Details

analyze301.0ms (0.6%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.8s (5.4%)

Results

1.1s	1095×	body	2048	valid
674.0ms	1850×	body	1024	valid
566.0ms	4506×	body	256	valid
226.0ms	747×	body	512	valid
190.0ms	58×	body	4096	valid
37.0ms	295×	body	256	infinite
7.0ms	13×	body	2048	infinite
1.0ms	2×	body	8192	exit

Bogosity

preprocess150.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1036×	`fma-neg_binary64`
1024×	`fma-def_binary64`
528×	`div-sub_binary64`
432×	`times-frac_binary64`
309×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	43	40
2	105	40
3	267	40
4	456	40
5	737	40
6	1005	40
7	1418	40
8	2573	40
9	4245	40
10	4848	40
11	4898	40
12	4928	40
13	4942	40
14	5170	40
15	5266	40
16	5954	40
17	5954	40
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)

simplify25.0ms (0%)

Algorithm

1×	egg-herbie

Rules

297×	`fma-def_binary64`
157×	`fma-neg_binary64`
49×	`cancel-sign-sub-inv_binary64`
38×	`associate-/l*_binary64`
33×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	25	20
2	57	20
3	139	20
4	236	20
5	375	20
6	501	20
7	641	20
8	833	20
9	1103	20
10	1157	20

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

19.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	19.6b	(-.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%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (PI.f64) l)
✓	0.6b	(/.f64 1 (*.f64 F F))
✓	5.3b	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	33.3b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series27.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	l	@	inf	(tan.f64 (*.f64 (PI.f64) l))
4.0ms	l	@	0	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
4.0ms	l	@	0	(tan.f64 (*.f64 (PI.f64) l))
3.0ms	F	@	0	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
2.0ms	F	@	inf	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))

Compiler

Compiled 1136 to 864 computations (23.9% saved)

rewrite58.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`pow1_binary64`
857×	`add-log-exp_binary64`
856×	`log1p-expm1-u_binary64`
856×	`expm1-log1p-u_binary64`
836×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	201	29
2	2454	29

Stop Event

1×	node limit

Counts

4 → 87

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

simplify66.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-def_binary64`
330×	`associate-/l/_binary64`
306×	`log-prod_binary64`
247×	`fma-neg_binary64`
203×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	2566
1	741	2251
2	3185	2098

Stop Event

1×	node limit

Counts

147 → 141

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

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	0.2b	(*.f64 (PI.f64) l)
✓	5.5b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	33.3b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series18.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

Compiler

Compiled 1352 to 983 computations (27.3% saved)

rewrite70.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary64`
397×	`exp-prod_binary64`
352×	`pow-prod-down_binary64`
276×	`pow2_binary64`
276×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	200	33
2	2890	33

Stop Event

1×	node limit

Counts

2 → 172

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

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

simplify137.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

630×	`times-frac_binary64`
554×	`cancel-sign-sub-inv_binary64`
410×	`unswap-sqr_binary64`
296×	`fma-neg_binary64`
194×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	449	6536
1	1167	6195
2	3495	6195

Stop Event

1×	node limit

Counts

220 → 266

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

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

eval227.0ms (0.4%)

Compiler: Compiled 13392 to 6417 computations (52.1% saved)

prune122.0ms (0.2%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	465	19	484
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	467	19	486

Error

0.1b

Counts

486 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	20.3b	(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))))
	40.6b	(fma.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	39.6b	(fma.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 l l))) (cbrt.f64 l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	39.7b	(fma.f64 (cbrt.f64 (.f64 l l)) (.f64 (cbrt.f64 l) (PI.f64)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	50.8b	(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) l) 2) (-.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 2) (.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))))
▶	56.2b	(/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))
	40.7b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	20.3b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	39.6b	(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 (.f64 l l)) (cbrt.f64 l))) (.f64 (pow.f64 F -2) (tan.f64 (*.f64 l (PI.f64)))))
	38.6b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
▶	14.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	26.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
	19.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))))
	20.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	26.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
	19.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (.f64 (PI.f64) l))))
	47.0b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	26.0b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
▶	11.7b	(*.f64 l (PI.f64))

Compiler

Compiled 672 to 434 computations (35.4% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

Compiler

Compiled 72 to 60 computations (16.7% saved)

rewrite34.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

367×	`pow1_binary64`
350×	`add-sqr-sqrt_binary64`
345×	`*-un-lft-identity_binary64`
336×	`add-log-exp_binary64`
336×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	78	5
2	922	5

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify39.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

995×	`fma-def_binary64`
599×	`log-prod_binary64`
278×	`*-commutative_binary64`
267×	`associate-l_binary64`
263×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	164
1	142	164
2	420	164
3	2621	164
4	6807	164

Stop Event

1×	node limit

Counts

21 → 24

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
✓	0.7b	(/.f64 (PI.f64) (*.f64 F F))
✓	5.1b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))

Compiler

Compiled 29 to 7 computations (75.9% saved)

series12.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

Compiler

Compiled 574 to 467 computations (18.6% saved)

rewrite78.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

548×	`prod-diff_binary64`
476×	`log-prod_binary64`
314×	`pow-prod-down_binary64`
244×	`pow2_binary64`
213×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	35
1	177	35
2	2603	35

Stop Event

1×	node limit

Counts

3 → 225

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

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

simplify107.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

562×	`times-frac_binary64`
521×	`fma-neg_binary64`
502×	`unswap-sqr_binary64`
243×	`log-prod_binary64`
188×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	516	5382
1	1273	4660
2	4063	4270

Stop Event

1×	node limit

Counts

273 → 282

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 l (*.f64 (pow.f64 F -2) (PI.f64))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (.f64 l (.f64 (pow.f64 F -2) (PI.f64)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (.f64 l (.f64 (pow.f64 F -2) (PI.f64)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (.f64 l (.f64 (pow.f64 F -2) (PI.f64)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 -1 (.f64 l (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64)))) (.f64 l (PI.f64)))
(+.f64 (.f64 -1 (.f64 l (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64)))) (.f64 l (PI.f64)))
(+.f64 (.f64 -1 (.f64 l (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64)))) (.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (.f64 l (.f64 (PI.f64) (pow.f64 (/.f64 -1 F) 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (.f64 l (.f64 (PI.f64) (pow.f64 (/.f64 -1 F) 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (.f64 l (.f64 (PI.f64) (pow.f64 (/.f64 -1 F) 2)))))
(*.f64 (pow.f64 F -2) (PI.f64))
(*.f64 (pow.f64 F -2) (PI.f64))
(*.f64 (pow.f64 F -2) (PI.f64))
(*.f64 (pow.f64 F -2) (PI.f64))
(*.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))
(*.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))
(*.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))
(*.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))
(*.f64 (PI.f64) (pow.f64 (/.f64 -1 F) 2))
(*.f64 (PI.f64) (pow.f64 (/.f64 -1 F) 2))
(*.f64 (PI.f64) (pow.f64 (/.f64 -1 F) 2))
(*.f64 (PI.f64) (pow.f64 (/.f64 -1 F) 2))
(.f64 -1 (.f64 (pow.f64 F -2) (PI.f64)))
(+.f64 (.f64 -1 (.f64 (pow.f64 F -2) (PI.f64))) (PI.f64))
(+.f64 (.f64 -1 (.f64 (pow.f64 F -2) (PI.f64))) (PI.f64))
(+.f64 (.f64 -1 (.f64 (pow.f64 F -2) (PI.f64))) (PI.f64))
(PI.f64)
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))) (PI.f64))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))) (PI.f64))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))) (PI.f64))
(PI.f64)
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 -1 F) 2) (PI.f64))) (PI.f64))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 -1 F) 2) (PI.f64))) (PI.f64))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 -1 F) 2) (PI.f64))) (PI.f64))
(+.f64 0 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
(+.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)) l))
(+.f64 (.f64 l (PI.f64)) (.f64 l (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (pow.f64 F -2))) l)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (pow.f64 F -2))) l))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (pow.f64 F -2))) l))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (pow.f64 F -2))) l))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))) 1)
(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) l) (fma.f64 (/.f64 (/.f64 (PI.f64) F) F) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)) (pow.f64 (PI.f64) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) l) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
(/.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6))) (fma.f64 (/.f64 (/.f64 (PI.f64) F) F) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)) (pow.f64 (PI.f64) 2)))
(/.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4))) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
(pow.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) 1)
(pow.f64 (pow.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) 3)
(pow.f64 (sqrt.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) 2)
(sqrt.f64 (pow.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (pow.f64 F -2))) l))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))))
(cbrt.f64 (pow.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) 3))
(expm1.f64 (log1p.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))
(log1p.f64 (expm1.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))
(exp.f64 (log.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))
(exp.f64 (.f64 (log.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) 1) 1))
(fma.f64 l (PI.f64) (.f64 l (.f64 (neg.f64 (PI.f64)) (pow.f64 F -2))))
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(fma.f64 (cbrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (pow.f64 (cbrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) 2) (+.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) 2) (cbrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) 2) (cbrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (fma.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)) 1 (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) 2) (cbrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) F) F))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) 2) (cbrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (+.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) F) (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) F)) (PI.f64))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (.f64 (.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)) 1))
(fma.f64 (sqrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (sqrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (sqrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (sqrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (fma.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)) 1 (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (sqrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (sqrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) F) F))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (sqrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (sqrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (+.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (neg.f64 (PI.f64)) (pow.f64 F -2) (PI.f64))
(fma.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) (/.f64 1 (fma.f64 (/.f64 (/.f64 (PI.f64) F) F) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)) (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) (/.f64 1 (fma.f64 (/.f64 (/.f64 (PI.f64) F) F) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)) (pow.f64 (PI.f64) 2))) (fma.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)) 1 (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) (/.f64 1 (fma.f64 (/.f64 (/.f64 (PI.f64) F) F) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)) (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) F) F))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) (/.f64 1 (fma.f64 (/.f64 (/.f64 (PI.f64) F) F) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 1 (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))) (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 1 (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))) (fma.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)) 1 (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 1 (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) F) F))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 1 (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))) (+.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (neg.f64 (PI.f64)) (pow.f64 F -2))) 2) (cbrt.f64 (.f64 (neg.f64 (PI.f64)) (pow.f64 F -2))) (PI.f64))
(fma.f64 (sqrt.f64 (.f64 (neg.f64 (PI.f64)) (pow.f64 F -2))) (sqrt.f64 (.f64 (neg.f64 (PI.f64)) (pow.f64 F -2))) (PI.f64))
(fma.f64 (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) F)) (/.f64 (sqrt.f64 (PI.f64)) F) (PI.f64))
(fma.f64 -1 (/.f64 (/.f64 (PI.f64) F) F) (PI.f64))
(fma.f64 (+.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (-.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (+.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (-.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (fma.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)) 1 (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (+.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (-.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) F) F))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (+.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (-.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (+.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4))) (cbrt.f64 (/.f64 (/.f64 (PI.f64) F) F)) (PI.f64))

