Details

analyze573.0ms (5.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	9
18.8%	18.7%	81.1%	0.2%	0%	0%	0%	10
20.4%	18.7%	72.9%	0.2%	8.2%	0%	0%	11
20.4%	18.7%	72.9%	0.2%	8.2%	0%	0%	12

Compiler

Compiled 20 to 15 computations (25% saved)

sample4.2s (39.9%)

Results

975.0ms	1687×	body	1024	valid
895.0ms	2071×	body	1024	infinite
871.0ms	5300×	body	256	valid
686.0ms	3788×	body	256	infinite
405.0ms	1218×	body	512	valid
286.0ms	1020×	body	512	infinite
48.0ms	51×	body	2048	valid

Bogosity

preprocess65.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

822×	`times-frac_binary64`
672×	`fma-def_binary64`
476×	`associate-l_binary64`
450×	`associate-r_binary64`
437×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	154
1	113	154
2	244	154
3	618	154
4	1692	154
5	4556	154
6	7115	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 (-.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)
(+.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)
(+.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 K (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (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)
(+.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)
(fma.f64 (-.f64 (exp.f64 K) (exp.f64 (neg.f64 K))) (*.f64 J (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)

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

745×	`fma-def_binary64`
464×	`fma-neg_binary64`
403×	`associate-/l*_binary64`
401×	`times-frac_binary64`
369×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	22
1	29	22
2	55	22
3	121	22
4	309	22
5	777	22
6	2045	22
7	3869	22
8	6301	22
9	7969	22

Stop Event

1×	node limit

Counts

1 → 4

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)

eval1.0ms (0%)

Compiler: Compiled 61 to 28 computations (54.1% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	2	5

Error

15.9b

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.9b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 (/.f64 K 2))
✓	0.0b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
✓	0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
✓	4.6b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 65 to 24 computations (63.1% saved)

series14.0ms (0.1%)

Counts

4 → 80

Calls

21 calls:

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

rewrite87.0ms (0.8%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	277	24
2	4319	24
0	6	6
1	130	6
2	2188	6
0	6	6
0	13	17
1	277	17
2	4318	17
0	13	17
0	8	9
1	169	9
2	2769	9
0	8	9
0	5	6
1	107	6
2	1244	6

Stop Event

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

Counts

4 → 41

Calls

Call 1

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

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

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

844×	`fma-def_binary64`
470×	`unswap-sqr_binary64`
378×	`log-prod_binary64`
273×	`associate-l_binary64`
267×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1879
1	511	1806
2	2172	1732
3	7086	1732

Stop Event

1×	node limit

Counts

121 → 128

Calls

Call 1

Inputs
(*.f64 2 l)
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
(+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (*.f64 2 l)))
(+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/2520 (pow.f64 l 7)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (.f64 2 l))))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 5) J))) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J)))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 5) J))) (+.f64 (.f64 1/2520 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 7) J))) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J))))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))))
(+.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))) (.f64 1/384 (.f64 (pow.f64 K 4) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))))
(+.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))) (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
1
(+.f64 (*.f64 -1/8 (pow.f64 K 2)) 1)
(+.f64 (.f64 -1/8 (pow.f64 K 2)) (+.f64 1 (.f64 1/384 (pow.f64 K 4))))
(+.f64 (.f64 -1/8 (pow.f64 K 2)) (+.f64 1 (+.f64 (.f64 -1/46080 (pow.f64 K 6)) (*.f64 1/384 (pow.f64 K 4)))))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(+.f64 (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l))))
(.f64 1 (.f64 2 (sinh.f64 l)))
(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (*.f64 2 (sinh.f64 l))))
(*.f64 2 (sinh.f64 l))
(/.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))))))
(/.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))))
(pow.f64 (*.f64 2 (sinh.f64 l)) 1)
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 l))))
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 2 (sinh.f64 l))) (*.f64 2 (sinh.f64 l))))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 l))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 l))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 l))))
(pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 1)
(log.f64 (exp.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))))
(cbrt.f64 (.f64 (.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))) (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))))
(expm1.f64 (log1p.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))))
(log1p.f64 (expm1.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))))
(exp.f64 (log.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))))
(pow.f64 (.f64 J (.f64 2 (sinh.f64 l))) 1)
(log.f64 (exp.f64 (.f64 J (.f64 2 (sinh.f64 l)))))
(cbrt.f64 (.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (.f64 J (.f64 2 (sinh.f64 l)))) (.f64 J (.f64 2 (sinh.f64 l)))))
(expm1.f64 (log1p.f64 (.f64 J (.f64 2 (sinh.f64 l)))))
(log1p.f64 (expm1.f64 (.f64 J (.f64 2 (sinh.f64 l)))))
(exp.f64 (log.f64 (.f64 J (.f64 2 (sinh.f64 l)))))
(-.f64 (+.f64 1 (cos.f64 (*.f64 K 1/2))) 1)
(.f64 (cos.f64 (.f64 K 1/2)) 1)
(.f64 1 (cos.f64 (.f64 K 1/2)))
(.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2) (cbrt.f64 (cos.f64 (*.f64 K 1/2))))
(.f64 (sqrt.f64 (cos.f64 (.f64 K 1/2))) (sqrt.f64 (cos.f64 (*.f64 K 1/2))))
(pow.f64 (cos.f64 (*.f64 K 1/2)) 1)
(pow.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 K 1/2))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 K 1/2))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 K 1/2))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 K 1/2))))
(exp.f64 (log.f64 (cos.f64 (*.f64 K 1/2))))

Outputs
(*.f64 2 l)
(+.f64 l 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 1/3 (pow.f64 l 3) (+.f64 l l))
(+.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 1/60 (pow.f64 l 5) (+.f64 l l)))
(fma.f64 2 l (fma.f64 1/60 (pow.f64 l 5) (*.f64 1/3 (pow.f64 l 3))))
(+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/2520 (pow.f64 l 7)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (.f64 2 l))))
(fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/2520 (pow.f64 l 7) (fma.f64 1/60 (pow.f64 l 5) (*.f64 2 l))))
(fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/2520 (pow.f64 l 7) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l))))
(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 l l))))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 1/2 K))))
(.f64 (.f64 l J) (.f64 2 (cos.f64 (.f64 1/2 K))))
(.f64 (.f64 (+.f64 l l) J) (cos.f64 (*.f64 1/2 K)))
(+.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 (.f64 l J) (cos.f64 (.f64 1/2 K))) (.f64 1/3 (.f64 (.f64 (pow.f64 l 3) J) (cos.f64 (*.f64 1/2 K)))))
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))) (.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (fma.f64 1/3 (pow.f64 l 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 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J)))))
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 1/2 K))) (fma.f64 1/60 (.f64 (.f64 (pow.f64 l 5) J) (cos.f64 (.f64 1/2 K))) (.f64 1/3 (.f64 (.f64 (pow.f64 l 3) J) (cos.f64 (.f64 1/2 K))))))
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))) (fma.f64 1/60 (.f64 J (.f64 (pow.f64 l 5) (cos.f64 (.f64 1/2 K)))) (.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (cos.f64 (.f64 1/2 K)))))
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (fma.f64 1/60 (pow.f64 l 5) (*.f64 1/3 (pow.f64 l 3))))))
(+.f64 (.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 (.f64 l J) (cos.f64 (.f64 1/2 K))) (fma.f64 1/60 (.f64 (.f64 (pow.f64 l 5) J) (cos.f64 (.f64 1/2 K))) (fma.f64 1/2520 (.f64 (.f64 (pow.f64 l 7) J) (cos.f64 (.f64 1/2 K))) (.f64 1/3 (.f64 (.f64 (pow.f64 l 3) J) (cos.f64 (*.f64 1/2 K)))))))
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))) (fma.f64 1/60 (.f64 J (.f64 (pow.f64 l 5) (cos.f64 (.f64 1/2 K)))) (fma.f64 1/3 (.f64 (pow.f64 l 3) (.f64 J (cos.f64 (.f64 1/2 K)))) (.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 J (fma.f64 1/2520 (pow.f64 l 7) (.f64 1/3 (pow.f64 l 3))))) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(*.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 (fma.f64 (.f64 -1/8 K) K 1) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (+.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 (pow.f64 K 4) (-.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) (+.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 (pow.f64 K 4) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) J)))))
(+.f64 (.f64 (fma.f64 -1/8 (.f64 K K) 1) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)) (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 -1/46080 (pow.f64 K 6) (.f64 1/384 (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) (fma.f64 K (.f64 K -1/8) (fma.f64 1/384 (pow.f64 K 4) (.f64 -1/46080 (pow.f64 K 6))))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 1/2 K))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(.f64 2 (.f64 l J))
(.f64 (.f64 2 l) J)
(*.f64 (+.f64 l l) J)
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(*.f64 J (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J))))
(fma.f64 2 (.f64 l J) (fma.f64 1/3 (.f64 (pow.f64 l 3) J) (.f64 1/60 (.f64 (pow.f64 l 5) J))))
(fma.f64 2 (.f64 l J) (.f64 J (fma.f64 1/3 (pow.f64 l 3) (*.f64 1/60 (pow.f64 l 5)))))
(.f64 J (fma.f64 2 l (fma.f64 1/60 (pow.f64 l 5) (.f64 1/3 (pow.f64 l 3)))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J)))))
(fma.f64 2 (.f64 l J) (fma.f64 1/2520 (.f64 (pow.f64 l 7) J) (fma.f64 1/3 (.f64 (pow.f64 l 3) J) (.f64 1/60 (*.f64 (pow.f64 l 5) J)))))
(fma.f64 2 (.f64 l J) (fma.f64 1/2520 (.f64 (pow.f64 l 7) J) (.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 1/60 (pow.f64 l 5))))))
(*.f64 J (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/2520 (pow.f64 l 7) (+.f64 l l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
1
(+.f64 (*.f64 -1/8 (pow.f64 K 2)) 1)
(fma.f64 -1/8 (*.f64 K K) 1)
(fma.f64 (*.f64 -1/8 K) K 1)
(+.f64 (.f64 -1/8 (pow.f64 K 2)) (+.f64 1 (.f64 1/384 (pow.f64 K 4))))
(fma.f64 -1/8 (.f64 K K) (+.f64 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))))
(fma.f64 K (*.f64 K -1/8) (fma.f64 1/384 (pow.f64 K 4) (fma.f64 -1/46080 (pow.f64 K 6) 1)))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(+.f64 (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(.f64 1 (.f64 2 (sinh.f64 l)))
(*.f64 2 (sinh.f64 l))
(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))
(*.f64 2 (sinh.f64 l))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (*.f64 2 (sinh.f64 l))))
(*.f64 2 (sinh.f64 l))
(*.f64 2 (sinh.f64 l))
(/.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))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) 3) (pow.f64 (exp.f64 (neg.f64 l)) 3)) (+.f64 (exp.f64 (+.f64 l l)) (*.f64 (exp.f64 (neg.f64 l)) (+.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) 3) (pow.f64 (exp.f64 (neg.f64 l)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l -2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) 3) (exp.f64 (*.f64 l -3))) (+.f64 1 (fma.f64 (exp.f64 l) (exp.f64 l) (pow.f64 (exp.f64 l) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) 3) (pow.f64 (exp.f64 l) -3)) (+.f64 1 (fma.f64 (exp.f64 l) (exp.f64 l) (pow.f64 (exp.f64 l) -2))))
(/.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))))
(/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l)))) (+.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l -2))) (+.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) 2) (pow.f64 (exp.f64 l) -2)) (+.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(pow.f64 (*.f64 2 (sinh.f64 l)) 1)
(*.f64 2 (sinh.f64 l))
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 l))))
(*.f64 2 (sinh.f64 l))
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 2 (sinh.f64 l))) (*.f64 2 (sinh.f64 l))))
(*.f64 2 (sinh.f64 l))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 l))))
(*.f64 2 (sinh.f64 l))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 l))))
(*.f64 2 (sinh.f64 l))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 l))))
(*.f64 2 (sinh.f64 l))
(pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 1)
(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 (sinh.f64 l) J)))
(.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K))))
(log.f64 (exp.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))))
(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 (sinh.f64 l) J)))
(.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K))))
(cbrt.f64 (.f64 (.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))) (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))))
(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 (sinh.f64 l) J)))
(.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K))))
(expm1.f64 (log1p.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))))
(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 (sinh.f64 l) J)))
(.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K))))
(log1p.f64 (expm1.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))))
(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 (sinh.f64 l) J)))
(.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K))))
(exp.f64 (log.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))))
(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 (sinh.f64 l) J)))
(.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K))))
(pow.f64 (.f64 J (.f64 2 (sinh.f64 l))) 1)
(.f64 J (.f64 2 (sinh.f64 l)))
(.f64 2 (.f64 (sinh.f64 l) J))
(log.f64 (exp.f64 (.f64 J (.f64 2 (sinh.f64 l)))))
(.f64 J (.f64 2 (sinh.f64 l)))
(.f64 2 (.f64 (sinh.f64 l) J))
(cbrt.f64 (.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (.f64 J (.f64 2 (sinh.f64 l)))) (.f64 J (.f64 2 (sinh.f64 l)))))
(.f64 J (.f64 2 (sinh.f64 l)))
(.f64 2 (.f64 (sinh.f64 l) J))
(expm1.f64 (log1p.f64 (.f64 J (.f64 2 (sinh.f64 l)))))
(.f64 J (.f64 2 (sinh.f64 l)))
(.f64 2 (.f64 (sinh.f64 l) J))
(log1p.f64 (expm1.f64 (.f64 J (.f64 2 (sinh.f64 l)))))
(.f64 J (.f64 2 (sinh.f64 l)))
(.f64 2 (.f64 (sinh.f64 l) J))
(exp.f64 (log.f64 (.f64 J (.f64 2 (sinh.f64 l)))))
(.f64 J (.f64 2 (sinh.f64 l)))
(.f64 2 (.f64 (sinh.f64 l) J))
(-.f64 (+.f64 1 (cos.f64 (*.f64 K 1/2))) 1)
(cos.f64 (*.f64 1/2 K))
(.f64 (cos.f64 (.f64 K 1/2)) 1)
(cos.f64 (*.f64 1/2 K))
(.f64 1 (cos.f64 (.f64 K 1/2)))
(cos.f64 (*.f64 1/2 K))
(.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 2))
(cos.f64 (*.f64 1/2 K))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2) (cbrt.f64 (cos.f64 (*.f64 K 1/2))))
(cos.f64 (*.f64 1/2 K))
(.f64 (sqrt.f64 (cos.f64 (.f64 K 1/2))) (sqrt.f64 (cos.f64 (*.f64 K 1/2))))
(cos.f64 (*.f64 1/2 K))
(pow.f64 (cos.f64 (*.f64 K 1/2)) 1)
(cos.f64 (*.f64 1/2 K))
(pow.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 3) 1/3)
(cos.f64 (*.f64 1/2 K))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3)
(cos.f64 (*.f64 1/2 K))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 K 1/2))) 2)
(cos.f64 (*.f64 1/2 K))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 2))
(cos.f64 (*.f64 1/2 K))
(log.f64 (exp.f64 (cos.f64 (*.f64 K 1/2))))
(cos.f64 (*.f64 1/2 K))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 3))
(cos.f64 (*.f64 1/2 K))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 K 1/2))))
(cos.f64 (*.f64 1/2 K))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 K 1/2))))
(cos.f64 (*.f64 1/2 K))
(exp.f64 (log.f64 (cos.f64 (*.f64 K 1/2))))
(cos.f64 (*.f64 1/2 K))

