Details

analyze321.0ms (2.4%)

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)

sample3.0s (22.3%)

Results

1.1s	1094×	body	2048	valid
715.0ms	1877×	body	1024	valid
665.0ms	4435×	body	256	valid
223.0ms	67×	body	4096	valid
194.0ms	783×	body	512	valid
34.0ms	268×	body	256	infinite
6.0ms	10×	body	2048	infinite
2.0ms	4×	body	8192	exit

Bogosity

preprocess224.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

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

Accurracy

74.1%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	73.6%	(-.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 Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(*.f64 (PI.f64) l)
✓	99.1%	(/.f64 1 (*.f64 F F))
✓	93.9%	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	51.7%	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series10.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

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

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 233

Calls

Call 1

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

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

simplify141.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

293 → 325

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	99.5%	(*.f64 (PI.f64) l)
✓	94.3%	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	51.7%	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite109.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

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

Outputs
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Outputs

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simplify177.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

188 → 234

Calls

Call 1

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

Outputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
(fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)) F) (/.f64 -1/2 F))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
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(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 4))))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))))
(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)) F) (/.f64 -1/2 F))) (pow.f64 l 5) (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) 1/840) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 1/24 (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (pow.f64 (PI.f64) 4))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
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(fma.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (.f64 l (PI.f64)))
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(fma.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (.f64 l (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (cbrt.f64 (.f64 (PI.f64) l)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
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eval303.0ms (2.3%)

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

prune192.0ms (1.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	663	18	681
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	665	18	683

Accurracy

99.8%

Counts

683 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.7%	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (.f64 l (PI.f64)))) 2) (/.f64 (cbrt.f64 (fma.f64 l (PI.f64) (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))) (cbrt.f64 (-.f64 (pow.f64 (.f64 l (PI.f64)) 2) (/.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2) (pow.f64 F 4))))))
	33.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))) (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	73.5%	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
	41.6%	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	73.1%	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	79.8%	(-.f64 (.f64 (PI.f64) l) (pow.f64 (.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F) -1))
▶	79.5%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
	79.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	79.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	68.4%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
▶	79.8%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	74.1%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	34.9%	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	34.8%	(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	23.9%	(.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 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))) (+.f64 (pow.f64 (.f64 (PI.f64) l) 2) (-.f64 (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)) (.f64 (.f64 (.f64 (PI.f64) l) (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2)))))
	28.6%	(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))) (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3)))
▶	67.9%	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
▶	80.2%	(*.f64 l (PI.f64))

Compiler

Compiled 858 to 520 computations (39.4% saved)

localize6.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(*.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))

rewrite78.0ms (0.6%)

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))))))))

simplify67.0ms (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))

localize9.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
✓	99.0%	(/.f64 (PI.f64) (*.f64 F F))
✓	93.8%	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))

Compiler

Compiled 29 to 7 computations (75.9% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 195

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 1 (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) F)) (/.f64 (sqrt.f64 (PI.f64)) F) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 2) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 1 (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) F)) (/.f64 (sqrt.f64 (PI.f64)) F) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 2) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (PI.f64)) (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))) (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 l (PI.f64))) (*.f64 1 (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 l (PI.f64)) 1) (*.f64 (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (/.f64 1 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) (/.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3))) (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))) l) (-.f64 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 3)) l) (+.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 F 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simplify214.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

243 → 274

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
✓	99.7%	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	99.5%	(*.f64 (PI.f64) l)
	51.7%	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 46 to 16 computations (65.2% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	265	44
2	3317	44

Stop Event

1×	node limit

Counts

2 → 178

Calls

Call 1

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

Outputs

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(#(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 neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) 1))))) (#(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 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F (neg.f64 F)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 F (neg.f64 F)) (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 F (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 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simplify158.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

814×	`distribute-lft-in`
808×	`distribute-rgt-in`
764×	`associate-/l*`
736×	`associate-/r*`
624×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	534	9262
1	1450	8932
2	5753	8932

Stop Event

1×	node limit

Counts

226 → 278

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

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

localize24.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.1%	(cbrt.f64 (*.f64 (PI.f64) l))
✓	98.9%	(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
	94.3%	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	51.7%	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 49 to 14 computations (71.4% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

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

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1678×	`associate-+r+`
1566×	`associate-+l+`
1066×	`unswap-sqr`
536×	`distribute-lft-neg-in`
536×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	707
1	251	707
2	845	707
3	3347	707

