Details

analyze298.0ms (2.8%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.8s (26.7%)

Results

1.1s	1020×	body	2048	valid
695.0ms	1935×	body	1024	valid
594.0ms	4496×	body	256	valid
181.0ms	757×	body	512	valid
157.0ms	48×	body	4096	valid
41.0ms	309×	body	256	infinite
5.0ms	9×	body	2048	infinite
4.0ms	7×	body	8192	exit

Bogosity

preprocess203.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify37.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

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

15.7b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	15.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 30 to 18 computations (40% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (PI.f64) l)
✓	0.6b	(/.f64 1 (*.f64 F F))
✓	3.7b	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	31.3b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series10.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	l	@	-inf	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
2.0ms	F	@	0	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
1.0ms	l	@	0	(tan.f64 (*.f64 (PI.f64) l))
1.0ms	l	@	0	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
1.0ms	F	@	inf	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))

rewrite89.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 233

Calls

Call 1

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

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

simplify141.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

293 → 325

Calls

Call 1

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

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

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)))
	0.2b	(*.f64 (PI.f64) l)
✓	3.8b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	31.3b	(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)))

rewrite100.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

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

Outputs
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Outputs

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simplify162.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

188 → 234

Calls

Call 1

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

Outputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
(fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)) F) (/.f64 -1/2 F))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
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(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 4))))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))))
(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)) F) (/.f64 -1/2 F))) (pow.f64 l 5) (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) 1/840) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 1/24 (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (pow.f64 (PI.f64) 4))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
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(fma.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (.f64 l (PI.f64)))
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(fma.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (.f64 l (PI.f64)))
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(fma.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (.f64 l (PI.f64)))
(fma.f64 1 (.f64 (PI.f64) l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(fma.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (.f64 l (PI.f64)))
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(fma.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (.f64 l (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (cbrt.f64 (.f64 (PI.f64) l)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
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eval310.0ms (2.9%)

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

prune166.0ms (1.6%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	662	19	681
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	662	21	683

Error

0.4b

Counts

683 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	16.4b	(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))))
	51.8b	(/.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 (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))))
	41.1b	(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 l (PI.f64)) 2) (/.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2) (pow.f64 F 4)))) (/.f64 (/.f64 (fma.f64 (PI.f64) l (.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))))) (cbrt.f64 (-.f64 (pow.f64 (.f64 l (PI.f64)) 2) (/.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2) (pow.f64 F 4))))))
	41.0b	(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 l (PI.f64)) 2) (/.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2) (pow.f64 F 4)))) (/.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (.f64 l (PI.f64)))) 2)))
	15.9b	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
	51.8b	(-.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) l) 3) 1/3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	40.7b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	16.4b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	15.9b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3))
	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
▶	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	22.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
✓	15.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	29.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	18.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
✓	15.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	43.9b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	43.9b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	40.8b	(.f64 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))
▶	22.4b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
▶	11.5b	(*.f64 l (PI.f64))

Compiler

Compiled 914 to 564 computations (38.3% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite47.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
✓	0.6b	(/.f64 (PI.f64) (*.f64 F F))
✓	3.7b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))

Compiler

Compiled 29 to 7 computations (75.9% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite105.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	67
1	216	67
2	3078	67

Stop Event

1×	node limit

Counts

3 → 195

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 1 (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) F)) (/.f64 (sqrt.f64 (PI.f64)) F) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 2) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 1 (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) F)) (/.f64 (sqrt.f64 (PI.f64)) F) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 2) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (PI.f64)) (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))) (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 l (PI.f64))) (*.f64 1 (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 l (PI.f64)) 1) (*.f64 (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (/.f64 1 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) (/.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3))) (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))) l) (-.f64 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 3)) l) (+.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 F 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simplify157.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1072×	`associate-+r+`
1062×	`associate-+l+`
714×	`+-commutative`
670×	`associate-r`
642×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	462	12645
1	1308	11743
2	6779	11743

Stop Event

1×	node limit

Counts

243 → 274

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
✓	0.2b	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
	0.2b	(*.f64 (PI.f64) l)
	31.3b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 46 to 16 computations (65.2% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