eval43.0ms (0.4%)

Compiler: Compiled 2864 to 1594 computations (44.3% saved)

prune24.0ms (0.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	123	5	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	5	129

Error

0.0b

Counts

129 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.3b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
▶	0.5b	(+.f64 (.f64 (.f64 (+.f64 l l) J) (cos.f64 (/.f64 K 2))) U)
▶	0.4b	(+.f64 (.f64 (.f64 J (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2))) U)
▶	0.1b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K)))) U)
▶	0.0b	(+.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 1/2 K)))) U)

Compiler

Compiled 188 to 138 computations (26.6% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 56 to 35 computations (37.5% saved)

series18.0ms (0.2%)

Counts

4 → 76

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	K	@	-inf	(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
2.0ms	J	@	0	(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
1.0ms	l	@	inf	(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
1.0ms	l	@	-inf	(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
1.0ms	K	@	inf	(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`log-prod_binary64`
375×	`pow-prod-down_binary64`
312×	`pow2_binary64`
240×	`pow-unpow_binary64`
222×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	245	40
2	2901	40

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))) J)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))) J))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))) J))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))) J))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))) J))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 4 (pow.f64 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 4 (pow.f64 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sinh.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sinh.f64 l))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 l)))) (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sinh.f64 l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 l) 2) (/.f64 (exp.f64 (neg.f64 l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sinh.f64 (exp.f64 (log1p.f64 l))) (cosh.f64 1)) (.f64 (cosh.f64 (exp.f64 (log1p.f64 l))) (sinh.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sinh.f64 l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sinh.f64 l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sinh.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sinh.f64 l)) (pow.f64 (cbrt.f64 (sinh.f64 l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.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) 2) 1/2)))) (#(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 pow.f64 (/.f64 2 (.f64 2 (sinh.f64 l))) -1)))) (#(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 expm1.f64 (log1p.f64 (sinh.f64 l)))))) (#(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 exp.f64 (.f64 (.f64 3 (log.f64 (sinh.f64 l))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (sinh.f64 l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (sinh.f64 l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sinh.f64 l)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 1/2 K)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 1/2 K)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 1/2 K)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/2 K)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/2 K))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/2 K))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/2 K))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 1/2 K)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 1/2 K)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 1/2 K)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K)))) (cbrt.f64 (cos.f64 (.f64 1/2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) (sqrt.f64 (cos.f64 (.f64 1/2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (.f64 1/2 K)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (.f64 1/2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (.f64 1/2 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (.f64 1/2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (.f64 1/2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (.f64 1/2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (.f64 1/2 K))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 (.f64 1/2 K)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cos.f64 (*.f64 1/2 K))) 1) 1))))))

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

364×	`log-prod_binary64`
330×	`associate-+l+_binary64`
321×	`associate-r_binary64`
310×	`associate-+r+_binary64`
287×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	346	2865
1	814	2710
2	3471	2608

Stop Event

1×	node limit

Counts

178 → 205

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.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)))))
(.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))))
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))))
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)))))
(+.f64 0 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))) J)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))) J))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))) J))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))) J))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))) 1)
(pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 1)
(pow.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) 3)
(pow.f64 (sqrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) 2)
(sqrt.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))) J))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))))
(exp.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) 1) 1))
(+.f64 0 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))))) 1)
(pow.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))) 1)
(pow.f64 (.f64 4 (pow.f64 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))) 2)) 1/2)
(pow.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))))) 3)
(pow.f64 (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))))) 2)
(sqrt.f64 (.f64 4 (pow.f64 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))) 2)))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))))))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))) 3))
(expm1.f64 (log1p.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))))))
(log1p.f64 (expm1.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))))))
(exp.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))))))
(exp.f64 (.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))))) 1) 1))
(+.f64 0 (sinh.f64 l))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sinh.f64 l))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 l)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 l)))) (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 l)))))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 l))) 1)
(-.f64 (/.f64 (exp.f64 l) 2) (/.f64 (exp.f64 (neg.f64 l)) 2))
(-.f64 (.f64 (sinh.f64 (exp.f64 (log1p.f64 l))) (cosh.f64 1)) (.f64 (cosh.f64 (exp.f64 (log1p.f64 l))) (sinh.f64 1)))
(*.f64 (sinh.f64 l) 1)
(.f64 (.f64 2 (sinh.f64 l)) 1/2)
(*.f64 1 (sinh.f64 l))
(*.f64 (cbrt.f64 (sinh.f64 l)) (pow.f64 (cbrt.f64 (sinh.f64 l)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 l)) 2) (cbrt.f64 (sinh.f64 l)))
(*.f64 (sqrt.f64 (sinh.f64 l)) (sqrt.f64 (sinh.f64 l)))
(/.f64 (*.f64 2 (sinh.f64 l)) 2)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 l))))
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 l))) -2)
(pow.f64 (sinh.f64 l) 1)
(pow.f64 (pow.f64 (sinh.f64 l) 2) 1/2)
(pow.f64 (pow.f64 (sinh.f64 l) 3) 1/3)
(pow.f64 (cbrt.f64 (sinh.f64 l)) 3)
(pow.f64 (sqrt.f64 (sinh.f64 l)) 2)
(pow.f64 (/.f64 2 (*.f64 2 (sinh.f64 l))) -1)
(sqrt.f64 (pow.f64 (sinh.f64 l) 2))
(log.f64 (exp.f64 (sinh.f64 l)))
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 l))))
(cbrt.f64 (pow.f64 (sinh.f64 l) 3))
(expm1.f64 (log1p.f64 (sinh.f64 l)))
(log1p.f64 (expm1.f64 (sinh.f64 l)))
(exp.f64 (log.f64 (sinh.f64 l)))
(exp.f64 (*.f64 (log.f64 (sinh.f64 l)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (sinh.f64 l))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sinh.f64 l))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sinh.f64 l))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sinh.f64 l)) 1) 1))
(+.f64 0 (cos.f64 (*.f64 1/2 K)))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 1/2 K)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 1/2 K)))) (sin.f64 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/2 K)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/2 K))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/2 K))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/2 K))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 K)))) 1)
(.f64 (cos.f64 (.f64 1/2 K)) 1)
(.f64 1 (cos.f64 (.f64 1/2 K)))
(.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K)))))
(.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K)))) (cbrt.f64 (cos.f64 (*.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) (sqrt.f64 (cos.f64 (*.f64 1/2 K))))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) 1/2)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 3) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 K))) 3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 K))) 2)
(sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 K))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 K)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 K))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 K))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 K))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 1/2 K))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 (*.f64 1/2 K)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 (*.f64 1/2 K))) 1) 1))