Outputs
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(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(.f64 -1 (.f64 l (*.f64 (pow.f64 F -2) (PI.f64))))
(neg.f64 (.f64 (.f64 l (pow.f64 F -2)) (PI.f64)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 (pow.f64 F -2) (.f64 l (neg.f64 (PI.f64))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (.f64 l (.f64 (pow.f64 F -2) (PI.f64)))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (.f64 l (.f64 (pow.f64 F -2) (PI.f64)))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (.f64 l (.f64 (pow.f64 F -2) (PI.f64)))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 -1 (.f64 l (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64)))) (.f64 l (PI.f64)))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(+.f64 (.f64 -1 (.f64 l (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64)))) (.f64 l (PI.f64)))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(+.f64 (.f64 -1 (.f64 l (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64)))) (.f64 l (PI.f64)))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (.f64 l (.f64 (PI.f64) (pow.f64 (/.f64 -1 F) 2)))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (.f64 l (.f64 (PI.f64) (pow.f64 (/.f64 -1 F) 2)))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (.f64 l (.f64 (PI.f64) (pow.f64 (/.f64 -1 F) 2)))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(*.f64 (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 (PI.f64) (pow.f64 (/.f64 -1 F) 2))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 (PI.f64) (pow.f64 (/.f64 -1 F) 2))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 (PI.f64) (pow.f64 (/.f64 -1 F) 2))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 (PI.f64) (pow.f64 (/.f64 -1 F) 2))
(*.f64 (PI.f64) (pow.f64 F -2))
(.f64 -1 (.f64 (pow.f64 F -2) (PI.f64)))
(*.f64 (pow.f64 F -2) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(+.f64 (.f64 -1 (.f64 (pow.f64 F -2) (PI.f64))) (PI.f64))
(fma.f64 (neg.f64 (PI.f64)) (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 F -2) (PI.f64))) (PI.f64))
(fma.f64 (neg.f64 (PI.f64)) (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 F -2) (PI.f64))) (PI.f64))
(fma.f64 (neg.f64 (PI.f64)) (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))
(PI.f64)
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))) (PI.f64))
(fma.f64 (neg.f64 (PI.f64)) (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))) (PI.f64))
(fma.f64 (neg.f64 (PI.f64)) (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))) (PI.f64))
(fma.f64 (neg.f64 (PI.f64)) (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))
(PI.f64)
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 -1 F) 2) (PI.f64))) (PI.f64))
(fma.f64 (neg.f64 (PI.f64)) (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 -1 F) 2) (PI.f64))) (PI.f64))
(fma.f64 (neg.f64 (PI.f64)) (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 -1 F) 2) (PI.f64))) (PI.f64))
(fma.f64 (neg.f64 (PI.f64)) (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))
(+.f64 0 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(+.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)) l))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(+.f64 (.f64 l (PI.f64)) (.f64 l (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (pow.f64 F -2))) l)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (pow.f64 F -2))) l))))
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(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 F -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (.f64 (PI.f64) (pow.f64 F -2))) (/.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) (fma.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)) (pow.f64 (PI.f64) 2))))
(+.f64 (-.f64 (.f64 (PI.f64) (pow.f64 F -2)) (.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 F -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)))) (/.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) (fma.f64 (.f64 (PI.f64) (pow.f64 F -2)) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)) (pow.f64 (PI.f64) 2))))
(fma.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) (/.f64 1 (fma.f64 (/.f64 (/.f64 (PI.f64) F) F) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)) (/.f64 (/.f64 (PI.f64) F) F)))
(.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) (/.f64 1 (fma.f64 (/.f64 (PI.f64) (.f64 F F)) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)) (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) (fma.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)) (pow.f64 (PI.f64) 2)))
(fma.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 1 (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))) (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 1 (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
(fma.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 1 (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))) (fma.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)) 1 (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 1 (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
(fma.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 1 (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) F) F))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 1 (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (PI.f64) (.f64 F F)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 (PI.f64) (.f64 F F))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 F -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (.f64 (PI.f64) (pow.f64 F -2))) (/.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))))
(+.f64 (-.f64 (.f64 (PI.f64) (pow.f64 F -2)) (.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)))) (/.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))))
(fma.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 1 (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))) (+.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 1 (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (neg.f64 (PI.f64)) (pow.f64 F -2))) 2) (cbrt.f64 (.f64 (neg.f64 (PI.f64)) (pow.f64 F -2))) (PI.f64))
(fma.f64 (neg.f64 (PI.f64)) (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))
(fma.f64 (sqrt.f64 (.f64 (neg.f64 (PI.f64)) (pow.f64 F -2))) (sqrt.f64 (.f64 (neg.f64 (PI.f64)) (pow.f64 F -2))) (PI.f64))
(fma.f64 (neg.f64 (PI.f64)) (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))
(fma.f64 (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) F)) (/.f64 (sqrt.f64 (PI.f64)) F) (PI.f64))
(fma.f64 (neg.f64 (PI.f64)) (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))
(fma.f64 -1 (/.f64 (/.f64 (PI.f64) F) F) (PI.f64))
(fma.f64 (neg.f64 (PI.f64)) (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))
(fma.f64 (+.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (-.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (neg.f64 (PI.f64)) (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))
(fma.f64 (+.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (-.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (fma.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)) 1 (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (neg.f64 (PI.f64)) (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))
(fma.f64 (+.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (-.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) F) F))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 (/.f64 (PI.f64) F) F)))
(+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (PI.f64) (.f64 F F)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 (PI.f64) (*.f64 F F))))
(+.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 F -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (*.f64 (PI.f64) (pow.f64 F -2))))
(+.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) (-.f64 (.f64 (PI.f64) (pow.f64 F -2)) (.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 F -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)))))
(fma.f64 (+.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (-.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (+.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 F -2)) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (neg.f64 (PI.f64)) (pow.f64 F -2) (PI.f64))
(*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4))) (cbrt.f64 (/.f64 (/.f64 (PI.f64) F) F)) (PI.f64))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (neg.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 F F)))) (PI.f64))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) (PI.f64))
(-.f64 (PI.f64) (.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 F -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4))))

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
✓	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.2b	(*.f64 (PI.f64) l)
	33.3b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 38 to 8 computations (78.9% saved)

series19.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

Compiler

Compiled 1200 to 864 computations (28% saved)

rewrite53.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`pow1_binary64`
876×	`add-log-exp_binary64`
876×	`log1p-expm1-u_binary64`
876×	`expm1-log1p-u_binary64`
857×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	170	23
2	2340	23

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

740×	`unswap-sqr_binary64`
591×	`fma-def_binary64`
223×	`log-prod_binary64`
208×	`associate-/l*_binary64`
189×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	2907
1	761	2502
2	2866	2294

Stop Event

1×	node limit

Counts

116 → 122

Calls

Call 1

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

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

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
✓	5.5b	(/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))
✓	32.4b	(cos.f64 (*.f64 l (PI.f64)))
✓	32.7b	(sin.f64 (*.f64 l (PI.f64)))

Compiler

Compiled 47 to 17 computations (63.8% saved)

series36.0ms (0.1%)

Counts

4 → 56

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	l	@	0	(sin.f64 (*.f64 l (PI.f64)))
5.0ms	l	@	0	(/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))
5.0ms	F	@	-inf	(/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))
3.0ms	F	@	inf	(/.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
2.0ms	l	@	inf	(/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))

Compiler

Compiled 1348 to 1074 computations (20.3% saved)

rewrite117.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`log-prod_binary64`
309×	`pow2_binary64`
282×	`prod-diff_binary64`
240×	`pow-unpow_binary64`
216×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	260	49
2	3604	40

Stop Event

1×	node limit

Counts

4 → 154

Calls

Call 1

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

Outputs
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(tan.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 F -2) (tan.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 F -2) (tan.f64 (.f64 l (PI.f64))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 l (PI.f64)))) (.f64 F F))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 l (PI.f64)))) (.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 l (PI.f64)))) (.f64 F F)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 l (PI.f64)))) (.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 F (/.f64 (cos.f64 (.f64 l (PI.f64))) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))) F) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))) F) 4)) (cbrt.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))) 2) (.f64 (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))) (.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))) F) (.f64 (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))) F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))) (.f64 (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))) (.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (.f64 l (PI.f64)))) (/.f64 1 (neg.f64 (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))) 1) (/.f64 (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 F -4))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))) 2) (cbrt.f64 (pow.f64 F -4))) (cbrt.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))) (cbrt.f64 (pow.f64 F -4))) (/.f64 (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 F) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))) 2) (/.f64 1 F)) (/.f64 (cbrt.f64 (cos.f64 (.f64 l (PI.f64)))) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))) F) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))) F) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))) F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 F -2) (cos.f64 (.f64 l (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 3) (pow.f64 F -6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 F -2) (cos.f64 (.f64 l (PI.f64)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 (.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))) F) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 l (PI.f64)))) (.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (cos.f64 (.f64 l (PI.f64)))) F) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cos.f64 (.f64 l (PI.f64))) 3) (pow.f64 F -6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))) 1))))))

simplify100.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

511×	`times-frac_binary64`
398×	`div-sub_binary64`
387×	`associate-r_binary64`
309×	`log-prod_binary64`
293×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	3985
1	1145	3756
2	5934	3750

Stop Event

1×	node limit

Counts

210 → 245

Calls

Call 1

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

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

localize24.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 l)
✓	5.3b	(.f64 (pow.f64 F -2) (tan.f64 (.f64 l (PI.f64))))
✓	30.6b	(cbrt.f64 (*.f64 l l))
✓	33.3b	(tan.f64 (*.f64 l (PI.f64)))

