Details

analyze1.5s (18.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
18.7%	81.1%	0.2%	10
18.7%	72.9%	8.4%	11
18.7%	72.9%	8.4%	12
28.1%	62.2%	9.7%	13
32.7%	56.8%	10.4%	14

Compiler

Compiled 20 to 15 computations (25% saved)

sample5.3s (63.6%)

Results

1.3s	1746×	body	1024	valid
1.3s	1953×	body	1024	invalid
797.0ms	4550×	body	128	valid
595.0ms	1264×	body	512	valid
484.0ms	2915×	body	128	invalid
402.0ms	984×	body	512	invalid
213.0ms	650×	body	256	valid
159.0ms	450×	body	256	invalid
68.0ms	46×	body	2048	valid

Compiler

Compiled 40 to 30 computations (25% saved)

preprocess61.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

672×	`fma-def_binary64`
472×	`associate-l_binary64`
454×	`associate-r_binary64`
251×	`unsub-neg_binary64`
219×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	154
1	113	154
2	244	154
3	610	154
4	1668	154
5	4483	154
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 l (-.f64 (exp.f64 J) (exp.f64 (neg.f64 J)))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 K (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 J 2))) U)
(+.f64 (.f64 (.f64 U (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) J)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 K) (exp.f64 (neg.f64 K)))) (cos.f64 (/.f64 l 2))) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 U) (exp.f64 (neg.f64 U)))) (cos.f64 (/.f64 K 2))) l)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 U 2))) K)

Outputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
(fma.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)) U)
(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 l (-.f64 (exp.f64 J) (exp.f64 (neg.f64 J)))) (cos.f64 (/.f64 K 2))) U)
(fma.f64 (*.f64 l (-.f64 (exp.f64 J) (exp.f64 (neg.f64 J)))) (cos.f64 (/.f64 K 2)) U)
(fma.f64 l (*.f64 (cos.f64 (/.f64 K 2)) (-.f64 (exp.f64 J) (exp.f64 (neg.f64 J)))) U)
(fma.f64 (-.f64 (exp.f64 J) (exp.f64 (neg.f64 J))) (*.f64 l (cos.f64 (/.f64 K 2))) U)
(fma.f64 (cos.f64 (/.f64 K 2)) (*.f64 l (-.f64 (exp.f64 J) (exp.f64 (neg.f64 J)))) U)
(+.f64 (.f64 (.f64 K (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 J 2))) U)
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) K) (cos.f64 (/.f64 J 2)) U)
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 K (cos.f64 (/.f64 J 2))) U)
(+.f64 (.f64 (.f64 U (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) J)
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) (cos.f64 (/.f64 K 2)) J)
(fma.f64 (cos.f64 (/.f64 K 2)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) J)
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (cos.f64 (/.f64 K 2)) U) J)
(fma.f64 U (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) J)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 K) (exp.f64 (neg.f64 K)))) (cos.f64 (/.f64 l 2))) U)
(fma.f64 (*.f64 J (-.f64 (exp.f64 K) (exp.f64 (neg.f64 K)))) (cos.f64 (/.f64 l 2)) U)
(fma.f64 J (*.f64 (-.f64 (exp.f64 K) (exp.f64 (neg.f64 K))) (cos.f64 (/.f64 l 2))) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 U) (exp.f64 (neg.f64 U)))) (cos.f64 (/.f64 K 2))) l)
(fma.f64 (*.f64 J (-.f64 (exp.f64 U) (exp.f64 (neg.f64 U)))) (cos.f64 (/.f64 K 2)) l)
(fma.f64 J (*.f64 (cos.f64 (/.f64 K 2)) (-.f64 (exp.f64 U) (exp.f64 (neg.f64 U)))) l)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 U 2))) K)
(fma.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 U 2)) K)
(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 U 2))) K)
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (cos.f64 (/.f64 U 2))) K)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

745×	`fma-def_binary64`
464×	`fma-neg_binary64`
394×	`times-frac_binary64`
314×	`associate-l_binary64`
236×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	22
1	29	22
2	55	22
3	121	22
4	306	22
5	771	22
6	2013	22
7	3835	22

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

Outputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
(fma.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)) U)
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (cos.f64 (/.f64 K 2))) U)
(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

20.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	20.2b	(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 69 to 45 computations (34.8% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
✓	0.0b	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))
✓	3.7b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series20.0ms (0.2%)

Counts

3 → 80

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	K	@	0	(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
2.0ms	U	@	0	(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
1.0ms	K	@	0	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))
1.0ms	K	@	inf	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))
1.0ms	J	@	0	(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)

rewrite117.0ms (1.4%)

Algorithm

3×	egg-rewrite-iter-limit
3×	egg-rewrite
1×	batch-egg-rewrite

Rules

153×	`add-sqr-sqrt_binary64`
153×	`add-sqr-sqrt_binary64`
146×	`*-un-lft-identity_binary64`
146×	`pow1_binary64`
146×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	295	30
2	4421	30
0	6	6
1	130	6
2	2149	6
0	6	6
0	11	14
1	236	14
2	3626	14
0	11	14
0	14	18
1	295	18
2	4429	18
0	14	18

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

3 → 29

Calls

Call 1

Inputs
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))
(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 2 (sinh.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (sinh.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 l) 3) (pow.f64 (exp.f64 (neg.f64 l)) 3)) (+.f64 (.f64 (exp.f64 l) (exp.f64 l)) (+.f64 (.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l))) (.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 l) (exp.f64 l)) (.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l)))) (+.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (sinh.f64 l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 2 (sinh.f64 l))) (.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2 (sinh.f64 l))))))))
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))) (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) U)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U)) (cbrt.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U))) (cbrt.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U)) (sqrt.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U) (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U)) (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U)))))))

Outputs

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

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

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

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-l_binary64`
443×	`associate-r_binary64`
378×	`cancel-sign-sub-inv_binary64`
357×	`associate--l+_binary64`
302×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	2305
1	537	1898
2	1648	1845

Stop Event

1×	node limit

Counts

109 → 81

Calls

Call 1

Inputs
(*.f64 2 l)
(+.f64 (.f64 2 l) (.f64 1/3 (pow.f64 l 3)))
(+.f64 (.f64 2 l) (+.f64 (.f64 1/60 (pow.f64 l 5)) (*.f64 1/3 (pow.f64 l 3))))
(+.f64 (.f64 1/2520 (pow.f64 l 7)) (+.f64 (.f64 2 l) (+.f64 (.f64 1/60 (pow.f64 l 5)) (.f64 1/3 (pow.f64 l 3)))))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))))
(+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K))))))
(+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))) (cos.f64 (*.f64 1/2 K)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (+.f64 (.f64 1/8 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 K 2))) (exp.f64 l)) (+.f64 (exp.f64 (neg.f64 l)) (.f64 1/8 (.f64 (pow.f64 K 2) (exp.f64 l)))))
(-.f64 (+.f64 (.f64 1/8 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 K 2))) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (exp.f64 l))) (exp.f64 l))) (+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 1/384 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 K 4))) (.f64 1/8 (.f64 (pow.f64 K 2) (exp.f64 l))))))
(-.f64 (+.f64 (.f64 1/8 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 K 2))) (+.f64 (.f64 1/46080 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 K 6))) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (exp.f64 l))) (exp.f64 l)))) (+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 1/46080 (.f64 (pow.f64 K 6) (exp.f64 l))) (+.f64 (.f64 1/384 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 K 4))) (.f64 1/8 (.f64 (pow.f64 K 2) (exp.f64 l)))))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
U
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K)))))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K)))))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 1/2 K)))) J)
(-.f64 (+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K)))))
(-.f64 (+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K)))))
(-.f64 (+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 -1 (.f64 (-.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 K))) (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) J))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
U
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (.f64 (cos.f64 (.f64 1/2 K)) J))) (+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U))
(+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) (.f64 J (cos.f64 (.f64 1/2 K))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (.f64 J (cos.f64 (.f64 1/2 K))))) (+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (.f64 (exp.f64 (.f64 -1 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (.f64 (exp.f64 (.f64 -1 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (.f64 (exp.f64 (.f64 -1 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (.f64 (exp.f64 (.f64 -1 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 U (.f64 (exp.f64 l) J)) (.f64 (exp.f64 (neg.f64 l)) J))
(-.f64 (+.f64 (.f64 J (exp.f64 l)) (+.f64 (.f64 1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 2) J))) U)) (+.f64 (.f64 1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 l) J))) (.f64 (exp.f64 (neg.f64 l)) J)))
(-.f64 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 J (exp.f64 l)))) (+.f64 (.f64 J (exp.f64 l)) (+.f64 (.f64 1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 2) J))) U))) (+.f64 (.f64 1/384 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 4) J))) (+.f64 (.f64 (exp.f64 (neg.f64 l)) J) (.f64 1/8 (.f64 (pow.f64 K 2) (.f64 J (exp.f64 l)))))))
(-.f64 (+.f64 (.f64 J (exp.f64 l)) (+.f64 (.f64 1/46080 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 6) J))) (+.f64 U (+.f64 (.f64 1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 2) J))) (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 (exp.f64 l) J))))))) (+.f64 (.f64 1/46080 (.f64 (pow.f64 K 6) (.f64 (exp.f64 l) J))) (+.f64 (.f64 1/384 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 4) J))) (+.f64 (.f64 (exp.f64 (neg.f64 l)) J) (.f64 1/8 (.f64 (pow.f64 K 2) (.f64 J (exp.f64 l))))))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
U
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
U
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))