Stop Event

1×	node limit

Counts

57 → 61

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.5%	(*.f64 (PI.f64) l)
✓	99.3%	(pow.f64 (cbrt.f64 F) 2)
✓	99.1%	(cbrt.f64 F)
	51.7%	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 66 to 18 computations (72.7% saved)

series2.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 47

Calls

Call 1

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

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

eval419.0ms (3.1%)

Compiler: Compiled 26159 to 11848 computations (54.7% saved)

prune256.0ms (1.9%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	1025	18	1043
Fresh	9	4	13
Picked	1	0	1
Done	2	2	4
Total	1037	24	1061

Accurracy

99.9%

Counts

1061 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.5%	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
▶	78.9%	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	61.0%	(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))
	63.6%	(/.f64 (.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))
	15.7%	(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
▶	73.5%	(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
▶	55.7%	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	72.3%	(-.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) l))) 2) 3) (cbrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	73.2%	(-.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	73.2%	(-.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	41.6%	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	79.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
▶	79.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	74.1%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 F)))
	74.1%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	74.1%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (/.f64 F (PI.f64))) (/.f64 1 F)))
	15.3%	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
✓	67.9%	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
▶	67.9%	(.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) F) (/.f64 1 F))))
	15.3%	(.f64 l (.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
	58.7%	(.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))) 3)))
✓	80.2%	(*.f64 l (PI.f64))
	15.8%	(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
	29.6%	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 664 to 467 computations (29.7% saved)

localize15.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
✓	99.7%	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
	99.5%	(*.f64 (PI.f64) l)
	51.7%	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 46 to 16 computations (65.2% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	l	@	0	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
1.0ms	l	@	-inf	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
1.0ms	F	@	0	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
0.0ms	l	@	inf	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
0.0ms	F	@	-inf	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))

rewrite77.0ms (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 -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F -1/2) (*.f64 (/.f64 (pow.f64 F -1/2) F) (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 F -2)) (*.f64 (/.f64 1 (cbrt.f64 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x 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-2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))))

simplify109.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

174 → 194

Calls

Call 1

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

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

localize39.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	99.5%	(*.f64 l (PI.f64))
✓	98.1%	(-.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)

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

61 → 58

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) F) (/.f64 1 F)))
✓	99.7%	(*.f64 (/.f64 (PI.f64) F) (/.f64 1 F))
✓	99.6%	(/.f64 (PI.f64) F)
✓	93.8%	(.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) F) (/.f64 1 F))))

Compiler

Compiled 39 to 19 computations (51.3% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	F	@	-inf	(/.f64 (PI.f64) F)
0.0ms	F	@	0	(/.f64 (PI.f64) F)
0.0ms	F	@	inf	(/.f64 (PI.f64) F)
0.0ms	l	@	0	(.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) F) (/.f64 1 F))))
0.0ms	F	@	-inf	(.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) F) (/.f64 1 F))))

rewrite174.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1520×	`associate-/r*`
1456×	`associate-/l*`
680×	`distribute-rgt-in`
638×	`distribute-lft-in`
384×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	260	76
2	3559	76

Stop Event

1×	node limit

Counts

4 → 360

Calls

Call 1

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

Outputs
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(pow.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 F -2))) 2) (.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 l (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2)))) (.f64 (fma.f64 (neg.f64 (/.f64 1 F)) (/.f64 (PI.f64) F) (.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 l (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2)))) (.f64 (fma.f64 (/.f64 (neg.f64 (PI.f64)) (.f64 F F)) 1 (.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 l (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2)))) (.f64 (fma.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 1 F) (.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 l (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2)))) (.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) F)) (/.f64 (sqrt.f64 (PI.f64)) F) (.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 l (-.f64 (PI.f64) (.f64 (PI.f64) 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(pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 l (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 3))) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 2) (pow.f64 (/.f64 (PI.f64) F) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 2)) l) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 3)) l) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 2) (pow.f64 (/.f64 (PI.f64) F) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 l (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 2))) 1) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 l (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 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(+.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 2) (pow.f64 (/.f64 (PI.f64) F) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 l (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 3))) (.f64 (cbrt.f64 (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 2) (pow.f64 (/.f64 (PI.f64) F) 2)))) (cbrt.f64 (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 2) (pow.f64 (/.f64 (PI.f64) F) 2)))))) (cbrt.f64 (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 2) (pow.f64 (/.f64 (PI.f64) F) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 2)) l) 1) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 2)) l) (sqrt.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))))) (sqrt.f64 (+.f64 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simplify199.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1378×	`associate-/l*`
1020×	`associate-r`
972×	`associate-/r*`
790×	`associate-/l/`
698×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	852	19868
1	2260	18562

