<=.f64 F 1501674488153571/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (if (<=.f64 F 3081287868599269/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (/.f64 l (/.f64 (.f64 F F) (neg.f64 (PI.f64)))) (if (<=.f64 F 4820814132776971/50216813883093446110686315385661331328818843555712276103168) (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (if (<=.f64 F 6124895493223875/9007199254740992) (neg.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (*.f64 l (PI.f64))))))))
(if (<=.f64 F -4187840306000079/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472) (.f64 l (PI.f64)) (if (<=.f64 F -2318722513810355/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928) (neg.f64 (/.f64 (PI.f64) (/.f64 (.f64 F F) l))) (if (<=.f64 F 1812306582274481/54918381281044877719855206392651145738155482401146443275155707673484345467181248416980477125291636439818370491131846864296975903997733150500592226328920457216) (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (if (<=.f64 F 7365029539578741/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 l (/.f64 (.f64 F F) (neg.f64 (PI.f64)))) (if (<=.f64 F 3013008832985607/50216813883093446110686315385661331328818843555712276103168) (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (if (<=.f64 F 6124895493223875/9007199254740992) (neg.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (PI.f64))))))))
(if (<=.f64 F -7208941204714119/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (.f64 l (PI.f64)) (if (<=.f64 F -8038238047875897/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (neg.f64 (/.f64 (PI.f64) (/.f64 (.f64 F F) l))) (if (<=.f64 F 888267275358697/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256) (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (if (<=.f64 F 6575919231766733/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (neg.f64 (/.f64 (PI.f64) (/.f64 (.f64 F F) l))) (if (<=.f64 F 4820814132776971/50216813883093446110686315385661331328818843555712276103168) (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (if (<=.f64 F 6124895493223875/9007199254740992) (neg.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (PI.f64))))))))
(if (<=.f64 F -7278257947067139/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (.f64 l (PI.f64)) (if (<=.f64 F -7170528607160929/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (neg.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (if (<=.f64 F 4826810854779335/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (if (<=.f64 F 70456277483215/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (neg.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (if (<=.f64 F 8235557476827325/100433627766186892221372630771322662657637687111424552206336) (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (if (<=.f64 F 6124895493223875/9007199254740992) (neg.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (PI.f64))))))))
(*.f64 l (PI.f64))

Outputs
(if (<=.f64 (.f64 (PI.f64) l) -10000000000000000905969664) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 2000000000000000) (-.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) -10000000000000000905969664) (not (<=.f64 (.f64 (PI.f64) l) 2000000000000000))) (.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) -10000000000000000905969664) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 4951760157141521/2475880078570760549798248448) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F)) (*.f64 l (PI.f64))))
(if (or (<=.f64 (.f64 (PI.f64) l) -10000000000000000905969664) (not (<=.f64 (.f64 (PI.f64) l) 4951760157141521/2475880078570760549798248448))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F)))
(if (<=.f64 l -5895390754227199/128) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -5895390754227199/128) (not (<=.f64 l 1/2))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(if (<=.f64 l -7500000000000) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -7500000000000) (not (<=.f64 l 1/2))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))))
(if (<=.f64 l -15500000000000) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -15500000000000) (not (<=.f64 l 1/2))) (.f64 (PI.f64) l) (.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(if (<=.f64 F -6281829775742471/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (.f64 l (PI.f64)) (if (<=.f64 F -4444218151469847/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (/.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 F F)) (if (<=.f64 F 1501674488153571/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (if (<=.f64 F 3081287868599269/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (/.f64 l (/.f64 (.f64 F F) (neg.f64 (PI.f64)))) (if (<=.f64 F 4820814132776971/50216813883093446110686315385661331328818843555712276103168) (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (if (<=.f64 F 6124895493223875/9007199254740992) (neg.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (*.f64 l (PI.f64))))))))
(if (<=.f64 F -6281829775742471/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (.f64 (PI.f64) l) (if (<=.f64 F -4444218151469847/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (/.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 F F)) (if (<=.f64 F 1501674488153571/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (+.f64 1 (+.f64 (.f64 (PI.f64) l) -1)) (if (<=.f64 F 3081287868599269/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (/.f64 l (/.f64 (.f64 F F) (neg.f64 (PI.f64)))) (if (<=.f64 F 4820814132776971/50216813883093446110686315385661331328818843555712276103168) (+.f64 1 (+.f64 (.f64 (PI.f64) l) -1)) (if (<=.f64 F 6124895493223875/9007199254740992) (.f64 l (neg.f64 (/.f64 (PI.f64) (.f64 F F)))) (*.f64 (PI.f64) l)))))))
(if (<=.f64 F -6281829775742471/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (.f64 (PI.f64) l) (if (<=.f64 F -4444218151469847/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (/.f64 (.f64 (PI.f64) (neg.f64 l)) (.f64 F F)) (if (<=.f64 F 1501674488153571/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (+.f64 1 (+.f64 (.f64 (PI.f64) l) -1)) (if (<=.f64 F 3081287868599269/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (/.f64 l (/.f64 (.f64 F F) (neg.f64 (PI.f64)))) (if (<=.f64 F 4820814132776971/50216813883093446110686315385661331328818843555712276103168) (+.f64 1 (+.f64 (.f64 (PI.f64) l) -1)) (if (<=.f64 F 6124895493223875/9007199254740992) (.f64 l (neg.f64 (/.f64 (PI.f64) (.f64 F F)))) (*.f64 (PI.f64) l)))))))
(if (<=.f64 F -4187840306000079/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472) (.f64 l (PI.f64)) (if (<=.f64 F -2318722513810355/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928) (neg.f64 (/.f64 (PI.f64) (/.f64 (.f64 F F) l))) (if (<=.f64 F 1812306582274481/54918381281044877719855206392651145738155482401146443275155707673484345467181248416980477125291636439818370491131846864296975903997733150500592226328920457216) (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (if (<=.f64 F 7365029539578741/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 l (/.f64 (.f64 F F) (neg.f64 (PI.f64)))) (if (<=.f64 F 3013008832985607/50216813883093446110686315385661331328818843555712276103168) (+.f64 1 (-.f64 (.f64 l (PI.f64)) 1)) (if (<=.f64 F 6124895493223875/9007199254740992) (neg.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (PI.f64))))))))
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(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

Compiler

Compiled 417 to 229 computations (45.1% saved)

soundness72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 42 to 16 computations (61.9% saved)

end186.0ms (1.4%)

Compiler: Compiled 399 to 173 computations (56.6% saved)