Outputs
(*.f64 2 l)
(+.f64 (.f64 2 l) (.f64 1/3 (pow.f64 l 3)))
(fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))
(fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l))
(+.f64 (.f64 2 l) (+.f64 (.f64 1/60 (pow.f64 l 5)) (*.f64 1/3 (pow.f64 l 3))))
(fma.f64 2 l (fma.f64 1/60 (pow.f64 l 5) (*.f64 1/3 (pow.f64 l 3))))
(fma.f64 2 l (fma.f64 1/3 (pow.f64 l 3) (*.f64 1/60 (pow.f64 l 5))))
(+.f64 (.f64 1/2520 (pow.f64 l 7)) (+.f64 (.f64 2 l) (+.f64 (.f64 1/60 (pow.f64 l 5)) (.f64 1/3 (pow.f64 l 3)))))
(fma.f64 1/2520 (pow.f64 l 7) (fma.f64 2 l (fma.f64 1/60 (pow.f64 l 5) (*.f64 1/3 (pow.f64 l 3)))))
(fma.f64 1/2520 (pow.f64 l 7) (fma.f64 2 l (fma.f64 1/3 (pow.f64 l 3) (*.f64 1/60 (pow.f64 l 5)))))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K))))
(.f64 (.f64 2 l) (cos.f64 (*.f64 1/2 K)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))))
(fma.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))) (.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K)))))
(.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))))
(+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K))))))
(fma.f64 1/60 (.f64 (pow.f64 l 5) (cos.f64 (.f64 1/2 K))) (fma.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))) (.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K))))))
(fma.f64 (.f64 1/60 (pow.f64 l 5)) (cos.f64 (.f64 1/2 K)) (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 2 l (fma.f64 1/3 (pow.f64 l 3) (*.f64 1/60 (pow.f64 l 5)))))
(+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))))))
(fma.f64 1/60 (.f64 (pow.f64 l 5) (cos.f64 (.f64 1/2 K))) (fma.f64 1/2520 (.f64 (pow.f64 l 7) (cos.f64 (.f64 1/2 K))) (fma.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))) (.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K)))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l))) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (*.f64 1/2520 (pow.f64 l 7)))))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (fma.f64 2 l (.f64 1/3 (pow.f64 l 3))) (+.f64 (.f64 1/60 (pow.f64 l 5)) (*.f64 1/2520 (pow.f64 l 7)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))) (cos.f64 (*.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))) (cos.f64 (*.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))) (cos.f64 (*.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))) (cos.f64 (*.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (+.f64 (.f64 1/8 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 K 2))) (exp.f64 l)) (+.f64 (exp.f64 (neg.f64 l)) (.f64 1/8 (.f64 (pow.f64 K 2) (exp.f64 l)))))
(-.f64 (fma.f64 1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 K K)) (exp.f64 l)) (+.f64 (exp.f64 (neg.f64 l)) (.f64 1/8 (.f64 (exp.f64 l) (*.f64 K K)))))
(-.f64 (fma.f64 (/.f64 1/8 (exp.f64 l)) (.f64 K K) (exp.f64 l)) (fma.f64 1/8 (.f64 (exp.f64 l) (*.f64 K K)) (exp.f64 (neg.f64 l))))
(-.f64 (fma.f64 1/8 (/.f64 (.f64 K K) (exp.f64 l)) (exp.f64 l)) (fma.f64 1/8 (.f64 (exp.f64 l) (*.f64 K K)) (exp.f64 (neg.f64 l))))
(-.f64 (+.f64 (.f64 1/8 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 K 2))) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (exp.f64 l))) (exp.f64 l))) (+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 1/384 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 K 4))) (.f64 1/8 (.f64 (pow.f64 K 2) (exp.f64 l))))))
(-.f64 (fma.f64 1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 K K)) (fma.f64 1/384 (.f64 (exp.f64 l) (pow.f64 K 4)) (exp.f64 l))) (+.f64 (exp.f64 (neg.f64 l)) (fma.f64 1/384 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 K 4)) (.f64 1/8 (.f64 (exp.f64 l) (*.f64 K K))))))
(-.f64 (fma.f64 (/.f64 1/8 (exp.f64 l)) (.f64 K K) (.f64 (+.f64 (.f64 1/384 (pow.f64 K 4)) 1) (exp.f64 l))) (+.f64 (exp.f64 (neg.f64 l)) (fma.f64 1/8 (.f64 (exp.f64 l) (.f64 K K)) (.f64 (pow.f64 K 4) (/.f64 1/384 (exp.f64 l))))))
(fma.f64 1/8 (/.f64 (.f64 K K) (exp.f64 l)) (fma.f64 (+.f64 (.f64 1/384 (pow.f64 K 4)) 1) (exp.f64 l) (-.f64 (.f64 (.f64 (exp.f64 l) (.f64 K K)) -1/8) (.f64 (+.f64 (*.f64 1/384 (pow.f64 K 4)) 1) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 1/8 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 K 2))) (+.f64 (.f64 1/46080 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 K 6))) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (exp.f64 l))) (exp.f64 l)))) (+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 1/46080 (.f64 (pow.f64 K 6) (exp.f64 l))) (+.f64 (.f64 1/384 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 K 4))) (.f64 1/8 (.f64 (pow.f64 K 2) (exp.f64 l)))))))
(-.f64 (-.f64 (fma.f64 1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 K K)) (fma.f64 1/46080 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 K 6)) (fma.f64 1/384 (.f64 (exp.f64 l) (pow.f64 K 4)) (exp.f64 l)))) (exp.f64 (neg.f64 l))) (fma.f64 1/46080 (.f64 (exp.f64 l) (pow.f64 K 6)) (fma.f64 1/384 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 K 4)) (.f64 1/8 (.f64 (exp.f64 l) (*.f64 K K))))))
(-.f64 (fma.f64 (/.f64 1/8 (exp.f64 l)) (.f64 K K) (fma.f64 (/.f64 1/46080 (exp.f64 l)) (pow.f64 K 6) (.f64 (+.f64 (.f64 1/384 (pow.f64 K 4)) 1) (exp.f64 l)))) (+.f64 (fma.f64 1/46080 (.f64 (exp.f64 l) (pow.f64 K 6)) (.f64 (pow.f64 K 4) (/.f64 1/384 (exp.f64 l)))) (fma.f64 1/8 (.f64 (exp.f64 l) (*.f64 K K)) (exp.f64 (neg.f64 l)))))
(-.f64 (+.f64 (.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 1/46080 (pow.f64 K 6)) (.f64 K (.f64 K 1/8)))) (fma.f64 (+.f64 (.f64 1/384 (pow.f64 K 4)) 1) (exp.f64 l) (/.f64 -1 (exp.f64 l)))) (+.f64 (.f64 1/384 (/.f64 (pow.f64 K 4) (exp.f64 l))) (.f64 (exp.f64 l) (+.f64 (.f64 K (.f64 K 1/8)) (.f64 1/46080 (pow.f64 K 6))))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
U
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K)))))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K)))))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K)))))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 1/2 K)))) J)
(.f64 J (-.f64 (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) (.f64 (cos.f64 (*.f64 1/2 K)) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(-.f64 (+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K)))))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K)))))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K)))))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(.f64 -1 (.f64 (-.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 K))) (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) J))
(.f64 J (-.f64 (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) (.f64 (cos.f64 (*.f64 1/2 K)) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
U
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)
(fma.f64 2 (.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J)) U)
(fma.f64 (.f64 2 l) (.f64 (cos.f64 (*.f64 1/2 K)) J) U)
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (.f64 (cos.f64 (.f64 1/2 K)) J))) (+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 l 3) J) (cos.f64 (.f64 1/2 K))) (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 1/2 K))) U))
(+.f64 U (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l))))
(+.f64 U (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (fma.f64 2 l (.f64 1/3 (pow.f64 l 3)))))
(+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) (.f64 J (cos.f64 (.f64 1/2 K))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (.f64 J (cos.f64 (.f64 1/2 K))))) (+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)))
(fma.f64 1/60 (.f64 (.f64 (pow.f64 l 5) J) (cos.f64 (.f64 1/2 K))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 l 3) J) (cos.f64 (.f64 1/2 K))) (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)))
(+.f64 (fma.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (fma.f64 1/3 (pow.f64 l 3) (*.f64 1/60 (pow.f64 l 5)))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (fma.f64 2 l (fma.f64 1/3 (pow.f64 l 3) (.f64 1/60 (pow.f64 l 5))))) U)
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (.f64 (exp.f64 (.f64 -1 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (.f64 (exp.f64 (.f64 -1 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (.f64 (exp.f64 (.f64 -1 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (.f64 (exp.f64 (.f64 -1 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 U (.f64 (exp.f64 l) J)) (.f64 (exp.f64 (neg.f64 l)) J))
(+.f64 U (-.f64 (.f64 (exp.f64 l) J) (.f64 (exp.f64 (neg.f64 l)) J)))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(-.f64 (fma.f64 (exp.f64 l) J U) (/.f64 J (exp.f64 l)))
(-.f64 (+.f64 (.f64 J (exp.f64 l)) (+.f64 (.f64 1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 2) J))) U)) (+.f64 (.f64 1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 l) J))) (.f64 (exp.f64 (neg.f64 l)) J)))
(-.f64 (fma.f64 J (exp.f64 l) (fma.f64 1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (.f64 K K) J)) U)) (fma.f64 (exp.f64 (neg.f64 l)) J (.f64 1/8 (.f64 (.f64 (exp.f64 l) (*.f64 K K)) J))))
(-.f64 (fma.f64 (exp.f64 l) J (fma.f64 (/.f64 1/8 (exp.f64 l)) (.f64 K (.f64 K J)) U)) (fma.f64 (exp.f64 (neg.f64 l)) J (.f64 1/8 (.f64 (exp.f64 l) (.f64 K (.f64 K J))))))
(+.f64 U (-.f64 (.f64 J (fma.f64 1/8 (/.f64 (.f64 K K) (exp.f64 l)) (exp.f64 l))) (.f64 J (fma.f64 1/8 (.f64 (exp.f64 l) (*.f64 K K)) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 J (exp.f64 l)))) (+.f64 (.f64 J (exp.f64 l)) (+.f64 (.f64 1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 2) J))) U))) (+.f64 (.f64 1/384 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 4) J))) (+.f64 (.f64 (exp.f64 (neg.f64 l)) J) (.f64 1/8 (.f64 (pow.f64 K 2) (.f64 J (exp.f64 l)))))))
(-.f64 (fma.f64 1/384 (.f64 (.f64 (exp.f64 l) (pow.f64 K 4)) J) (fma.f64 J (exp.f64 l) (fma.f64 1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (.f64 K K) J)) U))) (fma.f64 1/384 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 4) J)) (fma.f64 (exp.f64 (neg.f64 l)) J (.f64 1/8 (.f64 (.f64 (exp.f64 l) (*.f64 K K)) J)))))
(+.f64 (.f64 (+.f64 (.f64 1/384 (pow.f64 K 4)) 1) (.f64 (exp.f64 l) J)) (-.f64 (fma.f64 (/.f64 1/8 (exp.f64 l)) (.f64 K (.f64 K J)) U) (fma.f64 (/.f64 1/384 (exp.f64 l)) (.f64 (pow.f64 K 4) J) (fma.f64 (exp.f64 (neg.f64 l)) J (.f64 1/8 (.f64 (exp.f64 l) (.f64 K (.f64 K J))))))))
(+.f64 (+.f64 U (.f64 J (fma.f64 1/8 (/.f64 (.f64 K K) (exp.f64 l)) (exp.f64 l)))) (-.f64 (.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 J (fma.f64 1/8 (.f64 (exp.f64 l) (.f64 K K)) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 J (exp.f64 l)) (+.f64 (.f64 1/46080 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 6) J))) (+.f64 U (+.f64 (.f64 1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 2) J))) (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 (exp.f64 l) J))))))) (+.f64 (.f64 1/46080 (.f64 (pow.f64 K 6) (.f64 (exp.f64 l) J))) (+.f64 (.f64 1/384 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 4) J))) (+.f64 (.f64 (exp.f64 (neg.f64 l)) J) (.f64 1/8 (.f64 (pow.f64 K 2) (.f64 J (exp.f64 l))))))))
(-.f64 (fma.f64 J (exp.f64 l) (fma.f64 1/46080 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 6) J)) (+.f64 U (fma.f64 1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (.f64 K K) J)) (.f64 1/384 (.f64 (.f64 (exp.f64 l) (pow.f64 K 4)) J)))))) (fma.f64 1/46080 (.f64 (pow.f64 K 6) (.f64 (exp.f64 l) J)) (fma.f64 1/384 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 4) J)) (fma.f64 (exp.f64 (neg.f64 l)) J (.f64 1/8 (.f64 (.f64 (exp.f64 l) (.f64 K K)) J))))))
(-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 1/8 (exp.f64 l)) (.f64 K (.f64 K J)) U) (.f64 (+.f64 (.f64 1/384 (pow.f64 K 4)) 1) (.f64 (exp.f64 l) J))) (.f64 (.f64 (pow.f64 K 6) (/.f64 1/46080 (exp.f64 l))) J)) (fma.f64 1/46080 (.f64 (pow.f64 K 6) (.f64 (exp.f64 l) J)) (fma.f64 (/.f64 1/384 (exp.f64 l)) (.f64 (pow.f64 K 4) J) (fma.f64 (exp.f64 (neg.f64 l)) J (.f64 1/8 (.f64 (exp.f64 l) (.f64 K (.f64 K J))))))))
(-.f64 (fma.f64 (exp.f64 l) J (+.f64 (fma.f64 1/8 (.f64 (.f64 K K) (/.f64 J (exp.f64 l))) U) (.f64 J (fma.f64 1/46080 (/.f64 (pow.f64 K 6) (exp.f64 l)) (.f64 (exp.f64 l) (.f64 1/384 (pow.f64 K 4))))))) (+.f64 (.f64 (exp.f64 (neg.f64 l)) (+.f64 J (.f64 1/384 (.f64 (pow.f64 K 4) J)))) (.f64 (.f64 (exp.f64 l) J) (+.f64 (.f64 K (.f64 K 1/8)) (*.f64 1/46080 (pow.f64 K 6))))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(.f64 J (-.f64 (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) (.f64 (cos.f64 (*.f64 1/2 K)) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
U
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
U
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) J)))
(-.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) U) (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J)))

