Details

analyze1.1s (14%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.2%	0.1%	7
18.7%	81.2%	0.1%	8
29.7%	69.5%	0.9%	9
30.4%	67.9%	1.7%	10
36.3%	61.1%	2.6%	11
36.9%	59.5%	3.6%	12
39.9%	55.9%	4.2%	13
40.2%	54.9%	4.9%	14

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample3.6s (47.2%)

Results

1.4s	1035×	body	2048	valid
994.0ms	1926×	body	1024	valid
579.0ms	4142×	body	128	valid
282.0ms	758×	body	512	valid
236.0ms	64×	body	4096	valid
85.0ms	331×	body	256	valid
27.0ms	189×	body	128	invalid
6.0ms	9×	body	2048	invalid
4.0ms	5×	body	8192	exit

preprocess66.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

816×	`fma-def_binary64`
780×	`fma-neg_binary64`
432×	`times-frac_binary64`
354×	`div-sub_binary64`
199×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	43	40
2	103	40
3	265	40
4	450	40
5	730	40
6	998	40
7	1398	40
8	2553	40
9	4219	40
10	4830	40
11	4880	40
12	4910	40
13	4924	40
0	2	2

Stop Event

1×	saturated
1×	node limit

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 16 to 10 computations (37.5% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	25	20
2	56	20
3	138	20
4	233	20
5	371	20
6	497	20
7	637	20
8	804	20
9	1074	20
10	1128	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)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

14.4b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	14.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 60 to 36 computations (40% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	0.2b	(*.f64 (PI.f64) l)
✓	3.8b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	29.2b	(tan.f64 (*.f64 (PI.f64) l))

series15.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

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

rewrite83.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary64`
276×	`fma-def_binary64`
187×	`expm1-udef_binary64`
187×	`log1p-udef_binary64`
158×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	45
1	200	45
2	2885	45

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

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

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

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary64`
483×	`associate-l_binary64`
329×	`associate-/l*_binary64`
303×	`times-frac_binary64`
167×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	2029
1	326	1943
2	1209	1830

Stop Event

1×	node limit

Counts

269 → 228

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (.f64 -1/720 (pow.f64 (PI.f64) 7))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 l (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 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(+.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))))
(+.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (.f64 (pow.f64 l 5) (-.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2)))) (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2)))))))
(+.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (+.f64 (.f64 (pow.f64 l 7) (-.f64 (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2))))) (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))))) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (.f64 (pow.f64 l 5) (-.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2)))) (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))))))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))

