Details

analyze469.0ms (5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
18.7%	81.1%	0.2%	10
18.7%	72.9%	8.4%	11
18.7%	72.9%	8.4%	12

Compiler

Compiled 20 to 15 computations (25% saved)

sample6.1s (65.3%)

Results

1.4s	1683×	body	1024	valid
1.4s	2035×	body	1024	invalid
738.0ms	1237×	body	512	valid
690.0ms	4110×	body	64	valid
542.0ms	1034×	body	512	invalid
457.0ms	2914×	body	64	invalid
342.0ms	742×	body	256	valid
269.0ms	534×	body	256	invalid
140.0ms	416×	body	128	valid
78.0ms	68×	body	2048	valid
62.0ms	220×	body	128	invalid

preprocess59.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

822×	`times-frac_binary64`
672×	`fma-def_binary64`
472×	`associate-l_binary64`
454×	`associate-r_binary64`
450×	`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
6	7035	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)

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

745×	`fma-def_binary64`
464×	`fma-neg_binary64`
404×	`associate-/l*_binary64`
394×	`times-frac_binary64`
371×	`cancel-sign-sub-inv_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
8	6277	22
9	7944	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)

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

16.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	16.0b	(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
▶	16.0b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 107 to 73 computations (31.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 (/.f64 K 2))
✓	0.0b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
✓	0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
✓	4.9b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series16.0ms (0.2%)

Counts

4 → 80

Calls

21 calls:

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

rewrite150.0ms (1.6%)

Algorithm

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

Rules

490×	`pow1_binary64`
481×	`add-sqr-sqrt_binary64`
458×	`add-log-exp_binary64`
458×	`log1p-expm1-u_binary64`
458×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	277	24
2	4224	24
0	6	6
1	130	6
2	2149	6
0	6	6
0	13	17
1	277	17
2	4228	17
0	13	17
0	8	9
1	169	9
2	2705	9
0	8	9
0	5	6
1	107	6
2	1244	6

Stop Event

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

Counts

4 → 41

Calls

Call 1

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

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

734×	`fma-def_binary64`
502×	`unsub-neg_binary64`
384×	`associate-l_binary64`
375×	`distribute-rgt-in_binary64`
358×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	1484
1	276	1423
2	810	1351
3	3291	1315
4	6646	1315

Stop Event

1×	node limit

Counts

121 → 84

Calls

Call 1

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

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

prune190.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	81	5	86

Error

0.0b

Counts

86 → 5

Alt Table

Status	Error	Program
	8.4b	(+.f64 (.f64 (.f64 J (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)
	0.8b	(+.f64 (.f64 (+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (*.f64 (pow.f64 l 5) J))))) (cos.f64 (/.f64 K 2))) U)
✓	16.0b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
▶	0.1b	(+.f64 (pow.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) 1) U)
	0.4b	(+.f64 (.f64 (.f64 J (.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 2000 to 1184 computations (40.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series28.0ms (0.3%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	K	@	-inf	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
4.0ms	U	@	0	(+.f64 (pow.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) 1) U)
2.0ms	J	@	0	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
2.0ms	l	@	inf	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
1.0ms	l	@	-inf	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`log-prod_binary64`
382×	`pow2_binary64`
351×	`fma-def_binary64`
266×	`pow1/3_binary64`
262×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	304	49
2	3848	49

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

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

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

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simplify101.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

950×	`fma-def_binary64`
616×	`fma-neg_binary64`
446×	`associate-l_binary64`
394×	`distribute-rgt-in_binary64`
391×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	2631
1	316	2529
2	973	2388
3	4409	2303
4	7803	2303

Stop Event

1×	node limit

Counts

212 → 158

Calls

Call 1

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

Outputs
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
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(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
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(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
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(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
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(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
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(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J l)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 l 2)))
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(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
U
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
U
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)

prune710.0ms (7.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	179	3	182
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	182	5	187

Error

Counts

187 → 5

Alt Table

Status	Error	Program
	0.1b	(+.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 K 1/2)))))) 1) U)
	0.8b	(+.f64 (.f64 (+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (*.f64 (pow.f64 l 5) J))))) (cos.f64 (/.f64 K 2))) U)
	0.1b	(+.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 K 1/2)))))) 1) U)
▶	0.1b	(fma.f64 (.f64 2 (sinh.f64 l)) (.f64 (cos.f64 (/.f64 K -2)) J) U)
✓	16.0b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 4241 to 2839 computations (33.1% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series13.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`log-prod_binary64`
357×	`pow-prod-down_binary64`
338×	`pow2_binary64`
238×	`pow1/3_binary64`
237×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	267	33
2	3127	33

