Details

analyze299.0ms (2.3%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.8s (22%)

Results

1.0s	990×	body	2048	valid
716.0ms	1861×	body	1024	valid
592.0ms	4629×	body	256	valid
221.0ms	717×	body	512	valid
194.0ms	59×	body	4096	valid
40.0ms	317×	body	256	infinite
2.0ms	4×	body	2048	infinite
1.0ms	2×	body	8192	exit

Bogosity

preprocess209.0ms (1.6%)

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)

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

14.7b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	14.9b	(-.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 1 (*.f64 F F))
✓	0.3b	(*.f64 (PI.f64) l)
✓	3.2b	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	32.0b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series9.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

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

rewrite96.0ms (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 (PI.f64) l)
(/.f64 1 (*.f64 F F))

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

simplify149.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1472×	`times-frac`
1004×	`associate-r`
970×	`associate-l`
812×	`associate-/r*`
646×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	598	10209
1	1519	9639
2	7930	9639

Stop Event

1×	node limit

Counts

293 → 327

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

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	0.3b	(*.f64 (PI.f64) l)
✓	3.1b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	32.0b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

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

Outputs
((#(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)) (pow.f64 F -2))))) (#(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 (tan.f64 (.f64 (PI.f64) l))) (.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F 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))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 F -2) (tan.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 -1 (.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (.f64 F F)) (neg.f64 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) 1) (/.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) F) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 (pow.f64 F 4))) (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 (.f64 F 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 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (.f64 F F)) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (.f64 F F) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2))) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.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 (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) F) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (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)) (.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))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) l) (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) (fma.f64 (neg.f64 (pow.f64 F -2)) (tan.f64 (.f64 (PI.f64) l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) l) (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) l) (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) (fma.f64 (neg.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 (PI.f64) l)) (.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) l) 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Outputs

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simplify208.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1428×	`associate-+r+`
1334×	`associate-+l+`
950×	`+-commutative`
560×	`fma-def`
536×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	435	16210
1	1310	15878
2	6546	15878

Stop Event

1×	node limit

Counts

188 → 236

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

eval324.0ms (2.5%)

Compiler: Compiled 20002 to 7212 computations (63.9% saved)

prune201.0ms (1.6%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	662	22	684
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	663	23	686

Error

0.6b

Counts

686 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	15.6b	(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))))
	38.2b	(pow.f64 (sqrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))) 2)
	15.6b	(pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))) 3)
	50.9b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (sqrt.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))) (sqrt.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))
	52.1b	(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 3) (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) F))) (/.f64 1 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))) (+.f64 (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)) (pow.f64 (.f64 (PI.f64) l) 2)))
	52.2b	(/.f64 (.f64 (sqrt.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 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))) (sqrt.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))
	42.5b	(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) 2)) (cbrt.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))
	14.8b	(/.f64 1 (/.f64 1 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
▶	11.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
▶	14.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	11.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
✓	14.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	14.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	19.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
	35.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2)) (.f64 (/.f64 F (sqrt.f64 (tan.f64 (.f64 l (PI.f64))))) F)) (sqrt.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))))))
	19.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
	19.0b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
▶	41.3b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	41.3b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	42.3b	(.f64 (/.f64 1 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))
	19.4b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
▶	11.8b	(*.f64 l (PI.f64))
	29.6b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))

Compiler

Compiled 1040 to 590 computations (43.3% saved)

localize14.0ms (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)
	0.3b	(*.f64 (PI.f64) l)
✓	0.3b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	32.0b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 38 to 8 computations (78.9% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1430×	`associate-/r*`
996×	`*-commutative`
936×	`associate-/l/`
762×	`associate-/r/`
690×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	4706
1	678	4510
2	3010	4466

Stop Event

1×	node limit

Counts

116 → 126

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite51.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))
✓	0.3b	(/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))
✓	3.1b	(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (.f64 F F))
	32.0b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 58 to 24 computations (58.6% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1794×	`associate-*l/`
1400×	`associate-/r*`
1056×	`associate-/l*`
486×	`associate-/l/`
390×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
1	294	57
2	3485	57