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

Outputs

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

simplify135.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

174 → 194

Calls

Call 1

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

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

localize63.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) l)
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
	3.8b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	31.3b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 49 to 14 computations (71.4% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite88.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	9
1	200	9
2	2026	9

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

29 → 33

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (PI.f64) 3)
	3.8b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	31.3b	(tan.f64 (*.f64 (PI.f64) l))
✓	41.2b	(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))

Compiler

Compiled 62 to 30 computations (51.6% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

3 calls:

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

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1914×	`add-sqr-sqrt`
1884×	`*-un-lft-identity`
1768×	`add-cube-cbrt`
1748×	`add-cbrt-cube`
200×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	231	18
2	2565	18

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1670×	`distribute-lft-in`
1662×	`distribute-rgt-in`
986×	`associate-+r+`
932×	`associate-+l+`
584×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	658
1	261	658
2	957	658
3	2798	658

Stop Event

1×	node limit

Counts

60 → 55

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

eval449.0ms (4.3%)

Compiler: Compiled 25559 to 12891 computations (49.6% saved)

prune312.0ms (3%)

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	954	19	973
Fresh	10	4	14
Picked	1	0	1
Done	1	5	6
Total	966	28	994

Error

0.3b

Counts

994 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	54.5b	(pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)
	37.8b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
▶	12.4b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	27.2b	(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))
	55.7b	(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
▶	27.0b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	16.4b	(-.f64 (.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	40.8b	(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 (PI.f64) l))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	16.4b	(-.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
▶	40.7b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	15.9b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3))
▶	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	12.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) 3)))
	18.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
✓	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
✓	15.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	29.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	18.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
✓	15.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	55.7b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
✓	22.4b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
	55.7b	(.f64 l (.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
	27.0b	(.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))) 3)))
✓	11.5b	(*.f64 l (PI.f64))
▶	55.6b	(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
	55.7b	(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
	30.5b	(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
	46.4b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 692 to 479 computations (30.8% 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)
	0.2b	(*.f64 (PI.f64) l)
	31.3b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 38 to 8 computations (78.9% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite69.0ms (0.7%)

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 (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

116 → 125

Calls

Call 1

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

Outputs
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 l (/.f64 F (PI.f64)))
(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))
(+.f64 (/.f64 l (/.f64 F (PI.f64))) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3)))
(fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (.f64 (/.f64 l F) (PI.f64)))
(fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (.f64 (PI.f64) (/.f64 l F)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (+.f64 (/.f64 l (/.f64 F (PI.f64))) (.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (/.f64 F (pow.f64 (PI.f64) 2)) 1/3)) (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (.f64 (/.f64 l F) (PI.f64))))
(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (/.f64 F (pow.f64 (PI.f64) 2)) 1/3)))) (pow.f64 l 5) (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (.f64 (PI.f64) (/.f64 l F))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (.f64 l (PI.f64)) F) (+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)) (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) F)) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F)) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) F))))) (pow.f64 l 7)))))
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(.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))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 l (PI.f64)))
	0.2b	(*.f64 l (PI.f64))
✓	2.4b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)

Compiler

Compiled 20 to 11 computations (45% saved)

series0.0ms (0%)

Counts

2 → 18

Calls

6 calls:

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

rewrite82.0ms (0.8%)

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	36
1	193	20
2	2591	20

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

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

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

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1100×	`distribute-lft-in`
950×	`associate-/l*`
926×	`distribute-rgt-in`
766×	`unswap-sqr`
530×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2101
1	410	1979
2	1825	1975

Stop Event

1×	node limit

Counts

105 → 100

Calls

Call 1

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

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

localize31.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 l (PI.f64))
✓	8.3b	(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))

Compiler

Compiled 29 to 16 computations (44.8% saved)

series5.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite100.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1338×	`associate-/r*`
1250×	`associate-/l*`
942×	`*-commutative`
832×	`associate-*r/`
602×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	208	21
2	2663	21

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

Outputs

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

simplify112.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1556×	`associate-/l*`
1304×	`associate-+r-`
1284×	`associate-+l-`
858×	`times-frac`
804×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	159	1698
1	422	1650
2	1455	1650
3	6514	1650