Outputs
(.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) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
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(+.f64 (exp.f64 l) (-.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 (.f64 K (.f64 K -1/8)) (fma.f64 -1/46080 (pow.f64 K 6) (.f64 1/384 (pow.f64 K 4))))) (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 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
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))))
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))))
(fma.f64 -1/8 (.f64 K K) (+.f64 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 -1/8 (.f64 K K) 1) (fma.f64 1/384 (pow.f64 K 4) (.f64 -1/46080 (pow.f64 K 6))))
(+.f64 0 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))) J)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))) J))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) 2)) J)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) 2)) J))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) 2)) J))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))) J))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))) J))))
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))) 1)
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 1)
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(pow.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 2) 1/2)
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(pow.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 3) 1/3)
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(pow.f64 (cbrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) 3)
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(pow.f64 (sqrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) 2)
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(sqrt.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 2))
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))) J))
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))))
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(cbrt.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 3))
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(expm1.f64 (log1p.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))))
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(log1p.f64 (expm1.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))))
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(exp.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))))
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))))) 1))
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))) 1/3))
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))))) 3))
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))))) 2))
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) 1) 1))
(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(+.f64 0 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 (cos.f64 (.f64 1/2 K)) 2)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))))) 1)
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))
(pow.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))) 1)
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))
(pow.f64 (.f64 4 (pow.f64 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))) 2)) 1/2)
(sqrt.f64 (.f64 4 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)) 2)))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l))) 2))
(fabs.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l))))
(pow.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))) 3) 1/3)
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))
(pow.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))))) 3)
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))
(pow.f64 (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))))) 2)
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))
(sqrt.f64 (.f64 4 (pow.f64 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))) 2)))
(sqrt.f64 (.f64 4 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)) 2)))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l))) 2))
(fabs.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l))))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))) 3))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))
(expm1.f64 (log1p.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))
(log1p.f64 (expm1.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))
(exp.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))
(exp.f64 (.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) 1))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) 3)) 1/3))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))) 3))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))) 2))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))))) 1) 1))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))
(+.f64 0 (sinh.f64 l))
(sinh.f64 l)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sinh.f64 l))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 l)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 l)))))
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(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 l)))))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 l))) 1)
(sinh.f64 l)
(-.f64 (/.f64 (exp.f64 l) 2) (/.f64 (exp.f64 (neg.f64 l)) 2))
(sinh.f64 l)
(-.f64 (.f64 (sinh.f64 (exp.f64 (log1p.f64 l))) (cosh.f64 1)) (.f64 (cosh.f64 (exp.f64 (log1p.f64 l))) (sinh.f64 1)))
(*.f64 (sinh.f64 l) 1)
(sinh.f64 l)
(.f64 (.f64 2 (sinh.f64 l)) 1/2)
(sinh.f64 l)
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(sinh.f64 l)
(*.f64 (cbrt.f64 (sinh.f64 l)) (pow.f64 (cbrt.f64 (sinh.f64 l)) 2))
(sinh.f64 l)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 l)) 2) (cbrt.f64 (sinh.f64 l)))
(sinh.f64 l)
(*.f64 (sqrt.f64 (sinh.f64 l)) (sqrt.f64 (sinh.f64 l)))
(sinh.f64 l)
(/.f64 (*.f64 2 (sinh.f64 l)) 2)
(sinh.f64 l)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 l))))
(sinh.f64 l)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 l))) -2)
(sinh.f64 l)
(pow.f64 (sinh.f64 l) 1)
(sinh.f64 l)
(pow.f64 (pow.f64 (sinh.f64 l) 2) 1/2)
(sinh.f64 l)
(pow.f64 (pow.f64 (sinh.f64 l) 3) 1/3)
(sinh.f64 l)
(pow.f64 (cbrt.f64 (sinh.f64 l)) 3)
(sinh.f64 l)
(pow.f64 (sqrt.f64 (sinh.f64 l)) 2)
(sinh.f64 l)
(pow.f64 (/.f64 2 (*.f64 2 (sinh.f64 l))) -1)
(sinh.f64 l)
(sqrt.f64 (pow.f64 (sinh.f64 l) 2))
(sinh.f64 l)
(log.f64 (exp.f64 (sinh.f64 l)))
(sinh.f64 l)
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 l))))
(sinh.f64 l)
(cbrt.f64 (pow.f64 (sinh.f64 l) 3))
(sinh.f64 l)
(expm1.f64 (log1p.f64 (sinh.f64 l)))
(sinh.f64 l)
(log1p.f64 (expm1.f64 (sinh.f64 l)))
(sinh.f64 l)
(exp.f64 (log.f64 (sinh.f64 l)))
(sinh.f64 l)
(exp.f64 (*.f64 (log.f64 (sinh.f64 l)) 1))
(sinh.f64 l)
(exp.f64 (.f64 (.f64 3 (log.f64 (sinh.f64 l))) 1/3))
(sinh.f64 l)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sinh.f64 l))) 3))
(sinh.f64 l)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sinh.f64 l))) 2))
(sinh.f64 l)
(exp.f64 (.f64 (.f64 (log.f64 (sinh.f64 l)) 1) 1))
(sinh.f64 l)
(+.f64 0 (cos.f64 (*.f64 1/2 K)))
(cos.f64 (*.f64 1/2 K))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 1/2 K)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 1/2 K)))) (sin.f64 1)))
(fma.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 1/2 K)))) (cos.f64 1) (.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 1/2 K)))) (sin.f64 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/2 K)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/2 K))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/2 K))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/2 K))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/2 K))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/2 K))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 K)))) 1)
(cos.f64 (*.f64 1/2 K))
(.f64 (cos.f64 (.f64 1/2 K)) 1)
(cos.f64 (*.f64 1/2 K))
(.f64 1 (cos.f64 (.f64 1/2 K)))
(cos.f64 (*.f64 1/2 K))
(.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K)))))
(.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) (cbrt.f64 (fma.f64 1/2 (cos.f64 K) 1/2)))
(.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K)))) (cbrt.f64 (cos.f64 (*.f64 1/2 K))))
(.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K)))))
(.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) (cbrt.f64 (fma.f64 1/2 (cos.f64 K) 1/2)))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) (sqrt.f64 (cos.f64 (*.f64 1/2 K))))
(cos.f64 (*.f64 1/2 K))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1)
(cos.f64 (*.f64 1/2 K))
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) 1/2)
(sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))
(sqrt.f64 (fma.f64 1/2 (cos.f64 K) 1/2))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 3) 1/3)
(cos.f64 (*.f64 1/2 K))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 K))) 3)
(cos.f64 (*.f64 1/2 K))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 K))) 2)
(cos.f64 (*.f64 1/2 K))
(sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))
(sqrt.f64 (fma.f64 1/2 (cos.f64 K) 1/2))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 K))))
(cos.f64 (*.f64 1/2 K))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 K)))))
(cos.f64 (*.f64 1/2 K))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 3))
(cos.f64 (*.f64 1/2 K))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 K))))
(cos.f64 (*.f64 1/2 K))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 K))))
(cos.f64 (*.f64 1/2 K))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 K))))
(cos.f64 (*.f64 1/2 K))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 1/2 K))) 1))
(cos.f64 (*.f64 1/2 K))
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 (*.f64 1/2 K)))) 1/3))
(cos.f64 (*.f64 1/2 K))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K)))) 3))
(cos.f64 (*.f64 1/2 K))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K)))) 2))
(cos.f64 (*.f64 1/2 K))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 (*.f64 1/2 K))) 1) 1))
(cos.f64 (*.f64 1/2 K))

localize49.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 46 to 21 computations (54.3% saved)

series11.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`log-prod_binary64`
369×	`fma-def_binary64`
335×	`pow2_binary64`
240×	`pow-unpow_binary64`
233×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	265	31
2	3676	25

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

104×	`associate-r_binary64`
103×	`associate-l_binary64`
93×	`fma-def_binary64`
77×	`*-commutative_binary64`
53×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	3086
1	561	3086
2	1769	3086

Stop Event

1×

unsound

Counts

164 → 126

Calls

Call 1

Inputs
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J)))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (.f64 -1/23040 (.f64 (pow.f64 K 6) (*.f64 l J))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.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))) 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))) U)
(.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))) 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))) U)
(.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))) 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))) 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))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(.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))) 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))) U)
(.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))) 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))) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))) U))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) U)))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (+.f64 (.f64 -1/23040 (.f64 (pow.f64 K 6) (*.f64 l 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))) 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))) 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))) 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))) U)
(.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))) 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))) 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))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) 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))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 0 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))))) 1)
(/.f64 (.f64 (.f64 2 (pow.f64 l 3)) (.f64 J (cos.f64 (.f64 K 1/2)))) (fma.f64 l l 0))
(/.f64 (.f64 0 (.f64 J (cos.f64 (*.f64 K 1/2)))) 0)
(pow.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))) 1)
(pow.f64 (.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))) 1/2)
(pow.f64 (.f64 (+.f64 l l) (cbrt.f64 (cos.f64 (.f64 K 1/2)))) 3)
(pow.f64 (.f64 (+.f64 l l) (sqrt.f64 (cos.f64 (.f64 K 1/2)))) 2)
(pow.f64 (.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 K 1/2)) 3)) 1/3)
(sqrt.f64 (.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (*.f64 K 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))))))
(cbrt.f64 (.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 K 1/2)) 3)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)))))
(exp.f64 (log.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U))) 1)
(-.f64 (/.f64 (.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))) (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) (neg.f64 U))))
(.f64 (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) U) 1)
(.f64 1 (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) U))
(.f64 (cbrt.f64 (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) U)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) U)) 2) (cbrt.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)))
(.f64 (sqrt.f64 (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) U)) (sqrt.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)))
(.f64 (fma.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 K 1/2)) 3) (pow.f64 U 3)) (/.f64 1 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (-.f64 U (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))))))))
(.f64 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (neg.f64 (.f64 U U))) (/.f64 1 (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) (neg.f64 U))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (-.f64 U (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)))))) (fma.f64 (+.f64 l l) (pow.f64 (cos.f64 (*.f64 K 1/2)) 3) (pow.f64 U 3))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) (neg.f64 U)) (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (neg.f64 (*.f64 U U)))))
(/.f64 (fma.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 K 1/2)) 3) (pow.f64 U 3)) (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (-.f64 U (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)))))))
(/.f64 (fma.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 K 1/2)) 3) (pow.f64 U 3)) (fma.f64 U U (-.f64 (.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))) (.f64 (cos.f64 (.f64 K 1/2)) (.f64 (+.f64 l l) U)))))
(/.f64 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (neg.f64 (.f64 U U))) (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) (neg.f64 U)))
(/.f64 (neg.f64 (fma.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 K 1/2)) 3) (pow.f64 U 3))) (neg.f64 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (-.f64 U (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2))))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (neg.f64 (.f64 U U)))) (neg.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) (neg.f64 U))))
(/.f64 (-.f64 (.f64 U U) (.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) (-.f64 U (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)))))
(pow.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U) 1)
(pow.f64 (pow.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)) 2)
(pow.f64 (/.f64 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (-.f64 U (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)))))) (fma.f64 (+.f64 l l) (pow.f64 (cos.f64 (*.f64 K 1/2)) 3) (pow.f64 U 3))) -1)
(pow.f64 (/.f64 (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) (neg.f64 U)) (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (neg.f64 (*.f64 U U)))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2))))) (exp.f64 U)))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2))) (+.f64 1 (expm1.f64 U))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2))))) (+.f64 1 (expm1.f64 U))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 U)) (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2)))))
(log.f64 (.f64 (exp.f64 U) (+.f64 1 (expm1.f64 (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 U)) (+.f64 1 (expm1.f64 (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)))
(exp.f64 (log.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)))
(exp.f64 (.f64 (log.f64 (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) U)) 1))
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)
(fma.f64 (+.f64 l l) (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))) U)
(fma.f64 (+.f64 l l) (.f64 J (cos.f64 (.f64 K 1/2))) U)
(fma.f64 J (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l) U)
(fma.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))) (+.f64 l l) U)
(fma.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))) J U)
(fma.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))) 1 U)
(fma.f64 U 1 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))))
(fma.f64 1 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))) U)
(fma.f64 1 U (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))))
(fma.f64 (cbrt.f64 U) (pow.f64 (cbrt.f64 U) 2) (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 U) 2) (cbrt.f64 U) (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))))
(fma.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K)))) (.f64 (+.f64 l l) (cbrt.f64 (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 (.f64 (+.f64 l l) (cbrt.f64 (cos.f64 (.f64 K 1/2)))) (cbrt.f64 (.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) U)
(fma.f64 (cbrt.f64 (.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) (.f64 (+.f64 l l) (cbrt.f64 (cos.f64 (.f64 K 1/2)))) U)
(fma.f64 (sqrt.f64 U) (sqrt.f64 U) (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))))
(fma.f64 (sqrt.f64 (cos.f64 (.f64 K 1/2))) (.f64 (+.f64 l l) (sqrt.f64 (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 (.f64 (+.f64 l l) (sqrt.f64 (cos.f64 (.f64 K 1/2)))) (sqrt.f64 (cos.f64 (*.f64 K 1/2))) U)
(fma.f64 (.f64 (+.f64 l l) (sqrt.f64 (cos.f64 (.f64 K 1/2)))) (.f64 (+.f64 l l) (sqrt.f64 (cos.f64 (.f64 K 1/2)))) U)
(fma.f64 (.f64 J (cos.f64 (.f64 K 1/2))) (+.f64 l l) U)
(fma.f64 (.f64 (+.f64 l l) (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) (cbrt.f64 (cos.f64 (*.f64 K 1/2))) U)