Stop Event

1×	node limit

Counts

408 → 541

Calls

Call 1

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

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

localize44.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	99.5%	(*.f64 l (PI.f64))
✓	99.1%	(cbrt.f64 (*.f64 l (PI.f64)))
✓	98.9%	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)

Compiler

Compiled 18 to 8 computations (55.6% saved)

series1.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 61

Calls

Call 1

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

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

localize54.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.5%	(*.f64 (PI.f64) l)
✓	99.3%	(/.f64 1 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))
✓	93.9%	(.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))
	51.7%	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 72 to 37 computations (48.6% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite111.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

Outputs

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(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 F -2) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 F -2) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (+.f64 (pow.f64 F -4) 0)) (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (+.f64 0 (pow.f64 (pow.f64 F -2) 3))) (+.f64 (pow.f64 F -4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 F -2) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) -1/2) (pow.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 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simplify146.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

132 → 180

Calls

Call 1

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

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

eval609.0ms (4.5%)

Compiler: Compiled 31750 to 16453 computations (48.2% saved)

prune324.0ms (2.4%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	1244	11	1255
Fresh	8	9	17
Picked	1	0	1
Done	1	5	6
Total	1254	25	1279

Accurracy

100.0%

Counts

1279 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.6%	(pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 3)
	42.5%	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
✓	78.9%	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	61.0%	(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 2)) (/.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))) l))
	63.6%	(/.f64 (.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 2)) l) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))
	15.7%	(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
	15.7%	(/.f64 l (*.f64 (neg.f64 F) (/.f64 F (PI.f64))))
▶	67.7%	(/.f64 1 (/.f64 (/.f64 1 (fma.f64 -1 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64))) l))
	67.7%	(/.f64 1 (/.f64 (/.f64 1 l) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
▶	80.1%	(/.f64 1 (/.f64 1 (*.f64 l (PI.f64))))
✓	55.7%	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	79.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	74.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
▶	74.1%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	74.1%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (/.f64 F (PI.f64))) (/.f64 1 F)))
	78.9%	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
	42.5%	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
	79.0%	(.f64 (cbrt.f64 l) (.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (PI.f64))))
▶	15.3%	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
✓	67.9%	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	67.9%	(.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) F) (/.f64 1 F))))
	58.7%	(.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))) 3)))
✓	80.2%	(*.f64 l (PI.f64))
	15.8%	(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
▶	29.6%	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 560 to 413 computations (26.3% saved)

localize9.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.f64 1 (/.f64 1 (*.f64 l (PI.f64))))
✓	99.5%	(/.f64 1 (*.f64 l (PI.f64)))
	99.5%	(*.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	@	-inf	(/.f64 1 (/.f64 1 (*.f64 l (PI.f64))))
0.0ms	l	@	0	(/.f64 1 (/.f64 1 (*.f64 l (PI.f64))))

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

70 → 64

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.0%	(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
✓	86.4%	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1406×	`associate-*r/`
1388×	`associate-/r*`
1214×	`associate-/l*`
1018×	`*-commutative`
848×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	229	36
2	3229	36

Stop Event

1×	node limit

Counts

2 → 207

Calls

Call 1

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

Outputs

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

simplify109.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1368×	`associate-/l*`
914×	`distribute-rgt-in`
906×	`distribute-lft-in`
684×	`distribute-lft-neg-in`
636×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	469	6745
1	1256	6671
2	5480	6671

Stop Event

1×	node limit

Counts

243 → 274

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
✓	99.7%	(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
	99.6%	(/.f64 (PI.f64) F)
	99.5%	(*.f64 (PI.f64) l)

Compiler

Compiled 32 to 8 computations (75% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite159.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

730×	`distribute-rgt-in`
684×	`distribute-lft-in`
594×	`distribute-lft-neg-in`
554×	`distribute-rgt-neg-in`
402×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	251	56
2	3728	54

Stop Event

1×	node limit

Counts

2 → 206

Calls

Call 1

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

Outputs

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

simplify134.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1048×	`associate-+r+`
856×	`fma-def`
840×	`associate-+l+`
832×	`+-commutative`
462×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	501	9560
1	1431	8920
2	5605	8920

Stop Event

1×	node limit

Counts

254 → 262

Calls

Call 1

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

localize49.0ms (0.4%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(pow.f64 (*.f64 l (PI.f64)) 3)
	99.5%	(*.f64 l (PI.f64))
✓	36.8%	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite66.0ms (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)

localize43.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.f64 1 (/.f64 (/.f64 1 (fma.f64 -1 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64))) l))
✓	99.4%	(/.f64 1 (fma.f64 -1 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64)))
	99.0%	(/.f64 (PI.f64) (*.f64 F F))
✓	94.2%	(/.f64 (/.f64 1 (fma.f64 -1 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64))) l)