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

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

Outputs

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

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

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

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

970×	`unsub-neg_binary64`
646×	`associate-+r+_binary64`
564×	`fma-def_binary64`
373×	`associate-l_binary64`
304×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	1447
1	219	1390
2	693	1343
3	2938	1328
4	5979	1328

Stop Event

1×	node limit

Counts

163 → 118

Calls

Call 1

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

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

prune293.0ms (3.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	118	5	123

Error

Counts

123 → 5

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 (.f64 2 (sinh.f64 l)) (.f64 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 K -1/2)))) J) U)
	0.1b	(+.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 K 1/2)))))) 1) U)
	0.8b	(+.f64 (.f64 (+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (*.f64 (pow.f64 l 5) J))))) (cos.f64 (/.f64 K 2))) U)
✓	0.1b	(fma.f64 (.f64 2 (sinh.f64 l)) (.f64 (cos.f64 (/.f64 K -2)) J) U)
✓	16.0b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 2328 to 1534 computations (34.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (.f64 2 (sinh.f64 l)) (.f64 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 K -1/2)))) J) U)
✓	0.1b	(.f64 (expm1.f64 (log1p.f64 (cos.f64 (.f64 K -1/2)))) J)
✓	0.2b	(expm1.f64 (log1p.f64 (cos.f64 (*.f64 K -1/2))))
✓	0.4b	(log1p.f64 (cos.f64 (*.f64 K -1/2)))

series63.0ms (0.7%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
39.0ms	K	@	inf	(log1p.f64 (cos.f64 (*.f64 K -1/2)))
16.0ms	K	@	-inf	(log1p.f64 (cos.f64 (*.f64 K -1/2)))
1.0ms	K	@	0	(log1p.f64 (cos.f64 (*.f64 K -1/2)))
0.0ms	K	@	0	(fma.f64 (.f64 2 (sinh.f64 l)) (.f64 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 K -1/2)))) J) U)
0.0ms	K	@	0	(expm1.f64 (log1p.f64 (cos.f64 (*.f64 K -1/2))))

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

643×	`log-prod_binary64`
369×	`pow-prod-down_binary64`
354×	`pow2_binary64`
259×	`prod-diff_binary64`
250×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	282	41
2	3228	41

Stop Event

1×	node limit

Counts

4 → 98

Calls

Call 1

Inputs
(log1p.f64 (cos.f64 (*.f64 K -1/2)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 K -1/2))))
(.f64 (expm1.f64 (log1p.f64 (cos.f64 (.f64 K -1/2)))) J)
(fma.f64 (.f64 2 (sinh.f64 l)) (.f64 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 K -1/2)))) J) U)

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

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

624×	`fma-def_binary64`
392×	`associate-l_binary64`
352×	`associate-*l/_binary64`
346×	`associate-*r/_binary64`
307×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1569
1	250	1510
2	767	1461
3	3165	1446
4	5333	1446

Stop Event

1×	node limit

Counts

194 → 145

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 -1/16 (pow.f64 K 2)) (log.f64 2))
(+.f64 (.f64 -1/16 (pow.f64 K 2)) (+.f64 (log.f64 2) (.f64 -1/1536 (pow.f64 K 4))))
(+.f64 (.f64 -1/16 (pow.f64 K 2)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/1536 (pow.f64 K 4)) (*.f64 -1/92160 (pow.f64 K 6)))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 -1/2 K))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 -1/2 K))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 -1/2 K))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 -1/2 K))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 -1/2 K))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 -1/2 K))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 -1/2 K))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 -1/2 K))))
1
(+.f64 (*.f64 -1/8 (pow.f64 K 2)) 1)
(+.f64 (.f64 -1/8 (pow.f64 K 2)) (+.f64 1 (.f64 1/384 (pow.f64 K 4))))
(+.f64 (.f64 -1/8 (pow.f64 K 2)) (+.f64 1 (+.f64 (.f64 -1/46080 (pow.f64 K 6)) (*.f64 1/384 (pow.f64 K 4)))))
(cos.f64 (*.f64 -1/2 K))
(cos.f64 (*.f64 -1/2 K))
(cos.f64 (*.f64 -1/2 K))
(cos.f64 (*.f64 -1/2 K))
(cos.f64 (*.f64 -1/2 K))
(cos.f64 (*.f64 -1/2 K))
(cos.f64 (*.f64 -1/2 K))
(cos.f64 (*.f64 -1/2 K))
J
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J))
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) J)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) 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)
(.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)
U
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 -1/2 K)) J))) U)
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (.f64 (cos.f64 (.f64 -1/2 K)) J))) (+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 -1/2 K)) J))) U))
(+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) (.f64 (cos.f64 (.f64 -1/2 K)) J))) (+.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 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) U))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
U
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
U
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
U
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)