Outputs
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(fma.f64 l (PI.f64) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3)))
(fma.f64 l (PI.f64) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 l 3))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3))))
(fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 (pow.f64 (PI.f64) 2) -1/2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 l 3)))))
(fma.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3) (fma.f64 l (PI.f64) (.f64 (pow.f64 l 5) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4)) -1/6)))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (.f64 -1/720 (pow.f64 (PI.f64) 7))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(fma.f64 l (PI.f64) (fma.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3)))))
(fma.f64 l (PI.f64) (fma.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 4))) (fma.f64 (.f64 -1/2 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 (pow.f64 (PI.f64) 2) -1/2)))) (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 5) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 (pow.f64 (PI.f64) 2) -1/2))) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 l 3))))))
(fma.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 4)) -1/6))) (fma.f64 (pow.f64 (PI.f64) 7) -1/720 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 3) 1/72))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3) (fma.f64 l (PI.f64) (.f64 (pow.f64 l 5) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 4)) -1/6))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(.f64 (/.f64 (PI.f64) (.f64 F F)) l)
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (.f64 (/.f64 (PI.f64) (*.f64 F F)) l))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(fma.f64 (pow.f64 l 5) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) F))))) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(fma.f64 (pow.f64 l 5) (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 4)) -1/6)) (.f64 F F)) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (-.f64 (/.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (.f64 F F)) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 4))))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))))
(fma.f64 (pow.f64 l 5) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) F))))) (fma.f64 (pow.f64 l 7) (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) 7) F) F) 1/840) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 (pow.f64 (PI.f64) 2) -1/2))) (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) F))) (.f64 (/.f64 (.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) 1/3) F) (/.f64 (pow.f64 (PI.f64) 4) F)))) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))
(fma.f64 (pow.f64 l 5) (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 4)) -1/6)) (.f64 F F)) (fma.f64 (pow.f64 l 7) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) 1/840) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 4)) -1/6)) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 4) F) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/72) F)))) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (.f64 (/.f64 (PI.f64) (*.f64 F F)) l))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)
(*.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 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(+.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) -1/3)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) -1/3) (.f64 F F))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) -1/3) (pow.f64 l 3)) (.f64 F F)))
(+.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (.f64 (pow.f64 l 5) (-.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2)))) (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2)))))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) -1/3) (.f64 (pow.f64 l 5) (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))))) (.f64 -1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)))))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (fma.f64 (pow.f64 l 5) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) F))) (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/120))) (.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) -1/3) (.f64 F F)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (fma.f64 (pow.f64 l 5) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 4) F) (/.f64 -1/6 (/.f64 F (PI.f64)))) (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) 1/30)) (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) -1/3) (pow.f64 l 3)) (*.f64 F F))))
(+.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (+.f64 (.f64 (pow.f64 l 7) (-.f64 (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2))))) (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))))) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (.f64 (pow.f64 l 5) (-.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2)))) (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))))))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (fma.f64 (pow.f64 l 7) (+.f64 (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 4)))))) (.f64 1/5040 (/.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 (pow.f64 l 5) (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))))) (.f64 -1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F))))))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (fma.f64 (pow.f64 l 7) (+.f64 (fma.f64 -1/720 (/.f64 (/.f64 (pow.f64 (PI.f64) 7) F) F) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 (pow.f64 (PI.f64) 2) -1/2))) (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) F))) (.f64 (/.f64 (.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) 1/3) F) (/.f64 (pow.f64 (PI.f64) 4) F)))) (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) 7) F) F) 1/5040)) (fma.f64 (pow.f64 l 5) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) F))) (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/120))) (.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) -1/3) (.f64 F F))))))
(fma.f64 (pow.f64 l 7) (+.f64 (fma.f64 -1/2 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 4)) -1/6)) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 4) F) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/72) F))) (.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) -1/840)) (fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (fma.f64 (pow.f64 l 5) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 4) F) (/.f64 -1/6 (/.f64 F (PI.f64)))) (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) 1/30)) (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) -1/3) (pow.f64 l 3)) (*.f64 F F)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F))))
(/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))

eval94.0ms (1.2%)

Compiler: Compiled 6401 to 2935 computations (54.1% saved)

prune743.0ms (9.7%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	223	21	244
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	225	21	246

Error

10.3b

Counts

246 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	43.7b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (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)))
	19.3b	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
	36.7b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
	18.7b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	23.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))))) (.f64 F F)))
	14.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	21.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	27.7b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	38.8b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	52.7b	(/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
	39.8b	(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2)
	10.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)))
	40.8b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	45.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) l) 3) 1/3)) (*.f64 F F)))
	35.5b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) (-.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))
	26.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
▶	10.5b	(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
	23.0b	(-.f64 (.f64 (PI.f64) l) (-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1))
	15.2b	(fma.f64 (cbrt.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	10.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	49.9b	(-.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) l) 3) 1/3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

Compiler

Compiled 840 to 512 computations (39% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 l (PI.f64))
✓	0.3b	(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
✓	29.0b	(cos.f64 (*.f64 l (PI.f64)))
✓	29.2b	(sin.f64 (*.f64 l (PI.f64)))

series12.0ms (0.2%)

Counts

4 → 24

Calls

15 calls:

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

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
252×	`prod-diff_binary64`
179×	`pow1/3_binary64`
173×	`expm1-udef_binary64`
173×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	183	29
2	2430	29

Stop Event

1×	node limit

Counts

4 → 109

Calls

Call 1

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

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

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

525×	`associate-r_binary64`
523×	`associate-l_binary64`
417×	`fma-def_binary64`
337×	`cancel-sign-sub-inv_binary64`
195×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	721
1	261	684
2	855	654
3	4271	642