Compiler

Compiled 59 to 25 computations (57.6% saved)

series5.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`associate-/l*`
654×	`associate-/r/`
440×	`distribute-rgt-in`
414×	`associate-/l/`
400×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	111
1	314	99
2	4121	99

Stop Event

1×	node limit

Counts

3 → 163

Calls

Call 1

Inputs

(/.f64 (/.f64 1 (fma.f64 -1 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64))) l)

(/.f64 1 (fma.f64 -1 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64)))

(/.f64 1 (/.f64 (/.f64 1 (fma.f64 -1 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64))) l))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 l (fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 l (fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (*.f64 l (fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (PI.f64))) (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 l (fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (PI.f64)) -1/2) (*.f64 (pow.f64 (fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (PI.f64)) -1/2) (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (PI.f64)) -1/2) (/.f64 (pow.f64 (fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (PI.f64)) -1/2) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (PI.f64)) -1/2) (sqrt.f64 l)) (/.f64 (pow.f64 (fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (PI.f64)) -1/2) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (PI.f64)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (PI.f64)))) (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 l (fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (PI.f64))))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (PI.f64)) -2) (*.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (PI.f64)) -2) (*.f64 l l))) (/.f64 1 (cbrt.f64 (*.f64 l (fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (PI.f64))))))))) 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simplify127.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1142×	`distribute-lft-in`
1138×	`distribute-rgt-in`
622×	`associate-r`
550×	`*-commutative`
510×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	443	10079
1	1243	9201
2	4621	8703

Stop Event

1×	node limit

Counts

223 → 324

Calls

Call 1

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

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

eval635.0ms (4.7%)

Compiler: Compiled 21597 to 9734 computations (54.9% saved)

prune336.0ms (2.5%)

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	1126	15	1141
Fresh	7	8	15
Picked	1	0	1
Done	5	4	9
Total	1139	27	1166

Accurracy

100.0%

Counts

1166 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.6%	(pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 3)
	42.5%	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
✓	78.9%	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	21.4%	(/.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 F))
	61.0%	(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 2)) (/.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))) l))
	21.4%	(/.f64 (*.f64 (/.f64 l F) (PI.f64)) (neg.f64 F))
	63.6%	(/.f64 (.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 2)) l) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))
	15.8%	(/.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 F F)))
	21.5%	(/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l)))
	42.5%	(/.f64 1 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) -1/2) 2))
	78.8%	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 l (PI.f64)))) 3))
	80.0%	(/.f64 1 (/.f64 (/.f64 1 (PI.f64)) l))
	80.0%	(/.f64 1 (/.f64 (/.f64 1 l) (PI.f64)))
	58.7%	(/.f64 1 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3))) l))
	21.4%	(/.f64 1 (*.f64 (neg.f64 (/.f64 F l)) (/.f64 F (PI.f64))))
✓	55.7%	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	79.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	80.1%	(*.f64 (/.f64 1 (/.f64 1 l)) (PI.f64))
	78.9%	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
	42.5%	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
	79.0%	(.f64 (cbrt.f64 l) (.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (PI.f64))))
	68.4%	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
	74.1%	(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))
	15.3%	(.f64 l (.f64 (/.f64 (PI.f64) F) (/.f64 -1 F)))
✓	80.2%	(*.f64 l (PI.f64))
✓	29.6%	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
	29.6%	(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))

Compiler

Compiled 306 to 239 computations (21.9% saved)

regimes663.0ms (4.9%)

Counts

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

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

Calls

6 calls:

162.0ms	(*.f64 (PI.f64) l)
149.0ms	l
90.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
86.0ms	F
50.0ms	(*.f64 F F)

Results

Accuracy	Segments	Branch
91.6%	3	`F`
99.5%	3	`l`
92.7%	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
99.5%	3	`(*.f64 (PI.f64) l)`
91.5%	2	`(/.f64 1 (*.f64 F F))`
91.5%	2	`(*.f64 F F)`

Compiler

Compiled 954 to 436 computations (54.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.9785535484406185e-7	3.925371217149e-5
0.0ms	-8.438943091670197e+24	-72653368954109540.0

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes296.0ms (2.2%)