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))) (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))) F) (/.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))) (*.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))) (/.f64 (/.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))) F) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 F F))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))) 2) (pow.f64 F 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))) 2) (pow.f64 F 4))) (cbrt.f64 (/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))) 2) (*.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))) 2) (/.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))) F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F -2) (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F -2) (neg.f64 (neg.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))) (/.f64 -1 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))) (pow.f64 F -2)) (sqrt.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) (/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 F F)) (neg.f64 (/.f64 1 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simplify170.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

814×	`distribute-lft-neg-in`
772×	`distribute-rgt-neg-in`
744×	`associate-r`
638×	`associate-+r+`
632×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	360	6123
1	992	5811
2	4759	5763

Stop Event

1×	node limit

Counts

157 → 180

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) l)
	3.1b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	32.0b	(tan.f64 (*.f64 (PI.f64) l))
✓	38.7b	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))

Compiler

Compiled 50 to 17 computations (66% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

44 → 37

Calls

Call 1

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

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

localize79.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.5b	(-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))
✓	6.0b	(/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))
	32.0b	(tan.f64 (*.f64 (PI.f64) l))
✓	34.8b	(.f64 (/.f64 1 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))

Compiler

Compiled 120 to 43 computations (64.2% saved)

series21.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	l	@	0	(.f64 (/.f64 1 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))
4.0ms	F	@	inf	(.f64 (/.f64 1 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))
1.0ms	F	@	0	(.f64 (/.f64 1 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))
1.0ms	l	@	inf	(.f64 (/.f64 1 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))
1.0ms	l	@	-inf	(.f64 (/.f64 1 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))

rewrite158.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`associate-/l/`
666×	`associate-/r/`
488×	`add-sqr-sqrt`
478×	`*-un-lft-identity`
472×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	173
1	492	173
2	6467	173

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

Inputs

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

(/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))

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

Outputs

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simplify239.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1062×	`associate-r`
990×	`associate-/l*`
904×	`associate-l`
718×	`*-commutative`
686×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	675	31244
1	2103	30414

Stop Event

1×	node limit

Counts

266 → 348

Calls

Call 1

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

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

eval797.0ms (6.3%)

Compiler: Compiled 47105 to 22247 computations (52.8% saved)

prune390.0ms (3.1%)

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	1172	16	1188
Fresh	12	5	17
Picked	1	0	1
Done	1	4	5
Total	1186	25	1211

Error

0.5b

Counts

1211 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	37.1b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
	12.7b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	24.2b	(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
	23.5b	(/.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (+.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (PI.f64)))
▶	14.8b	(/.f64 1 (/.f64 1 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
▶	28.0b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	15.4b	(-.f64 (.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	38.2b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	11.6b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (.f64 (/.f64 F (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))) F) -1))
	16.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
✓	11.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
▶	11.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F))
✓	14.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	11.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
✓	14.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	16.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	19.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
	17.2b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))))
▶	38.2b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	43.6b	(.f64 (/.f64 1 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (.f64 (pow.f64 (PI.f64) 2) (*.f64 l l)))
	19.4b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	11.8b	(*.f64 l (PI.f64))
	29.6b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
▶	39.3b	(exp.f64 (log.f64 (*.f64 l (PI.f64))))
	44.3b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 687 to 468 computations (31.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) l)
✓	0.3b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))) F)
✓	0.7b	(log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))
	32.0b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 55 to 10 computations (81.8% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	l	@	0	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))) F)
0.0ms	l	@	0	(log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))
0.0ms	l	@	-inf	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))) F)
0.0ms	F	@	0	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))) F)
0.0ms	l	@	inf	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))) F)

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1020×	`*-commutative`
740×	`unswap-sqr`
672×	`associate-/r*`
668×	`associate-*r/`
626×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	238	32
2	2763	32

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

Outputs

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

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1642×	`distribute-rgt-in`
1638×	`distribute-lft-in`
1618×	`associate-/r/`
534×	`associate-r`
522×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	317	5024
1	776	4736
2	3666	4736