Stop Event

1×	node limit

Counts

133 → 133

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

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)))
(fma.f64 l (PI.f64) (.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))))
(+.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 1/120 (.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)) (fma.f64 l (PI.f64) (.f64 -1/6 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))))
(+.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))))))
(fma.f64 l (PI.f64) (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 -1/5040 (.f64 (pow.f64 l 7) (pow.f64 (PI.f64) 7))))))
1
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)
(fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 l l)) 1)
(fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) 1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))))
(+.f64 (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 l l)) 1) (.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))
(fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 l l)) (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) 1))
(fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (.f64 -1/720 (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))) (.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 l l)) (+.f64 1 (fma.f64 -1/720 (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) (.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(+.f64 (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 l l)) (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) 1)) (.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))
(fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) 1)))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3)))
(fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) F) (.f64 (/.f64 l F) (PI.f64)))
(fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F 1/3)) (*.f64 (PI.f64) (/.f64 l F)))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2))))) (pow.f64 l 5)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3))))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (fma.f64 (-.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 (pow.f64 (PI.f64) 2) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3))))) (pow.f64 l 5) (.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3))))
(+.f64 (.f64 (/.f64 l F) (PI.f64)) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) F) (.f64 (pow.f64 l 5) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) F) (*.f64 (pow.f64 (PI.f64) 2) -1/2))))))
(fma.f64 (pow.f64 l 5) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 4) (/.f64 F (PI.f64))))) (fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F 1/3)) (*.f64 (PI.f64) (/.f64 l F))))
(fma.f64 (pow.f64 l 5) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 1/6 (/.f64 (pow.f64 (PI.f64) 5) F))) (fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F 1/3)) (*.f64 (PI.f64) (/.f64 l F))))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F)) (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2))))) (pow.f64 l 5)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (fma.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (fma.f64 1/24 (.f64 (pow.f64 (PI.f64) 4) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3)) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.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 (pow.f64 (PI.f64) 2) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3)))))))))) (pow.f64 l 7) (fma.f64 (-.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 (pow.f64 (PI.f64) 2) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3))))) (pow.f64 l 5) (.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3)))))
(+.f64 (.f64 (/.f64 l F) (PI.f64)) (fma.f64 (pow.f64 l 7) (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (fma.f64 1/24 (.f64 (pow.f64 (PI.f64) 4) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) F)) (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) F) (.f64 (pow.f64 (PI.f64) 2) -1/2)))) (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F))))) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) F) (.f64 (pow.f64 l 5) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) F) (.f64 (pow.f64 (PI.f64) 2) -1/2)))))))
(fma.f64 (pow.f64 l 7) (-.f64 (.f64 (/.f64 -1/5040 F) (pow.f64 (PI.f64) 7)) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 4) (/.f64 F (PI.f64)))))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (/.f64 F (PI.f64))) 1/72)))) (fma.f64 (pow.f64 l 5) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 4) (/.f64 F (PI.f64))))) (fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F 1/3)) (.f64 (PI.f64) (/.f64 l F)))))
(fma.f64 (pow.f64 l 7) (-.f64 (.f64 (/.f64 -1/5040 F) (pow.f64 (PI.f64) 7)) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 1/6 (/.f64 (pow.f64 (PI.f64) 5) F)))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (/.f64 F (PI.f64))) 1/72)))) (fma.f64 (pow.f64 l 5) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 1/6 (/.f64 (pow.f64 (PI.f64) 5) F))) (fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F 1/3)) (.f64 (PI.f64) (/.f64 l F)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.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 (sin.f64 (.f64 l (PI.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 (sin.f64 (.f64 l (PI.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 (sin.f64 (.f64 l (PI.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 (sin.f64 (.f64 l (PI.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 (sin.f64 (.f64 l (PI.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 (sin.f64 (.f64 l (PI.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 (sin.f64 (.f64 l (PI.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 (sin.f64 (.f64 l (PI.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 (sin.f64 (.f64 l (PI.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 (sin.f64 (.f64 l (PI.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 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))

eval56.0ms (0.7%)

Compiler: Compiled 4099 to 1446 computations (64.7% saved)

prune441.0ms (5.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	162	11	173
Fresh	15	5	20
Picked	1	0	1
Done	0	0	0
Total	178	16	194

Error

1.4b

Counts

194 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	10.5b	(-.f64 (.f64 l (PI.f64)) (/.f64 (.f64 (/.f64 1 F) (tan.f64 (*.f64 l (PI.f64)))) F))
	35.5b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) (-.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))
	34.9b	(-.f64 (cbrt.f64 (pow.f64 (.f64 l (PI.f64)) 3)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
	19.0b	(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) 1)) F)) F))
	15.2b	(fma.f64 (cbrt.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	46.0b	(-.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 3) 1/3) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
	43.7b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (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)))
	18.7b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	38.8b	(-.f64 (pow.f64 (sqrt.f64 (.f64 l (PI.f64))) 2) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
	15.3b	(-.f64 (.f64 l (PI.f64)) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
	26.2b	(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) 1))) F)) F))
	10.6b	(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 3)) F)) F))
▶	4.8b	(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1) F)) F))
	10.7b	(-.f64 (.f64 l (PI.f64)) (/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) 2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) F)) 2)) (cbrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F))) F))
	10.7b	(-.f64 (.f64 l (PI.f64)) (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) F)) 2)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cbrt.f64 (.f64 (cos.f64 (*.f64 l (PI.f64))) F)))) F))
	40.8b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))