Counts

37 → 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 (/.f64 1 (PI.f64)) l))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(/.f64 l (*.f64 (neg.f64 F) (/.f64 F (PI.f64))))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l)))
(/.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 F F)))
(/.f64 (*.f64 (/.f64 l F) (PI.f64)) (neg.f64 F))
(/.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 F))
(.f64 l (.f64 (/.f64 (PI.f64) F) (/.f64 -1 F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 1 (*.f64 (neg.f64 (/.f64 F l)) (/.f64 F (PI.f64))))
(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))
(.f64 l (.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) F) (/.f64 1 F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (/.f64 F (PI.f64))) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 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)))))
(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 1 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) -1/2) 2))
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 l (PI.f64)))) 3))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))

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:

68.0ms	(*.f64 (PI.f64) l)
51.0ms	l
50.0ms	F
46.0ms	(/.f64 1 (*.f64 F F))
43.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Results

Accuracy	Segments	Branch
91.6%	3	`F`
99.5%	3	`l`
92.7%	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
99.5%	3	`(*.f64 (PI.f64) l)`
91.5%	2	`(/.f64 1 (*.f64 F F))`
91.5%	2	`(*.f64 F F)`

Compiler

Compiled 381 to 170 computations (55.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.9785535484406185e-7	3.925371217149e-5
0.0ms	-8.438943091670197e+24	-72653368954109540.0

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes191.0ms (1.4%)

Counts

34 → 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 (/.f64 1 (PI.f64)) l))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(/.f64 l (*.f64 (neg.f64 F) (/.f64 F (PI.f64))))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l)))
(/.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 F F)))
(/.f64 (*.f64 (/.f64 l F) (PI.f64)) (neg.f64 F))
(/.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 F))
(.f64 l (.f64 (/.f64 (PI.f64) F) (/.f64 -1 F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 1 (*.f64 (neg.f64 (/.f64 F l)) (/.f64 F (PI.f64))))
(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))
(.f64 l (.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) F) (/.f64 1 F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (/.f64 F (PI.f64))) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 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)))))
(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 1 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) -1/2) 2))
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 l (PI.f64)))) 3))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

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

Calls

4 calls:

51.0ms	l
50.0ms	F
49.0ms	(*.f64 (PI.f64) l)
28.0ms	(*.f64 F F)

Results

Accuracy	Segments	Branch
91.5%	3	`F`
99.5%	3	`l`
99.5%	3	`(*.f64 (PI.f64) l)`
91.5%	2	`(*.f64 F F)`

Compiler

Compiled 318 to 144 computations (54.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.9785535484406185e-7	3.925371217149e-5
0.0ms	-8.438943091670197e+24	-72653368954109540.0

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes96.0ms (0.7%)

Counts

25 → 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 (/.f64 1 (PI.f64)) l))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(/.f64 l (*.f64 (neg.f64 F) (/.f64 F (PI.f64))))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l)))
(/.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 F F)))
(/.f64 (*.f64 (/.f64 l F) (PI.f64)) (neg.f64 F))
(/.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 F))
(.f64 l (.f64 (/.f64 (PI.f64) F) (/.f64 -1 F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 1 (*.f64 (neg.f64 (/.f64 F l)) (/.f64 F (PI.f64))))
(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))
(.f64 l (.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) F) (/.f64 1 F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (/.f64 F (PI.f64))) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 F)))

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

Calls

3 calls:

41.0ms	l
34.0ms	F
16.0ms	(*.f64 F F)

Results

Accuracy	Segments	Branch
87.5%	3	`F`
99.4%	3	`l`
86.8%	2	`(*.f64 F F)`

Compiler

Compiled 231 to 103 computations (55.4% saved)

bsearch96.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	9.481030409964591e-8	1.249484465359826e-5
75.0ms	-2.686199015021027e+24	-23126285602651556.0

Results

47.0ms	34×	body	2048	valid
30.0ms	200×	body	256	valid
9.0ms	14×	body	1024	valid
4.0ms	30×	body	256	infinite
2.0ms	8×	body	512	valid

Compiler

Compiled 373 to 270 computations (27.6% saved)

regimes83.0ms (0.6%)

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

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:

33.0ms	l
32.0ms	F
14.0ms	(*.f64 F F)

Results

Accuracy	Segments	Branch
87.5%	3	`F`
99.4%	3	`l`
86.8%	2	`(*.f64 F F)`

Compiler

Compiled 205 to 94 computations (54.1% saved)

bsearch123.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	9.481030409964591e-8	1.249484465359826e-5
117.0ms	-2.686199015021027e+24	-23126285602651556.0

Results

90.0ms	38×	body	2048	valid
17.0ms	112×	body	256	valid
9.0ms	14×	body	1024	valid
4.0ms	12×	body	512	valid
2.0ms	12×	body	256	infinite