Outputs
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 l J))
(*.f64 (+.f64 l l) J)
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(fma.f64 2 (.f64 l J) (.f64 -1/4 (.f64 (.f64 l J) (*.f64 K K))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J)))))
(fma.f64 2 (.f64 l J) (fma.f64 1/192 (.f64 (.f64 l J) (pow.f64 K 4)) (.f64 -1/4 (.f64 (.f64 l J) (*.f64 K K)))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (.f64 -1/23040 (.f64 (pow.f64 K 6) (*.f64 l J))))))
(fma.f64 2 (.f64 l J) (fma.f64 1/192 (.f64 (.f64 l J) (pow.f64 K 4)) (fma.f64 -1/4 (.f64 (.f64 l J) (.f64 K K)) (.f64 -1/23040 (.f64 (*.f64 l J) (pow.f64 K 6))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
U
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
U
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))) U))
(fma.f64 2 (.f64 l J) (fma.f64 -1/4 (.f64 (.f64 l J) (.f64 K K)) U))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) U)))
(fma.f64 2 (.f64 l J) (fma.f64 1/192 (.f64 (.f64 l J) (pow.f64 K 4)) (fma.f64 -1/4 (.f64 (.f64 l J) (.f64 K K)) U)))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (+.f64 (.f64 -1/23040 (.f64 (pow.f64 K 6) (*.f64 l J))) U))))
(fma.f64 2 (.f64 l J) (fma.f64 1/192 (.f64 (.f64 l J) (pow.f64 K 4)) (fma.f64 -1/4 (.f64 (.f64 l J) (.f64 K K)) (fma.f64 -1/23040 (.f64 (.f64 l J) (pow.f64 K 6)) U))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
U
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
U
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(+.f64 0 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))))
(.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 1/2 K)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 1/2 K))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2))))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 1/2 K))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))))) 1)
(.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)))
(/.f64 (.f64 (.f64 2 (pow.f64 l 3)) (.f64 J (cos.f64 (.f64 K 1/2)))) (fma.f64 l l 0))
(/.f64 (.f64 2 (pow.f64 l 3)) (/.f64 (fma.f64 l l 0) (.f64 J (cos.f64 (*.f64 1/2 K)))))
(/.f64 (.f64 0 (.f64 J (cos.f64 (*.f64 K 1/2)))) 0)
(/.f64 0 0)
(pow.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))) 1)
(.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)))
(pow.f64 (.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))) 1/2)
(sqrt.f64 (.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))))
(pow.f64 (.f64 (+.f64 l l) (cbrt.f64 (cos.f64 (.f64 K 1/2)))) 3)
(pow.f64 (.f64 (+.f64 l l) (cbrt.f64 (cos.f64 (.f64 1/2 K)))) 3)
(pow.f64 (.f64 (+.f64 l l) (sqrt.f64 (cos.f64 (.f64 K 1/2)))) 2)
(pow.f64 (.f64 (+.f64 l l) (sqrt.f64 (cos.f64 (.f64 1/2 K)))) 2)
(pow.f64 (.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 K 1/2)) 3)) 1/3)
(cbrt.f64 (.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 1/2 K)) 3)))
(sqrt.f64 (.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (*.f64 K 1/2))))
(.f64 (cos.f64 (.f64 1/2 K)) (log.f64 (pow.f64 (exp.f64 l) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))))))
(.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)))
(cbrt.f64 (.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 K 1/2)) 3)))
(cbrt.f64 (.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 1/2 K)) 3)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)))))
(.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)))
(log1p.f64 (expm1.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)))))
(.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)))
(exp.f64 (log.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)))))
(.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)))) 1))
(.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U))) 1)
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(-.f64 (/.f64 (.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))) (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) (neg.f64 U))))
(-.f64 (/.f64 (+.f64 l l) (/.f64 (fma.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)) (neg.f64 U)) (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) (/.f64 (.f64 U U) (fma.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)) (neg.f64 U))))
(.f64 (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) U) 1)
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(.f64 1 (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) U))
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(.f64 (cbrt.f64 (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) U)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)) 2))
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) U)) 2) (cbrt.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)))
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(.f64 (sqrt.f64 (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) U)) (sqrt.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)))
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(.f64 (fma.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 K 1/2)) 3) (pow.f64 U 3)) (/.f64 1 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (-.f64 U (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))))))))
(.f64 (fma.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 U 3)) (/.f64 1 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (-.f64 U (.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K))))))))
(.f64 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (neg.f64 (.f64 U U))) (/.f64 1 (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) (neg.f64 U))))
(.f64 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (neg.f64 U))) (/.f64 1 (fma.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)) (neg.f64 U))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (-.f64 U (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)))))) (fma.f64 (+.f64 l l) (pow.f64 (cos.f64 (*.f64 K 1/2)) 3) (pow.f64 U 3))))
(.f64 (fma.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 U 3)) (/.f64 1 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (-.f64 U (.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K))))))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) (neg.f64 U)) (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (neg.f64 (*.f64 U U)))))
(.f64 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (neg.f64 U))) (/.f64 1 (fma.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)) (neg.f64 U))))
(/.f64 (fma.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 K 1/2)) 3) (pow.f64 U 3)) (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (-.f64 U (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)))))))
(.f64 (fma.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 U 3)) (/.f64 1 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (-.f64 U (.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K))))))))
(/.f64 (fma.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 K 1/2)) 3) (pow.f64 U 3)) (fma.f64 U U (-.f64 (.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))) (.f64 (cos.f64 (.f64 K 1/2)) (.f64 (+.f64 l l) U)))))
(/.f64 (fma.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 U 3)) (fma.f64 U U (-.f64 (.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 U (+.f64 l l))))))
(/.f64 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (neg.f64 (.f64 U U))) (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) (neg.f64 U)))
(.f64 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (neg.f64 U))) (/.f64 1 (fma.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)) (neg.f64 U))))
(/.f64 (neg.f64 (fma.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 K 1/2)) 3) (pow.f64 U 3))) (neg.f64 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (-.f64 U (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2))))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 U 3))) (neg.f64 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (-.f64 U (.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K))))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (neg.f64 (.f64 U U)))) (neg.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) (neg.f64 U))))
(/.f64 (neg.f64 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (neg.f64 U)))) (neg.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) (neg.f64 U))))
(/.f64 (-.f64 (.f64 U U) (.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) (-.f64 U (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)))))
(/.f64 (-.f64 (.f64 U U) (.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) (-.f64 U (.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)))))
(pow.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U) 1)
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(pow.f64 (pow.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U) 2) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U) 2))
(pow.f64 (pow.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U) 3) 1/3)
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)) 3)
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)) 2)
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(pow.f64 (/.f64 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (-.f64 U (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)))))) (fma.f64 (+.f64 l l) (pow.f64 (cos.f64 (*.f64 K 1/2)) 3) (pow.f64 U 3))) -1)
(.f64 (fma.f64 (+.f64 l l) (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 U 3)) (/.f64 1 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (-.f64 U (.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K))))))))
(pow.f64 (/.f64 (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) (neg.f64 U)) (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (neg.f64 (*.f64 U U)))) -1)
(.f64 (fma.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (.f64 U (neg.f64 U))) (/.f64 1 (fma.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)) (neg.f64 U))))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U) 2))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)))
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U))))
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2))))) (exp.f64 U)))
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2))) (+.f64 1 (expm1.f64 U))))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 1/2 K))) (+.f64 1 (expm1.f64 U))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2))))) (+.f64 1 (expm1.f64 U))))
(+.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K))) (log.f64 (+.f64 1 (expm1.f64 U))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 U)) (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2)))))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 1/2 K))) (+.f64 1 (expm1.f64 U))))
(log.f64 (.f64 (exp.f64 U) (+.f64 1 (expm1.f64 (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)))))))
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(log.f64 (.f64 (+.f64 1 (expm1.f64 U)) (+.f64 1 (expm1.f64 (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)))))))
(+.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K))) (log.f64 (+.f64 1 (expm1.f64 U))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U) 3))
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)))
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)))
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(exp.f64 (log.f64 (fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)))
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(exp.f64 (.f64 (log.f64 (fma.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)) U)) 1))
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)) U)
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(fma.f64 (+.f64 l l) (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))) U)
(fma.f64 (+.f64 l l) (.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K))) U)
(fma.f64 (+.f64 l l) (.f64 J (cos.f64 (.f64 K 1/2))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 J (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l) U)
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(fma.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))) (+.f64 l l) U)
(fma.f64 (+.f64 l l) (.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K))) U)
(fma.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))) J U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))) 1 U)
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(fma.f64 U 1 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))))
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(fma.f64 1 (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))) U)
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(fma.f64 1 U (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))))
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(fma.f64 (cbrt.f64 U) (pow.f64 (cbrt.f64 U) 2) (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))))
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(fma.f64 (pow.f64 (cbrt.f64 U) 2) (cbrt.f64 U) (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))))
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(fma.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K)))) (.f64 (+.f64 l l) (cbrt.f64 (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K)))) (.f64 (+.f64 l l) (cbrt.f64 (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (.f64 (+.f64 l l) (cbrt.f64 (cos.f64 (.f64 K 1/2)))) (cbrt.f64 (.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) U)
(fma.f64 (.f64 (+.f64 l l) (cbrt.f64 (cos.f64 (.f64 1/2 K)))) (cbrt.f64 (.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) U)
(fma.f64 (cbrt.f64 (.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) (.f64 (+.f64 l l) (cbrt.f64 (cos.f64 (.f64 K 1/2)))) U)
(fma.f64 (.f64 (+.f64 l l) (cbrt.f64 (cos.f64 (.f64 1/2 K)))) (cbrt.f64 (.f64 (+.f64 l l) (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) U)
(fma.f64 (sqrt.f64 U) (sqrt.f64 U) (.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2))))
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(fma.f64 (sqrt.f64 (cos.f64 (.f64 K 1/2))) (.f64 (+.f64 l l) (sqrt.f64 (cos.f64 (*.f64 K 1/2)))) U)
(fma.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) (.f64 (+.f64 l l) (sqrt.f64 (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (.f64 (+.f64 l l) (sqrt.f64 (cos.f64 (.f64 K 1/2)))) (sqrt.f64 (cos.f64 (*.f64 K 1/2))) U)
(fma.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) (.f64 (+.f64 l l) (sqrt.f64 (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (.f64 (+.f64 l l) (sqrt.f64 (cos.f64 (.f64 K 1/2)))) (.f64 (+.f64 l l) (sqrt.f64 (cos.f64 (.f64 K 1/2)))) U)
(+.f64 (pow.f64 (.f64 (+.f64 l l) (sqrt.f64 (cos.f64 (.f64 1/2 K)))) 2) U)
(fma.f64 (.f64 J (cos.f64 (.f64 K 1/2))) (+.f64 l l) U)
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (.f64 (+.f64 l l) (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) (cbrt.f64 (cos.f64 (*.f64 K 1/2))) U)
(fma.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K)))) (.f64 (+.f64 l l) (cbrt.f64 (cos.f64 (*.f64 1/2 K)))) U)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
	4.6b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series2.0ms (0%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	l	@	0	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
0.0ms	l	@	inf	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
0.0ms	J	@	inf	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
0.0ms	J	@	-inf	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
0.0ms	l	@	-inf	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)