Stop Event

1×	node limit

Counts

66 → 76

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 18 to 8 computations (55.6% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite99.0ms (0.9%)

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)))))))))

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 61

Calls

Call 1

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

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

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (PI.f64) (sqrt.f64 l))
	0.2b	(*.f64 (PI.f64) l)
	3.8b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	31.3b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 52 to 11 computations (78.8% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1416×	`add-sqr-sqrt`
1402×	`*-un-lft-identity`
1292×	`add-cube-cbrt`
1274×	`add-cbrt-cube`
1260×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	154	13
2	1795	13

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

952×	`log-prod`
938×	`associate--l+`
646×	`distribute-lft-out`
642×	`distribute-rgt-in`
638×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	300
1	85	228
2	297	156
3	1709	156
4	4661	156
5	7302	156

Stop Event

1×	node limit

Counts

12 → 15

Calls

Call 1

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

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

eval259.0ms (2.5%)

Compiler: Compiled 13647 to 5753 computations (57.8% saved)

prune157.0ms (1.5%)

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	653	20	673
Fresh	9	9	18
Picked	1	0	1
Done	3	6	9
Total	666	35	701

Error

0.2b

Counts

701 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	13.3b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 3) 3)
	12.5b	(pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 3)
	37.8b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
✓	12.4b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	27.2b	(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))
	55.7b	(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
▶	44.7b	(-.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 l (PI.f64)) 2)) (-.f64 1 (.f64 l (PI.f64)))) 1)
	44.7b	(-.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 l (PI.f64))) (-.f64 1 (pow.f64 (.f64 l (PI.f64)) 2)))) 1)
	40.7b	(-.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 l))) 2) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	44.7b	(-.f64 (.f64 (-.f64 1 (pow.f64 (.f64 l (PI.f64)) 2)) (/.f64 1 (-.f64 1 (*.f64 l (PI.f64))))) 1)
	15.8b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) 3))
	18.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
	25.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) F) F))
	18.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
✓	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	12.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) F))
✓	15.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	15.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
▶	62.0b	(-.f64 1 1)
▶	12.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)))
▶	12.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
	12.4b	(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
	12.4b	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
	37.8b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
	55.7b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
✓	22.4b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
	27.0b	(.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))) 3)))
✓	11.5b	(*.f64 l (PI.f64))
	52.0b	(.f64 -1 (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
▶	52.1b	(.f64 -1 (.f64 (/.f64 l (/.f64 F (PI.f64))) (/.f64 1 F)))
	52.0b	(.f64 -1 (.f64 (PI.f64) (/.f64 (/.f64 l F) F)))
	55.6b	(.f64 -1 (neg.f64 (/.f64 (.f64 l (neg.f64 (PI.f64))) (*.f64 F F))))
	55.7b	(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
	30.5b	(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
	46.4b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 836 to 600 computations (28.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 14 computations (64.1% saved)

series2.0ms (0%)

Counts

3 → 0

Calls

6 calls:

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

rewrite99.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

Outputs

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

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

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

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

63 → 72

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 17 computations (55.3% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1176×	`associate-/r/`
1120×	`unswap-sqr`
968×	`associate-/l/`
874×	`swap-sqr`
430×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	236	45
2	3306	45

Stop Event

1×	node limit

Counts

3 → 206

Calls

Call 1

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

Outputs

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1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 F (PI.f64))))))))

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

simplify112.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1366×	`distribute-rgt-in`
1358×	`distribute-lft-in`
878×	`associate-r`
848×	`associate-l`
744×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	478	5092
1	1344	4984
2	6098	4984

Stop Event

1×	node limit

Counts

254 → 250

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

localize51.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 l (PI.f64))
✓	0.2b	(pow.f64 (*.f64 l (PI.f64)) 2)
✓	2.4b	(-.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 l (PI.f64)) 2)) (-.f64 1 (.f64 l (PI.f64)))) 1)
✓	16.7b	(/.f64 (-.f64 1 (pow.f64 (.f64 l (PI.f64)) 2)) (-.f64 1 (.f64 l (PI.f64))))