Compiler

Compiled 241 to 168 computations (30.3% saved)

regimes95.0ms (0.7%)

Counts

21 → 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 (/.f64 1 (PI.f64)) l))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(/.f64 l (*.f64 (neg.f64 F) (/.f64 F (PI.f64))))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F (/.f64 F l)))
(/.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 F F)))
(/.f64 (*.f64 (/.f64 l F) (PI.f64)) (neg.f64 F))
(/.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 F))
(.f64 l (.f64 (/.f64 (PI.f64) F) (/.f64 -1 F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 1 (*.f64 (neg.f64 (/.f64 F l)) (/.f64 F (PI.f64))))
(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F))))
(.f64 l (.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) F) (/.f64 1 F))))

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

Calls

3 calls:

48.0ms	l
29.0ms	F
13.0ms	(*.f64 F F)

Results

Accuracy	Segments	Branch
87.5%	3	`F`
99.4%	3	`l`
86.7%	2	`(*.f64 F F)`

Compiler

Compiled 183 to 89 computations (51.4% saved)

bsearch125.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
46.0ms	9.481030409964591e-8	1.249484465359826e-5
79.0ms	-2.686199015021027e+24	-23126285602651556.0

Results

54.0ms	196×	body	256	valid
47.0ms	32×	body	2048	valid
9.0ms	15×	body	1024	valid
4.0ms	1×	body	4096	valid
4.0ms	29×	body	256	infinite
4.0ms	12×	body	512	valid

Compiler

Compiled 341 to 254 computations (25.5% saved)

regimes101.0ms (0.7%)

Counts

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

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

Calls

3 calls:

61.0ms	l
25.0ms	F
11.0ms	(*.f64 F F)

Results

Accuracy	Segments	Branch
87.5%	3	`F`
93.7%	3	`l`
86.7%	2	`(*.f64 F F)`

Compiler

Compiled 135 to 67 computations (50.4% saved)

bsearch83.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
61.0ms	9.481030409964591e-8	1.249484465359826e-5
21.0ms	-1.781228832265154e-39	-1.778310521024898e-41

Results

73.0ms	224×	body	256	valid
7.0ms	51×	body	256	infinite

Compiler

Compiled 273 to 196 computations (28.2% saved)

regimes136.0ms (1%)

Counts

14 → 5

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

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

Calls

3 calls:

51.0ms	(*.f64 F F)
46.0ms	l
36.0ms	F

Results

Accuracy	Segments	Branch
88.4%	5	`F`
84.8%	5	`l`
87.6%	3	`(*.f64 F F)`

Compiler

Compiled 116 to 60 computations (48.3% saved)

bsearch212.0ms (1.6%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
50.0ms	2.9797191840389457e-15	404669.2095986291
47.0ms	7.173794276034133e-91	6.487836291963951e-85
96.0ms	-4.4692541971724584e-95	-2.225714632270363e-103
20.0ms	-1.780443193905068e-13	-8.556723025233786e-14

Results

100.0ms	232×	body	1024	valid
96.0ms	277×	body	256	valid
9.0ms	35×	body	512	valid

Compiler

Compiled 671 to 528 computations (21.3% saved)

regimes102.0ms (0.8%)

Counts

7 → 5

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

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

Calls

3 calls:

63.0ms	l
26.0ms	F
11.0ms	(*.f64 F F)

Results

Accuracy	Segments	Branch
88.4%	5	`F`
82.0%	3	`l`
87.6%	3	`(*.f64 F F)`

Compiler

Compiled 59 to 38 computations (35.6% saved)

bsearch172.0ms (1.3%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	2.9797191840389457e-15	404669.2095986291
55.0ms	7.173794276034133e-91	6.487836291963951e-85
51.0ms	-4.4692541971724584e-95	-2.225714632270363e-103
23.0ms	-1.780443193905068e-13	-8.556723025233786e-14

Results

115.0ms	251×	body	1024	valid
41.0ms	257×	body	256	valid
9.0ms	36×	body	512	valid

Compiler

Compiled 671 to 528 computations (21.3% saved)

regimes11.0ms (0.1%)

Accuracy

Total -15.9b remaining (-125.5%)

Threshold costs -15.90b (-125.5%)

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

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

Calls

2 calls:

5.0ms	F
5.0ms	l

Results

Accuracy	Segments	Branch
80.2%	1	`F`
80.2%	1	`l`

Compiler

Compiled 46 to 31 computations (32.6% saved)