Stop Event

1×	node limit

Counts

146 → 165

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

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(*.f64 l (PI.f64))
✓	2.6b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)

Compiler

Compiled 20 to 11 computations (45% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1060×	`associate-/l*`
1054×	`associate-/r*`
1028×	`fma-def`
834×	`distribute-lft-in`
766×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1193
1	290	1063
2	1119	1055
3	5516	1055

Stop Event

1×	node limit

Counts

61 → 58

Calls

Call 1

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(*.f64 l (PI.f64))
✓	3.0b	(exp.f64 (log.f64 (*.f64 l (PI.f64))))

Compiler

Compiled 16 to 6 computations (62.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`add-sqr-sqrt`
1426×	`*-un-lft-identity`
1312×	`add-cube-cbrt`
1292×	`add-cbrt-cube`
1276×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	165	9
2	1785	9

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1486×	`distribute-rgt-in`
1486×	`distribute-lft-in`
1396×	`associate-r`
1172×	`associate-l`
1152×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	455
1	165	455
2	566	455
3	3366	455

Stop Event

1×	node limit

Counts

41 → 30

Calls

Call 1

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (/.f64 1 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
✓	0.3b	(/.f64 1 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	3.1b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	32.0b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 66 to 15 computations (77.3% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	l	@	0	(/.f64 1 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
2.0ms	l	@	inf	(/.f64 1 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
1.0ms	F	@	0	(/.f64 1 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
1.0ms	F	@	inf	(/.f64 1 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
1.0ms	l	@	-inf	(/.f64 1 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))

rewrite163.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`associate-/l*`
630×	`distribute-rgt-in`
592×	`associate-/r/`
580×	`distribute-lft-in`
448×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	324	84
2	4146	84

Stop Event

1×	node limit

Counts

2 → 191

Calls

Call 1

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

Outputs

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(*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 1 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))) (*.f64 (*.f64 (PI.f64) l) (/.f64 1 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 1 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 3)))) (*.f64 (*.f64 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simplify310.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1004×	`associate-r`
814×	`associate-l`
676×	`*-commutative`
582×	`+-commutative`
486×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	642	26319
1	1933	25673

Stop Event

1×	node limit

Counts

239 → 349

Calls

Call 1

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓	1.0b	(pow.f64 (PI.f64) 3)
	32.0b	(tan.f64 (*.f64 (PI.f64) l))
✓	38.7b	(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))

Compiler

Compiled 65 to 30 computations (53.8% saved)

series0.0ms (0%)

Counts

2 → 12

Calls

3 calls:

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

rewrite94.0ms (0.7%)

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

((#(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)))))))

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

942×	`associate-/l*`
696×	`distribute-lft-in`
672×	`*-commutative`
628×	`distribute-rgt-in`
576×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	916
1	256	916
2	903	916
3	2521	916
4	6798	916

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

eval575.0ms (4.5%)

Compiler: Compiled 33769 to 13603 computations (59.7% saved)

prune340.0ms (2.7%)

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	1043	12	1055
Fresh	2	14	16
Picked	1	0	1
Done	1	7	8
Total	1047	33	1080