Outputs
(log.f64 2)
(+.f64 (*.f64 -1/16 (pow.f64 K 2)) (log.f64 2))
(fma.f64 -1/16 (*.f64 K K) (log.f64 2))
(+.f64 (.f64 -1/16 (pow.f64 K 2)) (+.f64 (log.f64 2) (.f64 -1/1536 (pow.f64 K 4))))
(+.f64 (fma.f64 -1/16 (.f64 K K) (log.f64 2)) (.f64 -1/1536 (pow.f64 K 4)))
(fma.f64 -1/16 (*.f64 K K) (fma.f64 -1/1536 (pow.f64 K 4) (log.f64 2)))
(+.f64 (.f64 -1/16 (pow.f64 K 2)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/1536 (pow.f64 K 4)) (*.f64 -1/92160 (pow.f64 K 6)))))
(+.f64 (fma.f64 -1/16 (.f64 K K) (log.f64 2)) (fma.f64 -1/1536 (pow.f64 K 4) (.f64 -1/92160 (pow.f64 K 6))))
(+.f64 (fma.f64 -1/1536 (pow.f64 K 4) (.f64 -1/92160 (pow.f64 K 6))) (fma.f64 -1/16 (.f64 K K) (log.f64 2)))
(fma.f64 -1/16 (*.f64 K K) (fma.f64 -1/1536 (pow.f64 K 4) (fma.f64 -1/92160 (pow.f64 K 6) (log.f64 2))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 -1/2 K))))
(log1p.f64 (cos.f64 (*.f64 K -1/2)))
(log.f64 (+.f64 1 (cos.f64 (*.f64 -1/2 K))))
(log1p.f64 (cos.f64 (*.f64 K -1/2)))
(log.f64 (+.f64 1 (cos.f64 (*.f64 -1/2 K))))
(log1p.f64 (cos.f64 (*.f64 K -1/2)))
(log.f64 (+.f64 1 (cos.f64 (*.f64 -1/2 K))))
(log1p.f64 (cos.f64 (*.f64 K -1/2)))
(log.f64 (+.f64 1 (cos.f64 (*.f64 -1/2 K))))
(log1p.f64 (cos.f64 (*.f64 K -1/2)))
(log.f64 (+.f64 1 (cos.f64 (*.f64 -1/2 K))))
(log1p.f64 (cos.f64 (*.f64 K -1/2)))
(log.f64 (+.f64 1 (cos.f64 (*.f64 -1/2 K))))
(log1p.f64 (cos.f64 (*.f64 K -1/2)))
(log.f64 (+.f64 1 (cos.f64 (*.f64 -1/2 K))))
(log1p.f64 (cos.f64 (*.f64 K -1/2)))
1
(+.f64 (*.f64 -1/8 (pow.f64 K 2)) 1)
(fma.f64 -1/8 (*.f64 K K) 1)
(fma.f64 (*.f64 K K) -1/8 1)
(+.f64 (.f64 -1/8 (pow.f64 K 2)) (+.f64 1 (.f64 1/384 (pow.f64 K 4))))
(+.f64 (fma.f64 -1/8 (.f64 K K) 1) (.f64 (pow.f64 K 4) 1/384))
(fma.f64 (*.f64 K K) -1/8 (fma.f64 (pow.f64 K 4) 1/384 1))
(fma.f64 K (*.f64 K -1/8) (fma.f64 (pow.f64 K 4) 1/384 1))
(+.f64 (.f64 -1/8 (pow.f64 K 2)) (+.f64 1 (+.f64 (.f64 -1/46080 (pow.f64 K 6)) (*.f64 1/384 (pow.f64 K 4)))))
(+.f64 (fma.f64 -1/8 (.f64 K K) 1) (fma.f64 -1/46080 (pow.f64 K 6) (.f64 (pow.f64 K 4) 1/384)))
(+.f64 (fma.f64 (pow.f64 K 4) 1/384 (.f64 (pow.f64 K 6) -1/46080)) (fma.f64 (.f64 K K) -1/8 1))
(fma.f64 K (*.f64 K -1/8) (fma.f64 (pow.f64 K 4) 1/384 (fma.f64 (pow.f64 K 6) -1/46080 1)))
(cos.f64 (*.f64 -1/2 K))
(cos.f64 (*.f64 K -1/2))
(cos.f64 (*.f64 -1/2 K))
(cos.f64 (*.f64 K -1/2))
(cos.f64 (*.f64 -1/2 K))
(cos.f64 (*.f64 K -1/2))
(cos.f64 (*.f64 -1/2 K))
(cos.f64 (*.f64 K -1/2))
(cos.f64 (*.f64 -1/2 K))
(cos.f64 (*.f64 K -1/2))
(cos.f64 (*.f64 -1/2 K))
(cos.f64 (*.f64 K -1/2))
(cos.f64 (*.f64 -1/2 K))
(cos.f64 (*.f64 K -1/2))
(cos.f64 (*.f64 -1/2 K))
(cos.f64 (*.f64 K -1/2))
J
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)
(fma.f64 -1/8 (.f64 (.f64 K K) J) J)
(fma.f64 (.f64 K K) (.f64 -1/8 J) J)
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J))
(fma.f64 1/384 (.f64 (pow.f64 K 4) J) (fma.f64 -1/8 (.f64 (*.f64 K K) J) J))
(.f64 J (fma.f64 K (.f64 K -1/8) (fma.f64 (pow.f64 K 4) 1/384 1)))
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) J)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)))
(fma.f64 1/384 (.f64 (pow.f64 K 4) J) (fma.f64 -1/46080 (.f64 (pow.f64 K 6) J) (fma.f64 -1/8 (.f64 (.f64 K K) J) J)))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 K K) J) J) (.f64 J (fma.f64 (pow.f64 K 4) 1/384 (.f64 (pow.f64 K 6) -1/46080))))
(+.f64 J (.f64 J (fma.f64 K (.f64 K -1/8) (fma.f64 (pow.f64 K 4) 1/384 (*.f64 (pow.f64 K 6) -1/46080)))))
(.f64 J (fma.f64 K (.f64 K -1/8) (fma.f64 (pow.f64 K 4) 1/384 (fma.f64 (pow.f64 K 6) -1/46080 1))))
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
(.f64 (cos.f64 (.f64 -1/2 K)) J)
(.f64 (cos.f64 (.f64 K -1/2)) J)
U
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 -1/2 K)) J))) U)
(fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 K -1/2)) J) l) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 K -1/2)) (*.f64 J l)) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (*.f64 2 l) U)
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (.f64 (cos.f64 (.f64 -1/2 K)) J))) (+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 -1/2 K)) J))) U))
(fma.f64 1/3 (.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (pow.f64 l 3)) (fma.f64 2 (.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) l) U))
(+.f64 U (.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)) U)
(+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) (.f64 (cos.f64 (.f64 -1/2 K)) J))) (+.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 1/60 (.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (pow.f64 l 5)) (fma.f64 1/3 (.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (pow.f64 l 3)) (fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 K -1/2)) J) l) U)))
(+.f64 (fma.f64 2 (.f64 (cos.f64 (.f64 K -1/2)) (.f64 J l)) U) (.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (+.f64 (.f64 1/60 (pow.f64 l 5)) (.f64 1/3 (pow.f64 l 3)))))
(+.f64 U (.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (+.f64 (fma.f64 1/60 (pow.f64 l 5) (.f64 1/3 (pow.f64 l 3))) (*.f64 2 l))))
(+.f64 U (.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (+.f64 (.f64 1/60 (pow.f64 l 5)) (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U))
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
(+.f64 U (.f64 (fma.f64 (.f64 K K) -1/8 1) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(fma.f64 (fma.f64 (.f64 K K) -1/8 1) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (fma.f64 1/384 (.f64 (*.f64 (pow.f64 K 4) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)))
(+.f64 (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (+.f64 (.f64 (.f64 K K) -1/8) (*.f64 (pow.f64 K 4) 1/384))))
(+.f64 U (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 K (*.f64 K -1/8) (fma.f64 (pow.f64 K 4) 1/384 1))))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (fma.f64 K (*.f64 K -1/8) (fma.f64 (pow.f64 K 4) 1/384 1)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) U))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (fma.f64 1/384 (.f64 (.f64 (pow.f64 K 4) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 -1/46080 (.f64 (pow.f64 K 6) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U))))
(+.f64 (+.f64 U (.f64 (+.f64 1 (.f64 (pow.f64 K 6) -1/46080)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (+.f64 (.f64 (.f64 K K) -1/8) (.f64 (pow.f64 K 4) 1/384))))
(fma.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 K (.f64 K -1/8) (.f64 (pow.f64 K 4) 1/384)) (fma.f64 (fma.f64 (pow.f64 K 6) -1/46080 1) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U))
(+.f64 U (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (fma.f64 K (*.f64 K -1/8) (fma.f64 (pow.f64 K 4) 1/384 (fma.f64 (pow.f64 K 6) -1/46080 1))))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
U
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 K -1/2)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (.f64 (cos.f64 (*.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 K -1/2)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (.f64 (cos.f64 (*.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))
(.f64 (cos.f64 (.f64 K -1/2)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (.f64 (cos.f64 (*.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
U
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
U
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K -1/2)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K -1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)