rewrite26.0ms (0.2%)

Algorithm

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

Rules

90×	`add-sqr-sqrt_binary64`
86×	`*-un-lft-identity_binary64`
86×	`pow1_binary64`
85×	`add-log-exp_binary64`
83×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	169	9
2	2768	9
0	8	9

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 6

Calls

Call 1

Inputs
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)

Outputs

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

simplify43.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

658×	`fma-def_binary64`
655×	`associate-*l/_binary64`
653×	`associate-*r/_binary64`
414×	`*-commutative_binary64`
284×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	218
1	130	215
2	408	204
3	1753	162
4	6996	162

Stop Event

1×	node limit

Counts

14 → 27

Calls

Call 1

Inputs
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J)))))
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(pow.f64 (.f64 (.f64 2 (sinh.f64 l)) J) 1)
(log.f64 (exp.f64 (.f64 (.f64 2 (sinh.f64 l)) J)))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (sinh.f64 l)) J) (.f64 (.f64 2 (sinh.f64 l)) J)) (.f64 (.f64 2 (sinh.f64 l)) J)))
(expm1.f64 (log1p.f64 (.f64 (.f64 2 (sinh.f64 l)) J)))
(log1p.f64 (expm1.f64 (.f64 (.f64 2 (sinh.f64 l)) J)))
(exp.f64 (log.f64 (.f64 (.f64 2 (sinh.f64 l)) J)))

Outputs
(.f64 2 (.f64 l J))
(.f64 J (.f64 2 l))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 J (pow.f64 l 3))))
(.f64 J (+.f64 (.f64 2 l) (*.f64 1/3 (pow.f64 l 3))))
(.f64 J (fma.f64 2 l (.f64 1/3 (pow.f64 l 3))))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J))))
(fma.f64 2 (.f64 l J) (fma.f64 1/3 (.f64 J (pow.f64 l 3)) (.f64 1/60 (.f64 J (pow.f64 l 5)))))
(fma.f64 2 (.f64 l J) (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5)))))
(.f64 J (+.f64 (.f64 1/60 (pow.f64 l 5)) (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))))
(.f64 J (fma.f64 l (fma.f64 1/3 (.f64 l l) 2) (*.f64 1/60 (pow.f64 l 5))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J)))))
(fma.f64 2 (.f64 l J) (fma.f64 1/2520 (.f64 J (pow.f64 l 7)) (fma.f64 1/3 (.f64 J (pow.f64 l 3)) (.f64 1/60 (*.f64 J (pow.f64 l 5))))))
(fma.f64 2 (.f64 l J) (fma.f64 1/2520 (.f64 J (pow.f64 l 7)) (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/60 (pow.f64 l 5))))))
(.f64 J (+.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 1/60 (pow.f64 l 5))) (fma.f64 2 l (*.f64 1/2520 (pow.f64 l 7)))))
(.f64 J (+.f64 (.f64 1/2520 (pow.f64 l 7)) (fma.f64 l (fma.f64 1/3 (.f64 l l) 2) (.f64 1/60 (pow.f64 l 5)))))
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (sinh.f64 l) (.f64 2 J))
(*.f64 (sinh.f64 l) (+.f64 J J))
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (sinh.f64 l) (.f64 2 J))
(*.f64 (sinh.f64 l) (+.f64 J J))
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (sinh.f64 l) (.f64 2 J))
(*.f64 (sinh.f64 l) (+.f64 J J))
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (sinh.f64 l) (.f64 2 J))
(*.f64 (sinh.f64 l) (+.f64 J J))
(pow.f64 (.f64 (.f64 2 (sinh.f64 l)) J) 1)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (sinh.f64 l) (.f64 2 J))
(*.f64 (sinh.f64 l) (+.f64 J J))
(log.f64 (exp.f64 (.f64 (.f64 2 (sinh.f64 l)) J)))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (sinh.f64 l) (.f64 2 J))
(*.f64 (sinh.f64 l) (+.f64 J J))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (sinh.f64 l)) J) (.f64 (.f64 2 (sinh.f64 l)) J)) (.f64 (.f64 2 (sinh.f64 l)) J)))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (sinh.f64 l) (.f64 2 J))
(*.f64 (sinh.f64 l) (+.f64 J J))
(expm1.f64 (log1p.f64 (.f64 (.f64 2 (sinh.f64 l)) J)))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (sinh.f64 l) (.f64 2 J))
(*.f64 (sinh.f64 l) (+.f64 J J))
(log1p.f64 (expm1.f64 (.f64 (.f64 2 (sinh.f64 l)) J)))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (sinh.f64 l) (.f64 2 J))
(*.f64 (sinh.f64 l) (+.f64 J J))
(exp.f64 (log.f64 (.f64 (.f64 2 (sinh.f64 l)) J)))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (sinh.f64 l) (.f64 2 J))
(*.f64 (sinh.f64 l) (+.f64 J J))

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 33 computations (37.7% saved)

series29.0ms (0.3%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
24.0ms	K	@	inf	(.f64 J (cos.f64 (.f64 1/2 K)))
0.0ms	J	@	inf	(.f64 J (cos.f64 (.f64 1/2 K)))
0.0ms	K	@	0	(.f64 J (cos.f64 (.f64 1/2 K)))
0.0ms	J	@	0	(.f64 J (cos.f64 (.f64 1/2 K)))
0.0ms	J	@	-inf	(.f64 J (cos.f64 (.f64 1/2 K)))

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`log-prod_binary64`
378×	`pow-prod-down_binary64`
312×	`pow2_binary64`
236×	`pow-unpow_binary64`
222×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	245	26
2	2901	26

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

836×	`fma-def_binary64`
430×	`log-prod_binary64`
405×	`distribute-rgt-in_binary64`
400×	`distribute-lft-in_binary64`
329×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	1870
1	434	1786
2	1456	1736
3	6289	1524

Stop Event

1×	node limit

Counts

102 → 95

Calls

Call 1

Inputs
(.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 (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 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)))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
J
(+.f64 (.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 0 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))) (.f64 2 (sinh.f64 l)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))) (.f64 2 (sinh.f64 l))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))) (.f64 2 (sinh.f64 l))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))) (.f64 2 (sinh.f64 l))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K)))))) 1)
(pow.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K)))) 1)
(pow.f64 (.f64 4 (pow.f64 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K))) 2)) 1/2)
(pow.f64 (pow.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K))))) 3)
(pow.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K))))) 2)
(sqrt.f64 (.f64 4 (pow.f64 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K))) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))) (.f64 2 (sinh.f64 l))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K)))))))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K)))) 3))
(expm1.f64 (log1p.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K))))))
(log1p.f64 (expm1.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K))))))
(exp.f64 (log.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K))))))
(exp.f64 (.f64 (log.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (*.f64 1/2 K))))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K)))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (*.f64 1/2 K)))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (*.f64 1/2 K)))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K))))) 1) 1))
(+.f64 0 (.f64 J (cos.f64 (.f64 1/2 K))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 J (cos.f64 (.f64 1/2 K))))) 1)
(pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 1)
(pow.f64 (pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 3)
(pow.f64 (sqrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 2)
(sqrt.f64 (pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 2))
(log.f64 (pow.f64 (exp.f64 J) (cos.f64 (*.f64 1/2 K))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 J (cos.f64 (.f64 1/2 K))))))
(cbrt.f64 (pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 3))
(expm1.f64 (log1p.f64 (.f64 J (cos.f64 (.f64 1/2 K)))))
(log1p.f64 (expm1.f64 (.f64 J (cos.f64 (.f64 1/2 K)))))
(exp.f64 (log.f64 (.f64 J (cos.f64 (.f64 1/2 K)))))
(exp.f64 (.f64 (log.f64 (.f64 J (cos.f64 (*.f64 1/2 K)))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 J (cos.f64 (*.f64 1/2 K))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 J (cos.f64 (*.f64 1/2 K))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 1) 1))