Error

0.5b

Counts

1080 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	37.1b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
	12.7b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	24.2b	(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
	23.5b	(/.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (+.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (PI.f64)))
	38.2b	(/.f64 1 (pow.f64 (pow.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) -1/2) 2))
▶	15.7b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))) 3))
	19.6b	(/.f64 1 (/.f64 (/.f64 1 l) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
▶	11.9b	(/.f64 1 (/.f64 1 (*.f64 l (PI.f64))))
	14.7b	(-.f64 (/.f64 (PI.f64) (/.f64 1 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
✓	28.0b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	11.6b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (.f64 (/.f64 F (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))) F) -1))
	28.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) 3) 1/3) F))
	16.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
✓	11.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
✓	11.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F))
✓	14.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
▶	11.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
✓	14.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	16.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F))) F))
	16.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	19.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
	17.2b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))))
	39.5b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
	43.6b	(.f64 (/.f64 1 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (.f64 (pow.f64 (PI.f64) 2) (*.f64 l l)))
	49.3b	(.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 l (PI.f64))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (.f64 l (PI.f64))) 2) (+.f64 (.f64 l (PI.f64)) 2))))
	43.5b	(.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 l (PI.f64))) 2) -1) (/.f64 1 (+.f64 (*.f64 l (PI.f64)) 2)))
▶	12.7b	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
	37.2b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
	19.4b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	11.8b	(*.f64 l (PI.f64))
	29.6b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
✓	39.3b	(exp.f64 (log.f64 (*.f64 l (PI.f64))))
▶	44.3b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 911 to 638 computations (30% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
	0.3b	(*.f64 (PI.f64) l)
✓	0.3b	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
	32.0b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 46 to 16 computations (65.2% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

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

Outputs

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

simplify109.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1454×	`distribute-rgt-in`
1440×	`distribute-lft-in`
592×	`*-commutative`
548×	`associate-r`
470×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	415	7480
1	1189	6834
2	4990	6832

Stop Event

1×	node limit

Counts

174 → 195

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1250×	`unswap-sqr`
1122×	`associate-+r+`
1016×	`associate-*r/`
998×	`associate-+l+`
804×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1158
1	302	990
2	1330	852
3	6755	852

Stop Event

1×	node limit

Counts

70 → 64

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 l (PI.f64)) 3)
	0.3b	(*.f64 l (PI.f64))
✓	38.7b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

83 → 65

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2))
✓	0.4b	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
✓	0.5b	(pow.f64 (cbrt.f64 l) 2)
✓	0.6b	(cbrt.f64 l)

Compiler

Compiled 26 to 14 computations (46.2% saved)

series7.0ms (0.1%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	l	@	-inf	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
2.0ms	l	@	0	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
0.0ms	l	@	-inf	(pow.f64 (cbrt.f64 l) 2)
0.0ms	l	@	-inf	(*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2))
0.0ms	l	@	0	(*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2))

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1884×	`add-sqr-sqrt`
1864×	`*-un-lft-identity`
1726×	`add-cube-cbrt`
1698×	`add-cbrt-cube`
206×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	218	44
2	2486	44

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

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

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

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

810×	`associate-/l*`
776×	`associate-/r*`
754×	`distribute-lft-in`
738×	`distribute-rgt-in`
664×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	921
1	279	915
2	1281	911
3	5172	911

Stop Event

1×	node limit

Counts

79 → 78

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

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

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))) 3)
	3.1b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	7.4b	(cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	32.0b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 101 to 23 computations (77.2% saved)

series54.0ms (0.4%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	l	@	inf	(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))) 3)
10.0ms	l	@	-inf	(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))) 3)
9.0ms	l	@	0	(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))) 3)
7.0ms	F	@	inf	(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))) 3)
5.0ms	F	@	0	(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))) 3)

rewrite122.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`associate-/r*`
1228×	`associate-/l*`
388×	`associate-/r/`
364×	`add-sqr-sqrt`
350×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	98
1	364	88
2	4683	88

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

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

Outputs

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l)) 2) (pow.f64 F 4))))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 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simplify177.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1026×	`associate-/r*`
1004×	`associate-r`
992×	`times-frac`
850×	`associate-l`
828×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	583	23301
1	1731	21383