Compiler

Compiled 67 to 20 computations (70.1% saved)

series1.3s (2.6%)

Counts

4 → 36

Calls

15 calls:

Time	Variable		Point	Expression
328.0ms	l	@	-inf	(cbrt.f64 l)
216.0ms	l	@	-inf	(cbrt.f64 (*.f64 l l))
201.0ms	l	@	0	(cbrt.f64 (*.f64 l l))
201.0ms	l	@	inf	(cbrt.f64 (*.f64 l l))
194.0ms	l	@	0	(cbrt.f64 l)

Compiler

Compiled 139728 to 110296 computations (21.1% saved)

rewrite71.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
465×	`prod-exp_binary64`
396×	`exp-prod_binary64`
341×	`pow-prod-down_binary64`
289×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	241	29
2	2700	29

Stop Event

1×	node limit

Counts

4 → 164

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 l) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 l) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 l) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 l) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 l) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 4) (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 l) (pow.f64 l 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 l 1/6) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 5) (cbrt.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 l 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 l l) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 l) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 l) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 l 3) 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 l 4) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 l 6) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 l (cbrt.f64 l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 l)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)) 3)))) (#(struct:change #<rule 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2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 l l)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 l) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (.f64 2/3 (log.f64 l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 l) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 l) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 l l)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 l l)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 l)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 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(log.f64 (cbrt.f64 l)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 l (PI.f64)))) (pow.f64 F -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 l (PI.f64)))) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 l (PI.f64)))) (pow.f64 F -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 l (PI.f64)))) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F -2)) (cos.f64 (.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 F -2) (sin.f64 (.f64 l (PI.f64)))) (cos.f64 (.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2) (pow.f64 F -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 3) (pow.f64 F -6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))) (/.f64 1 F)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (.f64 l (PI.f64)))))) 2)) (cbrt.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (.f64 l (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (.f64 l (PI.f64))))))) (sqrt.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (.f64 l (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2) (pow.f64 F -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 l (PI.f64)))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 3) (pow.f64 F -6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (.f64 l (PI.f64))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (.f64 l (PI.f64)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))) (/.f64 1 F))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (.f64 l (PI.f64))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (tan.f64 (.f64 l (PI.f64)))) 1) (.f64 -2 (log.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (tan.f64 (.f64 l (PI.f64)))) (.f64 (.f64 -2 (log.f64 F)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (tan.f64 (.f64 l (PI.f64)))) 1) (.f64 (.f64 -2 (log.f64 F)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (.f64 -2 (log.f64 F)) 1) (log.f64 (tan.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 -2 (log.f64 F)) (.f64 (log.f64 (tan.f64 (.f64 l (PI.f64)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (.f64 -2 (log.f64 F)) 1) (.f64 (log.f64 (tan.f64 (*.f64 l (PI.f64)))) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 l))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 l)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 l)) (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 l 1/6) (pow.f64 l 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 l) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 l 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 l l) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 l) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 l 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 l 6) 1/18)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 l) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 l 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 l))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 l)))) (sqrt.f64 (log.f64 (cbrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 l) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 l l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 l) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 l) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 l l)) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 l l)) 1/3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 l)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 l) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (cbrt.f64 l)) 1) 1))))))

simplify70.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

500×	`unswap-sqr_binary64`
461×	`associate-/l*_binary64`
360×	`distribute-rgt-in_binary64`
339×	`distribute-lft-in_binary64`
310×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	446	8589937496
1	1002	2657
2	2813	2606

Stop Event

1×	node limit

Counts

200 → 226

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 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64))))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (.f64 (pow.f64 (PI.f64) 4) (PI.f64))) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (PI.f64)))))))) (pow.f64 l 5)) (+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (PI.f64)))))))
(+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 (PI.f64) 6) (PI.f64))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (.f64 (pow.f64 (PI.f64) 4) (PI.f64))) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (PI.f64)))))))))) (.f64 1/24 (.f64 (pow.f64 (PI.f64) 4) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (PI.f64))))))))) (pow.f64 l 7)) (+.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (.f64 (pow.f64 (PI.f64) 4) (PI.f64))) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (PI.f64)))))))) (pow.f64 l 5)) (+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (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))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F -2)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F -2)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F -2)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F -2)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 (/.f64 1 F) 2)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 (/.f64 1 F) 2)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 (/.f64 1 F) 2)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 (/.f64 1 F) 2)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 (/.f64 -1 F) 2)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 (/.f64 -1 F) 2)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 (/.f64 -1 F) 2)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 (/.f64 -1 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 (.f64 (pow.f64 (PI.f64) 2) (PI.f64)) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (PI.f64) 4) (PI.f64)) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (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 (.f64 (pow.f64 (PI.f64) 2) (PI.f64)) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (PI.f64) 4) (PI.f64)) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (PI.f64))))) (pow.f64 F 2)))))) (+.f64 (.f64 (pow.f64 l 7) (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (.f64 (pow.f64 (PI.f64) 4) (PI.f64))) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (PI.f64))))))))) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 (PI.f64) 4) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (PI.f64))))) (pow.f64 F 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 (PI.f64) 6) (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 (.f64 (pow.f64 (PI.f64) 2) (PI.f64)) (pow.f64 F 2))))) (/.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 0 (tan.f64 (*.f64 l (PI.f64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 l (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 l (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 l (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 l (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 l (PI.f64))))) 1)
(.f64 (tan.f64 (.f64 l (PI.f64))) 1)
(.f64 1 (tan.f64 (.f64 l (PI.f64))))
(.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64)))) 2) (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))))
(.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))) (sqrt.f64 (tan.f64 (*.f64 l (PI.f64)))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 1 (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 1 (/.f64 (cos.f64 (.f64 l (PI.f64))) (sin.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (neg.f64 (cos.f64 (.f64 l (PI.f64)))))
(pow.f64 (tan.f64 (*.f64 l (PI.f64))) 1)
(pow.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) 1/2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3) 1/3)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (tan.f64 (*.f64 l (PI.f64)))))
(pow.f64 (/.f64 (cos.f64 (.f64 l (PI.f64))) (sin.f64 (.f64 l (PI.f64)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 l (PI.f64))))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 l (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 l (PI.f64)))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 l (PI.f64))))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 l (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 l (PI.f64))))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 l (PI.f64)))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 l (PI.f64)))))
(exp.f64 (log.f64 (tan.f64 (*.f64 l (PI.f64)))))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 l (PI.f64)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (tan.f64 (*.f64 l (PI.f64))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 l (PI.f64))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 (*.f64 l (PI.f64)))) 1) 1))
(+.f64 0 (pow.f64 (cbrt.f64 l) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 l) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 l) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 l) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 l) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 l) 2))) 1)
(*.f64 (pow.f64 (cbrt.f64 l) 2) 1)
(*.f64 (cbrt.f64 l) (cbrt.f64 l))
(*.f64 1 (pow.f64 (cbrt.f64 l) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 4) (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)))
(*.f64 (sqrt.f64 l) (pow.f64 l 1/6))
(*.f64 (pow.f64 l 1/6) (sqrt.f64 l))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 5) (cbrt.f64 (cbrt.f64 l)))
(pow.f64 l 2/3)
(pow.f64 (*.f64 l l) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 l) 2) 1)
(pow.f64 (cbrt.f64 l) 2)
(pow.f64 (pow.f64 l 3) 2/9)
(pow.f64 (pow.f64 l 4) 1/6)
(pow.f64 (pow.f64 l 6) 1/9)
(pow.f64 (*.f64 l (cbrt.f64 l)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 l)) 6)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)) 3)
(pow.f64 (sqrt.f64 l) 4/3)
(pow.f64 (pow.f64 l 1/6) 4)
(pow.f64 (exp.f64 1/3) (log.f64 (*.f64 l l)))
(pow.f64 (exp.f64 1) (*.f64 2/3 (log.f64 l)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (log.f64 l))) 2)) (cbrt.f64 (.f64 2/3 (log.f64 l))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 2/3 (log.f64 l)))) (sqrt.f64 (.f64 2/3 (log.f64 l))))
(sqrt.f64 (*.f64 l (cbrt.f64 l)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 l) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 l) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 l) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 l) 2)))
(exp.f64 (*.f64 2/3 (log.f64 l)))
(exp.f64 (.f64 (log.f64 (.f64 l l)) 1/3))
(exp.f64 (.f64 (.f64 2/3 (log.f64 l)) 1))
(exp.f64 (*.f64 (log.f64 l) 2/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 l)) 2))
(exp.f64 (.f64 (.f64 1/3 (*.f64 2/3 (log.f64 l))) 3))
(exp.f64 (.f64 (.f64 (log.f64 l) 1) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 l) 2) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 l l)) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 l l)) 1/3) 1))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 l)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 l) 1/3) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 l)) 1) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 l) 1/3) (log.f64 (cbrt.f64 l))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 l)) 1) (log.f64 (cbrt.f64 l))))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 l)) (*.f64 (log.f64 l) 1/3)))
(exp.f64 (+.f64 (.f64 (log.f64 l) 1/3) (.f64 (log.f64 l) 1/3)))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 l)) 1) (.f64 (log.f64 l) 1/3)))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 l)) (*.f64 (log.f64 (cbrt.f64 l)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 l) 1/3) (.f64 (log.f64 (cbrt.f64 l)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 l)) 1) (.f64 (log.f64 (cbrt.f64 l)) 1)))
(+.f64 0 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 l (PI.f64)))) (pow.f64 F -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 l (PI.f64)))) (pow.f64 F -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 l (PI.f64)))) (pow.f64 F -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 l (PI.f64)))) (pow.f64 F -2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))) 1)
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F -2)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (pow.f64 F -2) (sin.f64 (.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(pow.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)) 1)
(pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 2) (pow.f64 F -4)) 1/2)
(pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 3) (pow.f64 F -6)) 1/3)
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))) 3)
(pow.f64 (.f64 (sqrt.f64 (tan.f64 (.f64 l (PI.f64)))) (/.f64 1 F)) 2)
(pow.f64 (exp.f64 1) (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (*.f64 l (PI.f64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (.f64 l (PI.f64)))))) 2)) (cbrt.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (.f64 l (PI.f64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (.f64 l (PI.f64))))))) (sqrt.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (.f64 l (PI.f64)))))))
(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 l (PI.f64)))) (pow.f64 F -2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2)))))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 l (PI.f64))) 3) (pow.f64 F -6)))
(expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))))
(log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F -2))))
(exp.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (*.f64 l (PI.f64))))))
(exp.f64 (.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (.f64 l (PI.f64))))) 1))
(exp.f64 (.f64 (.f64 3 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (*.f64 l (PI.f64)))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (tan.f64 (*.f64 l (PI.f64)))) (/.f64 1 F))) 2))
(exp.f64 (.f64 (.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (*.f64 l (PI.f64))))) 1) 1))
(exp.f64 (+.f64 (.f64 (log.f64 (tan.f64 (.f64 l (PI.f64)))) 1) (*.f64 -2 (log.f64 F))))
(exp.f64 (+.f64 (log.f64 (tan.f64 (.f64 l (PI.f64)))) (.f64 (*.f64 -2 (log.f64 F)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (tan.f64 (.f64 l (PI.f64)))) 1) (.f64 (.f64 -2 (log.f64 F)) 1)))
(exp.f64 (+.f64 (.f64 (.f64 -2 (log.f64 F)) 1) (log.f64 (tan.f64 (*.f64 l (PI.f64))))))
(exp.f64 (+.f64 (.f64 -2 (log.f64 F)) (.f64 (log.f64 (tan.f64 (*.f64 l (PI.f64)))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 -2 (log.f64 F)) 1) (.f64 (log.f64 (tan.f64 (.f64 l (PI.f64)))) 1)))
(+.f64 0 (cbrt.f64 l))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 l))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 l)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 l)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 l)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 l))) 1)
(*.f64 (cbrt.f64 l) 1)
(*.f64 1 (cbrt.f64 l))
(*.f64 (cbrt.f64 (cbrt.f64 l)) (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (cbrt.f64 l)))
(*.f64 (pow.f64 l 1/6) (pow.f64 l 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 l) 2))))
(pow.f64 l 1/3)
(pow.f64 (*.f64 l l) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 l) 2) 1/2)
(pow.f64 (cbrt.f64 l) 1)
(pow.f64 (pow.f64 l 3) 1/9)
(pow.f64 (pow.f64 l 6) 1/18)
(pow.f64 (cbrt.f64 (cbrt.f64 l)) 3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)) 3/2)
(pow.f64 (sqrt.f64 l) 2/3)
(pow.f64 (pow.f64 l 1/6) 2)
(pow.f64 (exp.f64 1/3) (log.f64 l))
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 l)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 l))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 l))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 l)))) (sqrt.f64 (log.f64 (cbrt.f64 l))))
(sqrt.f64 (pow.f64 (cbrt.f64 l) 2))
(fabs.f64 (cbrt.f64 l))
(log.f64 (exp.f64 (cbrt.f64 l)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 l))))
(expm1.f64 (log1p.f64 (cbrt.f64 l)))
(log1p.f64 (expm1.f64 (cbrt.f64 l)))
(exp.f64 (log.f64 (cbrt.f64 l)))
(exp.f64 (*.f64 (log.f64 l) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 l)) 1))
(exp.f64 (.f64 (log.f64 (.f64 l l)) 1/6))
(exp.f64 (.f64 (.f64 2/3 (log.f64 l)) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 l))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 l)) 2))
(exp.f64 (.f64 (.f64 (log.f64 l) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 l) 2) 1/6))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 l l)) 1) 1/6))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 l l)) 1/3) 1/2))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 l)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 l) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 l)) 1) 1))