prune88.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	76	5	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	5	82

Error

0.0b

Counts

82 → 5

Alt Table

Status	Error	Program
	20.2b	(fma.f64 J (.f64 (/.f64 (-.f64 (.f64 (exp.f64 l) (exp.f64 l)) (*.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 l)))) (+.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
▶	0.1b	(pow.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))) U) 1)
	1.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U)) (cbrt.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U))) (cbrt.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))) U)))
	0.9b	(fma.f64 (.f64 2 l) (.f64 (cos.f64 (*.f64 1/2 K)) J) U)
	12.0b	(fma.f64 J (cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))) (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))) U)

Compiler

Compiled 2192 to 1309 computations (40.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 l)
✓	0.0b	(fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))) U)
✓	0.1b	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2)))

series28.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
12.0ms	K	@	inf	(fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))) U)
1.0ms	K	@	inf	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2)))
1.0ms	l	@	inf	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2)))
1.0ms	l	@	-inf	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2)))
1.0ms	K	@	0	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2)))

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

623×	`log-prod_binary64`
237×	`expm1-udef_binary64`
237×	`log1p-udef_binary64`
219×	`prod-diff_binary64`
197×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	263	35
2	3072	35

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs
(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2)))
(fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))) U)
(sinh.f64 l)

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

Outputs

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

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

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

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

803×	`fma-def_binary64`
408×	`associate-l_binary64`
369×	`associate--l+_binary64`
333×	`associate-r_binary64`
329×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	2263
1	497	2216
2	1504	1883