Outputs
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) 2))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (pow.f64 l 3)))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) (.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 J (pow.f64 l 3)))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 5) J))) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J)))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) (fma.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (pow.f64 l 5))) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (pow.f64 l 3))))))
(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 J (pow.f64 l 3))) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 J (pow.f64 l 5)) 1/60))))
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 2 (.f64 l J)) (.f64 1/60 (*.f64 J (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 J (pow.f64 l 5))) (fma.f64 1/2520 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (pow.f64 l 7))) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (pow.f64 l 3)))))))
(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 J (pow.f64 l 5))) (fma.f64 1/2520 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (pow.f64 l 7))) (.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (cos.f64 (*.f64 1/2 K))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 J (pow.f64 l 3))))) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/60 (.f64 J (pow.f64 l 5))) (.f64 1/2520 (.f64 J (pow.f64 l 7))))))
(.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (sinh.f64 l) (.f64 2 J))
(+.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)))))
(fma.f64 -1/8 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 K K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (+.f64 (.f64 -1/8 (.f64 K K)) 1) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (fma.f64 -1/8 (*.f64 K K) 1)))
(.f64 (.f64 2 (sinh.f64 l)) (.f64 J (fma.f64 -1/8 (.f64 K K) 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 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(fma.f64 -1/8 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 K K)) (fma.f64 1/384 (.f64 (.f64 J (pow.f64 K 4)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.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 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 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (+.f64 (.f64 K (.f64 K -1/8)) (fma.f64 1/384 (pow.f64 K 4) 1)))
(.f64 (.f64 (sinh.f64 l) (.f64 2 J)) (+.f64 (.f64 K (*.f64 K -1/8)) (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 -1/46080 (.f64 (pow.f64 K 6) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))))
(fma.f64 -1/8 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 K K)) (fma.f64 1/384 (.f64 (.f64 J (pow.f64 K 4)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 -1/46080 (.f64 (.f64 J (pow.f64 K 6)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))))
(+.f64 (.f64 (+.f64 (.f64 -1/46080 (pow.f64 K 6)) 1) (.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))) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (fma.f64 -1/46080 (pow.f64 K 6) 1) J)))
(fma.f64 (.f64 (sinh.f64 l) (.f64 2 J)) (fma.f64 -1/8 (.f64 K K) (.f64 1/384 (pow.f64 K 4))) (.f64 (.f64 2 (sinh.f64 l)) (*.f64 (fma.f64 -1/46080 (pow.f64 K 6) 1) 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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.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) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
J
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)
(fma.f64 -1/8 (.f64 J (.f64 K K)) J)
(fma.f64 -1/8 (.f64 K (.f64 K J)) 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)) (fma.f64 -1/8 (.f64 K (*.f64 K J)) J))
(fma.f64 J (fma.f64 -1/8 (.f64 K K) (.f64 1/384 (pow.f64 K 4))) 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)))
(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)))
(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 K (.f64 K J)) J)))
(fma.f64 J (fma.f64 1/384 (pow.f64 K 4) (.f64 -1/46080 (pow.f64 K 6))) (.f64 J (fma.f64 -1/8 (*.f64 K K) 1)))
(.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 0 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))) (.f64 2 (sinh.f64 l)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))) (.f64 2 (sinh.f64 l))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))) (*.f64 2 (sinh.f64 l))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))) (.f64 2 (sinh.f64 l))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))) (.f64 2 (sinh.f64 l))))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K)))))) 1)
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(pow.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K)))) 1)
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(pow.f64 (.f64 4 (pow.f64 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K))) 2)) 1/2)
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(pow.f64 (pow.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K)))) 3) 1/3)
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(pow.f64 (cbrt.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K))))) 3)
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(pow.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K))))) 2)
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(sqrt.f64 (.f64 4 (pow.f64 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K))) 2)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))) (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K)))))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K)))) 3))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(expm1.f64 (log1p.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K))))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(log1p.f64 (expm1.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K))))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(exp.f64 (log.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K))))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(exp.f64 (.f64 (log.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (*.f64 1/2 K))))) 1))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K)))))) 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (*.f64 1/2 K)))))) 3))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (*.f64 1/2 K)))))) 2))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 2 (.f64 (.f64 (sinh.f64 l) J) (cos.f64 (.f64 1/2 K))))) 1) 1))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(+.f64 0 (.f64 J (cos.f64 (.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(-.f64 (exp.f64 (log1p.f64 (.f64 J (cos.f64 (.f64 1/2 K))))) 1)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 1)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(pow.f64 (pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 2) 1/2)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(pow.f64 (pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 3) 1/3)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(pow.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 3)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(pow.f64 (sqrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 2)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(sqrt.f64 (pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 2))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(log.f64 (pow.f64 (exp.f64 J) (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(log.f64 (+.f64 1 (expm1.f64 (.f64 J (cos.f64 (.f64 1/2 K))))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(cbrt.f64 (pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 3))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(expm1.f64 (log1p.f64 (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(log1p.f64 (expm1.f64 (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(exp.f64 (log.f64 (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(exp.f64 (.f64 (log.f64 (.f64 J (cos.f64 (*.f64 1/2 K)))) 1))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) 3)) 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 J (cos.f64 (*.f64 1/2 K))))) 3))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 J (cos.f64 (*.f64 1/2 K))))) 2))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(exp.f64 (.f64 (.f64 (log.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 1) 1))
(.f64 (cos.f64 (.f64 1/2 K)) J)

localize62.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 J (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2)))
✓	0.3b	(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))
✓	0.5b	(.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))
✓	0.6b	(cbrt.f64 (*.f64 2 (sinh.f64 l)))

Compiler

Compiled 124 to 79 computations (36.3% saved)

series57.0ms (0.5%)

Counts

4 → 64

Calls

18 calls:

Time	Variable		Point	Expression
23.0ms	l	@	-inf	(.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))
6.0ms	l	@	0	(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))
4.0ms	J	@	0	(.f64 (.f64 J (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2)))
3.0ms	l	@	inf	(cbrt.f64 (*.f64 2 (sinh.f64 l)))
3.0ms	l	@	inf	(.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`log-prod_binary64`
467×	`pow-prod-down_binary64`
334×	`pow2_binary64`
322×	`pow-unpow_binary64`
239×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	287	42
2	3351	42

Stop Event

1×	node limit

Counts

4 → 109

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 2) (cbrt.f64 (sinh.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))) 2) (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sinh.f64 l)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 2 (sinh.f64 l)) 1/6) (pow.f64 (.f64 2 (sinh.f64 l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (sinh.f64 l)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (sinh.f64 l)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (sinh.f64 l)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 l))) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (sinh.f64 l)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (sinh.f64 l)) 3) 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (sinh.f64 l)) 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 (.f64 2 (sinh.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (*.f64 2 (sinh.f64 l)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sinh.f64 l) (sinh.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (sinh.f64 l)) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 l)))) (sqrt.f64 (exp.f64 (neg.f64 l))) (exp.f64 (neg.f64 l))))))) (#(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 0 (.f64 2 (sinh.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (exp.f64 l) (neg.f64 (.f64 (exp.f64 (neg.f64 l)) 1))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 l))) 1 (.f64 (exp.f64 (neg.f64 l)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 l)) 2) (cbrt.f64 (exp.f64 l)) (neg.f64 (.f64 (exp.f64 (neg.f64 l)) 1))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 l))) 1 (.f64 (exp.f64 (neg.f64 l)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (exp.f64 l)) (sqrt.f64 (exp.f64 l)) (neg.f64 (.f64 (exp.f64 (neg.f64 l)) 1))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 l))) 1 (.f64 (exp.f64 (neg.f64 l)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (exp.f64 l) (neg.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (neg.f64 l)))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2) (.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 l)) 2) (cbrt.f64 (exp.f64 l)) (neg.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (neg.f64 l)))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2) (.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (exp.f64 l)) (sqrt.f64 (exp.f64 l)) (neg.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (neg.f64 l)))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2) (.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (sinh.f64 l))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (sinh.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2 (sinh.f64 l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 l) 3) (pow.f64 (exp.f64 (neg.f64 l)) 3)) (+.f64 (pow.f64 (exp.f64 l) 2) (+.f64 (pow.f64 (exp.f64 (neg.f64 l)) 2) (.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 l) 2) (pow.f64 (exp.f64 (neg.f64 l)) 2)) (.f64 2 (cosh.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (sinh.f64 l)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (sinh.f64 l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (sinh.f64 l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (sinh.f64 l)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (sinh.f64 l)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (sinh.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 2 (sinh.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (exp.f64 l)) (exp.f64 (exp.f64 (neg.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 2 (sinh.f64 l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 l)) 2) (cbrt.f64 (exp.f64 l)) (neg.f64 (exp.f64 (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 l)) (sqrt.f64 (exp.f64 l)) (neg.f64 (exp.f64 (neg.f64 l))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 K 1/2))) (.f64 2 (.f64 (sinh.f64 l) J)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 K 1/2))) (.f64 2 (.f64 (sinh.f64 l) J))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 K 1/2))) (.f64 2 (.f64 (sinh.f64 l) J))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 K 1/2))) (.f64 2 (.f64 (sinh.f64 l) J))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 K 1/2))) (.f64 2 (.f64 (sinh.f64 l) J))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2)))) 1))))))

simplify128.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

569×	`log-prod_binary64`
347×	`log-div_binary64`
235×	`fma-neg_binary64`
213×	`associate-+l+_binary64`
204×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	8589937393
1	778	2746
2	2454	2646
3	7025	2646

Stop Event

1×	node limit

Counts

173 → 183

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
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(sqrt.f64 (pow.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 K 1/2))) (.f64 2 (*.f64 (sinh.f64 l) J))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2))) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2)))))
(exp.f64 (log.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 K 1/2)))) 1))