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

eval378.0ms (0.7%)

Compiler: Compiled 23886 to 10682 computations (55.3% saved)

prune278.0ms (0.5%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	947	16	963
Fresh	10	4	14
Picked	1	0	1
Done	2	2	4
Total	960	22	982

Error

0.1b

Counts

982 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	20.3b	(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))))
	40.6b	(fma.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	39.6b	(fma.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 l l))) (cbrt.f64 l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	35.9b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
▶	26.7b	(pow.f64 (cbrt.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) 3)
▶	12.7b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	29.3b	(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) l) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
	56.6b	(/.f64 (neg.f64 (.f64 l (PI.f64))) (.f64 F F))
▶	25.6b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	39.8b	(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 (.f64 l l)) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 3))) (.f64 (pow.f64 F -2) (tan.f64 (*.f64 l (PI.f64)))))
	14.4b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) -1))
▶	20.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
	20.7b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
	20.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 l F) (PI.f64)) F))
	26.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
	56.6b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
✓	26.0b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
▶	56.6b	(.f64 l (.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
	30.5b	(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) 3)))
✓	11.7b	(*.f64 l (PI.f64))
	56.6b	(neg.f64 (.f64 (.f64 l (pow.f64 F -2)) (PI.f64)))
	47.2b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 562 to 395 computations (29.7% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 18 to 8 computations (55.6% saved)

series3.7s (7%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.3s	l	@	-inf	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
887.0ms	l	@	inf	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
754.0ms	l	@	0	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
318.0ms	l	@	-inf	(cbrt.f64 (*.f64 l (PI.f64)))
201.0ms	l	@	0	(cbrt.f64 (*.f64 l (PI.f64)))

Compiler

Compiled 306432 to 248064 computations (19% saved)

rewrite44.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`pow1_binary64`
510×	`add-log-exp_binary64`
510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
497×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	147	12
2	1445	12

Stop Event

1×	node limit

Counts

2 → 52

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

simplify43.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

593×	`unswap-sqr_binary64`
549×	`fma-def_binary64`
520×	`distribute-rgt-in_binary64`
508×	`log-prod_binary64`
489×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	633
1	232	492
2	668	351
3	3015	344

Stop Event

1×	node limit

Counts

52 → 61

Calls

Call 1

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 l (PI.f64))
✓	1.8b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)

Compiler

Compiled 20 to 11 computations (45% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	l	@	inf	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
1.0ms	l	@	0	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
1.0ms	l	@	-inf	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)

Compiler

Compiled 72 to 60 computations (16.7% saved)

rewrite43.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`pow1_binary64`
697×	`add-log-exp_binary64`
697×	`log1p-expm1-u_binary64`
697×	`expm1-log1p-u_binary64`
685×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	154	5
2	2151	5

Stop Event

1×	node limit

Counts

1 → 47

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

simplify44.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

772×	`fma-neg_binary64`
496×	`fma-def_binary64`
436×	`div-sub_binary64`
297×	`distribute-rgt-in_binary64`
288×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	587
1	274	552
2	861	548
3	4921	493

Stop Event

1×	node limit

Counts

59 → 58

Calls

Call 1

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

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (pow.f64 F -2) (neg.f64 (PI.f64)))
✓	8.7b	(.f64 l (.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))

Compiler

Compiled 25 to 14 computations (44% saved)

series10.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

Compiler

Compiled 440 to 380 computations (13.6% saved)

rewrite47.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

789×	`pow1_binary64`
729×	`add-log-exp_binary64`
727×	`log1p-expm1-u_binary64`
727×	`expm1-log1p-u_binary64`
712×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	190	19
2	2336	19

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

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

Outputs

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

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

simplify44.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

795×	`fma-def_binary64`
678×	`log-prod_binary64`
499×	`unswap-sqr_binary64`
255×	`times-frac_binary64`
228×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	868
1	250	790
2	1013	712
3	3903	712

Stop Event

1×	node limit

Counts

65 → 48

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

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

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)
✓	0.2b	(/.f64 (*.f64 l (PI.f64)) F)
	0.2b	(*.f64 (PI.f64) l)
	0.2b	(*.f64 l (PI.f64))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series11.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

Compiler

Compiled 448 to 352 computations (21.4% saved)

rewrite81.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`pow1_binary64`
830×	`add-log-exp_binary64`
830×	`log1p-expm1-u_binary64`
830×	`expm1-log1p-u_binary64`
812×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	150	19
2	2201	19

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify45.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

656×	`unswap-sqr_binary64`
627×	`associate-/r*_binary64`
417×	`associate-/r/_binary64`
354×	`*-commutative_binary64`
264×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	1377
1	530	1260
2	2256	1158

Stop Event

1×	node limit

Counts

104 → 104

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

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

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (PI.f64) F)
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) 3)
✓	5.1b	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
✓	13.1b	(cbrt.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))

Compiler

Compiled 52 to 11 computations (78.8% saved)

series5.0s (9.5%)

Counts

4 → 40

Calls

21 calls:

Time	Variable		Point	Expression
1.2s	l	@	-inf	(pow.f64 (cbrt.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) 3)
1.1s	l	@	inf	(pow.f64 (cbrt.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) 3)
831.0ms	F	@	0	(pow.f64 (cbrt.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) 3)
772.0ms	l	@	0	(pow.f64 (cbrt.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) 3)
322.0ms	l	@	-inf	(cbrt.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))

Compiler

Compiled 390364 to 310812 computations (20.4% saved)

rewrite76.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`prod-diff_binary64`
596×	`log-prod_binary64`
291×	`pow2_binary64`
232×	`fma-def_binary64`
207×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	248	52
2	3238	52

Stop Event

1×	node limit

Counts

4 → 138

Calls

Call 1

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

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

simplify118.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

466×	`associate-+l+_binary64`
355×	`associate-/r/_binary64`
327×	`associate-r_binary64`
290×	`log-prod_binary64`
275×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	403	4625
1	1060	4377
2	4322	3973