prune430.0ms (4.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	145	5	150

Error

Counts

150 → 5

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 (.f64 2 (sinh.f64 l)) (.f64 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 K -1/2)))) J) U)
	0.1b	(+.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 K 1/2)))))) 1) U)
	0.8b	(+.f64 (.f64 (+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (*.f64 (pow.f64 l 5) J))))) (cos.f64 (/.f64 K 2))) U)
✓	0.1b	(fma.f64 (.f64 2 (sinh.f64 l)) (.f64 (cos.f64 (/.f64 K -2)) J) U)
✓	16.0b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 2833 to 1903 computations (32.8% saved)

regimes184.0ms (2%)

Accuracy

Total -16.6b remaining (-32740.5%)

Threshold costs -16.6b (-32740.5%)

Counts

10 → 1

Calls

Call 1

Inputs
(fma.f64 (.f64 2 (sinh.f64 l)) (.f64 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 K -1/2)))) J) U)
(+.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 K 1/2)))))) 1) U)
(+.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 K 1/2)))))) 1) U)
(fma.f64 (.f64 2 (sinh.f64 l)) (.f64 (cos.f64 (/.f64 K -2)) J) U)
(+.f64 (.f64 (.f64 J (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)
(+.f64 (.f64 (+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (*.f64 (pow.f64 l 5) J))))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (pow.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) 1) U)
(+.f64 (.f64 (.f64 J (.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)
(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

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

Results

6.0ms	0.1b	`J`
7.0ms	0.1b	`l`
6.0ms	0.1b	`K`
9.0ms	0.1b	`U`
9.0ms	0.1b	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)`
3.0ms	0.1b	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))`
3.0ms	0.1b	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
3.0ms	0.1b	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
52.0ms	0.1b	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
6.0ms	0.1b	`(cos.f64 (/.f64 K 2))`
5.0ms	0.1b	`(cos.f64 (/.f64 K 2))`
8.0ms	0.1b	`(/.f64 K 2)`
60.0ms	0.1b	`(/.f64 K 2)`

Compiler

Compiled 312 to 222 computations (28.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	15	18

Stop Event

1×

saturated

Calls

Call 1

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

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

end20.0ms (0.2%)

Stop Event

1×

fuel

Compiler

Compiled 32 to 24 computations (25% saved)

Details

analyze469.0ms (5%)

sample6.1s (65.3%)

preprocess59.0ms (0.6%)

simplify51.0ms (0.5%)

prune4.0ms (0%)

localize11.0ms (0.1%)

series16.0ms (0.2%)

rewrite150.0ms (1.6%)

simplify71.0ms (0.8%)

prune190.0ms (2%)

localize10.0ms (0.1%)

series28.0ms (0.3%)

rewrite70.0ms (0.7%)

simplify101.0ms (1.1%)

prune710.0ms (7.6%)

localize10.0ms (0.1%)

series13.0ms (0.1%)

rewrite77.0ms (0.8%)

simplify70.0ms (0.7%)

prune293.0ms (3.1%)

localize12.0ms (0.1%)

series63.0ms (0.7%)

rewrite71.0ms (0.8%)

simplify71.0ms (0.8%)

prune430.0ms (4.6%)

regimes184.0ms (2%)

simplify2.0ms (0%)

end20.0ms (0.2%)

Profiling