Details

analyze1.6s (19.3%)

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 (66.4%)

Results

1.4s	2069×	body	1024	invalid
1.3s	1695×	body	1024	valid
772.0ms	4588×	body	128	valid
559.0ms	1248×	body	512	valid
481.0ms	2841×	body	128	invalid
406.0ms	989×	body	512	invalid
203.0ms	686×	body	256	valid
176.0ms	543×	body	256	invalid
44.0ms	39×	body	2048	valid

Compiler

Compiled 40 to 30 computations (25% saved)

preprocess42.0ms (0.5%)

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)

simplify26.0ms (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)

prune3.0ms (0%)

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

18.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	18.5b	(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)

localize22.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))
✓	5.4b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series7.0ms (0.1%)

Counts

2 → 32

Calls

9 calls:

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

rewrite77.0ms (1%)

Algorithm

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

Rules

122×	`add-sqr-sqrt_binary64`
122×	`add-sqr-sqrt_binary64`
115×	`*-un-lft-identity_binary64`
115×	`add-log-exp_binary64`
115×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	236	12
2	3626	12
0	6	6
1	130	6
2	2149	6
0	6	6
0	11	14
1	236	14
2	3626	14
0	11	14

Stop Event

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

Counts

2 → 19

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)))

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 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 log1p.f64 (expm1.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 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 log1p.f64 (expm1.f64 (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))))))))

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 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 log1p.f64 (expm1.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 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 log1p.f64 (expm1.f64 (*.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))))))))

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

662×	`fma-neg_binary64`
519×	`fma-def_binary64`
315×	`sub-neg_binary64`
181×	`associate-l_binary64`
168×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	726
1	230	684
2	717	650
3	2943	630

Stop Event

1×	node limit

Counts

51 → 45

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)))

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

prune56.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	3	46

Error

0.0b

Counts

46 → 3

Alt Table

Status	Error	Program
	10.4b	(fma.f64 J (.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 2 (sinh.f64 l))) (.f64 2 (sinh.f64 l)))) (cos.f64 (/.f64 K 2))) U)
▶	0.1b	(fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))) U)
	0.4b	(fma.f64 J (.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cos.f64 (/.f64 K 2))) U)

Status

Error

Program

10.4b

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

▶

0.1b

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

0.4b

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

Compiler

Compiled 1137 to 709 computations (37.6% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series21.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	U	@	0	(fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))) U)
3.0ms	K	@	0	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
1.0ms	J	@	0	(fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))) U)
1.0ms	l	@	inf	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
1.0ms	l	@	-inf	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

rewrite49.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`log-prod_binary64`
228×	`expm1-udef_binary64`
228×	`log1p-udef_binary64`
207×	`prod-diff_binary64`
191×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	250	32
2	3040	32

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

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

Outputs

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

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

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

741×	`fma-def_binary64`
395×	`associate-l_binary64`
377×	`associate-+l+_binary64`
369×	`associate--l+_binary64`
330×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	2107
1	472	2062
2	1425	1741

Stop Event

1×	node limit

Counts

119 → 91

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)))

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

prune89.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	89	5	94

Error

0.0b

Counts

94 → 5

Alt Table

Status	Error	Program
▶	0.4b	(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
	10.4b	(fma.f64 J (.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 2 (sinh.f64 l))) (.f64 2 (sinh.f64 l)))) (cos.f64 (/.f64 K 2))) U)
✓	0.1b	(fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))) U)
	0.4b	(fma.f64 J (.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cos.f64 (/.f64 K 2))) U)
	32.7b	(pow.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (cos.f64 (/.f64 K -2)) 2) (sinh.f64 l)) J U)) 2)

Compiler

Compiled 2255 to 1401 computations (37.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series31.0ms (0.4%)

Counts

4 → 81

Calls

36 calls:

Time	Variable		Point	Expression
7.0ms	l	@	0	(.f64 l (.f64 J (cos.f64 (*.f64 1/2 K))))
3.0ms	U	@	inf	(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
1.0ms	l	@	0	(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
1.0ms	J	@	0	(.f64 J (cos.f64 (.f64 1/2 K)))
1.0ms	K	@	inf	(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

325×	`fma-def_binary64`
246×	`expm1-udef_binary64`
246×	`log1p-udef_binary64`
202×	`log-pow_binary64`
172×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	273	52
2	3443	52