Compiler

Compiled 852 to 516 computations (39.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 l (pow.f64 (PI.f64) 2))
✓	1.3b	(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) 1) F)) F)
✓	3.8b	(.f64 (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1) F)
	29.2b	(sin.f64 (*.f64 l (PI.f64)))

series13.0ms (0.2%)

Counts

3 → 48

Calls

15 calls:

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

rewrite75.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

301×	`prod-diff_binary64`
278×	`log1p-udef_binary64`
162×	`add-sqr-sqrt_binary64`
158×	`pow1_binary64`
157×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	56
1	332	50
2	4230	50

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify43.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

744×	`associate-l_binary64`
713×	`associate-r_binary64`
517×	`associate-/r*_binary64`
440×	`times-frac_binary64`
255×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	1621
1	263	1613
2	929	1495

Stop Event

1×	node limit

Counts

120 → 96

Calls

Call 1

Inputs
F
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))) (pow.f64 (PI.f64) 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))) (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2)))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))) (pow.f64 (PI.f64) 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(+.f64 (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)))))))
(+.f64 (.f64 -16 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8))))) (+.f64 (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))))))
(.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(+.f64 (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)))))))
(+.f64 (.f64 -16 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8))))) (+.f64 (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))

Outputs
F
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2))))
(.f64 -1/2 (.f64 (.f64 (.f64 l l) F) (pow.f64 (PI.f64) 2)))
(.f64 -1/2 (.f64 F (.f64 l (.f64 l (pow.f64 (PI.f64) 2)))))
(.f64 -1/2 (.f64 F (.f64 l (.f64 (pow.f64 (PI.f64) 2) l))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2))))
(.f64 -1/2 (.f64 (.f64 (.f64 l l) F) (pow.f64 (PI.f64) 2)))
(.f64 -1/2 (.f64 F (.f64 l (.f64 l (pow.f64 (PI.f64) 2)))))
(.f64 -1/2 (.f64 F (.f64 l (.f64 (pow.f64 (PI.f64) 2) l))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 F (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) F)
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(/.f64 l (/.f64 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 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 F F) 1/3)) (/.f64 l (/.f64 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 (pow.f64 (PI.f64) 3) (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 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))) (pow.f64 (PI.f64) 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (fma.f64 (pow.f64 l 5) (+.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3)))) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (fma.f64 (pow.f64 l 5) (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) (.f64 1/3 (pow.f64 (PI.f64) 2))) 1/2)) (.f64 (/.f64 l F) (/.f64 (PI.f64) F))))
(fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 F F) 1/3)) (fma.f64 (pow.f64 l 5) (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (*.f64 (/.f64 (pow.f64 (PI.f64) 4) (/.f64 F (/.f64 (PI.f64) F))) 1/6)) (/.f64 l (/.f64 F (/.f64 (PI.f64) F)))))
(+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))) (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2)))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))) (pow.f64 (PI.f64) 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(fma.f64 (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F))) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3))))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (fma.f64 (pow.f64 l 5) (+.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3)))) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))))
(fma.f64 (fma.f64 -1/5040 (/.f64 (/.f64 (pow.f64 (PI.f64) 7) F) F) (.f64 (.f64 1/2 (pow.f64 (PI.f64) 2)) (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) (.f64 1/3 (pow.f64 (PI.f64) 2))) 1/2)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (fma.f64 (pow.f64 l 5) (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) (.f64 1/3 (pow.f64 (PI.f64) 2))) 1/2)) (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))))
(fma.f64 (fma.f64 (.f64 1/2 (pow.f64 (PI.f64) 2)) (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 (/.f64 (pow.f64 (PI.f64) 4) (/.f64 F (/.f64 (PI.f64) F))) 1/6)) (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 F F) 1/3)) (fma.f64 (pow.f64 l 5) (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 (/.f64 (pow.f64 (PI.f64) 4) (/.f64 F (/.f64 (PI.f64) F))) 1/6)) (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))))
(.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))
(/.f64 (.f64 -2 (sin.f64 (.f64 l (PI.f64)))) (.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (.f64 F F)))
(.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (.f64 l (.f64 l (pow.f64 (PI.f64) 2)))))))
(.f64 -2 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))))
(+.f64 (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(fma.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (.f64 F F))) (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(fma.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))) (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (.f64 l (.f64 l (pow.f64 (PI.f64) 2))))))))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (+.f64 (/.f64 -2 (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) (/.f64 (/.f64 -4 (pow.f64 (PI.f64) 4)) (pow.f64 l 4))))
(+.f64 (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)))))))
(fma.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (.f64 F F))) (fma.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 (.f64 F F) (pow.f64 l 6)) (pow.f64 (PI.f64) 6))))))