Stop Event

1×	node limit

Counts

178 → 186

Calls

Call 1

Inputs
(pow.f64 (*.f64 l (PI.f64)) 1/3)
(+.f64 (.f64 -1/3 (/.f64 (.f64 l (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2))) (pow.f64 (*.f64 l (PI.f64)) 1/3))
(+.f64 (.f64 -1/3 (/.f64 (.f64 l (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2))) (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 l 2) (.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) (pow.f64 (/.f64 1 F) 4)))) (.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2)))) (pow.f64 (*.f64 l (PI.f64)) 1/3)))
(+.f64 (.f64 -1/3 (/.f64 (.f64 l (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2))) (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 l 2) (.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) (pow.f64 (/.f64 1 F) 4)))) (.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2)))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 (/.f64 1 F) 6) (+.f64 (.f64 -1/27 (/.f64 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 3))) (.f64 2/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 l (.f64 (pow.f64 l 2) (.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) (PI.f64))))) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2) 2))))) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2))) (pow.f64 (.f64 l (PI.f64)) 1/3))))
(pow.f64 (*.f64 l (PI.f64)) 1/3)
(+.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) (.f64 -1/3 (/.f64 (.f64 l (.f64 (pow.f64 (/.f64 -1 F) 2) (PI.f64))) (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 1/3) 2))))
(+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (/.f64 -1 F) 4) (.f64 (pow.f64 l 2) (pow.f64 (.f64 l (PI.f64)) 1/3)))) (.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2)))) (+.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) (.f64 -1/3 (/.f64 (.f64 l (.f64 (pow.f64 (/.f64 -1 F) 2) (PI.f64))) (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 1/3) 2)))))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 (/.f64 -1 F) 6) (+.f64 (.f64 -1/27 (/.f64 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 3))) (.f64 2/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 l (.f64 (pow.f64 l 2) (.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) (PI.f64))))) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2) 2))))) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2))) (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (/.f64 -1 F) 4) (.f64 (pow.f64 l 2) (pow.f64 (.f64 l (PI.f64)) 1/3)))) (.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2)))) (+.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) (.f64 -1/3 (/.f64 (.f64 l (.f64 (pow.f64 (/.f64 -1 F) 2) (PI.f64))) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 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 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 -1 (.f64 l (*.f64 (pow.f64 F -2) (PI.f64))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (.f64 l (.f64 (pow.f64 F -2) (PI.f64)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (.f64 l (.f64 (pow.f64 F -2) (PI.f64)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (.f64 l (.f64 (pow.f64 F -2) (PI.f64)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 -1 (.f64 l (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64)))) (.f64 l (PI.f64)))
(+.f64 (.f64 -1 (.f64 l (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64)))) (.f64 l (PI.f64)))
(+.f64 (.f64 -1 (.f64 l (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64)))) (.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (.f64 l (.f64 (PI.f64) (pow.f64 (/.f64 -1 F) 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (.f64 l (.f64 (PI.f64) (pow.f64 (/.f64 -1 F) 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (.f64 l (.f64 (PI.f64) (pow.f64 (/.f64 -1 F) 2)))))
(.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) (pow.f64 (*.f64 l (PI.f64)) 1/3))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 l (PI.f64))) (.f64 -2/3 (.f64 l (PI.f64)))) (pow.f64 (/.f64 1 F) 2)) (.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) (pow.f64 (.f64 l (PI.f64)) 1/3)))
(+.f64 (.f64 (pow.f64 (/.f64 1 F) 4) (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 l 2) (pow.f64 (.f64 l (PI.f64)) 1/3))) (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2))) (+.f64 (.f64 (+.f64 (.f64 -2/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 l 2)) (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2))) (.f64 1/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 l 2)) (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2)))) (pow.f64 (.f64 l (PI.f64)) 1/3)) (.f64 2/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 l 2) (pow.f64 (.f64 l (PI.f64)) 1/3))) (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2)))))) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 l (PI.f64))) (.f64 -2/3 (.f64 l (PI.f64)))) (pow.f64 (/.f64 1 F) 2)) (.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) (pow.f64 (*.f64 l (PI.f64)) 1/3))))
(+.f64 (.f64 (pow.f64 (/.f64 1 F) 4) (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 l 2) (pow.f64 (.f64 l (PI.f64)) 1/3))) (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2))) (+.f64 (.f64 (+.f64 (.f64 -2/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 l 2)) (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2))) (.f64 1/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 l 2)) (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2)))) (pow.f64 (.f64 l (PI.f64)) 1/3)) (.f64 2/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 l 2) (pow.f64 (.f64 l (PI.f64)) 1/3))) (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2)))))) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 l (PI.f64))) (.f64 -2/3 (.f64 l (PI.f64)))) (pow.f64 (/.f64 1 F) 2)) (+.f64 (.f64 (pow.f64 (/.f64 1 F) 6) (+.f64 (.f64 -1/3 (+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 l (.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) (.f64 (pow.f64 l 2) (PI.f64))))) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2) 2))) (.f64 -1/27 (/.f64 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 3))))) (+.f64 (.f64 (+.f64 (.f64 2/27 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 l (.f64 (pow.f64 l 2) (.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) (PI.f64))))) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2) 2))) (.f64 -2/3 (/.f64 (.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) (+.f64 (.f64 -1/27 (/.f64 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 3))) (.f64 2/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 l (.f64 (pow.f64 l 2) (.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) (PI.f64))))) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2) 2))))) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2)))) (pow.f64 (.f64 l (PI.f64)) 1/3)) (+.f64 (.f64 2/27 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 l (.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) (.f64 (pow.f64 l 2) (PI.f64))))) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2) 2))) (.f64 -1/3 (/.f64 (.f64 l (.f64 (+.f64 (.f64 -2/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 l 2)) (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2))) (.f64 1/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 l 2)) (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2)))) (PI.f64))) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2))))))) (.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) (pow.f64 (*.f64 l (PI.f64)) 1/3)))))
(.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) (pow.f64 (*.f64 l (PI.f64)) 1/3))
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(expm1.f64 (log1p.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))))
(log1p.f64 (expm1.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))))
(exp.f64 (log.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))))
(exp.f64 (.f64 (log.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) 1))
(fma.f64 l (PI.f64) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))))
(fma.f64 (PI.f64) l (.f64 (/.f64 (neg.f64 (PI.f64)) (.f64 F F)) l))
(+.f64 0 (/.f64 (PI.f64) F))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) F))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) F)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) F)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) F)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) F))) 1)
(*.f64 (PI.f64) (/.f64 1 F))
(*.f64 (/.f64 (PI.f64) F) 1)
(*.f64 1 (/.f64 (PI.f64) F))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) F)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) F)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) F)) 2) (cbrt.f64 (/.f64 (PI.f64) F)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (/.f64 1 F)))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) F)) (sqrt.f64 (/.f64 (PI.f64) F)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 F)))
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 F)))
(*.f64 (/.f64 1 F) (PI.f64))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (PI.f64) (cbrt.f64 F)))
(*.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (PI.f64) (sqrt.f64 F)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) F))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) F))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (/.f64 (PI.f64) F)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 F)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 F)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 F)))
(pow.f64 (/.f64 (PI.f64) F) 1)
(pow.f64 (pow.f64 (/.f64 (PI.f64) F) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) F)) 3)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) F)) 2)
(pow.f64 (pow.f64 (/.f64 (PI.f64) F) 2) 1/2)
(pow.f64 (/.f64 F (PI.f64)) -1)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 3)) 1/3)
(pow.f64 (/.f64 (/.f64 F (PI.f64)) 1) -1)
(neg.f64 (/.f64 (PI.f64) (neg.f64 F)))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) F) 2))
(log.f64 (exp.f64 (/.f64 (PI.f64) F)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) F))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) F) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 3)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) F)))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) F)))
(exp.f64 (log.f64 (/.f64 (PI.f64) F)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) F)) 1))