Stop Event

1×	node limit

Counts

177 → 270

Calls

Call 1

Inputs
(pow.f64 (*.f64 l (PI.f64)) 1/3)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (.f64 l (PI.f64))))))) (pow.f64 (*.f64 l (PI.f64)) 1/3))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (.f64 l (PI.f64))))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5))) 1/3) (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 2) (.f64 (pow.f64 F 4) (pow.f64 (cos.f64 (.f64 l (PI.f64))) 2))))) (pow.f64 (*.f64 l (PI.f64)) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (.f64 l (PI.f64))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1/3) (/.f64 (+.f64 (.f64 -1/27 (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 3) (.f64 (pow.f64 l 2) (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 3) (pow.f64 (PI.f64) 2))))) (.f64 2/9 (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 3) (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 3) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))) (pow.f64 F 6)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5))) 1/3) (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 2) (.f64 (pow.f64 F 4) (pow.f64 (cos.f64 (.f64 l (PI.f64))) 2))))) (pow.f64 (.f64 l (PI.f64)) 1/3))))
(pow.f64 (*.f64 l (PI.f64)) 1/3)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (.f64 l (PI.f64))))))) (pow.f64 (*.f64 l (PI.f64)) 1/3))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (.f64 l (PI.f64))))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5))) 1/3) (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 2) (.f64 (pow.f64 F 4) (pow.f64 (cos.f64 (.f64 l (PI.f64))) 2))))) (pow.f64 (*.f64 l (PI.f64)) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1/3) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (.f64 l (PI.f64))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1/3) (/.f64 (+.f64 (.f64 -1/27 (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 3) (.f64 (pow.f64 l 2) (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 3) (pow.f64 (PI.f64) 2))))) (.f64 2/9 (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 3) (.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 3) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))) (pow.f64 F 6)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5))) 1/3) (/.f64 (pow.f64 (sin.f64 (.f64 l (PI.f64))) 2) (.f64 (pow.f64 F 4) (pow.f64 (cos.f64 (.f64 l (PI.f64))) 2))))) (pow.f64 (.f64 l (PI.f64)) 1/3))))
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 l (PI.f64))))
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(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) -2) (pow.f64 (sqrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) 1/3)) (pow.f64 (sqrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))) 1/3))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) -2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) 2) 1/3)) (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
(/.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) -2) -1) 1) (neg.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
(/.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) -2) -1) (pow.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) 1/6)) (neg.f64 (pow.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) 1/6)))
(/.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) -2) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))) 2)) (neg.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))))
(/.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) -2) -1) -1) (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(/.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) -2) -1) (sqrt.f64 (neg.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))))) (sqrt.f64 (neg.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))))
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(/.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) -2) -1) (neg.f64 (pow.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) 1/6))) (pow.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) 1/6))
(/.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) -2) -1) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))))
(/.f64 (/.f64 (.f64 -1 (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) -2)) 1) (neg.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
(/.f64 (/.f64 (.f64 -1 (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) -2)) (pow.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) 1/6)) (neg.f64 (pow.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) 1/6)))
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(/.f64 (/.f64 (.f64 -1 (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) -2)) (sqrt.f64 (neg.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))))) (sqrt.f64 (neg.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))))
(/.f64 (/.f64 (.f64 -1 (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) -2)) (.f64 (cbrt.f64 (neg.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))) (cbrt.f64 (neg.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))))) (cbrt.f64 (neg.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))))
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(/.f64 (/.f64 (.f64 -1 (pow.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) -2)) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))))
(/.f64 (/.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (fma.f64 (PI.f64) l (/.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))))
(/.f64 (/.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (sqrt.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 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))
(/.f64 (/.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))) (cbrt.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 (/.f64 1 (pow.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) 2)))
(log.f64 (exp.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))) 3)))
(exp.f64 (neg.f64 (log.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
(exp.f64 (.f64 (neg.f64 (log.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))) 3)))

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

eval494.0ms (3.9%)

Compiler: Compiled 29444 to 12392 computations (57.9% saved)

prune243.0ms (1.9%)

Pruning

35 alts after pruning (28 fresh and 7 done)

	Pruned	Kept	Total
New	953	13	966
Fresh	6	15	21
Picked	1	0	1
Done	4	7	11
Total	964	35	999