(fma.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (.f64 l (.f64 l (pow.f64 (PI.f64) 2)))))) (fma.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)))))))
(fma.f64 -2 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (.f64 l (.f64 (pow.f64 (PI.f64) 2) l))) (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (+.f64 (/.f64 (/.f64 -4 (pow.f64 (PI.f64) 4)) (pow.f64 l 4)) (/.f64 -8 (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))))
(+.f64 (.f64 -16 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8))))) (+.f64 (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))))))
(fma.f64 -16 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8)))) (fma.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (.f64 F F))) (fma.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 (.f64 F F) (pow.f64 l 6)) (pow.f64 (PI.f64) 6)))))))
(fma.f64 -16 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8)))) (fma.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (.f64 l (.f64 l (pow.f64 (PI.f64) 2)))))) (fma.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))))))
(+.f64 (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (+.f64 (/.f64 -2 (.f64 l (.f64 (pow.f64 (PI.f64) 2) l))) (/.f64 (/.f64 -4 (pow.f64 (PI.f64) 4)) (pow.f64 l 4)))) (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (+.f64 (/.f64 -8 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))) (/.f64 (/.f64 -16 (pow.f64 l 8)) (pow.f64 (PI.f64) 8)))))
(.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))
(/.f64 (.f64 -2 (sin.f64 (.f64 l (PI.f64)))) (.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (.f64 F F)))
(.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (.f64 l (.f64 l (pow.f64 (PI.f64) 2)))))))
(.f64 -2 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))))
(+.f64 (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(fma.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (.f64 F F))) (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(fma.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))) (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (.f64 l (.f64 l (pow.f64 (PI.f64) 2))))))))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (+.f64 (/.f64 -2 (.f64 l (*.f64 (pow.f64 (PI.f64) 2) l))) (/.f64 (/.f64 -4 (pow.f64 (PI.f64) 4)) (pow.f64 l 4))))
(+.f64 (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)))))))
(fma.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (.f64 F F))) (fma.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 (.f64 F F) (pow.f64 l 6)) (pow.f64 (PI.f64) 6))))))
(fma.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (.f64 l (.f64 l (pow.f64 (PI.f64) 2)))))) (fma.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)))))))
(fma.f64 -2 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (.f64 l (.f64 (pow.f64 (PI.f64) 2) l))) (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (+.f64 (/.f64 (/.f64 -4 (pow.f64 (PI.f64) 4)) (pow.f64 l 4)) (/.f64 -8 (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))))
(+.f64 (.f64 -16 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8))))) (+.f64 (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))))))
(fma.f64 -16 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8)))) (fma.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (.f64 F F))) (fma.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 (.f64 F F) (pow.f64 l 6)) (pow.f64 (PI.f64) 6)))))))
(fma.f64 -16 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8)))) (fma.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (.f64 l (.f64 l (pow.f64 (PI.f64) 2)))))) (fma.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))))))
(+.f64 (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (+.f64 (/.f64 -2 (.f64 l (.f64 (pow.f64 (PI.f64) 2) l))) (/.f64 (/.f64 -4 (pow.f64 (PI.f64) 4)) (pow.f64 l 4)))) (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (+.f64 (/.f64 -8 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))) (/.f64 (/.f64 -16 (pow.f64 l 8)) (pow.f64 (PI.f64) 8)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (fma.f64 -1/2 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 F (.f64 l (.f64 (pow.f64 (PI.f64) 2) l))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (fma.f64 -1/2 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 F (.f64 l (.f64 (pow.f64 (PI.f64) 2) l))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (fma.f64 -1/2 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 F (.f64 l (.f64 (pow.f64 (PI.f64) 2) l))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (fma.f64 -1/2 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 F (.f64 l (.f64 (pow.f64 (PI.f64) 2) l))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (fma.f64 -1/2 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 F (.f64 l (.f64 (pow.f64 (PI.f64) 2) l))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (fma.f64 -1/2 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 F (.f64 l (.f64 (pow.f64 (PI.f64) 2) l))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (fma.f64 -1/2 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 F (.f64 l (.f64 (pow.f64 (PI.f64) 2) l))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (fma.f64 -1/2 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 F (.f64 l (.f64 (pow.f64 (PI.f64) 2) l))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (fma.f64 -1/2 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 F (.f64 l (.f64 (pow.f64 (PI.f64) 2) l))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (fma.f64 -1/2 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 F (.f64 l (.f64 (pow.f64 (PI.f64) 2) l))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (fma.f64 -1/2 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 F (.f64 l (.f64 (pow.f64 (PI.f64) 2) l))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (fma.f64 -1/2 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 F (.f64 l (.f64 (pow.f64 (PI.f64) 2) l))) F))