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

68×	`*-commutative`
64×	`+-commutative`
46×	`sub-neg`
40×	`neg-mul-1`
40×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	806
1	165	806
2	230	806
3	273	806
4	297	806
5	304	806
6	305	806

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) -5000000000000000452984832) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 4722366482869645/9444732965739290427392) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) -5000000000000000452984832) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 4722366482869645/9444732965739290427392) (-.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) -5000000000000000452984832) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 4722366482869645/9444732965739290427392) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64))))) (.f64 l (PI.f64))))
(if (<=.f64 l -24000000000000000) (.f64 l (PI.f64)) (if (<=.f64 l 7201608886376209/590295810358705651712) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (/.f64 F (PI.f64))) (/.f64 1 F))) (.f64 l (PI.f64))))
(if (<=.f64 l -24000000000000000) (.f64 l (PI.f64)) (if (<=.f64 l 4722366482869645/2361183241434822606848) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (<=.f64 l -24000000000000000) (.f64 l (PI.f64)) (if (<=.f64 l 7201608886376209/590295810358705651712) (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F)))) (.f64 l (PI.f64))))
(if (<=.f64 l -5363734393030611/3064991081731777716716694054300618367237478244367204352) (.f64 l (PI.f64)) (if (<=.f64 l 7201608886376209/590295810358705651712) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) (.f64 l (PI.f64))))
(if (<=.f64 F -465465454771303/4951760157141521099596496896) (.f64 l (PI.f64)) (if (<=.f64 F -5989104941851961/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (/.f64 l (.f64 (neg.f64 F) (/.f64 F (PI.f64)))) (if (<=.f64 F 6824222261322997/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 F 2508757194024499/73786976294838206464) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))) (.f64 l (PI.f64))))))
(if (<=.f64 F -6813621976226733/79228162514264337593543950336) (.f64 l (PI.f64)) (if (<=.f64 F -98638788476501/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))) (if (<=.f64 F 2012270666800371/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 F 4951760157141521/19807040628566084398385987584) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))) (*.f64 l (PI.f64))))))
(*.f64 l (PI.f64))