Compiler

Compiled 54 to 30 computations (44.4% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	l	@	inf	(-.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 l (PI.f64)) 2)) (-.f64 1 (.f64 l (PI.f64)))) 1)
1.0ms	l	@	-inf	(-.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 l (PI.f64)) 2)) (-.f64 1 (.f64 l (PI.f64)))) 1)
1.0ms	l	@	0	(-.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 l (PI.f64)) 2)) (-.f64 1 (.f64 l (PI.f64)))) 1)
0.0ms	l	@	-inf	(/.f64 (-.f64 1 (pow.f64 (.f64 l (PI.f64)) 2)) (-.f64 1 (.f64 l (PI.f64))))
0.0ms	l	@	0	(/.f64 (-.f64 1 (pow.f64 (.f64 l (PI.f64)) 2)) (-.f64 1 (.f64 l (PI.f64))))

rewrite122.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1858×	`associate-/r*`
1322×	`associate-/r/`
1114×	`associate-/l/`
310×	`add-sqr-sqrt`
300×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	103
1	298	39
2	4217	39

Stop Event

1×	node limit

Counts

3 → 245

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 l (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 l (PI.f64)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 1 (*.f64 l (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (-.f64 1 (*.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (-.f64 1 (*.f64 l (PI.f64))))) (/.f64 1 (-.f64 1 (*.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 1 (*.f64 l (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 l (PI.f64)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 l (PI.f64)))) (/.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (-.f64 1 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 l (PI.f64)))) (-.f64 (-.f64 (/.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (-.f64 1 (*.f64 l (PI.f64)))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 l (PI.f64)))) (-.f64 (+.f64 1 (/.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (-.f64 1 (*.f64 l (PI.f64))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 l (PI.f64)))) (+.f64 (-.f64 (/.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (-.f64 1 (*.f64 l (PI.f64)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 (*.f64 l (PI.f64))) 2) (+.f64 (*.f64 l (PI.f64)) 2)) (-.f64 (/.f64 1 (+.f64 (*.f64 l (PI.f64)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 (*.f64 l 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simplify146.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1432×	`associate-l`
1428×	`associate-/l*`
1210×	`distribute-lft-in`
1096×	`distribute-rgt-in`
706×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	590	14215
1	1861	14057

Stop Event

1×	node limit

Counts

281 → 378

Calls

Call 1

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

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 l (PI.f64))
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
	0.5b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)
	0.6b	(cbrt.f64 (*.f64 l (PI.f64)))

Compiler

Compiled 29 to 11 computations (62.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

0.0ms

inf

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

0.0ms

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

rewrite123.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1708×	`add-sqr-sqrt`
1682×	`*-un-lft-identity`
1566×	`add-cube-cbrt`
1544×	`add-cbrt-cube`
188×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	221	9
2	2285	9

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

946×	`distribute-lft-in`
894×	`distribute-rgt-in`
840×	`distribute-lft-out`
710×	`*-commutative`
618×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	234
1	87	234
2	273	234
3	1942	234
4	5686	234

Stop Event

1×	node limit

Counts

26 → 15

Calls

Call 1

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

eval401.0ms (3.8%)

Compiler: Compiled 18344 to 9980 computations (45.6% saved)

prune263.0ms (2.5%)

Pruning

37 alts after pruning (27 fresh and 10 done)

	Pruned	Kept	Total
New	863	11	874
Fresh	8	16	24
Picked	0	1	1
Done	1	9	10
Total	872	37	909

