Details

analyze1.6s (18.6%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 15 computations (25% saved)

sample5.3s (62.1%)

Results

1.3s	1774×	body	1024	valid
1.2s	1981×	body	1024	invalid
770.0ms	4494×	body	128	valid
562.0ms	1225×	body	512	valid
536.0ms	2863×	body	128	invalid
465.0ms	1044×	body	512	invalid
218.0ms	694×	body	256	valid
150.0ms	509×	body	256	invalid
73.0ms	69×	body	2048	valid

preprocess40.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify26.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

17.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	17.5b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 71 to 47 computations (33.8% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 (/.f64 K 2))
✓	0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
✓	6.2b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series14.0ms (0.2%)

Counts

3 → 56

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	K	@	-inf	(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	@	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)))
1.0ms	K	@	0	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))

rewrite109.0ms (1.3%)

Algorithm

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

Rules

490×	`pow1_binary64`
458×	`add-log-exp_binary64`
458×	`log1p-expm1-u_binary64`
458×	`expm1-log1p-u_binary64`
450×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	277	18
2	4224	18
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	5	6
1	107	6
2	1244	6

Stop Event

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

Counts

3 → 35

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

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

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

simplify40.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

571×	`fma-def_binary64`
357×	`distribute-lft-in_binary64`
353×	`distribute-rgt-in_binary64`
347×	`associate-l_binary64`
275×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1136
1	244	1084
2	713	1041
3	3013	995

Stop Event

1×	node limit

Counts

91 → 70

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

prune70.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Error

0.0b

Counts

71 → 3

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (pow.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) 1) U)
✓	17.5b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
	0.3b	(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)

Status

Error

Program

▶

0.0b

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

✓

17.5b

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

0.3b

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

Compiler

Compiled 1561 to 880 computations (43.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series28.0ms (0.3%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	l	@	inf	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
2.0ms	l	@	0	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
2.0ms	l	@	inf	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
1.0ms	J	@	0	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
1.0ms	l	@	-inf	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

351×	`fma-def_binary64`
262×	`expm1-udef_binary64`
262×	`log1p-udef_binary64`
191×	`fma-neg_binary64`
152×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	304	52
2	3848	52

Stop Event

1×	node limit

Counts

4 → 109

Calls

Call 1

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

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

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

462×	`associate-l_binary64`
349×	`associate-r_binary64`
309×	`associate-+l+_binary64`
282×	`distribute-lft-out_binary64`
259×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	2785
1	344	2679
2	1062	2561
3	3702	2479

Stop Event

1×	node limit

Counts

229 → 171

Calls

Call 1

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

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

prune301.0ms (3.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	168	3	171
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	170	4	174

Error

0.0b

Counts

174 → 4

Alt Table

Status	Error	Program
	0.1b	(fma.f64 (.f64 (.f64 (.f64 2 (sinh.f64 l)) J) (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2)) (cbrt.f64 (cos.f64 (*.f64 K 1/2))) U)
▶	0.0b	(fma.f64 (.f64 2 (sinh.f64 l)) (.f64 (cos.f64 (*.f64 K 1/2)) J) U)
✓	0.0b	(+.f64 (pow.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) 1) U)
	0.4b	(+.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 (cos.f64 (.f64 K 1/2)) J))) 3) 1) U)

Compiler

Compiled 3910 to 2600 computations (33.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series12.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite53.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

605×	`log-prod_binary64`
235×	`expm1-udef_binary64`
235×	`log1p-udef_binary64`
224×	`prod-diff_binary64`
196×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	261	33
2	3020	33

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

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

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

simplify47.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

591×	`fma-def_binary64`
348×	`associate-l_binary64`
285×	`distribute-lft-in_binary64`
281×	`distribute-rgt-in_binary64`
269×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	1447
1	231	1404
2	695	1364
3	2966	1337

Stop Event

1×	node limit

Counts

153 → 109

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

prune176.0ms (2.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	140	5	145

Error

Counts

145 → 5

Alt Table

Status	Error	Program
	0.4b	(+.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 (cos.f64 (.f64 K 1/2)) J))) 3) 1) U)
	0.3b	(fma.f64 (.f64 2 (sinh.f64 l)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (*.f64 K 1/2)) J)) 3) U)
✓	0.0b	(fma.f64 (.f64 2 (sinh.f64 l)) (.f64 (cos.f64 (*.f64 K 1/2)) J) U)
✓	0.0b	(+.f64 (pow.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) 1) U)
▶	0.1b	(fma.f64 (.f64 2 (sinh.f64 l)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3) J) U)