eval61.0ms (0.8%)

Compiler: Compiled 3824 to 1993 computations (47.9% saved)

prune330.0ms (4.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	3	12	15
Picked	1	0	1
Done	0	0	0
Total	126	15	141

Error

0.5b

Counts

141 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	10.5b	(-.f64 (.f64 l (PI.f64)) (/.f64 (.f64 (/.f64 1 F) (tan.f64 (*.f64 l (PI.f64)))) F))
	35.5b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) (-.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))
	34.9b	(-.f64 (cbrt.f64 (pow.f64 (.f64 l (PI.f64)) 3)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
	4.8b	(-.f64 (.f64 l (PI.f64)) (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)) (/.f64 1 F)))
	38.8b	(-.f64 (pow.f64 (sqrt.f64 (.f64 l (PI.f64))) 2) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
	15.2b	(fma.f64 (cbrt.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	46.0b	(-.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 3) 1/3) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
	43.7b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (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)))
	18.7b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	15.3b	(-.f64 (.f64 l (PI.f64)) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
	5.0b	(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 (pow.f64 (.f64 l (PI.f64)) 2) 1) F)) 3)) F))
	10.6b	(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 3)) F)) F))
▶	0.9b	(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) l))) 1) F)) F))
	10.7b	(-.f64 (.f64 l (PI.f64)) (/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) 2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) F)) 2)) (cbrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F))) F))
	40.8b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))

Compiler

Compiled 740 to 448 computations (39.5% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 l (PI.f64))
✓	2.0b	(exp.f64 (pow.f64 (PI.f64) 2))
✓	2.7b	(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) l))
	29.2b	(sin.f64 (*.f64 l (PI.f64)))

series56.0ms (0.7%)

Counts

2 → 12

Calls

3 calls:

Time	Variable		Point	Expression
37.0ms	l	@	inf	(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) l))
14.0ms	l	@	-inf	(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) l))
5.0ms	l	@	0	(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) l))

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`pow1_binary64`
615×	`add-log-exp_binary64`
615×	`log1p-expm1-u_binary64`
615×	`expm1-log1p-u_binary64`
76×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	160	15
2	1760	15

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) l))
(exp.f64 (pow.f64 (PI.f64) 2))

Outputs

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

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

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

521×	`distribute-rgt-out_binary64`
373×	`associate-l_binary64`
361×	`fma-def_binary64`
340×	`associate-r_binary64`
197×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	178
1	148	149
2	563	121
3	3517	113