Stop Event

1×	node limit

Counts

158 → 127

Calls

Call 1

Inputs
(.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))))
(+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K))))))
(+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))))))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 K 2) (exp.f64 l))) (exp.f64 l)) (+.f64 (/.f64 1 (exp.f64 l)) (.f64 1/8 (*.f64 (pow.f64 K 2) (exp.f64 l)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 K 2) (exp.f64 l))) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (exp.f64 l))) (exp.f64 l))) (+.f64 (/.f64 1 (exp.f64 l)) (+.f64 (.f64 1/8 (.f64 (pow.f64 K 2) (exp.f64 l))) (.f64 1/384 (/.f64 (pow.f64 K 4) (exp.f64 l))))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 K 2) (exp.f64 l))) (+.f64 (.f64 1/46080 (/.f64 (pow.f64 K 6) (exp.f64 l))) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (exp.f64 l))) (exp.f64 l)))) (+.f64 (.f64 1/46080 (.f64 (pow.f64 K 6) (exp.f64 l))) (+.f64 (/.f64 1 (exp.f64 l)) (+.f64 (.f64 1/8 (.f64 (pow.f64 K 2) (exp.f64 l))) (*.f64 1/384 (/.f64 (pow.f64 K 4) (exp.f64 l)))))))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
U
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (exp.f64 l)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (exp.f64 l)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (exp.f64 l)))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l))) J)
(-.f64 (+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l))) U) (/.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (exp.f64 l)))
(-.f64 (+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l))) U) (/.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (exp.f64 l)))
(-.f64 (+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l))) U) (/.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (exp.f64 l)))
(.f64 -1 (.f64 (-.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) (.f64 (exp.f64 l) (cos.f64 (*.f64 1/2 K)))) J))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
U
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (.f64 (cos.f64 (.f64 1/2 K)) J))) (+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U))
(+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) (.f64 J (cos.f64 (.f64 1/2 K))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (.f64 J (cos.f64 (.f64 1/2 K))))) (+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 U (*.f64 (exp.f64 l) J)) (/.f64 J (exp.f64 l)))
(-.f64 (+.f64 (.f64 J (exp.f64 l)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 K 2) J) (exp.f64 l))) U)) (+.f64 (/.f64 J (exp.f64 l)) (.f64 1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 l) J)))))
(-.f64 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 J (exp.f64 l)))) (+.f64 (.f64 J (exp.f64 l)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 K 2) J) (exp.f64 l))) U))) (+.f64 (/.f64 J (exp.f64 l)) (+.f64 (.f64 1/384 (/.f64 (.f64 (pow.f64 K 4) J) (exp.f64 l))) (.f64 1/8 (.f64 (pow.f64 K 2) (*.f64 J (exp.f64 l)))))))
(-.f64 (+.f64 (.f64 J (exp.f64 l)) (+.f64 (.f64 1/46080 (/.f64 (.f64 (pow.f64 K 6) J) (exp.f64 l))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 K 2) J) (exp.f64 l))) (+.f64 U (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 (exp.f64 l) J))))))) (+.f64 (.f64 1/46080 (.f64 (pow.f64 K 6) (.f64 (exp.f64 l) J))) (+.f64 (/.f64 J (exp.f64 l)) (+.f64 (.f64 1/8 (.f64 (pow.f64 K 2) (.f64 J (exp.f64 l)))) (.f64 1/384 (/.f64 (.f64 (pow.f64 K 4) J) (exp.f64 l)))))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
U
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
U
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
l
(+.f64 l (*.f64 1/6 (pow.f64 l 3)))
(+.f64 l (+.f64 (.f64 1/120 (pow.f64 l 5)) (.f64 1/6 (pow.f64 l 3))))
(+.f64 (.f64 1/5040 (pow.f64 l 7)) (+.f64 l (+.f64 (.f64 1/120 (pow.f64 l 5)) (*.f64 1/6 (pow.f64 l 3)))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))