Compiler

Compiled 2729 to 1779 computations (34.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (.f64 2 (sinh.f64 l)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3) J) U)
✓	0.1b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 3) J)
✓	0.3b	(cbrt.f64 (cos.f64 (*.f64 K 1/2)))
✓	0.3b	(pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3)

series13.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	K	@	-inf	(pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3)
2.0ms	K	@	inf	(pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3)
1.0ms	K	@	0	(pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3)
0.0ms	K	@	0	(fma.f64 (.f64 2 (sinh.f64 l)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3) J) U)
0.0ms	K	@	0	(cbrt.f64 (cos.f64 (*.f64 K 1/2)))

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

262×	`expm1-udef_binary64`
262×	`log1p-udef_binary64`
224×	`prod-diff_binary64`
221×	`log-pow_binary64`
152×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	329	41
2	3510	41

Stop Event

1×	node limit

Counts

4 → 86

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3)
(cbrt.f64 (cos.f64 (*.f64 K 1/2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 3) J)
(fma.f64 (.f64 2 (sinh.f64 l)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3) J) U)

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

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

639×	`fma-def_binary64`
364×	`associate-l_binary64`
286×	`associate-r_binary64`
285×	`distribute-lft-in_binary64`
281×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	1563
1	259	1518
2	769	1474
3	3192	1447

Stop Event

1×	node limit

Counts

182 → 133

Calls

Call 1

Inputs
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))
1
(+.f64 1 (*.f64 -1/24 (pow.f64 K 2)))
(+.f64 1 (+.f64 (.f64 -1/24 (pow.f64 K 2)) (.f64 -1/1152 (pow.f64 K 4))))
(+.f64 (.f64 -23/414720 (pow.f64 K 6)) (+.f64 1 (+.f64 (.f64 -1/24 (pow.f64 K 2)) (*.f64 -1/1152 (pow.f64 K 4)))))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
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 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J))) U))
(+.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 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) 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 (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 (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 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(+.f64 U (.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)
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
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))
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1
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J
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U
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U
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(.f64 (.f64 (cos.f64 (*.f64 K 1/2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(fma.f64 (cos.f64 (.f64 K 1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(fma.f64 (cos.f64 (.f64 K 1/2)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(fma.f64 (cos.f64 (.f64 K 1/2)) (.f64 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)
(+.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)
(+.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)
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)
(+.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)
(+.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)

prune150.0ms (1.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	133	5	138

Error

Counts

138 → 5

Alt Table

Status	Error	Program
	0.4b	(+.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 (cos.f64 (.f64 K 1/2)) J))) 3) 1) U)
	0.3b	(fma.f64 (.f64 2 (sinh.f64 l)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (*.f64 K 1/2)) J)) 3) U)
✓	0.0b	(fma.f64 (.f64 2 (sinh.f64 l)) (.f64 (cos.f64 (*.f64 K 1/2)) J) U)
✓	0.0b	(+.f64 (pow.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) 1) U)
✓	0.1b	(fma.f64 (.f64 2 (sinh.f64 l)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3) J) U)

Compiler

Compiled 2622 to 1754 computations (33.1% saved)

regimes166.0ms (2%)

Accuracy

Total -0.5b remaining (-731.2%)

Threshold costs -0.5b (-731.2%)

Counts

32 → 1

Compiler

Compiled 580 to 383 computations (34% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	16	18

Stop Event

1×

saturated

Calls

Call 1

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

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

end84.0ms (1%)

Stop Event

1×

fuel

Compiler

Compiled 107 to 74 computations (30.8% saved)

Details

analyze1.6s (18.6%)

sample5.3s (62.1%)

preprocess40.0ms (0.5%)

simplify26.0ms (0.3%)

prune3.0ms (0%)

localize13.0ms (0.2%)

series14.0ms (0.2%)

rewrite109.0ms (1.3%)

simplify40.0ms (0.5%)

prune70.0ms (0.8%)

localize12.0ms (0.1%)

series28.0ms (0.3%)

rewrite64.0ms (0.7%)

simplify75.0ms (0.9%)

prune301.0ms (3.5%)

localize10.0ms (0.1%)

series12.0ms (0.1%)

rewrite53.0ms (0.6%)

simplify47.0ms (0.6%)

prune176.0ms (2.1%)

localize12.0ms (0.1%)

series13.0ms (0.1%)

rewrite58.0ms (0.7%)

simplify64.0ms (0.7%)

prune150.0ms (1.8%)

regimes166.0ms (2%)

simplify2.0ms (0%)

end84.0ms (1%)

Profiling