Stop Event

1×	node limit

Counts

4 → 105

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 J (cos.f64 (.f64 1/2 K))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 J (cos.f64 (.f64 1/2 K))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 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 cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 J (cos.f64 (.f64 1/2 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 J (cos.f64 (.f64 1/2 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 J (cos.f64 (.f64 1/2 K)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 l) (.f64 J (cos.f64 (.f64 1/2 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 3) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 l 3) (pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) l))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 l) (.f64 J (cos.f64 (.f64 1/2 K)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (*.f64 1/2 K)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) U))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) 2) (-.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) U)) (/.f64 (.f64 U U) (-.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) U)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) U) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) U))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) U)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) U)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) U)) 2) (cbrt.f64 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) U)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) U)) (sqrt.f64 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) U)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l)) 3) 8 (pow.f64 U 3)) (/.f64 1 (fma.f64 U (-.f64 U (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)))) (pow.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) 2) (.f64 U U)) (/.f64 1 (-.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) U)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 U (-.f64 U (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)))) (pow.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) 2)) (fma.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l)) 3) 8 (pow.f64 U 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) U) (-.f64 (pow.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) 2) (.f64 U U))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l)) 3) 8 (pow.f64 U 3)) (fma.f64 U (-.f64 U (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)))) (pow.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l)) 3) 8 (pow.f64 U 3)) (fma.f64 U U (-.f64 (pow.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) 2) (.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) U))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) 2) (.f64 U U)) (-.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) U))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l)) 3) 8 (pow.f64 U 3))) (neg.f64 (fma.f64 U (-.f64 U (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)))) (pow.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) 2) (.f64 U U))) (neg.f64 (-.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) U)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) 2)) (-.f64 U (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) U) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) 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 1/2 K)) U)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) U)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) U) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) U)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) U))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))))) (exp.f64 U)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 l) (.f64 J (cos.f64 (.f64 1/2 K)))) 2) (+.f64 1 (expm1.f64 U))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))))) (+.f64 1 (expm1.f64 U))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 U)) (pow.f64 (pow.f64 (exp.f64 l) (.f64 J (cos.f64 (.f64 1/2 K)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 U) (+.f64 1 (expm1.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 U)) (+.f64 1 (expm1.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) U) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 J (cos.f64 (.f64 1/2 K))) (.f64 l 2) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 l (.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 2) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l)) 2 U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l)) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) 1 U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 U 1 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 U (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)))) (cbrt.f64 (pow.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) 2)) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))) 2)) (cbrt.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 U) (cbrt.f64 (.f64 U U)) (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 U U)) (cbrt.f64 U) (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l)) 2)) (.f64 (cbrt.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l))) 2) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)))) (sqrt.f64 (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 U) (sqrt.f64 U) (.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l))) (.f64 (sqrt.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l))) 2) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 J l) (.f64 (cos.f64 (.f64 1/2 K)) 2) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 l 2) (.f64 J (cos.f64 (.f64 1/2 K))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (.f64 J (cos.f64 (.f64 1/2 K)))) l U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (cbrt.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l)) 2))) (cbrt.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (sqrt.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l)))) (sqrt.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 l 2) J) (cos.f64 (.f64 1/2 K)) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 l 2) (cos.f64 (.f64 1/2 K))) J U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 l 2) 1) (.f64 J (cos.f64 (.f64 1/2 K))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 l 2) (cbrt.f64 (pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 2))) (cbrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 l 2) (sqrt.f64 (.f64 J (cos.f64 (.f64 1/2 K))))) (sqrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) U)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) U)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) U)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (.f64 1/2 K)) U)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (.f64 2 (.f64 J l)) (cos.f64 (*.f64 1/2 K)) U)))))))

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

427×	`fma-def_binary64`
373×	`cancel-sign-sub-inv_binary64`
345×	`distribute-rgt-neg-in_binary64`
335×	`distribute-lft-neg-in_binary64`
307×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	1237
1	199	1193
2	700	1134
3	3147	1129

Stop Event

1×	node limit

Counts

186 → 146

Calls

Call 1

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

prune121.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	147	4	151

Error

Counts

151 → 4

Alt Table

Status	Error	Program
✓	0.4b	(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
▶	0.4b	(fma.f64 (.f64 J l) (.f64 (cos.f64 (*.f64 1/2 K)) 2) U)
✓	0.1b	(fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))) U)
	32.7b	(pow.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (cos.f64 (/.f64 K -2)) 2) (sinh.f64 l)) J U)) 2)

Compiler

Compiled 2682 to 1753 computations (34.6% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite39.0ms (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	16
1	238	16
2	2703	16

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

Outputs

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

simplify41.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

484×	`distribute-rgt-neg-in_binary64`
442×	`fma-neg_binary64`
436×	`distribute-lft-neg-in_binary64`
265×	`*-commutative_binary64`
253×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	755
1	108	743
2	353	733
3	1579	725
4	3615	725

Stop Event

1×	node limit

Counts

77 → 43

Calls

Call 1

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

prune30.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	43	4	47

Error

Counts

47 → 4

Alt Table

Status	Error	Program
✓	0.4b	(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
✓	0.4b	(fma.f64 (.f64 J l) (.f64 (cos.f64 (*.f64 1/2 K)) 2) U)
✓	0.1b	(fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))) U)
	33.0b	(pow.f64 (sqrt.f64 (fma.f64 l (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) 2)) U)) 2)

Compiler

Compiled 823 to 562 computations (31.7% saved)

regimes183.0ms (2.3%)

Accuracy

Total 0.0b remaining (57.8%)

Threshold costs 0.0b (57.8%)

Counts

41 → 1

Compiler

Compiled 629 to 403 computations (35.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	14	18

Stop Event

1×

saturated

Calls

Call 1

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

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

end70.0ms (0.9%)

Stop Event

1×

fuel

Compiler

Compiled 97 to 73 computations (24.7% saved)

Details

analyze1.6s (19.3%)

sample5.3s (66.4%)

preprocess42.0ms (0.5%)

simplify26.0ms (0.3%)

prune3.0ms (0%)

localize22.0ms (0.3%)

series7.0ms (0.1%)

rewrite77.0ms (1%)

simplify43.0ms (0.5%)

prune56.0ms (0.7%)

localize10.0ms (0.1%)

series21.0ms (0.3%)

rewrite49.0ms (0.6%)

simplify45.0ms (0.6%)

prune89.0ms (1.1%)

localize9.0ms (0.1%)

series31.0ms (0.4%)

rewrite64.0ms (0.8%)

simplify42.0ms (0.5%)

prune121.0ms (1.5%)

localize9.0ms (0.1%)

series7.0ms (0.1%)

rewrite39.0ms (0.5%)

simplify41.0ms (0.5%)

prune30.0ms (0.4%)

regimes183.0ms (2.3%)

simplify2.0ms (0%)

end70.0ms (0.9%)

Profiling