Outputs
(.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 l))
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))))
(fma.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3)) (.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K)))))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 2 l) (.f64 1/3 (pow.f64 l 3))))
(.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))))
(+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K))))))
(fma.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 5)) (fma.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3)) (.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K))))))
(fma.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 5)) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 2 l) (.f64 1/3 (pow.f64 l 3)))))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l))))
(+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))))))
(fma.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 5)) (fma.f64 1/2520 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 7)) (fma.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3)) (.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K)))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 2 l) (.f64 1/3 (pow.f64 l 3)))) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (.f64 1/2520 (pow.f64 l 7)))))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (fma.f64 2 l (.f64 1/3 (pow.f64 l 3))) (fma.f64 1/60 (pow.f64 l 5) (.f64 1/2520 (pow.f64 l 7)))))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 K 2) (exp.f64 l))) (exp.f64 l)) (+.f64 (/.f64 1 (exp.f64 l)) (.f64 1/8 (*.f64 (pow.f64 K 2) (exp.f64 l)))))
(-.f64 (-.f64 (fma.f64 1/8 (/.f64 (.f64 K K) (exp.f64 l)) (exp.f64 l)) (exp.f64 (neg.f64 l))) (.f64 1/8 (.f64 (exp.f64 l) (.f64 K K))))
(-.f64 (fma.f64 1/8 (/.f64 (.f64 K K) (exp.f64 l)) (exp.f64 l)) (fma.f64 1/8 (.f64 (exp.f64 l) (*.f64 K K)) (exp.f64 (neg.f64 l))))
(-.f64 (fma.f64 1/8 (.f64 (/.f64 K (exp.f64 l)) K) (exp.f64 l)) (fma.f64 (exp.f64 l) (.f64 K (*.f64 K 1/8)) (exp.f64 (neg.f64 l))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 K 2) (exp.f64 l))) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (exp.f64 l))) (exp.f64 l))) (+.f64 (/.f64 1 (exp.f64 l)) (+.f64 (.f64 1/8 (.f64 (pow.f64 K 2) (exp.f64 l))) (.f64 1/384 (/.f64 (pow.f64 K 4) (exp.f64 l))))))
(-.f64 (fma.f64 1/8 (/.f64 (.f64 K K) (exp.f64 l)) (fma.f64 1/384 (.f64 (exp.f64 l) (pow.f64 K 4)) (exp.f64 l))) (+.f64 (exp.f64 (neg.f64 l)) (fma.f64 1/8 (.f64 (exp.f64 l) (.f64 K K)) (*.f64 1/384 (/.f64 (pow.f64 K 4) (exp.f64 l))))))
(fma.f64 1/8 (/.f64 (.f64 K K) (exp.f64 l)) (-.f64 (.f64 (+.f64 (.f64 1/384 (pow.f64 K 4)) 1) (exp.f64 l)) (+.f64 (exp.f64 (neg.f64 l)) (fma.f64 1/384 (/.f64 (pow.f64 K 4) (exp.f64 l)) (.f64 (.f64 K K) (.f64 (exp.f64 l) 1/8))))))
(-.f64 (fma.f64 1/8 (.f64 (/.f64 K (exp.f64 l)) K) (.f64 (fma.f64 1/384 (pow.f64 K 4) 1) (exp.f64 l))) (fma.f64 (exp.f64 l) (.f64 K (.f64 K 1/8)) (fma.f64 1/384 (/.f64 (pow.f64 K 4) (exp.f64 l)) (exp.f64 (neg.f64 l)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 K 2) (exp.f64 l))) (+.f64 (.f64 1/46080 (/.f64 (pow.f64 K 6) (exp.f64 l))) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (exp.f64 l))) (exp.f64 l)))) (+.f64 (.f64 1/46080 (.f64 (pow.f64 K 6) (exp.f64 l))) (+.f64 (/.f64 1 (exp.f64 l)) (+.f64 (.f64 1/8 (.f64 (pow.f64 K 2) (exp.f64 l))) (*.f64 1/384 (/.f64 (pow.f64 K 4) (exp.f64 l)))))))
(-.f64 (fma.f64 1/8 (/.f64 (.f64 K K) (exp.f64 l)) (fma.f64 1/46080 (/.f64 (pow.f64 K 6) (exp.f64 l)) (fma.f64 1/384 (.f64 (exp.f64 l) (pow.f64 K 4)) (exp.f64 l)))) (fma.f64 1/46080 (.f64 (exp.f64 l) (pow.f64 K 6)) (+.f64 (exp.f64 (neg.f64 l)) (fma.f64 1/8 (.f64 (exp.f64 l) (.f64 K K)) (.f64 1/384 (/.f64 (pow.f64 K 4) (exp.f64 l)))))))
(-.f64 (fma.f64 1/8 (/.f64 (.f64 K K) (exp.f64 l)) (fma.f64 1/46080 (/.f64 (pow.f64 K 6) (exp.f64 l)) (.f64 (+.f64 (.f64 1/384 (pow.f64 K 4)) 1) (exp.f64 l)))) (+.f64 (fma.f64 1/384 (/.f64 (pow.f64 K 4) (exp.f64 l)) (.f64 (.f64 K K) (.f64 (exp.f64 l) 1/8))) (fma.f64 1/46080 (*.f64 (exp.f64 l) (pow.f64 K 6)) (exp.f64 (neg.f64 l)))))
(fma.f64 1/8 (.f64 (/.f64 K (exp.f64 l)) K) (fma.f64 1/46080 (/.f64 (pow.f64 K 6) (exp.f64 l)) (-.f64 (.f64 (exp.f64 l) (-.f64 (fma.f64 1/384 (pow.f64 K 4) 1) (.f64 1/46080 (pow.f64 K 6)))) (fma.f64 (exp.f64 l) (.f64 K (*.f64 K 1/8)) (fma.f64 1/384 (/.f64 (pow.f64 K 4) (exp.f64 l)) (exp.f64 (neg.f64 l)))))))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
U
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l))) J)
(.f64 J (-.f64 (.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(-.f64 (+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l))) U) (/.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l))) U) (/.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l))) U) (/.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(.f64 -1 (.f64 (-.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) (.f64 (exp.f64 l) (cos.f64 (*.f64 1/2 K)))) J))
(.f64 J (-.f64 (.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
U
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J)) U)
(fma.f64 (.f64 l (cos.f64 (.f64 1/2 K))) (*.f64 J 2) U)
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (.f64 (cos.f64 (.f64 1/2 K)) J))) (+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U))
(fma.f64 1/3 (.f64 (pow.f64 l 3) (.f64 (cos.f64 (.f64 1/2 K)) J)) (fma.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)) U))
(+.f64 U (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(fma.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)) U)
(+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) (.f64 J (cos.f64 (.f64 1/2 K))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (.f64 J (cos.f64 (.f64 1/2 K))))) (+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)))
(fma.f64 1/60 (.f64 (.f64 (pow.f64 l 5) J) (cos.f64 (.f64 1/2 K))) (fma.f64 1/3 (.f64 (pow.f64 l 3) (.f64 (cos.f64 (.f64 1/2 K)) J)) (fma.f64 2 (.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J)) U)))
(+.f64 (fma.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 1/60 (pow.f64 l 5)) (.f64 1/3 (pow.f64 l 3)))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 1/60 (pow.f64 l 5)) (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)))) U)
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) J)) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 U (*.f64 (exp.f64 l) J)) (/.f64 J (exp.f64 l)))
(-.f64 (fma.f64 (exp.f64 l) J U) (/.f64 J (exp.f64 l)))
(-.f64 (+.f64 (.f64 J (exp.f64 l)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 K 2) J) (exp.f64 l))) U)) (+.f64 (/.f64 J (exp.f64 l)) (.f64 1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 l) J)))))
(-.f64 (fma.f64 J (exp.f64 l) (fma.f64 1/8 (/.f64 (.f64 K K) (/.f64 (exp.f64 l) J)) U)) (+.f64 (/.f64 J (exp.f64 l)) (.f64 1/8 (.f64 (.f64 K K) (*.f64 (exp.f64 l) J)))))
(-.f64 (fma.f64 (exp.f64 l) J (fma.f64 1/8 (.f64 (/.f64 (.f64 K K) (exp.f64 l)) J) U)) (fma.f64 (.f64 1/8 (.f64 K K)) (*.f64 (exp.f64 l) J) (/.f64 J (exp.f64 l))))
(fma.f64 (exp.f64 l) J (fma.f64 1/8 (.f64 (.f64 (/.f64 K (exp.f64 l)) K) J) (-.f64 U (fma.f64 (.f64 (exp.f64 l) (.f64 K K)) (*.f64 J 1/8) (/.f64 J (exp.f64 l))))))
(-.f64 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 J (exp.f64 l)))) (+.f64 (.f64 J (exp.f64 l)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 K 2) J) (exp.f64 l))) U))) (+.f64 (/.f64 J (exp.f64 l)) (+.f64 (.f64 1/384 (/.f64 (.f64 (pow.f64 K 4) J) (exp.f64 l))) (.f64 1/8 (.f64 (pow.f64 K 2) (*.f64 J (exp.f64 l)))))))
(-.f64 (fma.f64 1/384 (.f64 (.f64 (pow.f64 K 4) J) (exp.f64 l)) (fma.f64 J (exp.f64 l) (fma.f64 1/8 (/.f64 (.f64 K K) (/.f64 (exp.f64 l) J)) U))) (+.f64 (/.f64 J (exp.f64 l)) (fma.f64 1/8 (.f64 (.f64 K K) (.f64 (exp.f64 l) J)) (.f64 1/384 (/.f64 (.f64 (pow.f64 K 4) J) (exp.f64 l))))))
(+.f64 (.f64 (+.f64 (.f64 1/384 (pow.f64 K 4)) 1) (.f64 (exp.f64 l) J)) (-.f64 (fma.f64 1/8 (.f64 (/.f64 (.f64 K K) (exp.f64 l)) J) U) (+.f64 (/.f64 J (exp.f64 l)) (fma.f64 1/384 (.f64 (/.f64 (pow.f64 K 4) (exp.f64 l)) J) (.f64 (.f64 (exp.f64 l) (.f64 K K)) (.f64 J 1/8))))))
(fma.f64 (fma.f64 1/384 (pow.f64 K 4) 1) (.f64 (exp.f64 l) J) (-.f64 (fma.f64 1/8 (.f64 (.f64 (/.f64 K (exp.f64 l)) K) J) U) (fma.f64 1/384 (.f64 (/.f64 J (exp.f64 l)) (pow.f64 K 4)) (fma.f64 (.f64 (exp.f64 l) (.f64 K K)) (*.f64 J 1/8) (/.f64 J (exp.f64 l))))))
(-.f64 (+.f64 (.f64 J (exp.f64 l)) (+.f64 (.f64 1/46080 (/.f64 (.f64 (pow.f64 K 6) J) (exp.f64 l))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 K 2) J) (exp.f64 l))) (+.f64 U (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 (exp.f64 l) J))))))) (+.f64 (.f64 1/46080 (.f64 (pow.f64 K 6) (.f64 (exp.f64 l) J))) (+.f64 (/.f64 J (exp.f64 l)) (+.f64 (.f64 1/8 (.f64 (pow.f64 K 2) (.f64 J (exp.f64 l)))) (.f64 1/384 (/.f64 (.f64 (pow.f64 K 4) J) (exp.f64 l)))))))
(-.f64 (fma.f64 J (exp.f64 l) (fma.f64 1/46080 (/.f64 (pow.f64 K 6) (/.f64 (exp.f64 l) J)) (fma.f64 1/8 (/.f64 (.f64 K K) (/.f64 (exp.f64 l) J)) (+.f64 U (.f64 1/384 (.f64 (.f64 (pow.f64 K 4) J) (exp.f64 l))))))) (fma.f64 1/46080 (.f64 (pow.f64 K 6) (.f64 (exp.f64 l) J)) (+.f64 (/.f64 J (exp.f64 l)) (fma.f64 1/8 (.f64 (.f64 K K) (.f64 (exp.f64 l) J)) (.f64 1/384 (/.f64 (*.f64 (pow.f64 K 4) J) (exp.f64 l)))))))
(-.f64 (fma.f64 (exp.f64 l) J (fma.f64 1/46080 (.f64 (/.f64 (pow.f64 K 6) (exp.f64 l)) J) (fma.f64 1/8 (.f64 (/.f64 (.f64 K K) (exp.f64 l)) J) (fma.f64 1/384 (.f64 (exp.f64 l) (.f64 (pow.f64 K 4) J)) U)))) (+.f64 (fma.f64 1/384 (.f64 (/.f64 (pow.f64 K 4) (exp.f64 l)) J) (.f64 (.f64 (exp.f64 l) (.f64 K K)) (.f64 J 1/8))) (fma.f64 1/46080 (.f64 (exp.f64 l) (.f64 (pow.f64 K 6) J)) (/.f64 J (exp.f64 l)))))
(-.f64 (fma.f64 1/46080 (.f64 (/.f64 (pow.f64 K 6) (exp.f64 l)) J) (fma.f64 (fma.f64 1/384 (pow.f64 K 4) 1) (.f64 (exp.f64 l) J) (fma.f64 1/8 (.f64 (.f64 (/.f64 K (exp.f64 l)) K) J) U))) (+.f64 (fma.f64 1/384 (.f64 (/.f64 J (exp.f64 l)) (pow.f64 K 4)) (/.f64 J (exp.f64 l))) (.f64 (.f64 (exp.f64 l) J) (+.f64 (.f64 K (.f64 K 1/8)) (.f64 1/46080 (pow.f64 K 6))))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (exp.f64 l))) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(.f64 J (-.f64 (.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
U
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
U
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(-.f64 (+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) U) (/.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (exp.f64 l)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (/.f64 (cos.f64 (*.f64 1/2 K)) (/.f64 (exp.f64 l) J)))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (exp.f64 l) J) U) (.f64 (/.f64 (cos.f64 (.f64 1/2 K)) (exp.f64 l)) J))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
l
(+.f64 l (*.f64 1/6 (pow.f64 l 3)))
(+.f64 l (*.f64 (pow.f64 l 3) 1/6))
(fma.f64 (pow.f64 l 3) 1/6 l)
(+.f64 l (+.f64 (.f64 1/120 (pow.f64 l 5)) (.f64 1/6 (pow.f64 l 3))))
(+.f64 l (fma.f64 1/120 (pow.f64 l 5) (*.f64 (pow.f64 l 3) 1/6)))
(+.f64 (*.f64 (pow.f64 l 5) 1/120) (fma.f64 (pow.f64 l 3) 1/6 l))
(fma.f64 (pow.f64 l 3) 1/6 (fma.f64 (pow.f64 l 5) 1/120 l))
(+.f64 (.f64 1/5040 (pow.f64 l 7)) (+.f64 l (+.f64 (.f64 1/120 (pow.f64 l 5)) (*.f64 1/6 (pow.f64 l 3)))))
(fma.f64 1/5040 (pow.f64 l 7) (+.f64 l (fma.f64 1/120 (pow.f64 l 5) (*.f64 (pow.f64 l 3) 1/6))))
(+.f64 (fma.f64 (pow.f64 l 3) 1/6 (*.f64 (pow.f64 l 5) 1/120)) (fma.f64 (pow.f64 l 7) 1/5040 l))
(fma.f64 (pow.f64 l 7) 1/5040 (fma.f64 (pow.f64 l 3) 1/6 (fma.f64 (pow.f64 l 5) 1/120 l)))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(fma.f64 1/2 (exp.f64 l) (/.f64 -1/2 (exp.f64 l)))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(fma.f64 1/2 (exp.f64 l) (/.f64 -1/2 (exp.f64 l)))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(fma.f64 1/2 (exp.f64 l) (/.f64 -1/2 (exp.f64 l)))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(fma.f64 1/2 (exp.f64 l) (/.f64 -1/2 (exp.f64 l)))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(fma.f64 1/2 (exp.f64 l) (/.f64 -1/2 (exp.f64 l)))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(fma.f64 1/2 (exp.f64 l) (/.f64 -1/2 (exp.f64 l)))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(fma.f64 1/2 (exp.f64 l) (/.f64 -1/2 (exp.f64 l)))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(fma.f64 1/2 (exp.f64 l) (/.f64 -1/2 (exp.f64 l)))