Outputs
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2)) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2)) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2)) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2)) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2)) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2)) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2)) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2)) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(*.f64 2 l)
(*.f64 l 2)
(+.f64 l l)
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
(fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2))
(fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))
(fma.f64 1/3 (pow.f64 l 3) (+.f64 l l))
(+.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 l 2)))
(fma.f64 1/3 (pow.f64 l 3) (fma.f64 l 2 (*.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 l 2))))
(fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/2520 (pow.f64 l 7) (fma.f64 l 2 (*.f64 1/60 (pow.f64 l 5)))))
(-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))
(-.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 (exp.f64 l) (/.f64 1 (exp.f64 l)))
(-.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 (exp.f64 l) (/.f64 1 (exp.f64 l)))
(-.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 (exp.f64 l) (/.f64 1 (exp.f64 l)))
(-.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 (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))
(.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))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) (.f64 1/3 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) (pow.f64 l 3)) J)))
(fma.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J)) (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.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)))))
(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 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3)) J))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) (fma.f64 (.f64 1/3 (cos.f64 (.f64 1/2 K))) (.f64 (pow.f64 l 3) J) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 (pow.f64 l 5) J) 1/60))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (*.f64 (pow.f64 l 5) 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))))))
(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 (.f64 (cos.f64 (*.f64 1/2 K)) (pow.f64 l 3)) J)))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) (fma.f64 1/60 (.f64 (pow.f64 l 5) (.f64 (cos.f64 (.f64 1/2 K)) J)) (fma.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J)) (.f64 1/2520 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (pow.f64 l 7) J))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 (.f64 (pow.f64 l 5) J) 1/60) (.f64 (.f64 (pow.f64 l 7) J) 1/2520))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.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 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J (.f64 -1/8 (.f64 (.f64 (.f64 K K) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(.f64 (+.f64 (.f64 (.f64 -1/8 K) K) 1) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 J (.f64 -1/8 (.f64 K (.f64 K J)))))
(+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (.f64 1/384 (.f64 (pow.f64 K 4) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J (fma.f64 -1/8 (.f64 (.f64 (.f64 K K) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 1/384 (.f64 (.f64 (pow.f64 K 4) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(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 (.f64 -1/8 K) K) (*.f64 1/384 (pow.f64 K 4)))))
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(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 l))) 2)
(*.f64 2 (sinh.f64 l))
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 l)) 1/6) 6)
(*.f64 2 (sinh.f64 l))
(sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2)))
(fabs.f64 (*.f64 2 (sinh.f64 l)))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 l)))
(*.f64 2 (sinh.f64 l))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (sinh.f64 l)))))
(*.f64 2 (sinh.f64 l))
(log.f64 (/.f64 (exp.f64 (exp.f64 l)) (exp.f64 (exp.f64 (neg.f64 l)))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 l)) 3))
(*.f64 2 (sinh.f64 l))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 l))))
(*.f64 2 (sinh.f64 l))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 l))))
(*.f64 2 (sinh.f64 l))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 l))))
(*.f64 2 (sinh.f64 l))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))) 3))
(*.f64 2 (sinh.f64 l))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 l))) 1))
(*.f64 2 (sinh.f64 l))
(fma.f64 1 (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 l)) 2) (cbrt.f64 (exp.f64 l)) (neg.f64 (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(fma.f64 (sqrt.f64 (exp.f64 l)) (sqrt.f64 (exp.f64 l)) (neg.f64 (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 0 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 K 1/2))) (.f64 2 (.f64 (sinh.f64 l) J)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 K 1/2))) (.f64 2 (.f64 (sinh.f64 l) J))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 1/2 K))) (.f64 2 (.f64 J (sinh.f64 l))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 1/2 K))) (.f64 2 (.f64 J (sinh.f64 l)))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 1/2 K))) (.f64 2 (.f64 J (sinh.f64 l)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 K 1/2))) (.f64 2 (.f64 (sinh.f64 l) J))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 K 1/2))) (.f64 2 (.f64 (sinh.f64 l) J))))))
(.f64 2 (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2))))) 1)
(.f64 2 (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(pow.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2))) 1)
(.f64 2 (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(pow.f64 (pow.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2))) 2) 1/2)
(.f64 2 (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(pow.f64 (pow.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2))) 3) 1/3)
(.f64 2 (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(pow.f64 (cbrt.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2)))) 3)
(.f64 2 (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(pow.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2)))) 2)
(.f64 2 (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(sqrt.f64 (pow.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2))) 2))
(.f64 2 (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 K 1/2))) (.f64 2 (*.f64 (sinh.f64 l) J))))
(.f64 2 (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2))))))
(.f64 2 (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(cbrt.f64 (pow.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2))) 3))
(.f64 2 (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(expm1.f64 (log1p.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2)))))
(.f64 2 (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(log1p.f64 (expm1.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2)))))
(.f64 2 (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(exp.f64 (log.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K 1/2)))))
(.f64 2 (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 K 1/2)))) 1))
(.f64 2 (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (sinh.f64 l))))

eval369.0ms (3.5%)

Compiler: Compiled 19014 to 11867 computations (37.6% saved)

prune360.0ms (3.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	860	9	869
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	862	12	874

Error

Counts

874 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.3b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
▶	21.1b	(+.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K))) U)
▶	9.2b	(+.f64 (*.f64 (+.f64 l l) J) U)
▶	0.6b	(+.f64 (.f64 (.f64 (+.f64 l l) J) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3)) U)
✓	0.5b	(+.f64 (.f64 (.f64 (+.f64 l l) J) (cos.f64 (/.f64 K 2))) U)
▶	0.4b	(+.f64 (.f64 (.f64 J (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 l))) 3)) (cos.f64 (/.f64 K 2))) U)
✓	0.1b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K)))) U)
	8.9b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
	0.5b	(+.f64 (.f64 (.f64 2 l) (.f64 J (cos.f64 (.f64 1/2 K)))) U)
▶	0.5b	(+.f64 (.f64 J (.f64 (.f64 2 l) (cos.f64 (.f64 1/2 K)))) U)
	9.1b	(+.f64 (.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2))) U)
	17.1b	U

Compiler

Compiled 300 to 220 computations (26.7% saved)

localize58.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 l)
✓	0.1b	(.f64 (.f64 J (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 l))) 3)) (cos.f64 (/.f64 K 2)))
	0.6b	(cbrt.f64 (*.f64 2 (sinh.f64 l)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 l))) 3)

Compiler

Compiled 74 to 49 computations (33.8% saved)

series7.0ms (0.1%)

Counts

2 → 44

Calls

12 calls:

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

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

660×	`log-prod_binary64`
441×	`pow-prod-down_binary64`
333×	`pow2_binary64`
283×	`pow-unpow_binary64`
235×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	300	23
2	3331	23

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sinh.f64 l) (sinh.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (sinh.f64 l)) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 l)))) (sqrt.f64 (exp.f64 (neg.f64 l))) (exp.f64 (neg.f64 l))))))) (#(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 0 (*.f64 2 (sinh.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (exp.f64 l) (neg.f64 (*.f64 (exp.f64 (neg.f64 l)) 1))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 l))) 1 (*.f64 (exp.f64 (neg.f64 l)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 l)) 2) (cbrt.f64 (exp.f64 l)) (neg.f64 (*.f64 (exp.f64 (neg.f64 l)) 1))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 l))) 1 (*.f64 (exp.f64 (neg.f64 l)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (exp.f64 l)) (sqrt.f64 (exp.f64 l)) (neg.f64 (*.f64 (exp.f64 (neg.f64 l)) 1))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 l))) 1 (*.f64 (exp.f64 (neg.f64 l)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (exp.f64 l) (neg.f64 (*.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (neg.f64 l)))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2) (*.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 l)) 2) (cbrt.f64 (exp.f64 l)) (neg.f64 (*.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (neg.f64 l)))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2) (*.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (exp.f64 l)) (sqrt.f64 (exp.f64 l)) (neg.f64 (*.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (neg.f64 l)))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2) (*.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (sinh.f64 l))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (sinh.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (sinh.f64 l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (sinh.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 l) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sinh.f64 l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (sinh.f64 l))) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (sinh.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sinh.f64 l)) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sinh.f64 l) 2)) (*.f64 (cbrt.f64 (sinh.f64 l)) 2))))) (#(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 (pow.f64 (*.f64 2 (sinh.f64 l)) 1/6) (*.f64 (pow.f64 (*.f64 2 (sinh.f64 l)) 1/6) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 l)) (*.f64 (sqrt.f64 (sinh.f64 l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cbrt.f64 (pow.f64 (sinh.f64 l) 2))) (cbrt.f64 (sinh.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (sinh.f64 l))) (sqrt.f64 (sinh.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2))) 1) (cbrt.f64 (*.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2))) (cbrt.f64 2)) (cbrt.f64 (sinh.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 l))) (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 l))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2))) (pow.f64 (*.f64 2 (sinh.f64 l)) 1/6)) (pow.f64 (*.f64 2 (sinh.f64 l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 l) 3) (pow.f64 (exp.f64 (neg.f64 l)) 3)) (+.f64 (pow.f64 (exp.f64 l) 2) (+.f64 (pow.f64 (exp.f64 (neg.f64 l)) 2) (*.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 l) 2) (pow.f64 (exp.f64 (neg.f64 l)) 2)) (*.f64 2 (cosh.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 l)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (sinh.f64 l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (sinh.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (sinh.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (exp.f64 l)) (exp.f64 (exp.f64 (neg.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (sinh.f64 l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 l)) 2) (cbrt.f64 (exp.f64 l)) (neg.f64 (exp.f64 (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 l)) (sqrt.f64 (exp.f64 l)) (neg.f64 (exp.f64 (neg.f64 l))))))))

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

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

865×	`fma-def_binary64`
431×	`distribute-rgt-in_binary64`
424×	`distribute-lft-in_binary64`
336×	`*-commutative_binary64`
329×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	2011
1	575	1861
2	1802	1809
3	7408	1809

Stop Event

1×	node limit

Counts

108 → 120

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 (pow.f64 1 1/3) (-.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 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 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 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))))
(+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))) (.f64 -1/8 (.f64 (pow.f64 K 2) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))))
(+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))) (+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 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 (sinh.f64 l) (sinh.f64 l))
(+.f64 (*.f64 2 (sinh.f64 l)) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 l)))) (sqrt.f64 (exp.f64 (neg.f64 l))) (exp.f64 (neg.f64 l))))
(+.f64 (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l))))
(+.f64 0 (*.f64 2 (sinh.f64 l)))
(+.f64 (fma.f64 1 (exp.f64 l) (neg.f64 (.f64 (exp.f64 (neg.f64 l)) 1))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 l))) 1 (.f64 (exp.f64 (neg.f64 l)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 l)) 2) (cbrt.f64 (exp.f64 l)) (neg.f64 (.f64 (exp.f64 (neg.f64 l)) 1))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 l))) 1 (.f64 (exp.f64 (neg.f64 l)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 l)) (sqrt.f64 (exp.f64 l)) (neg.f64 (.f64 (exp.f64 (neg.f64 l)) 1))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 l))) 1 (.f64 (exp.f64 (neg.f64 l)) 1)))
(+.f64 (fma.f64 1 (exp.f64 l) (neg.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (neg.f64 l)))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2) (.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 l)) 2) (cbrt.f64 (exp.f64 l)) (neg.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (neg.f64 l)))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2) (.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 l)) (sqrt.f64 (exp.f64 l)) (neg.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (neg.f64 l)))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2) (.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (sinh.f64 l))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (sinh.f64 l)))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (sinh.f64 l)))) 1)
(*.f64 2 (sinh.f64 l))
(*.f64 (sinh.f64 l) 2)
(.f64 (.f64 2 (sinh.f64 l)) 1)
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2))))
(.f64 1 (.f64 2 (sinh.f64 l)))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sinh.f64 l)) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2)))))
(.f64 (cbrt.f64 (pow.f64 (sinh.f64 l) 2)) (.f64 (cbrt.f64 (sinh.f64 l)) 2))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (*.f64 2 (sinh.f64 l))))
(.f64 (pow.f64 (.f64 2 (sinh.f64 l)) 1/6) (.f64 (pow.f64 (.f64 2 (sinh.f64 l)) 1/6) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2)))))
(.f64 (sqrt.f64 (sinh.f64 l)) (.f64 (sqrt.f64 (sinh.f64 l)) 2))
(.f64 (.f64 2 (cbrt.f64 (pow.f64 (sinh.f64 l) 2))) (cbrt.f64 (sinh.f64 l)))
(.f64 (.f64 2 (sqrt.f64 (sinh.f64 l))) (sqrt.f64 (sinh.f64 l)))
(.f64 (.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2))) 1) (cbrt.f64 (.f64 2 (sinh.f64 l))))
(.f64 (.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2))) (cbrt.f64 2)) (cbrt.f64 (sinh.f64 l)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 l)))))
(.f64 (.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2))) (pow.f64 (.f64 2 (sinh.f64 l)) 1/6)) (pow.f64 (*.f64 2 (sinh.f64 l)) 1/6))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) 3) (pow.f64 (exp.f64 (neg.f64 l)) 3)) (+.f64 (pow.f64 (exp.f64 l) 2) (+.f64 (pow.f64 (exp.f64 (neg.f64 l)) 2) (*.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) 2) (pow.f64 (exp.f64 (neg.f64 l)) 2)) (*.f64 2 (cosh.f64 l)))
(/.f64 (.f64 (.f64 2 (sinh.f64 l)) 2) 2)
(/.f64 (.f64 2 (.f64 2 (sinh.f64 l))) 2)
(sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2)))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 l)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (sinh.f64 l)))))
(log.f64 (/.f64 (exp.f64 (exp.f64 l)) (exp.f64 (exp.f64 (neg.f64 l)))))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 l)) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 l))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 l))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 l))))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 l))) 1))
(fma.f64 1 (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 l)) 2) (cbrt.f64 (exp.f64 l)) (neg.f64 (exp.f64 (neg.f64 l))))
(fma.f64 (sqrt.f64 (exp.f64 l)) (sqrt.f64 (exp.f64 l)) (neg.f64 (exp.f64 (neg.f64 l))))
(+.f64 0 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))))) 1)
(pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 1)
(pow.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))) 3)
(pow.f64 (sqrt.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))) 2)
(sqrt.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 2))
(log.f64 (pow.f64 (exp.f64 J) (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))))))
(cbrt.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 3))
(expm1.f64 (log1p.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))))
(log1p.f64 (expm1.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))))
(exp.f64 (log.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))))
(exp.f64 (.f64 (log.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))))) 1))