Error

0.2b

Counts

909 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	13.3b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 3) 3)
	12.5b	(pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 3)
	37.8b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
✓	12.4b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	55.7b	(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
	27.0b	(-.f64 (pow.f64 (/.f64 1 (+.f64 1 (*.f64 l (PI.f64)))) -1) 1)
✓	44.7b	(-.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 l (PI.f64)) 2)) (-.f64 1 (.f64 l (PI.f64)))) 1)
	44.7b	(-.f64 (/.f64 (-.f64 1 (.f64 (.f64 (.f64 l (PI.f64)) (PI.f64)) l)) (-.f64 1 (.f64 l (PI.f64)))) 1)
	44.7b	(-.f64 (/.f64 (-.f64 1 (.f64 (.f64 (.f64 l (PI.f64)) l) (PI.f64))) (-.f64 1 (.f64 l (PI.f64)))) 1)
	15.8b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) 3))
	25.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) F) F))
✓	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	12.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) 2) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) F))
✓	15.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	15.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	28.4b	(-.f64 (*.f64 l (PI.f64)) 1)
✓	62.0b	(-.f64 1 1)
	12.6b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 3))
	12.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (*.f64 (pow.f64 (pow.f64 (PI.f64) 1/6) 2) (cbrt.f64 l)))
✓	12.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)))
✓	12.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
	12.4b	(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
	12.4b	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
	37.8b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
	36.2b	(.f64 (cbrt.f64 (.f64 l l)) (*.f64 (cbrt.f64 l) (PI.f64)))
	55.7b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
✓	22.4b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
	27.0b	(.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))) 3)))
✓	11.5b	(*.f64 l (PI.f64))
	52.1b	(*.f64 -1 (/.f64 (/.f64 1 F) (/.f64 (/.f64 F (PI.f64)) l)))
	52.0b	(.f64 -1 (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
	55.6b	(.f64 -1 (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
	52.1b	(.f64 -1 (.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 1 F)))
	52.0b	(.f64 -1 (.f64 (PI.f64) (/.f64 (/.f64 l F) F)))
	55.7b	(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
	30.5b	(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
	46.4b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 456 to 329 computations (27.9% saved)

regimes431.0ms (4.1%)

Counts

71 → 3

Calls

Call 1

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

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:

95.0ms	(*.f64 (PI.f64) l)
88.0ms	l
86.0ms	F
71.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
39.0ms	(*.f64 F F)

Results

Error	Segments	Branch
6.0b	3	`F`
0.5b	3	`l`
5.0b	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0.5b	3	`(*.f64 (PI.f64) l)`
6.2b	2	`(/.f64 1 (*.f64 F F))`
6.2b	2	`(*.f64 F F)`

Compiler

Compiled 1054 to 455 computations (56.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5663.899887357123	1751189350526196500.0
0.0ms	-2.867499134893123e+25	-641270983816967.0

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes169.0ms (1.6%)

Counts

31 → 3

Calls

Call 1

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

Calls

4 calls:

57.0ms	(*.f64 (PI.f64) l)
44.0ms	F
42.0ms	l
18.0ms	(*.f64 F F)

Results

Error	Segments	Branch
6.2b	3	`F`
0.8b	3	`l`
0.8b	3	`(*.f64 (PI.f64) l)`
6.2b	2	`(*.f64 F F)`

Compiler

Compiled 281 to 131 computations (53.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0044825903422969215	0.15691287983205374
0.0ms	-2.867499134893123e+25	-641270983816967.0

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes92.0ms (0.9%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
9.6b	3	`F`
4.6b	3	`l`
7.7b	5	`(*.f64 F F)`

Compiler

Compiled 161 to 82 computations (49.1% saved)

bsearch107.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.0014268528216650925	0.049946920920111854
87.0ms	-9.127533232599483e+24	-204122893871746.25

Results

65.0ms	101×	body	8192	exit
18.0ms	130×	body	256	valid
11.0ms	8×	body	2048	valid
6.0ms	2×	body	1024	valid
4.0ms	30×	body	256	infinite
1.0ms	4×	body	512	valid

Compiler

Compiled 183 to 131 computations (28.4% saved)

regimes91.0ms (0.9%)

Counts

17 → 5

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	(*.f64 F F)
31.0ms	l
24.0ms	F

Results

Error	Segments	Branch
9.6b	3	`F`
9.2b	3	`l`
7.7b	5	`(*.f64 F F)`

Compiler

Compiled 152 to 79 computations (48% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.41274888473366e-67	1.5535016307817863e-60
0.0ms	2.021965003767952e-131	2.0471805428044014e-126
0.0ms	4.515679229465833e-258	1.696478110372263e-247
0.0ms	8.725793636411934e-304	1.849000856988173e-302

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes104.0ms (1%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

3 calls:

61.0ms	F
22.0ms	(*.f64 F F)
20.0ms	l

Results

Error	Segments	Branch
9.6b	3	`F`
9.2b	3	`l`
7.7b	5	`(*.f64 F F)`

Compiler

Compiled 64 to 36 computations (43.8% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.41274888473366e-67	1.5535016307817863e-60
0.0ms	2.021965003767952e-131	2.0471805428044014e-126
0.0ms	4.515679229465833e-258	1.696478110372263e-247
0.0ms	8.725793636411934e-304	1.849000856988173e-302

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes75.0ms (0.7%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	l
17.0ms	(*.f64 F F)
12.0ms	F

Results

Error	Segments	Branch
9.6b	3	`F`
11.5b	1	`l`
7.8b	5	`(*.f64 F F)`

Compiler

Compiled 39 to 24 computations (38.5% saved)

bsearch233.0ms (2.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
35.0ms	2.41274888473366e-67	1.5535016307817863e-60
80.0ms	2.021965003767952e-131	2.0471805428044014e-126
50.0ms	4.515679229465833e-258	1.696478110372263e-247
69.0ms	8.725793636411934e-304	1.849000856988173e-302

Results

110.0ms	166×	body	1024	valid
61.0ms	60×	body	2048	valid
32.0ms	256×	body	256	valid
24.0ms	78×	body	512	valid

Compiler

Compiled 598 to 486 computations (18.7% saved)

regimes10.0ms (0.1%)

Accuracy

Total -51.0b remaining (-443.6%)

Threshold costs -51.0b (-443.6%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	F
4.0ms	l

Results

Error	Segments	Branch
11.5b	1	`F`
11.5b	1	`l`

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify27.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative`
32×	`+-commutative`
26×	`sub-neg`
22×	`neg-sub0`
20×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	694
1	119	694
2	148	694
3	170	694
4	183	694
5	188	694
6	189	694

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) -20000000000000001811939328) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 10000) (-.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) -20000000000000001811939328) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 5764607523034235/1152921504606846976) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (<=.f64 l -94371503737560144) (.f64 l (PI.f64)) (if (<=.f64 l 3530822107858469/72057594037927936) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (PI.f64))))
(if (<=.f64 (.f64 F F) 6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (-.f64 (.f64 l (PI.f64)) 1) (if (<=.f64 (.f64 F F) 1352433999707303/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (if (<=.f64 (.f64 F F) 1997919072202235/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (-.f64 (.f64 l (PI.f64)) 1) (if (<=.f64 (.f64 F F) 6070840288205403/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 -1 (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))))
(if (<=.f64 (.f64 F F) 6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (-.f64 (.f64 l (PI.f64)) 1) (if (<=.f64 (.f64 F F) 1352433999707303/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (if (<=.f64 (.f64 F F) 1997919072202235/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (-.f64 (.f64 l (PI.f64)) 1) (if (<=.f64 (.f64 F F) 6070840288205403/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))) (.f64 l (PI.f64))))))
(if (<=.f64 (.f64 F F) 5404723255734155/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (-.f64 (.f64 l (PI.f64)) 1) (if (<=.f64 (.f64 F F) 2113178124542661/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (if (<=.f64 (.f64 F F) 7609262091395231/97554642197374757230674913431036447054643691958280348464348654988292866838117675628759565720734124098744591597543956965482749239977758915821568) (-.f64 (.f64 l (PI.f64)) 1) (if (<=.f64 (.f64 F F) 2807763633294999/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (*.f64 l (PI.f64))))))
(*.f64 l (PI.f64))
(-.f64 1 1)