Outputs
(pow.f64 (*.f64 l (PI.f64)) 1/3)
(cbrt.f64 (*.f64 l (PI.f64)))
(+.f64 (.f64 -1/3 (/.f64 (.f64 l (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2))) (pow.f64 (*.f64 l (PI.f64)) 1/3))
(fma.f64 -1/3 (/.f64 l (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (.f64 (PI.f64) (pow.f64 (/.f64 1 F) 2)))) (cbrt.f64 (*.f64 l (PI.f64))))
(fma.f64 -1/3 (/.f64 l (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (.f64 (PI.f64) (pow.f64 F -2)))) (cbrt.f64 (*.f64 l (PI.f64))))
(fma.f64 -1/3 (.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2)) (pow.f64 F -2)) (cbrt.f64 (.f64 l (PI.f64))))
(+.f64 (.f64 -1/3 (/.f64 (.f64 l (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2))) (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 l 2) (.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) (pow.f64 (/.f64 1 F) 4)))) (.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2)))) (pow.f64 (*.f64 l (PI.f64)) 1/3)))
(fma.f64 -1/3 (/.f64 l (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (.f64 (PI.f64) (pow.f64 (/.f64 1 F) 2)))) (fma.f64 -1/9 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 l l)) (.f64 (cbrt.f64 (.f64 l (PI.f64))) (pow.f64 (/.f64 1 F) 4))) (pow.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) 3)) (cbrt.f64 (*.f64 l (PI.f64)))))
(fma.f64 -1/3 (/.f64 l (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (.f64 (PI.f64) (pow.f64 F -2)))) (fma.f64 -1/9 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 l (.f64 l (pow.f64 (PI.f64) 2)))) (.f64 (cbrt.f64 (.f64 l (PI.f64))) (.f64 (.f64 l l) (pow.f64 (/.f64 1 F) 4)))) (cbrt.f64 (.f64 l (PI.f64)))))
(fma.f64 -1/3 (.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2)) (pow.f64 F -2)) (fma.f64 -1/9 (.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 6) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 6)) (.f64 (cbrt.f64 (.f64 l (PI.f64))) (pow.f64 F -4))) (cbrt.f64 (*.f64 l (PI.f64)))))
(+.f64 (.f64 -1/3 (/.f64 (.f64 l (.f64 (pow.f64 (/.f64 1 F) 2) (PI.f64))) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2))) (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 l 2) (.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) (pow.f64 (/.f64 1 F) 4)))) (.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2)))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 (/.f64 1 F) 6) (+.f64 (.f64 -1/27 (/.f64 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 3))) (.f64 2/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 l (.f64 (pow.f64 l 2) (.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) (PI.f64))))) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2) 2))))) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2))) (pow.f64 (.f64 l (PI.f64)) 1/3))))
(fma.f64 -1/3 (/.f64 l (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (.f64 (PI.f64) (pow.f64 (/.f64 1 F) 2)))) (fma.f64 -1/9 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 l l)) (.f64 (cbrt.f64 (.f64 l (PI.f64))) (pow.f64 (/.f64 1 F) 4))) (pow.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) 3)) (fma.f64 -1/3 (/.f64 (pow.f64 (/.f64 1 F) 6) (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (fma.f64 -1/27 (/.f64 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (pow.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) 3)) (.f64 2/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 l 3) (.f64 (PI.f64) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2)))) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) 2) 2)))))) (cbrt.f64 (.f64 l (PI.f64))))))
(fma.f64 -1/3 (/.f64 l (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (.f64 (PI.f64) (pow.f64 F -2)))) (fma.f64 -1/9 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 l (.f64 l (pow.f64 (PI.f64) 2)))) (.f64 (cbrt.f64 (.f64 l (PI.f64))) (.f64 (.f64 l l) (pow.f64 (/.f64 1 F) 4)))) (fma.f64 -1/3 (.f64 (/.f64 (pow.f64 (/.f64 1 F) 6) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2)) (fma.f64 -1/27 (/.f64 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (.f64 l (.f64 l (pow.f64 (PI.f64) 2)))) (.f64 2/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 l 3) (.f64 (PI.f64) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2)))) (pow.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) 4))))) (cbrt.f64 (*.f64 l (PI.f64))))))
(fma.f64 -1/3 (.f64 (/.f64 (pow.f64 (/.f64 1 F) 6) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2)) (fma.f64 2/9 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 l 3)) (.f64 (PI.f64) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2))) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 8)) (.f64 (/.f64 (.f64 (pow.f64 l 3) -1/27) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 6)) (pow.f64 (PI.f64) 3)))) (fma.f64 -1/3 (.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2)) (pow.f64 F -2)) (fma.f64 -1/9 (.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 6) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 6)) (.f64 (cbrt.f64 (.f64 l (PI.f64))) (pow.f64 F -4))) (cbrt.f64 (*.f64 l (PI.f64))))))
(pow.f64 (*.f64 l (PI.f64)) 1/3)
(cbrt.f64 (*.f64 l (PI.f64)))
(+.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) (.f64 -1/3 (/.f64 (.f64 l (.f64 (pow.f64 (/.f64 -1 F) 2) (PI.f64))) (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 1/3) 2))))
(fma.f64 -1/3 (/.f64 l (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (.f64 (PI.f64) (pow.f64 (/.f64 1 F) 2)))) (cbrt.f64 (*.f64 l (PI.f64))))
(fma.f64 -1/3 (/.f64 l (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (.f64 (PI.f64) (pow.f64 F -2)))) (cbrt.f64 (*.f64 l (PI.f64))))
(fma.f64 -1/3 (.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2)) (pow.f64 F -2)) (cbrt.f64 (.f64 l (PI.f64))))
(+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (/.f64 -1 F) 4) (.f64 (pow.f64 l 2) (pow.f64 (.f64 l (PI.f64)) 1/3)))) (.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2)))) (+.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) (.f64 -1/3 (/.f64 (.f64 l (.f64 (pow.f64 (/.f64 -1 F) 2) (PI.f64))) (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 1/3) 2)))))
(fma.f64 -1/3 (/.f64 l (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (.f64 (PI.f64) (pow.f64 (/.f64 1 F) 2)))) (fma.f64 -1/9 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 l l)) (.f64 (cbrt.f64 (.f64 l (PI.f64))) (pow.f64 (/.f64 1 F) 4))) (pow.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) 3)) (cbrt.f64 (*.f64 l (PI.f64)))))
(fma.f64 -1/3 (/.f64 l (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (.f64 (PI.f64) (pow.f64 F -2)))) (fma.f64 -1/9 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 l (.f64 l (pow.f64 (PI.f64) 2)))) (.f64 (cbrt.f64 (.f64 l (PI.f64))) (.f64 (.f64 l l) (pow.f64 (/.f64 1 F) 4)))) (cbrt.f64 (.f64 l (PI.f64)))))
(fma.f64 -1/3 (.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2)) (pow.f64 F -2)) (fma.f64 -1/9 (.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 6) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 6)) (.f64 (cbrt.f64 (.f64 l (PI.f64))) (pow.f64 F -4))) (cbrt.f64 (*.f64 l (PI.f64)))))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 (/.f64 -1 F) 6) (+.f64 (.f64 -1/27 (/.f64 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 3))) (.f64 2/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 l (.f64 (pow.f64 l 2) (.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) (PI.f64))))) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2) 2))))) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2))) (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (/.f64 -1 F) 4) (.f64 (pow.f64 l 2) (pow.f64 (.f64 l (PI.f64)) 1/3)))) (.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2) 2) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2)))) (+.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) (.f64 -1/3 (/.f64 (.f64 l (.f64 (pow.f64 (/.f64 -1 F) 2) (PI.f64))) (pow.f64 (pow.f64 (.f64 l (PI.f64)) 1/3) 2))))))
(fma.f64 -1/3 (/.f64 l (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (.f64 (PI.f64) (pow.f64 (/.f64 1 F) 2)))) (fma.f64 -1/9 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 l l)) (.f64 (cbrt.f64 (.f64 l (PI.f64))) (pow.f64 (/.f64 1 F) 4))) (pow.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) 3)) (fma.f64 -1/3 (/.f64 (pow.f64 (/.f64 1 F) 6) (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (fma.f64 -1/27 (/.f64 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (pow.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) 3)) (.f64 2/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 l 3) (.f64 (PI.f64) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2)))) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) 2) 2)))))) (cbrt.f64 (.f64 l (PI.f64))))))
(fma.f64 -1/3 (/.f64 l (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (.f64 (PI.f64) (pow.f64 F -2)))) (fma.f64 -1/9 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 l (.f64 l (pow.f64 (PI.f64) 2)))) (.f64 (cbrt.f64 (.f64 l (PI.f64))) (.f64 (.f64 l l) (pow.f64 (/.f64 1 F) 4)))) (fma.f64 -1/3 (.f64 (/.f64 (pow.f64 (/.f64 1 F) 6) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2)) (fma.f64 -1/27 (/.f64 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (.f64 l (.f64 l (pow.f64 (PI.f64) 2)))) (.f64 2/9 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 l 3) (.f64 (PI.f64) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2)))) (pow.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) 4))))) (cbrt.f64 (*.f64 l (PI.f64))))))
(fma.f64 -1/3 (.f64 (/.f64 (pow.f64 (/.f64 1 F) 6) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2)) (fma.f64 2/9 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 l 3)) (.f64 (PI.f64) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2))) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 8)) (.f64 (/.f64 (.f64 (pow.f64 l 3) -1/27) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 6)) (pow.f64 (PI.f64) 3)))) (fma.f64 -1/3 (.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2)) (pow.f64 F -2)) (fma.f64 -1/9 (.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 6) (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 6)) (.f64 (cbrt.f64 (.f64 l (PI.f64))) (pow.f64 F -4))) (cbrt.f64 (*.f64 l (PI.f64))))))
(*.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 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
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(.f64 (PI.f64) (-.f64 l (.f64 l (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 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
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(.f64 (/.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (PI.f64) (*.f64 F F)) 2)))
(*.f64 (/.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (/.f64 (PI.f64) F) F) 2)))
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(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
(log.f64 (pow.f64 (exp.f64 l) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
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(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
(cbrt.f64 (.f64 (pow.f64 l 3) (pow.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) 3)))
(.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) (-.f64 l (.f64 l (pow.f64 F -2))))
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(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
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(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
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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) (-.f64 l (.f64 l (pow.f64 F -2))))
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(.f64 (PI.f64) (-.f64 l (.f64 l (pow.f64 F -2))))
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(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) F))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) F)))))
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(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) F)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) F)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) F)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) F)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) F))) 1)
(/.f64 (PI.f64) F)
(*.f64 (PI.f64) (/.f64 1 F))
(/.f64 (PI.f64) F)
(*.f64 (/.f64 (PI.f64) F) 1)
(/.f64 (PI.f64) F)
(*.f64 1 (/.f64 (PI.f64) F))
(/.f64 (PI.f64) F)
(*.f64 (cbrt.f64 (/.f64 (PI.f64) F)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) F)) 2))
(/.f64 (PI.f64) F)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) F)) 2) (cbrt.f64 (/.f64 (PI.f64) F)))
(/.f64 (PI.f64) F)
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (/.f64 1 F)))
(/.f64 (PI.f64) F)
(*.f64 (sqrt.f64 (/.f64 (PI.f64) F)) (sqrt.f64 (/.f64 (PI.f64) F)))
(/.f64 (PI.f64) F)
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 F)))
(/.f64 (PI.f64) F)
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 F)))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (PI.f64) (cbrt.f64 F)))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (PI.f64) (*.f64 (pow.f64 (cbrt.f64 F) 2) (cbrt.f64 F)))
(*.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (PI.f64) (sqrt.f64 F)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) F))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 F)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 F)))
(/.f64 (PI.f64) F)
(pow.f64 (/.f64 (PI.f64) F) 1)
(/.f64 (PI.f64) F)
(pow.f64 (pow.f64 (/.f64 (PI.f64) F) 3) 1/3)
(/.f64 (PI.f64) F)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) F)) 3)
(/.f64 (PI.f64) F)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) F)) 2)
(/.f64 (PI.f64) F)
(pow.f64 (pow.f64 (/.f64 (PI.f64) F) 2) 1/2)
(/.f64 (PI.f64) F)
(pow.f64 (/.f64 F (PI.f64)) -1)
(/.f64 (PI.f64) F)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 3)) 1/3)
(/.f64 (PI.f64) F)
(pow.f64 (/.f64 (/.f64 F (PI.f64)) 1) -1)
(/.f64 (PI.f64) F)
(neg.f64 (/.f64 (PI.f64) (neg.f64 F)))
(/.f64 (PI.f64) F)
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) F) 2))
(/.f64 (PI.f64) F)
(log.f64 (exp.f64 (/.f64 (PI.f64) F)))
(/.f64 (PI.f64) F)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) F))))
(/.f64 (PI.f64) F)
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) F) 3))
(/.f64 (PI.f64) F)
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 3)))
(/.f64 (PI.f64) F)
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) F)))
(/.f64 (PI.f64) F)
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) F)))
(/.f64 (PI.f64) F)
(exp.f64 (log.f64 (/.f64 (PI.f64) F)))
(/.f64 (PI.f64) F)
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) F)) 1))
(/.f64 (PI.f64) F)

eval171.0ms (0.3%)

Compiler: Compiled 10590 to 5090 computations (51.9% saved)

prune105.0ms (0.2%)