prune158.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	123	4	127
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	126	6	132

Error

0.0b

Counts

132 → 6

Alt Table

Status	Error	Program
✓	0.1b	(pow.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))) U) 1)
	7.1b	(pow.f64 (fma.f64 J (.f64 (.f64 2 (.f64 (cbrt.f64 (sinh.f64 l)) (cbrt.f64 (pow.f64 (sinh.f64 l) 2)))) (cos.f64 (.f64 K 1/2))) U) 1)
▶	0.9b	(fma.f64 (.f64 2 l) (.f64 (cos.f64 (*.f64 1/2 K)) J) U)
	1.3b	(pow.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))) U)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))) U)) 2)) 1)
	12.0b	(pow.f64 (fma.f64 J (cbrt.f64 (.f64 (pow.f64 (.f64 2 (sinh.f64 l)) 3) (pow.f64 (cos.f64 (*.f64 K 1/2)) 3))) U) 1)
	34.8b	(pow.f64 (fma.f64 J (pow.f64 (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))))) 2) U) 1)

Compiler

Compiled 3197 to 2108 computations (34.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (.f64 2 l) (.f64 (cos.f64 (*.f64 1/2 K)) J) U)
✓	0.1b	(.f64 (cos.f64 (.f64 1/2 K)) J)

series11.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	U	@	0	(fma.f64 (.f64 2 l) (.f64 (cos.f64 (*.f64 1/2 K)) J) U)
1.0ms	J	@	0	(.f64 (cos.f64 (.f64 1/2 K)) J)
1.0ms	K	@	0	(fma.f64 (.f64 2 l) (.f64 (cos.f64 (*.f64 1/2 K)) J) U)
1.0ms	K	@	inf	(fma.f64 (.f64 2 l) (.f64 (cos.f64 (*.f64 1/2 K)) J) U)
1.0ms	l	@	0	(fma.f64 (.f64 2 l) (.f64 (cos.f64 (*.f64 1/2 K)) J) U)

rewrite43.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`log-prod_binary64`
213×	`expm1-udef_binary64`
213×	`log1p-udef_binary64`
205×	`prod-diff_binary64`
196×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	238	25
2	2703	25

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 1/2 K)) J)
(fma.f64 (.f64 2 l) (.f64 (cos.f64 (*.f64 1/2 K)) J) U)

Outputs

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

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

simplify35.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

646×	`fma-neg_binary64`
362×	`*-commutative_binary64`
271×	`distribute-rgt-neg-in_binary64`
265×	`distribute-lft-neg-in_binary64`
231×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	897
1	152	884
2	503	866
3	2178	856

Stop Event

1×	node limit

Counts

107 → 70

Calls

Call 1

Inputs
J
(-.f64 J (.f64 1/8 (.f64 (pow.f64 K 2) J)))
(-.f64 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) J) (.f64 1/8 (.f64 (pow.f64 K 2) J)))
(-.f64 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) J) (+.f64 (.f64 1/8 (.f64 (pow.f64 K 2) J)) (.f64 1/46080 (.f64 (pow.f64 K 6) J))))
(.f64 J (cos.f64 (.f64 1/2 K)))
(.f64 J (cos.f64 (.f64 1/2 K)))
(.f64 J (cos.f64 (.f64 1/2 K)))
(.f64 J (cos.f64 (.f64 1/2 K)))
(.f64 J (cos.f64 (.f64 1/2 K)))
(.f64 J (cos.f64 (.f64 1/2 K)))
(.f64 J (cos.f64 (.f64 1/2 K)))
(.f64 J (cos.f64 (.f64 1/2 K)))
U
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(-.f64 (+.f64 U (.f64 2 (.f64 l J))) (.f64 1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(-.f64 (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 U (.f64 2 (.f64 l J)))) (.f64 1/4 (.f64 (pow.f64 K 2) (.f64 l J))))
(-.f64 (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 U (.f64 2 (.f64 l J)))) (+.f64 (.f64 1/23040 (.f64 (pow.f64 K 6) (.f64 l J))) (.f64 1/4 (.f64 (pow.f64 K 2) (*.f64 l J)))))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
U
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
U
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
U
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)