Stop Event

1×	node limit

Counts

62 → 54

Calls

Call 1

Inputs
(*.f64 l (pow.f64 (PI.f64) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (+.f64 (pow.f64 (PI.f64) 4) (.f64 -1 (pow.f64 (PI.f64) 4))))) (.f64 l (pow.f64 (PI.f64) 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (+.f64 (pow.f64 (PI.f64) 4) (.f64 -1 (pow.f64 (PI.f64) 4))))) (+.f64 (.f64 l (pow.f64 (PI.f64) 2)) (.f64 1/6 (.f64 (pow.f64 l 3) (+.f64 (.f64 -3 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 2 (pow.f64 (PI.f64) 6)) (pow.f64 (PI.f64) 6)))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (+.f64 (pow.f64 (PI.f64) 4) (.f64 -1 (pow.f64 (PI.f64) 4))))) (+.f64 (.f64 1/24 (.f64 (+.f64 (pow.f64 (PI.f64) 8) (+.f64 (.f64 -3 (pow.f64 (PI.f64) 8)) (+.f64 (.f64 12 (pow.f64 (PI.f64) 8)) (+.f64 (.f64 -4 (pow.f64 (PI.f64) 8)) (.f64 -6 (pow.f64 (PI.f64) 8)))))) (pow.f64 l 4))) (+.f64 (.f64 l (pow.f64 (PI.f64) 2)) (.f64 1/6 (.f64 (pow.f64 l 3) (+.f64 (.f64 -3 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 2 (pow.f64 (PI.f64) 6)) (pow.f64 (PI.f64) 6))))))))
(*.f64 l (pow.f64 (PI.f64) 2))
(*.f64 l (pow.f64 (PI.f64) 2))
(*.f64 l (pow.f64 (PI.f64) 2))
(*.f64 l (pow.f64 (PI.f64) 2))
(*.f64 l (pow.f64 (PI.f64) 2))
(*.f64 l (pow.f64 (PI.f64) 2))
(*.f64 l (pow.f64 (PI.f64) 2))
(*.f64 l (pow.f64 (PI.f64) 2))

Outputs
(*.f64 l (pow.f64 (PI.f64) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (+.f64 (pow.f64 (PI.f64) 4) (.f64 -1 (pow.f64 (PI.f64) 4))))) (.f64 l (pow.f64 (PI.f64) 2)))
(*.f64 l (pow.f64 (PI.f64) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (+.f64 (pow.f64 (PI.f64) 4) (.f64 -1 (pow.f64 (PI.f64) 4))))) (+.f64 (.f64 l (pow.f64 (PI.f64) 2)) (.f64 1/6 (.f64 (pow.f64 l 3) (+.f64 (.f64 -3 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 2 (pow.f64 (PI.f64) 6)) (pow.f64 (PI.f64) 6)))))))
(*.f64 l (pow.f64 (PI.f64) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (+.f64 (pow.f64 (PI.f64) 4) (.f64 -1 (pow.f64 (PI.f64) 4))))) (+.f64 (.f64 1/24 (.f64 (+.f64 (pow.f64 (PI.f64) 8) (+.f64 (.f64 -3 (pow.f64 (PI.f64) 8)) (+.f64 (.f64 12 (pow.f64 (PI.f64) 8)) (+.f64 (.f64 -4 (pow.f64 (PI.f64) 8)) (.f64 -6 (pow.f64 (PI.f64) 8)))))) (pow.f64 l 4))) (+.f64 (.f64 l (pow.f64 (PI.f64) 2)) (.f64 1/6 (.f64 (pow.f64 l 3) (+.f64 (.f64 -3 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 2 (pow.f64 (PI.f64) 6)) (pow.f64 (PI.f64) 6))))))))
(fma.f64 1/2 (.f64 (.f64 0 (pow.f64 (PI.f64) 4)) (.f64 l l)) (fma.f64 1/24 (.f64 (+.f64 (pow.f64 (PI.f64) 8) (fma.f64 -3 (pow.f64 (PI.f64) 8) (fma.f64 12 (pow.f64 (PI.f64) 8) (.f64 (pow.f64 (PI.f64) 8) -10)))) (pow.f64 l 4)) (fma.f64 l (pow.f64 (PI.f64) 2) (.f64 1/6 (.f64 (pow.f64 l 3) (fma.f64 -3 (pow.f64 (PI.f64) 6) (.f64 3 (pow.f64 (PI.f64) 6))))))))
(+.f64 (.f64 l (.f64 l 0)) (fma.f64 1/24 (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 8) 2) (.f64 -2 (pow.f64 (PI.f64) 8))) (pow.f64 l 4)) (fma.f64 l (pow.f64 (PI.f64) 2) (.f64 1/6 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 6) 0))))))
(fma.f64 (+.f64 (pow.f64 (PI.f64) 8) (.f64 (pow.f64 (PI.f64) 8) -1)) (.f64 1/24 (pow.f64 l 4)) (fma.f64 l (pow.f64 (PI.f64) 2) 0))
(fma.f64 (.f64 (pow.f64 (PI.f64) 8) 0) (.f64 1/24 (pow.f64 l 4)) (*.f64 l (pow.f64 (PI.f64) 2)))
(*.f64 l (pow.f64 (PI.f64) 2))
(*.f64 l (pow.f64 (PI.f64) 2))
(*.f64 l (pow.f64 (PI.f64) 2))
(*.f64 l (pow.f64 (PI.f64) 2))
(*.f64 l (pow.f64 (PI.f64) 2))
(*.f64 l (pow.f64 (PI.f64) 2))
(*.f64 l (pow.f64 (PI.f64) 2))
(*.f64 l (pow.f64 (PI.f64) 2))

eval65.0ms (0.9%)