Error

0.5b

Counts

999 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	37.1b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
	12.9b	(pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))) 3)
	12.7b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	24.2b	(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
	36.7b	(/.f64 (cbrt.f64 (.f64 l (PI.f64))) (cbrt.f64 (pow.f64 (.f64 l (PI.f64)) -2)))
	37.2b	(/.f64 1 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) -1/2) 2))
	12.8b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 l (PI.f64)))) 3))
	12.0b	(/.f64 1 (/.f64 (/.f64 1 l) (PI.f64)))
	46.2b	(/.f64 1 (+.f64 1 (-.f64 (/.f64 (/.f64 1 l) (PI.f64)) 1)))
	43.4b	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1 (*.f64 l (PI.f64))) 3)))
	14.7b	(-.f64 (/.f64 (PI.f64) (/.f64 1 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
✓	28.0b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	11.6b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (.f64 (/.f64 F (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))) F) -1))
	28.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) 3) 1/3) F))
	16.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
✓	11.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
✓	11.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F))
✓	14.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	16.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
✓	14.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	16.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F))) F))
	16.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	19.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
	17.2b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))))
	13.0b	(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2))) 3) (cbrt.f64 l))
	11.9b	(*.f64 (/.f64 1 (/.f64 1 l)) (PI.f64))
	43.5b	(.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 l (PI.f64))) 2) -1) (/.f64 1 (+.f64 (*.f64 l (PI.f64)) 2)))
	13.4b	(.f64 (.f64 (PI.f64) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 3) 2)) (cbrt.f64 l))
	24.8b	(.f64 (.f64 (PI.f64) (sqrt.f64 (*.f64 l (cbrt.f64 l)))) (cbrt.f64 l))
	37.2b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
	37.1b	(.f64 (.f64 (PI.f64) (cbrt.f64 (*.f64 l l))) (cbrt.f64 l))
	19.4b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	11.8b	(*.f64 l (PI.f64))
	29.6b	(expm1.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
✓	44.3b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 466 to 338 computations (27.5% saved)

regimes672.0ms (5.3%)

Counts

65 → 3

Calls

Call 1

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

Outputs
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F))
(*.f64 l (PI.f64))

Calls

6 calls:

138.0ms	l
126.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
123.0ms	F
122.0ms	(*.f64 (PI.f64) l)
107.0ms	(*.f64 F F)

Results

Error	Segments	Branch
5.3b	5	`F`
0.8b	3	`l`
5.4b	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0.8b	3	`(*.f64 (PI.f64) l)`
7.3b	2	`(/.f64 1 (*.f64 F F))`
7.3b	2	`(*.f64 F F)`

Compiler

Compiled 1060 to 416 computations (60.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5541632510474.458	9.28527818220915e+23
0.0ms	-345124494411905.7	-1843386602703.0574

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes446.0ms (3.5%)

Counts

38 → 3

Calls

Call 1

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

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

Calls

6 calls:

151.0ms	F
79.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
76.0ms	l
67.0ms	(*.f64 F F)
45.0ms	(*.f64 (PI.f64) l)

Results

Error	Segments	Branch
5.3b	5	`F`
0.8b	3	`l`
5.4b	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0.8b	3	`(*.f64 (PI.f64) l)`
7.3b	2	`(/.f64 1 (*.f64 F F))`
7.3b	2	`(*.f64 F F)`

Compiler

Compiled 449 to 196 computations (56.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5541632510474.458	9.28527818220915e+23
0.0ms	-345124494411905.7	-1843386602703.0574

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes140.0ms (1.1%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

4 calls:

47.0ms	(*.f64 (PI.f64) l)
35.0ms	F
30.0ms	l
22.0ms	(*.f64 F F)

Results

Error	Segments	Branch
6.4b	3	`F`
1.1b	3	`l`
1.1b	3	`(*.f64 (PI.f64) l)`
7.3b	2	`(*.f64 F F)`

Compiler

Compiled 219 to 111 computations (49.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.4278947439432816e-15	1034082350.2855636
0.0ms	-345124494411905.7	-1843386602703.0574

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes44.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	(*.f64 F F)
18.0ms	l
5.0ms	F

Results

Error	Segments	Branch
11.8b	1	`F`
1.2b	3	`l`
9.2b	4	`(*.f64 F F)`

Compiler

Compiled 97 to 53 computations (45.4% saved)

bsearch105.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	1.409442671978391e-15	329158635.2240645
56.0ms	-109856538535492.0	-586768179699.1348