Outputs
J
(-.f64 J (.f64 1/8 (.f64 (pow.f64 K 2) J)))
(+.f64 J (.f64 -1/8 (.f64 J (*.f64 K K))))
(-.f64 J (.f64 (.f64 K K) (*.f64 J 1/8)))
(fma.f64 (.f64 (.f64 K K) -1/8) J J)
(fma.f64 (.f64 J (.f64 K K)) -1/8 J)
(-.f64 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) J) (.f64 1/8 (.f64 (pow.f64 K 2) J)))
(+.f64 (fma.f64 1/384 (.f64 J (pow.f64 K 4)) J) (.f64 -1/8 (.f64 J (.f64 K K))))
(fma.f64 1/384 (.f64 J (pow.f64 K 4)) (-.f64 J (.f64 (.f64 K K) (.f64 J 1/8))))
(.f64 J (-.f64 (fma.f64 1/384 (pow.f64 K 4) 1) (.f64 1/8 (*.f64 K K))))
(.f64 J (+.f64 (.f64 K (*.f64 K -1/8)) (fma.f64 1/384 (pow.f64 K 4) 1)))
(-.f64 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) J) (+.f64 (.f64 1/8 (.f64 (pow.f64 K 2) J)) (.f64 1/46080 (.f64 (pow.f64 K 6) J))))
(-.f64 (fma.f64 1/384 (.f64 J (pow.f64 K 4)) J) (fma.f64 1/8 (.f64 J (.f64 K K)) (.f64 1/46080 (*.f64 J (pow.f64 K 6)))))
(-.f64 (fma.f64 1/384 (.f64 J (pow.f64 K 4)) J) (.f64 J (+.f64 (.f64 1/8 (.f64 K K)) (*.f64 1/46080 (pow.f64 K 6)))))
(+.f64 J (.f64 J (-.f64 (.f64 1/384 (pow.f64 K 4)) (fma.f64 1/8 (.f64 K K) (.f64 1/46080 (pow.f64 K 6))))))
(.f64 J (-.f64 (fma.f64 1/384 (pow.f64 K 4) 1) (fma.f64 1/8 (.f64 K K) (*.f64 1/46080 (pow.f64 K 6)))))
(.f64 J (cos.f64 (.f64 1/2 K)))
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 J (cos.f64 (.f64 1/2 K)))
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 J (cos.f64 (.f64 1/2 K)))
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 J (cos.f64 (.f64 1/2 K)))
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 J (cos.f64 (.f64 1/2 K)))
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 J (cos.f64 (.f64 1/2 K)))
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 J (cos.f64 (.f64 1/2 K)))
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 J (cos.f64 (.f64 1/2 K)))
(.f64 J (cos.f64 (.f64 K 1/2)))
U
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
(.f64 2 (.f64 (.f64 J (cos.f64 (.f64 K 1/2))) l))
(.f64 (.f64 J l) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 l)))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
(.f64 2 (.f64 (.f64 J (cos.f64 (.f64 K 1/2))) l))
(.f64 (.f64 J l) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 l)))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 J l) U)
(fma.f64 (*.f64 2 l) J U)
(fma.f64 J (*.f64 2 l) U)
(-.f64 (+.f64 U (.f64 2 (.f64 l J))) (.f64 1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(-.f64 (fma.f64 2 (.f64 J l) U) (.f64 1/4 (.f64 (.f64 K K) (*.f64 J l))))
(+.f64 U (.f64 (.f64 J l) (-.f64 2 (.f64 (.f64 K K) 1/4))))
(fma.f64 (.f64 J l) (-.f64 2 (.f64 K (*.f64 K 1/4))) U)
(-.f64 (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 U (.f64 2 (.f64 l J)))) (.f64 1/4 (.f64 (pow.f64 K 2) (.f64 l J))))
(+.f64 (fma.f64 1/192 (.f64 (pow.f64 K 4) (.f64 J l)) (fma.f64 2 (.f64 J l) U)) (.f64 -1/4 (.f64 (.f64 K K) (*.f64 J l))))
(+.f64 (fma.f64 1/192 (.f64 (pow.f64 K 4) (.f64 J l)) U) (.f64 (.f64 J l) (-.f64 2 (.f64 (.f64 K K) 1/4))))
(fma.f64 (pow.f64 K 4) (.f64 J (.f64 l 1/192)) (fma.f64 (.f64 J l) (-.f64 2 (.f64 K (*.f64 K 1/4))) U))
(+.f64 U (.f64 (.f64 J l) (+.f64 2 (fma.f64 (pow.f64 K 4) 1/192 (.f64 K (.f64 K -1/4))))))
(-.f64 (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 U (.f64 2 (.f64 l J)))) (+.f64 (.f64 1/23040 (.f64 (pow.f64 K 6) (.f64 l J))) (.f64 1/4 (.f64 (pow.f64 K 2) (*.f64 l J)))))
(-.f64 (fma.f64 1/192 (.f64 (pow.f64 K 4) (.f64 J l)) (fma.f64 2 (.f64 J l) U)) (fma.f64 1/23040 (.f64 (pow.f64 K 6) (.f64 J l)) (.f64 1/4 (.f64 (.f64 K K) (*.f64 J l)))))
(-.f64 (fma.f64 1/192 (.f64 (pow.f64 K 4) (.f64 J l)) (fma.f64 (.f64 2 l) J U)) (.f64 (.f64 J l) (+.f64 (.f64 (.f64 K K) 1/4) (.f64 (pow.f64 K 6) 1/23040))))
(+.f64 (fma.f64 (pow.f64 K 4) (.f64 J (.f64 l 1/192)) U) (.f64 (.f64 J l) (-.f64 2 (fma.f64 (.f64 K K) 1/4 (.f64 (pow.f64 K 6) 1/23040)))))
(+.f64 U (.f64 (.f64 J l) (+.f64 (-.f64 2 (fma.f64 (.f64 K K) 1/4 (.f64 (pow.f64 K 6) 1/23040))) (*.f64 (pow.f64 K 4) 1/192))))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
U
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
(.f64 2 (.f64 (.f64 J (cos.f64 (.f64 K 1/2))) l))
(.f64 (.f64 J l) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 l)))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
(.f64 2 (.f64 (.f64 J (cos.f64 (.f64 K 1/2))) l))
(.f64 (.f64 J l) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 l)))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
(.f64 2 (.f64 (.f64 J (cos.f64 (.f64 K 1/2))) l))
(.f64 (.f64 J l) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 l)))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
U
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
U
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) l) U)
(fma.f64 2 (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)

prune62.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	71	5	76

Error

0.0b

Counts

76 → 5

Alt Table

Status	Error	Program
▶	1.0b	(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
	7.1b	(pow.f64 (fma.f64 J (.f64 (.f64 2 (.f64 (cbrt.f64 (sinh.f64 l)) (cbrt.f64 (pow.f64 (sinh.f64 l) 2)))) (cos.f64 (.f64 K 1/2))) U) 1)
	1.2b	(fma.f64 (.f64 2 l) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J)) 3) U)
✓	0.1b	(pow.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))) U) 1)
✓	0.9b	(fma.f64 (.f64 2 l) (.f64 (cos.f64 (*.f64 1/2 K)) J) U)

Compiler

Compiled 1340 to 850 computations (36.6% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
✓	0.1b	(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l))

series13.0ms (0.2%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	J	@	inf	(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
1.0ms	l	@	0	(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l))
1.0ms	K	@	0	(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l))
1.0ms	J	@	inf	(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l))
1.0ms	K	@	-inf	(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`log-prod_binary64`
215×	`expm1-udef_binary64`
215×	`log1p-udef_binary64`
185×	`prod-diff_binary64`
180×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	240	28
2	2762	28

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l))
(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)

Outputs

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

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

simplify41.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-neg_binary64`
312×	`distribute-rgt-neg-in_binary64`
305×	`distribute-lft-neg-in_binary64`
286×	`fma-def_binary64`
268×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	1239
1	151	1218
2	531	1193
3	2530	1182

Stop Event

1×	node limit

Counts

131 → 73

Calls

Call 1

Inputs
(*.f64 l J)
(-.f64 (.f64 l J) (.f64 1/8 (.f64 (pow.f64 K 2) (.f64 l J))))
(-.f64 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 l J))) (.f64 l J)) (.f64 1/8 (.f64 (pow.f64 K 2) (*.f64 l J))))
(-.f64 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 l J))) (.f64 l J)) (+.f64 (.f64 1/46080 (.f64 (pow.f64 K 6) (.f64 l J))) (.f64 1/8 (.f64 (pow.f64 K 2) (.f64 l J)))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(+.f64 (.f64 2 (.f64 l J)) U)
(-.f64 (+.f64 U (.f64 2 (.f64 l J))) (.f64 1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(-.f64 (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 U (.f64 2 (.f64 l J)))) (.f64 1/4 (.f64 (pow.f64 K 2) (.f64 l J))))
(-.f64 (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 U (.f64 2 (.f64 l J)))) (+.f64 (.f64 1/23040 (.f64 (pow.f64 K 6) (.f64 l J))) (.f64 1/4 (.f64 (pow.f64 K 2) (*.f64 l J)))))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
U
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
U
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(+.f64 U (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))))
(+.f64 U (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))))
(+.f64 U (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(+.f64 U (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))))
(+.f64 U (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))))
(+.f64 U (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))))
U
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
U
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)