Outputs
(if (<=.f64 (.f64 (PI.f64) l) -5000000000000000452984832) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 4722366482869645/9444732965739290427392) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (.f64 l (PI.f64))))
(if (or (<=.f64 (.f64 (PI.f64) l) -5000000000000000452984832) (not (<=.f64 (.f64 (PI.f64) l) 4722366482869645/9444732965739290427392))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(if (or (<=.f64 (.f64 (PI.f64) l) -5000000000000000452984832) (not (<=.f64 (.f64 (PI.f64) l) 4722366482869645/9444732965739290427392))) (.f64 (PI.f64) l) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 -1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(if (<=.f64 (.f64 (PI.f64) l) -5000000000000000452984832) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 4722366482869645/9444732965739290427392) (-.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) -5000000000000000452984832) (not (<=.f64 (.f64 (PI.f64) l) 4722366482869645/9444732965739290427392))) (.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) -5000000000000000452984832) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 4722366482869645/9444732965739290427392) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64))))) (.f64 l (PI.f64))))
(if (or (<=.f64 (.f64 (PI.f64) l) -5000000000000000452984832) (not (<=.f64 (.f64 (PI.f64) l) 4722366482869645/9444732965739290427392))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (*.f64 (PI.f64) l)))))
(if (or (<=.f64 (.f64 (PI.f64) l) -5000000000000000452984832) (not (<=.f64 (.f64 (PI.f64) l) 4722366482869645/9444732965739290427392))) (.f64 (PI.f64) l) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 -1 F) (/.f64 F (*.f64 (PI.f64) l)))))
(if (<=.f64 l -24000000000000000) (.f64 l (PI.f64)) (if (<=.f64 l 7201608886376209/590295810358705651712) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l (/.f64 F (PI.f64))) (/.f64 1 F))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -24000000000000000) (not (<=.f64 l 7201608886376209/590295810358705651712))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (*.f64 (/.f64 1 F) (/.f64 l (/.f64 F (PI.f64))))))
(if (or (<=.f64 l -24000000000000000) (not (<=.f64 l 7201608886376209/590295810358705651712))) (.f64 (PI.f64) l) (+.f64 (.f64 (PI.f64) l) (*.f64 (/.f64 l (/.f64 F (PI.f64))) (/.f64 -1 F))))
(if (<=.f64 l -24000000000000000) (.f64 l (PI.f64)) (if (<=.f64 l 4722366482869645/2361183241434822606848) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -24000000000000000) (not (<=.f64 l 4722366482869645/2361183241434822606848))) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(if (<=.f64 l -24000000000000000) (.f64 l (PI.f64)) (if (<=.f64 l 7201608886376209/590295810358705651712) (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 1 F) (/.f64 l F)))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -24000000000000000) (not (<=.f64 l 7201608886376209/590295810358705651712))) (.f64 (PI.f64) l) (.f64 (PI.f64) (-.f64 l (*.f64 (/.f64 1 F) (/.f64 l F)))))
(if (or (<=.f64 l -24000000000000000) (not (<=.f64 l 7201608886376209/590295810358705651712))) (.f64 (PI.f64) l) (.f64 (PI.f64) (+.f64 l (*.f64 (/.f64 l F) (/.f64 -1 F)))))
(if (<=.f64 l -5363734393030611/3064991081731777716716694054300618367237478244367204352) (.f64 l (PI.f64)) (if (<=.f64 l 7201608886376209/590295810358705651712) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) (.f64 l (PI.f64))))
(if (or (<=.f64 l -5363734393030611/3064991081731777716716694054300618367237478244367204352) (not (<=.f64 l 7201608886376209/590295810358705651712))) (.f64 (PI.f64) l) (.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(if (<=.f64 F -465465454771303/4951760157141521099596496896) (.f64 l (PI.f64)) (if (<=.f64 F -5989104941851961/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (/.f64 l (.f64 (neg.f64 F) (/.f64 F (PI.f64)))) (if (<=.f64 F 6824222261322997/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 F 2508757194024499/73786976294838206464) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))) (.f64 l (PI.f64))))))
(if (<=.f64 F -465465454771303/4951760157141521099596496896) (.f64 (PI.f64) l) (if (<=.f64 F -5989104941851961/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (/.f64 l (.f64 (/.f64 F (PI.f64)) (neg.f64 F))) (if (<=.f64 F 6824222261322997/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (+.f64 (+.f64 (.f64 (PI.f64) l) 1) -1) (if (<=.f64 F 2508757194024499/73786976294838206464) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))) (.f64 (PI.f64) l)))))
(if (<=.f64 F -465465454771303/4951760157141521099596496896) (.f64 (PI.f64) l) (if (<=.f64 F -5989104941851961/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (/.f64 l (.f64 F (neg.f64 (/.f64 F (PI.f64))))) (if (<=.f64 F 6824222261322997/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (+.f64 (+.f64 (.f64 (PI.f64) l) 1) -1) (if (<=.f64 F 2508757194024499/73786976294838206464) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))) (.f64 (PI.f64) l)))))
(if (<=.f64 F -465465454771303/4951760157141521099596496896) (.f64 (PI.f64) l) (if (<=.f64 F -5989104941851961/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (/.f64 l (.f64 F (/.f64 (neg.f64 F) (PI.f64)))) (if (<=.f64 F 6824222261322997/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (+.f64 (+.f64 (.f64 (PI.f64) l) 1) -1) (if (<=.f64 F 2508757194024499/73786976294838206464) (.f64 (/.f64 (PI.f64) (.f64 F F)) (neg.f64 l)) (.f64 (PI.f64) l)))))
(if (<=.f64 F -6813621976226733/79228162514264337593543950336) (.f64 l (PI.f64)) (if (<=.f64 F -98638788476501/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))) (if (<=.f64 F 2012270666800371/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 F 4951760157141521/19807040628566084398385987584) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))) (*.f64 l (PI.f64))))))
(if (<=.f64 F -6813621976226733/79228162514264337593543950336) (.f64 (PI.f64) l) (if (<=.f64 F -98638788476501/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))) (if (<=.f64 F 2012270666800371/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (+.f64 (+.f64 (.f64 (PI.f64) l) 1) -1) (if (<=.f64 F 4951760157141521/19807040628566084398385987584) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))) (*.f64 (PI.f64) l)))))
(if (<=.f64 F -6813621976226733/79228162514264337593543950336) (.f64 (PI.f64) l) (if (<=.f64 F -98638788476501/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (.f64 (/.f64 (PI.f64) (.f64 F F)) (neg.f64 l)) (if (<=.f64 F 2012270666800371/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (+.f64 (+.f64 (.f64 (PI.f64) l) 1) -1) (if (<=.f64 F 4951760157141521/19807040628566084398385987584) (.f64 (/.f64 (PI.f64) (.f64 F F)) (neg.f64 l)) (*.f64 (PI.f64) l)))))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

Compiler

Compiled 292 to 168 computations (42.5% saved)

soundness78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 42 to 16 computations (61.9% saved)

end128.0ms (1%)

Compiler: Compiled 274 to 125 computations (54.4% saved)