Results

92.0ms	288×	body	256	valid
9.0ms	57×	body	256	infinite

Compiler

Compiled 381 to 266 computations (30.2% saved)

regimes46.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	(*.f64 F F)
15.0ms	l
13.0ms	F

Results

Error	Segments	Branch
11.8b	1	`F`
4.2b	3	`l`
9.2b	4	`(*.f64 F F)`

Compiler

Compiled 75 to 46 computations (38.7% saved)

bsearch54.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	1.409442671978391e-15	329158635.2240645
22.0ms	-109856538535492.0	-586768179699.1348

Results

41.0ms	288×	body	256	valid
9.0ms	71×	body	256	infinite

Compiler

Compiled 381 to 266 computations (30.2% saved)

regimes65.0ms (0.5%)

Counts

7 → 3

Calls

Call 1

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

43.0ms	(*.f64 F F)
14.0ms	l
5.0ms	F

Results

Error	Segments	Branch
11.8b	1	`F`
4.4b	3	`l`
9.2b	4	`(*.f64 F F)`

Compiler

Compiled 64 to 42 computations (34.4% saved)

bsearch53.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	1.409442671978391e-15	329158635.2240645
21.0ms	-109856538535492.0	-586768179699.1348

Results

41.0ms	288×	body	256	valid
8.0ms	60×	body	256	infinite

Compiler

Compiled 345 to 248 computations (28.1% saved)

regimes12.0ms (0.1%)

Accuracy

Total -50.6b remaining (-427.5%)

Threshold costs -50.6b (-427.5%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	l
4.0ms	F

Results

Error	Segments	Branch
11.8b	1	`F`
11.8b	1	`l`

Compiler

Compiled 50 to 35 computations (30% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

50×	`+-commutative`
46×	`*-commutative`
40×	`sub-neg`
34×	`neg-mul-1`
34×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	481
1	101	481
2	145	481
3	180	481
4	210	481
5	222	481
6	225	481

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) -200000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 10000000000000) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F)) (.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) -200000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 10000000000000) (-.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) -200000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 6338253001141147/1267650600228229401496703205376) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F)) (.f64 l (PI.f64))))
(if (<=.f64 l -600000000000) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (<=.f64 l -600000000000) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (.f64 F F)) (PI.f64))) (*.f64 l (PI.f64))))
(if (<=.f64 l -600000000000) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (PI.f64))))
(*.f64 l (PI.f64))

Outputs
(if (<=.f64 (.f64 (PI.f64) l) -200000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 10000000000000) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F)) (.f64 l (PI.f64))))
(if (or (<=.f64 (.f64 (PI.f64) l) -200000000000000) (not (<=.f64 (.f64 (PI.f64) l) 10000000000000))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))) F) F)))
(if (<=.f64 (.f64 (PI.f64) l) -200000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 10000000000000) (-.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) -200000000000000) (not (<=.f64 (.f64 (PI.f64) l) 10000000000000))) (.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) -200000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 6338253001141147/1267650600228229401496703205376) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F)) (.f64 l (PI.f64))))
(if (or (<=.f64 (.f64 (PI.f64) l) -200000000000000) (not (<=.f64 (.f64 (PI.f64) l) 6338253001141147/1267650600228229401496703205376))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
(if (<=.f64 l -600000000000) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -600000000000) (not (<=.f64 l 1/2))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(if (<=.f64 l -600000000000) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (.f64 F F)) (PI.f64))) (*.f64 l (PI.f64))))
(if (or (<=.f64 l -600000000000) (not (<=.f64 l 1/2))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (.f64 F F)))))
(if (<=.f64 l -600000000000) (.f64 l (PI.f64)) (if (<=.f64 l 1/2) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -600000000000) (not (<=.f64 l 1/2))) (.f64 (PI.f64) l) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

Compiler

Compiled 169 to 95 computations (43.8% saved)

soundness327.0ms (2.6%)

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)

end120.0ms (0.9%)

Compiler: Compiled 157 to 69 computations (56.1% saved)