Outputs
(*.f64 l J)
(-.f64 (.f64 l J) (.f64 1/8 (.f64 (pow.f64 K 2) (.f64 l J))))
(+.f64 (.f64 l J) (.f64 -1/8 (.f64 (.f64 l J) (*.f64 K K))))
(fma.f64 l J (.f64 (.f64 l (.f64 J (.f64 K K))) -1/8))
(.f64 J (-.f64 l (.f64 l (.f64 1/8 (.f64 K K)))))
(.f64 J (-.f64 l (.f64 l (.f64 K (.f64 1/8 K)))))
(-.f64 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 l J))) (.f64 l J)) (.f64 1/8 (.f64 (pow.f64 K 2) (*.f64 l J))))
(+.f64 (fma.f64 1/384 (.f64 (.f64 l J) (pow.f64 K 4)) (.f64 l J)) (.f64 -1/8 (.f64 (.f64 l J) (*.f64 K K))))
(fma.f64 1/384 (.f64 (.f64 l J) (pow.f64 K 4)) (fma.f64 l J (.f64 (.f64 l (.f64 J (.f64 K K))) -1/8)))
(.f64 (.f64 l J) (+.f64 (.f64 (.f64 K K) -1/8) (fma.f64 1/384 (pow.f64 K 4) 1)))
(.f64 l (+.f64 J (.f64 J (fma.f64 1/384 (pow.f64 K 4) (.f64 K (.f64 K -1/8))))))
(-.f64 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 l J))) (.f64 l J)) (+.f64 (.f64 1/46080 (.f64 (pow.f64 K 6) (.f64 l J))) (.f64 1/8 (.f64 (pow.f64 K 2) (.f64 l J)))))
(-.f64 (fma.f64 1/384 (.f64 (.f64 l J) (pow.f64 K 4)) (.f64 l J)) (fma.f64 1/46080 (.f64 (.f64 l J) (pow.f64 K 6)) (.f64 1/8 (.f64 (.f64 l J) (*.f64 K K)))))
(-.f64 (.f64 (+.f64 (.f64 1/384 (pow.f64 K 4)) 1) (.f64 l J)) (.f64 (.f64 l J) (+.f64 (.f64 1/8 (.f64 K K)) (.f64 1/46080 (pow.f64 K 6)))))
(fma.f64 l J (.f64 (.f64 l J) (-.f64 (.f64 1/384 (pow.f64 K 4)) (fma.f64 1/8 (.f64 K K) (*.f64 1/46080 (pow.f64 K 6))))))
(.f64 (.f64 l J) (-.f64 (fma.f64 1/384 (pow.f64 K 4) 1) (fma.f64 1/8 (.f64 K K) (.f64 1/46080 (pow.f64 K 6)))))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
(.f64 J (.f64 l (cos.f64 (*.f64 K 1/2))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2)))
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(fma.f64 (*.f64 l J) 2 U)
(fma.f64 l (*.f64 J 2) U)
(-.f64 (+.f64 U (.f64 2 (.f64 l J))) (.f64 1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(+.f64 (fma.f64 2 (.f64 l J) U) (.f64 -1/4 (.f64 (.f64 l J) (*.f64 K K))))
(+.f64 U (.f64 (.f64 l J) (-.f64 2 (.f64 (.f64 K K) 1/4))))
(fma.f64 (.f64 l J) (+.f64 2 (.f64 (*.f64 K K) -1/4)) U)
(fma.f64 (.f64 l J) (+.f64 2 (.f64 K (*.f64 K -1/4))) U)
(-.f64 (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 U (.f64 2 (.f64 l J)))) (.f64 1/4 (.f64 (pow.f64 K 2) (.f64 l J))))
(+.f64 (fma.f64 1/192 (.f64 (.f64 l J) (pow.f64 K 4)) (fma.f64 2 (.f64 l J) U)) (.f64 -1/4 (.f64 (.f64 l J) (*.f64 K K))))
(+.f64 (fma.f64 (.f64 (.f64 l J) (pow.f64 K 4)) 1/192 U) (.f64 (.f64 l J) (-.f64 2 (.f64 (.f64 K K) 1/4))))
(fma.f64 (.f64 l J) (.f64 (pow.f64 K 4) 1/192) (fma.f64 (.f64 l J) (+.f64 2 (.f64 (*.f64 K K) -1/4)) U))
(+.f64 U (.f64 (.f64 l J) (+.f64 2 (fma.f64 (pow.f64 K 4) 1/192 (.f64 K (.f64 K -1/4))))))
(-.f64 (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 U (.f64 2 (.f64 l J)))) (+.f64 (.f64 1/23040 (.f64 (pow.f64 K 6) (.f64 l J))) (.f64 1/4 (.f64 (pow.f64 K 2) (*.f64 l J)))))
(-.f64 (fma.f64 1/192 (.f64 (.f64 l J) (pow.f64 K 4)) (fma.f64 2 (.f64 l J) U)) (fma.f64 1/23040 (.f64 (.f64 l J) (pow.f64 K 6)) (.f64 (.f64 (.f64 l J) (*.f64 K K)) 1/4)))
(-.f64 (fma.f64 (.f64 (.f64 l J) (pow.f64 K 4)) 1/192 (fma.f64 (.f64 l J) 2 U)) (.f64 (.f64 l J) (+.f64 (.f64 (.f64 K K) 1/4) (.f64 (pow.f64 K 6) 1/23040))))
(+.f64 (fma.f64 l (.f64 J 2) U) (.f64 (.f64 l J) (-.f64 (.f64 (pow.f64 K 4) 1/192) (fma.f64 (.f64 K K) 1/4 (.f64 (pow.f64 K 6) 1/23040)))))
(+.f64 U (.f64 (.f64 l J) (-.f64 (+.f64 2 (.f64 (pow.f64 K 4) 1/192)) (fma.f64 (.f64 K K) 1/4 (*.f64 (pow.f64 K 6) 1/23040)))))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
U
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
(.f64 (.f64 2 l) (.f64 J (cos.f64 (.f64 K 1/2))))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
(.f64 (.f64 2 l) (.f64 J (cos.f64 (.f64 K 1/2))))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
U
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
(.f64 (.f64 2 l) (.f64 J (cos.f64 (.f64 K 1/2))))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 (.f64 2 l) (.f64 J (cos.f64 (.f64 K 1/2))))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(+.f64 U (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))))
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 U (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))))
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 U (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))))
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 (.f64 2 l) (.f64 J (cos.f64 (.f64 K 1/2))))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(+.f64 U (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))))
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 U (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))))
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 U (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))))
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
U
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
U
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 K 1/2))) U)

prune60.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	73	5	78

Error

0.0b

Counts

78 → 5

Alt Table

Status	Error	Program
✓	1.0b	(fma.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J l)) U)
	7.1b	(pow.f64 (fma.f64 J (.f64 (.f64 2 (.f64 (cbrt.f64 (sinh.f64 l)) (cbrt.f64 (pow.f64 (sinh.f64 l) 2)))) (cos.f64 (.f64 K 1/2))) U) 1)
	1.2b	(fma.f64 (.f64 2 l) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J)) 3) U)
✓	0.1b	(pow.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))) U) 1)
✓	0.9b	(fma.f64 (.f64 2 l) (.f64 (cos.f64 (*.f64 1/2 K)) J) U)

Compiler

Compiled 1334 to 840 computations (37% saved)

regimes399.0ms (4.8%)

Accuracy

Total 0.0b remaining (61.7%)

Threshold costs 0.0b (61.7%)

Counts

71 → 1

Compiler

Compiled 1313 to 871 computations (33.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	20	18

Stop Event

1×

saturated

Calls

Call 1

Inputs
(pow.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))) U) 1)

Outputs
(pow.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))) U) 1)
(fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))) U)

end94.0ms (1.1%)

Stop Event

1×

fuel

Compiler

Compiled 123 to 93 computations (24.4% saved)

Details

analyze1.5s (18.5%)

sample5.3s (63.6%)

preprocess61.0ms (0.7%)

simplify28.0ms (0.3%)

prune5.0ms (0.1%)

localize10.0ms (0.1%)

series20.0ms (0.2%)

rewrite117.0ms (1.4%)

simplify50.0ms (0.6%)

prune88.0ms (1.1%)

localize10.0ms (0.1%)

series28.0ms (0.3%)

rewrite55.0ms (0.7%)

simplify46.0ms (0.6%)

prune158.0ms (1.9%)

localize8.0ms (0.1%)

series11.0ms (0.1%)

rewrite43.0ms (0.5%)

simplify35.0ms (0.4%)

prune62.0ms (0.7%)

localize14.0ms (0.2%)

series13.0ms (0.2%)

rewrite46.0ms (0.5%)

simplify41.0ms (0.5%)

prune60.0ms (0.7%)

regimes399.0ms (4.8%)

simplify2.0ms (0%)

end94.0ms (1.1%)

Profiling