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	530	12	542
Fresh	10	5	15
Picked	1	0	1
Done	0	6	6
Total	541	23	564

Error

0.0b

Counts

564 → 23

Alt Table

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Status	Error	Program
	39.6b	(fma.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 l l))) (cbrt.f64 l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	12.8b	(pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 3)
	35.9b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
▶	12.8b	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)) 3)
✓	12.7b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	56.6b	(/.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 F F))
▶	11.8b	(/.f64 1 (/.f64 1 (*.f64 l (PI.f64))))
✓	25.6b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
▶	20.7b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (.f64 F (/.f64 (/.f64 F l) (PI.f64))) -1))
✓	20.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
	20.7b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
▶	20.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
	12.5b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)))
	12.6b	(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
	51.4b	(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
	51.6b	(.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))))
	35.9b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
	56.6b	(.f64 (PI.f64) (.f64 (pow.f64 F -2) (neg.f64 l)))
▶	56.6b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
✓	26.0b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	56.6b	(.f64 l (.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
	30.5b	(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) 3)))
✓	11.7b	(*.f64 l (PI.f64))

Compiler

Compiled 478 to 356 computations (25.5% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

Compiler

Compiled 168 to 144 computations (14.3% saved)

rewrite44.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

569×	`pow1_binary64`
525×	`add-log-exp_binary64`
525×	`log1p-expm1-u_binary64`
525×	`expm1-log1p-u_binary64`
512×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	146	13
2	1551	13

Stop Event

1×	node limit

Counts

2 → 54

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

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

simplify46.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

719×	`unswap-sqr_binary64`
575×	`fma-neg_binary64`
555×	`fma-def_binary64`
400×	`log-div_binary64`
346×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	576
1	280	498
2	1068	435
3	6605	435

Stop Event

1×	node limit

Counts

66 → 60

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
✓	8.7b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series10.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

Compiler

Compiled 440 to 380 computations (13.6% saved)

rewrite52.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`pow1_binary64`
746×	`add-log-exp_binary64`
745×	`log1p-expm1-u_binary64`
745×	`expm1-log1p-u_binary64`
727×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	172	19
2	2501	19

Stop Event

1×	node limit

Counts

2 → 60

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

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

simplify41.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

678×	`unswap-sqr_binary64`
520×	`associate-*l/_binary64`
503×	`times-frac_binary64`
478×	`associate-/l*_binary64`
431×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	1364
1	429	1228
2	1549	1094

Stop Event

1×	node limit

Counts

96 → 89

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

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

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (*.f64 l (/.f64 (PI.f64) F)) F)
✓	0.2b	(*.f64 l (/.f64 (PI.f64) F))
	0.2b	(/.f64 (PI.f64) F)
	0.2b	(*.f64 (PI.f64) l)

Compiler

Compiled 34 to 8 computations (76.5% saved)

series10.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

Compiler

Compiled 448 to 352 computations (21.4% saved)

rewrite48.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

905×	`pow1_binary64`
840×	`add-log-exp_binary64`
840×	`log1p-expm1-u_binary64`
840×	`expm1-log1p-u_binary64`
821×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	151	19
2	2211	19

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

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

simplify56.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

693×	`fma-neg_binary64`
628×	`associate-/r*_binary64`
498×	`associate-/l/_binary64`
394×	`unswap-sqr_binary64`
318×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	1108
1	444	1108
2	1801	1108
3	7834	1108

Stop Event

1×	node limit

Counts

111 → 73

Calls

Call 1

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

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

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 46 to 13 computations (71.7% saved)

series24.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	l	@	-inf	(/.f64 (/.f64 F l) (PI.f64))
2.0ms	F	@	0	(pow.f64 (*.f64 F (/.f64 (/.f64 F l) (PI.f64))) -1)
1.0ms	l	@	-inf	(pow.f64 (*.f64 F (/.f64 (/.f64 F l) (PI.f64))) -1)
1.0ms	l	@	0	(pow.f64 (*.f64 F (/.f64 (/.f64 F l) (PI.f64))) -1)
1.0ms	F	@	inf	(pow.f64 (*.f64 F (/.f64 (/.f64 F l) (PI.f64))) -1)

Compiler

Compiled 704 to 560 computations (20.5% saved)

rewrite59.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`log-prod_binary64`
417×	`exp-prod_binary64`
336×	`pow-prod-down_binary64`
268×	`pow2_binary64`
217×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	198	30
2	2772	30

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

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

Outputs

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

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

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

simplify66.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

649×	`fma-def_binary64`
439×	`distribute-rgt-in_binary64`
416×	`distribute-lft-in_binary64`
382×	`associate-/l/_binary64`
264×	`log-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	319	2268
1	759	2208
2	2537	2208

Stop Event

1×	node limit

Counts

197 → 170

Calls

Call 1

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

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

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 34 to 16 computations (52.9% saved)

series32.5s (62%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
10.5s	l	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)) 3)
6.9s	l	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)) 3)
6.7s	l	@	0	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)) 3)
3.2s	l	@	-inf	(cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3))
2.8s	l	@	0	(cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3))

Compiler

Compiled 2228992 to 1847296 computations (17.1% saved)

rewrite45.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`pow1_binary64`
512×	`add-log-exp_binary64`
512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
499×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	190	12
2	1488	12

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

557×	`exp-sum_binary64`
426×	`fma-neg_binary64`
403×	`log-prod_binary64`
306×	`unswap-sqr_binary64`
273×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	761
1	227	638
2	734	533
3	2045	533
4	5256	533

Stop Event

1×	node limit

Counts

52 → 61

Calls

Call 1

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

eval129.0ms (0.2%)

Compiler: Compiled 8435 to 3501 computations (58.5% saved)

prune378.0ms (0.7%)

Pruning

29 alts after pruning (20 fresh and 9 done)

	Pruned	Kept	Total
New	601	9	610
Fresh	1	11	12
Picked	1	0	1
Done	1	9	10
Total	604	29	633

Error

0.0b

Counts

633 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	12.8b	(pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 3)
	35.9b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
✓	12.7b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	56.6b	(/.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 F F))
	35.9b	(/.f64 1 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) -1/2) 2))
	12.7b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 l (PI.f64)))) 3))
✓	11.8b	(/.f64 1 (/.f64 1 (*.f64 l (PI.f64))))
	11.9b	(/.f64 1 (*.f64 (/.f64 1 l) (/.f64 1 (PI.f64))))
	47.1b	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1 (*.f64 l (PI.f64))) 3)))
✓	25.6b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
✓	20.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
	20.7b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
✓	20.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
	20.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (*.f64 l (PI.f64))))))
	12.5b	(.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)))
	12.6b	(.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)))
	51.4b	(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
	11.7b	(*.f64 (/.f64 1 (/.f64 1 l)) (PI.f64))
	51.6b	(.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))))
	36.7b	(.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2)) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))
	35.9b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
	56.6b	(.f64 (PI.f64) (.f64 (pow.f64 F -2) (neg.f64 l)))
✓	56.6b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
✓	26.0b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	56.6b	(.f64 l (.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
	56.6b	(.f64 l (.f64 (/.f64 -1 F) (/.f64 (PI.f64) F)))
	56.6b	(.f64 l (.f64 (PI.f64) (/.f64 1 (*.f64 F (neg.f64 F)))))
	30.5b	(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) 3)))
✓	11.7b	(*.f64 l (PI.f64))

Compiler

Compiled 328 to 253 computations (22.9% saved)

regimes638.0ms (1.2%)

Counts

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

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

Calls

9 calls:

111.0ms	F
76.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
74.0ms	l
73.0ms	(*.f64 (PI.f64) l)
71.0ms	(*.f64 (PI.f64) l)

Results

Error	Segments	Branch
8.5b	4	`F`
0.2b	3	`l`
7.1b	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0.2b	3	`(*.f64 (PI.f64) l)`
0.2b	3	`(*.f64 (PI.f64) l)`
8.3b	4	`(/.f64 1 (*.f64 F F))`
8.3b	4	`(/.f64 1 (*.f64 F F))`
8.3b	4	`(*.f64 F F)`
8.3b	4	`(*.f64 F F)`

Compiler

Compiled 761 to 342 computations (55.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.423460325062543e-22	1.5593756817026317e-20
0.0ms	-1621102551489260500.0	-394.2918782893779

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes114.0ms (0.2%)

Counts

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

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

Calls

4 calls:

47.0ms	F
27.0ms	l
18.0ms	(*.f64 F F)
18.0ms	(*.f64 F F)

Results

Error	Segments	Branch
9.0b	5	`F`
0.2b	3	`l`
10.4b	3	`(*.f64 F F)`
10.4b	3	`(*.f64 F F)`

Compiler

Compiled 190 to 89 computations (53.2% saved)

bsearch109.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	2.362960811160544e-22	4.963646957605357e-21
71.0ms	-516012968656799200.0	-125.50700290148492

Results

67.0ms	101×	body	8192	exit
34.0ms	128×	body	256	valid
6.0ms	44×	body	256	infinite

Compiler

Compiled 181 to 126 computations (30.4% saved)

regimes137.0ms (0.3%)

Counts

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

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

Calls

4 calls:

73.0ms	F
26.0ms	l
17.0ms	(*.f64 F F)
17.0ms	(*.f64 F F)

Results

Error	Segments	Branch
9.0b	5	`F`
0.3b	3	`l`
10.4b	3	`(*.f64 F F)`
10.4b	3	`(*.f64 F F)`

Compiler

Compiled 168 to 82 computations (51.2% saved)

bsearch49.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	2.362960811160544e-22	4.963646957605357e-21
31.0ms	-516012968656799200.0	-125.50700290148492

Results

37.0ms	272×	body	256	valid
9.0ms	66×	body	256	infinite

Compiler

Compiled 361 to 252 computations (30.2% saved)

regimes105.0ms (0.2%)

Counts

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

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

Calls

4 calls:

40.0ms	F
28.0ms	l
17.0ms	(*.f64 F F)
16.0ms	(*.f64 F F)

Results

Error	Segments	Branch
9.1b	5	`F`
0.3b	3	`l`
10.4b	3	`(*.f64 F F)`
10.4b	3	`(*.f64 F F)`