Outputs
(if (<=.f64 (.f64 (PI.f64) l) -20000000000000001811939328) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 10000) (-.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) -20000000000000001811939328) (not (<=.f64 (.f64 (PI.f64) l) 10000))) (.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) -20000000000000001811939328) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 5764607523034235/1152921504606846976) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (or (<=.f64 (.f64 (PI.f64) l) -20000000000000001811939328) (not (<=.f64 (.f64 (PI.f64) l) 5764607523034235/1152921504606846976))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(if (<=.f64 l -94371503737560144) (.f64 l (PI.f64)) (if (<=.f64 l 3530822107858469/72057594037927936) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -94371503737560144) (not (<=.f64 l 3530822107858469/72057594037927936))) (.f64 (PI.f64) l) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(if (<=.f64 (.f64 F F) 6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (-.f64 (.f64 l (PI.f64)) 1) (if (<=.f64 (.f64 F F) 1352433999707303/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (if (<=.f64 (.f64 F F) 1997919072202235/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (-.f64 (.f64 l (PI.f64)) 1) (if (<=.f64 (.f64 F F) 6070840288205403/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 -1 (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))))
(if (<=.f64 (.f64 F F) 6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (+.f64 (.f64 (PI.f64) l) -1) (if (<=.f64 (.f64 F F) 1352433999707303/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (/.f64 (neg.f64 l) (/.f64 (.f64 F F) (PI.f64))) (if (<=.f64 (.f64 F F) 1997919072202235/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (+.f64 (.f64 (PI.f64) l) -1) (if (<=.f64 (.f64 F F) 6070840288205403/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (neg.f64 (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 (PI.f64) l)))))
(if (<=.f64 (.f64 F F) 6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (+.f64 (.f64 (PI.f64) l) -1) (if (<=.f64 (.f64 F F) 1352433999707303/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (/.f64 (neg.f64 l) (/.f64 (.f64 F F) (PI.f64))) (if (<=.f64 (.f64 F F) 1997919072202235/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (+.f64 (.f64 (PI.f64) l) -1) (if (<=.f64 (.f64 F F) 6070840288205403/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F))) (*.f64 (PI.f64) l)))))
(if (<=.f64 (.f64 F F) 6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (-.f64 (.f64 l (PI.f64)) 1) (if (<=.f64 (.f64 F F) 1352433999707303/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (if (<=.f64 (.f64 F F) 1997919072202235/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (-.f64 (.f64 l (PI.f64)) 1) (if (<=.f64 (.f64 F F) 6070840288205403/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))) (.f64 l (PI.f64))))))
(if (<=.f64 (.f64 F F) 6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (+.f64 (.f64 (PI.f64) l) -1) (if (<=.f64 (.f64 F F) 1352433999707303/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (/.f64 (neg.f64 l) (/.f64 (.f64 F F) (PI.f64))) (if (<=.f64 (.f64 F F) 1997919072202235/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (+.f64 (.f64 (PI.f64) l) -1) (if (<=.f64 (.f64 F F) 6070840288205403/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))) (.f64 (PI.f64) l)))))
(if (<=.f64 (.f64 F F) 5404723255734155/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (-.f64 (.f64 l (PI.f64)) 1) (if (<=.f64 (.f64 F F) 2113178124542661/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (if (<=.f64 (.f64 F F) 7609262091395231/97554642197374757230674913431036447054643691958280348464348654988292866838117675628759565720734124098744591597543956965482749239977758915821568) (-.f64 (.f64 l (PI.f64)) 1) (if (<=.f64 (.f64 F F) 2807763633294999/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (neg.f64 (/.f64 l (/.f64 (.f64 F F) (PI.f64)))) (*.f64 l (PI.f64))))))
(if (<=.f64 (.f64 F F) 5404723255734155/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (+.f64 (.f64 (PI.f64) l) -1) (if (<=.f64 (.f64 F F) 2113178124542661/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (/.f64 (neg.f64 l) (/.f64 (.f64 F F) (PI.f64))) (if (<=.f64 (.f64 F F) 7609262091395231/97554642197374757230674913431036447054643691958280348464348654988292866838117675628759565720734124098744591597543956965482749239977758915821568) (+.f64 (.f64 (PI.f64) l) -1) (if (<=.f64 (.f64 F F) 2807763633294999/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (/.f64 (neg.f64 l) (/.f64 (.f64 F F) (PI.f64))) (*.f64 (PI.f64) l)))))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(-.f64 1 1)
0

Compiler

Compiled 255 to 131 computations (48.6% saved)

soundness67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 42 to 16 computations (61.9% saved)

end74.0ms (0.7%)

Compiler: Compiled 241 to 94 computations (61% saved)