Compiler: Compiled 3735 to 2102 computations (43.7% saved)

prune282.0ms (3.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	119	4	123
Fresh	3	11	14
Picked	0	1	1
Done	0	0	0
Total	122	16	138

Error

0.4b

Counts

138 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	1.7b	(-.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 3) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) l))) 1) F)) F))
	31.5b	(-.f64 (cbrt.f64 (pow.f64 (.f64 l (PI.f64)) 3)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) l))) 1) F)) F))
	4.8b	(-.f64 (.f64 l (PI.f64)) (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)) (/.f64 1 F)))
	31.6b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) l))) 1) F)) F))
	15.2b	(fma.f64 (cbrt.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	46.0b	(-.f64 (pow.f64 (pow.f64 (.f64 l (PI.f64)) 3) 1/3) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
	43.7b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (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)))
	18.7b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	10.5b	(-.f64 (.f64 l (PI.f64)) (/.f64 (.f64 (/.f64 1 F) (tan.f64 (*.f64 l (PI.f64)))) F))
	15.3b	(-.f64 (.f64 l (PI.f64)) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
	5.0b	(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 (pow.f64 (.f64 l (PI.f64)) 2) 1) F)) 3)) F))
	10.6b	(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 3)) F)) F))
✓	0.9b	(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) l))) 1) F)) F))
	34.6b	(-.f64 (pow.f64 (sqrt.f64 (.f64 l (PI.f64))) 2) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) l))) 1) F)) F))
	10.7b	(-.f64 (.f64 l (PI.f64)) (/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) 2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) F)) 2)) (cbrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F))) F))
	40.8b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))

Compiler

Compiled 407 to 262 computations (35.6% saved)

regimes175.0ms (2.3%)

Accuracy

Total -62.9b remaining (-7327.2%)

Threshold costs -62.9b (-7327.2%)

Counts

41 → 1

Calls

Call 1

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

Outputs
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) l))) 1) F)) F))

Results

Time	Error	Segments	Branch
22.0ms	0.9b	1	`F`
20.0ms	0.9b	1	`l`
18.0ms	0.9b	1	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
23.0ms	0.9b	1	`(*.f64 (PI.f64) l)`
19.0ms	0.9b	1	`(*.f64 (PI.f64) l)`
13.0ms	0.9b	1	`(/.f64 1 (*.f64 F F))`
14.0ms	0.9b	1	`(*.f64 F F)`
24.0ms	0.9b	1	`(*.f64 F F)`

Compiler

Compiled 904 to 392 computations (56.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	41
1	26	41
2	32	41
3	38	41
4	43	41
5	46	41
6	47	41

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) l))) 1) F)) F))

Outputs
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) l))) 1) F)) F))

end25.0ms (0.3%)

Stop Event

1×

fuel

Compiler

Compiled 54 to 36 computations (33.3% saved)

Details

analyze1.1s (14%)

sample3.6s (47.2%)

preprocess66.0ms (0.9%)

simplify18.0ms (0.2%)

eval1.0ms (0%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series15.0ms (0.2%)

rewrite83.0ms (1.1%)

simplify51.0ms (0.7%)

eval94.0ms (1.2%)

prune743.0ms (9.7%)

localize10.0ms (0.1%)

series12.0ms (0.2%)

rewrite56.0ms (0.7%)

simplify45.0ms (0.6%)

eval56.0ms (0.7%)

prune441.0ms (5.8%)

localize15.0ms (0.2%)

series13.0ms (0.2%)

rewrite75.0ms (1%)

simplify43.0ms (0.6%)

eval61.0ms (0.8%)

prune330.0ms (4.3%)

localize16.0ms (0.2%)

series56.0ms (0.7%)

rewrite61.0ms (0.8%)

simplify42.0ms (0.5%)

eval65.0ms (0.9%)

prune282.0ms (3.7%)

regimes175.0ms (2.3%)

simplify3.0ms (0%)

end25.0ms (0.3%)

Profiling