Compiler

Compiled 157 to 79 computations (49.7% saved)

bsearch119.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	2.362960811160544e-22	4.963646957605357e-21
100.0ms	-516012968656799200.0	-125.50700290148492

Results

97.0ms	101×	body	8192	exit
16.0ms	128×	body	256	valid
3.0ms	26×	body	256	infinite

Compiler

Compiled 181 to 126 computations (30.4% saved)

regimes127.0ms (0.2%)

Counts

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

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

Calls

4 calls:

56.0ms	l
37.0ms	F
16.0ms	(*.f64 F F)
15.0ms	(*.f64 F F)

Results

Error	Segments	Branch
9.1b	5	`F`
4.2b	5	`l`
10.4b	3	`(*.f64 F F)`
10.4b	3	`(*.f64 F F)`

Compiler

Compiled 135 to 72 computations (46.7% saved)

bsearch124.0ms (0.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	2.362960811160544e-22	4.963646957605357e-21
11.0ms	-4.365479631032349e-233	-1.1684151122651626e-233
19.0ms	-3.0051852856750245e-210	-1.0759893104487025e-218
72.0ms	-516012968656799200.0	-125.50700290148492

Results

67.0ms	101×	body	8192	exit
43.0ms	352×	body	256	valid
9.0ms	40×	body	256	infinite

Compiler

Compiled 487 to 342 computations (29.8% saved)

regimes176.0ms (0.3%)

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

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

Calls

4 calls:

72.0ms	F
50.0ms	(*.f64 F F)
28.0ms	l
23.0ms	(*.f64 F F)

Results

Error	Segments	Branch
9.1b	5	`F`
10.0b	3	`l`
10.4b	3	`(*.f64 F F)`
10.4b	3	`(*.f64 F F)`

Compiler

Compiled 126 to 69 computations (45.2% saved)

bsearch310.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
51.0ms	9.334758327062845e-141	1.1672946589574783e-132
168.0ms	2.9034747304659903e-235	4.743074911305271e-225
51.0ms	-1.1164719740708107e-190	-6.09003107682573e-191
41.0ms	-1.209003792001582e-123	-1.106939651931569e-127

Results

174.0ms	159×	body	2048	valid
73.0ms	154×	body	1024	valid
37.0ms	183×	body	256	valid
6.0ms	47×	body	256	infinite

Compiler

Compiled 604 to 473 computations (21.7% saved)

regimes23.0ms (0%)

Counts

5 → 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 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))

Outputs
(-.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:

8.0ms	(*.f64 F F)
6.0ms	F
4.0ms	l

Results

Error	Segments	Branch
11.7b	1	`F`
11.7b	1	`l`
10.4b	3	`(*.f64 F F)`

Compiler

Compiled 45 to 28 computations (37.8% saved)

bsearch106.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	2.066384973449561e-280	1.3625768208306555e-264
49.0ms	3.026201082181209e-293	9.145348336429175e-293

Results

47.0ms	86×	body	1024	valid
43.0ms	40×	body	2048	valid
13.0ms	114×	body	256	valid

Compiler

Compiled 266 to 214 computations (19.5% saved)

regimes11.0ms (0%)

Accuracy

Total -14.1b remaining (-121%)

Threshold costs -14.1b (-121%)

Counts

4 → 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))))

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

Calls

2 calls:

6.0ms	F
4.0ms	l

Results

Error	Segments	Branch
11.7b	1	`F`
11.7b	1	`l`

Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify17.0ms (0%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
21×	`+-commutative_binary64`
20×	`sub-neg_binary64`
15×	`neg-sub0_binary64`
15×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	368
1	119	368
2	156	368
3	194	368
4	215	368
5	221	368
6	222	368

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) -1000000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 5316911983139663/5316911983139663491615228241121378304) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F)) (.f64 l (PI.f64))))
(if (<=.f64 l -8447236407471207/1048576) (.f64 l (PI.f64)) (if (<=.f64 l 814152147418261/166153499473114484112975882535043072) (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 l F) (PI.f64)) F)) (.f64 l (PI.f64))))
(if (<=.f64 l -47000) (.f64 l (PI.f64)) (if (<=.f64 l 814152147418261/166153499473114484112975882535043072) (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F)) (.f64 l (PI.f64))))
(if (<=.f64 l -8447236407471207/1048576) (.f64 l (PI.f64)) (if (<=.f64 l 814152147418261/166153499473114484112975882535043072) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (<=.f64 l -8447236407471207/1048576) (.f64 l (PI.f64)) (if (<=.f64 l -2384667789773889/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (if (<=.f64 l -2349285087062399/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608) (.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F)) (if (<=.f64 l 814152147418261/166153499473114484112975882535043072) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (*.f64 l (PI.f64))))))
(if (<=.f64 F -2191168721230097/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464) (.f64 l (PI.f64)) (if (<=.f64 F -8828963457799089/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816) (.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F)) (if (<=.f64 F 7834916958633829/1667003608219963568519962947680314449286189580578977040099064452941009309454408017880358050217888572685732477648358310111472200413529841270090839013082707511523789394878503639615769571477953506182241254033971650495422687009369115322790969344) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 F 965362170955867/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F)) (*.f64 l (PI.f64))))))
(if (<=.f64 (.f64 F F) 7640195823164843/89884656743115795386465259539451236680898848947115328636715040578866337902750481566354238661203768010560056939935696678829394884407208311246423715319737062188883946712432742638151109800623047059726541476042502884419075341171231440736956555270413618581675255342293149119973622969239858152417678164812112068608) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 6423913044624023/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328) (.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) -1000000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 5316911983139663/5316911983139663491615228241121378304) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F)) (.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) -1000000000000000000) (.f64 (PI.f64) l) (if (<=.f64 (.f64 (PI.f64) l) 5316911983139663/5316911983139663491615228241121378304) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)) (.f64 (PI.f64) l)))
(if (<=.f64 l -8447236407471207/1048576) (.f64 l (PI.f64)) (if (<=.f64 l 814152147418261/166153499473114484112975882535043072) (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 l F) (PI.f64)) F)) (.f64 l (PI.f64))))
(if (<=.f64 l -8447236407471207/1048576) (.f64 (PI.f64) l) (if (<=.f64 l 814152147418261/166153499473114484112975882535043072) (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F)) (.f64 (PI.f64) l)))
(if (<=.f64 l -47000) (.f64 l (PI.f64)) (if (<=.f64 l 814152147418261/166153499473114484112975882535043072) (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F)) (.f64 l (PI.f64))))
(if (<=.f64 l -47000) (.f64 (PI.f64) l) (if (<=.f64 l 814152147418261/166153499473114484112975882535043072) (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F)) (.f64 (PI.f64) l)))
(if (<=.f64 l -8447236407471207/1048576) (.f64 l (PI.f64)) (if (<=.f64 l 814152147418261/166153499473114484112975882535043072) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (<=.f64 l -8447236407471207/1048576) (.f64 (PI.f64) l) (if (<=.f64 l 814152147418261/166153499473114484112975882535043072) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l F) (/.f64 (PI.f64) F))) (.f64 (PI.f64) l)))
(if (<=.f64 l -8447236407471207/1048576) (.f64 l (PI.f64)) (if (<=.f64 l -2384667789773889/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (if (<=.f64 l -2349285087062399/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608) (.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F)) (if (<=.f64 l 814152147418261/166153499473114484112975882535043072) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (*.f64 l (PI.f64))))))
(if (<=.f64 l -8447236407471207/1048576) (.f64 (PI.f64) l) (if (<=.f64 l -2384667789773889/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (if (<=.f64 l -2349285087062399/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608) (.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F)) (if (<=.f64 l 814152147418261/166153499473114484112975882535043072) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (*.f64 (PI.f64) l)))))
(if (<=.f64 l -8447236407471207/1048576) (.f64 (PI.f64) l) (if (<=.f64 l -2384667789773889/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (if (<=.f64 l -2349285087062399/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608) (.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F)) (if (<=.f64 l 814152147418261/166153499473114484112975882535043072) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (*.f64 (PI.f64) l)))))
(if (<=.f64 F -2191168721230097/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464) (.f64 l (PI.f64)) (if (<=.f64 F -8828963457799089/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816) (.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F)) (if (<=.f64 F 7834916958633829/1667003608219963568519962947680314449286189580578977040099064452941009309454408017880358050217888572685732477648358310111472200413529841270090839013082707511523789394878503639615769571477953506182241254033971650495422687009369115322790969344) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 F 965362170955867/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F)) (*.f64 l (PI.f64))))))
(if (<=.f64 F -2191168721230097/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464) (.f64 (PI.f64) l) (if (<=.f64 F -8828963457799089/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816) (.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F)) (if (<=.f64 F 7834916958633829/1667003608219963568519962947680314449286189580578977040099064452941009309454408017880358050217888572685732477648358310111472200413529841270090839013082707511523789394878503639615769571477953506182241254033971650495422687009369115322790969344) (+.f64 (+.f64 (.f64 (PI.f64) l) 1) -1) (if (<=.f64 F 965362170955867/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F)) (*.f64 (PI.f64) l)))))
(if (<=.f64 F -2191168721230097/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464) (.f64 (PI.f64) l) (if (<=.f64 F -8828963457799089/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816) (.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F)) (if (<=.f64 F 7834916958633829/1667003608219963568519962947680314449286189580578977040099064452941009309454408017880358050217888572685732477648358310111472200413529841270090839013082707511523789394878503639615769571477953506182241254033971650495422687009369115322790969344) (+.f64 (+.f64 (.f64 (PI.f64) l) 1) -1) (if (<=.f64 F 965362170955867/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F)) (*.f64 (PI.f64) l)))))
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(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

Compiler

Compiled 246 to 125 computations (49.2% saved)

soundness46.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

297×	`fma-def_binary64`
157×	`fma-neg_binary64`
49×	`cancel-sign-sub-inv_binary64`
38×	`associate-/l*_binary64`
33×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	25	20
2	57	20
3	139	20
4	236	20
5	375	20
6	501	20
7	641	20
8	833	20
9	1103	20
10	1157	20

Stop Event

1×

saturated

Compiler

Compiled 46 to 28 computations (39.1% saved)

end73.0ms (0.1%)

Compiler: Compiled 232 to 88 computations (62.1% saved)