Outputs
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.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))
(.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))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) 2))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (pow.f64 l 3)))))
(fma.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (pow.f64 l 3))) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (*.f64 l J) 2)))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 J (pow.f64 l 3)))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 5) J))) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J)))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) (fma.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (pow.f64 l 5))) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (pow.f64 l 3))))))
(fma.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)) (fma.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (pow.f64 l 5))) (.f64 (.f64 J (pow.f64 l 3)) (.f64 1/3 (cos.f64 (.f64 1/2 K))))))
(fma.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (pow.f64 l 3))) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 2 (.f64 l J)) (.f64 1/60 (*.f64 J (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 J (pow.f64 l 5))) (fma.f64 1/2520 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (pow.f64 l 7))) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (pow.f64 l 3)))))))
(fma.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)) (fma.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (pow.f64 l 5))) (fma.f64 1/2520 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (pow.f64 l 7))) (.f64 (.f64 J (pow.f64 l 3)) (.f64 1/3 (cos.f64 (*.f64 1/2 K)))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 J (pow.f64 l 3))))) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/60 (.f64 J (pow.f64 l 5))) (.f64 1/2520 (.f64 J (pow.f64 l 7))))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.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 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J (.f64 -1/8 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (.f64 K K))))
(.f64 (+.f64 (.f64 -1/8 (.f64 K K)) 1) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 -1/8 (*.f64 K K) 1))
(+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))) (.f64 -1/8 (.f64 (pow.f64 K 2) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J (fma.f64 1/384 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (pow.f64 K 4)) (.f64 -1/8 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (.f64 K K)))))
(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 -1/8 (.f64 K K)) (*.f64 1/384 (pow.f64 K 4)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (+.f64 (.f64 K (.f64 K -1/8)) (fma.f64 1/384 (pow.f64 K 4) 1)))
(+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))) (+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))))))
(fma.f64 -1/46080 (.f64 (.f64 (pow.f64 K 6) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) J) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J (fma.f64 1/384 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (pow.f64 K 4)) (.f64 -1/8 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (.f64 K K))))))
(+.f64 (.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 (+.f64 (.f64 -1/46080 (pow.f64 K 6)) 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) (+.f64 (.f64 -1/46080 (pow.f64 K 6)) (fma.f64 -1/8 (.f64 K K) (*.f64 1/384 (pow.f64 K 4))))))
(.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))
(.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 (sinh.f64 l) (sinh.f64 l))
(*.f64 2 (sinh.f64 l))
(+.f64 (*.f64 2 (sinh.f64 l)) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 l)))) (sqrt.f64 (exp.f64 (neg.f64 l))) (exp.f64 (neg.f64 l))))
(*.f64 2 (sinh.f64 l))
(+.f64 (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l))))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 0 (*.f64 2 (sinh.f64 l)))
(*.f64 2 (sinh.f64 l))
(+.f64 (fma.f64 1 (exp.f64 l) (neg.f64 (.f64 (exp.f64 (neg.f64 l)) 1))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 l))) 1 (.f64 (exp.f64 (neg.f64 l)) 1)))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 l)) 2) (cbrt.f64 (exp.f64 l)) (neg.f64 (.f64 (exp.f64 (neg.f64 l)) 1))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 l))) 1 (.f64 (exp.f64 (neg.f64 l)) 1)))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 l)) (sqrt.f64 (exp.f64 l)) (neg.f64 (.f64 (exp.f64 (neg.f64 l)) 1))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 l))) 1 (.f64 (exp.f64 (neg.f64 l)) 1)))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 (fma.f64 1 (exp.f64 l) (neg.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (neg.f64 l)))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2) (.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2))))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 l)) 2) (cbrt.f64 (exp.f64 l)) (neg.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (neg.f64 l)))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2) (.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2))))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 l)) (sqrt.f64 (exp.f64 l)) (neg.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (neg.f64 l)))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2) (.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 l))) 2))))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (sinh.f64 l))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (sinh.f64 l)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (sinh.f64 l)))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (sinh.f64 l)))) 1)
(*.f64 2 (sinh.f64 l))
(*.f64 2 (sinh.f64 l))
(*.f64 (sinh.f64 l) 2)
(*.f64 2 (sinh.f64 l))
(.f64 (.f64 2 (sinh.f64 l)) 1)
(*.f64 2 (sinh.f64 l))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2))))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 l)) 2)))
(.f64 1 (.f64 2 (sinh.f64 l)))
(*.f64 2 (sinh.f64 l))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2))))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 l)) 2)))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sinh.f64 l)) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2)))))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (sinh.f64 l))) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2))))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2))) (*.f64 (cbrt.f64 2) (cbrt.f64 (sinh.f64 l))))
(.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 l)) 2)) (*.f64 (cbrt.f64 2) (cbrt.f64 (sinh.f64 l))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2)))) (.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2))) (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 l))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))) (.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2))) (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 l)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 l)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 l))))))
(.f64 (cbrt.f64 (pow.f64 (sinh.f64 l) 2)) (.f64 (cbrt.f64 (sinh.f64 l)) 2))
(.f64 (cbrt.f64 (pow.f64 (sinh.f64 l) 2)) (.f64 2 (cbrt.f64 (sinh.f64 l))))
(.f64 2 (.f64 (cbrt.f64 (sinh.f64 l)) (cbrt.f64 (pow.f64 (sinh.f64 l) 2))))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (*.f64 2 (sinh.f64 l))))
(*.f64 2 (sinh.f64 l))
(.f64 (pow.f64 (.f64 2 (sinh.f64 l)) 1/6) (.f64 (pow.f64 (.f64 2 (sinh.f64 l)) 1/6) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2)))))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2))))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 l)) 2)))
(.f64 (sqrt.f64 (sinh.f64 l)) (.f64 (sqrt.f64 (sinh.f64 l)) 2))
(*.f64 2 (sinh.f64 l))
(.f64 (.f64 2 (cbrt.f64 (pow.f64 (sinh.f64 l) 2))) (cbrt.f64 (sinh.f64 l)))
(.f64 (cbrt.f64 (pow.f64 (sinh.f64 l) 2)) (.f64 2 (cbrt.f64 (sinh.f64 l))))
(.f64 2 (.f64 (cbrt.f64 (sinh.f64 l)) (cbrt.f64 (pow.f64 (sinh.f64 l) 2))))
(.f64 (.f64 2 (sqrt.f64 (sinh.f64 l))) (sqrt.f64 (sinh.f64 l)))
(*.f64 2 (sinh.f64 l))
(.f64 (.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2))) 1) (cbrt.f64 (.f64 2 (sinh.f64 l))))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2))))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 l)) 2)))
(.f64 (.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2))) (cbrt.f64 2)) (cbrt.f64 (sinh.f64 l)))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (sinh.f64 l))) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2))))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2))) (*.f64 (cbrt.f64 2) (cbrt.f64 (sinh.f64 l))))
(.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 l)) 2)) (*.f64 (cbrt.f64 2) (cbrt.f64 (sinh.f64 l))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 l)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 l)))) (pow.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 l))))) 2))
(.f64 (.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2))) (pow.f64 (.f64 2 (sinh.f64 l)) 1/6)) (pow.f64 (*.f64 2 (sinh.f64 l)) 1/6))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2))))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 l)) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) 3) (pow.f64 (exp.f64 (neg.f64 l)) 3)) (+.f64 (pow.f64 (exp.f64 l) 2) (+.f64 (pow.f64 (exp.f64 (neg.f64 l)) 2) (*.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) 3) (pow.f64 (exp.f64 (neg.f64 l)) 3)) (+.f64 (pow.f64 (exp.f64 l) 2) (+.f64 (pow.f64 (exp.f64 (neg.f64 l)) 2) (exp.f64 (+.f64 l (neg.f64 l))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) 3) (pow.f64 (exp.f64 (neg.f64 l)) 3)) (+.f64 1 (fma.f64 (exp.f64 l) (exp.f64 l) (pow.f64 (exp.f64 (neg.f64 l)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) 3) (pow.f64 (exp.f64 (neg.f64 l)) 3)) (+.f64 1 (fma.f64 (exp.f64 l) (exp.f64 l) (exp.f64 (*.f64 l -2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) 2) (pow.f64 (exp.f64 (neg.f64 l)) 2)) (*.f64 2 (cosh.f64 l)))
(*.f64 (cosh.f64 l) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cosh.f64 l)))
(/.f64 (.f64 (.f64 2 (sinh.f64 l)) 2) 2)
(*.f64 2 (sinh.f64 l))
(/.f64 (.f64 2 (.f64 2 (sinh.f64 l))) 2)
(*.f64 2 (sinh.f64 l))
(sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2)))
(fabs.f64 (*.f64 2 (sinh.f64 l)))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 l)))
(*.f64 2 (sinh.f64 l))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (sinh.f64 l)))))
(*.f64 2 (sinh.f64 l))
(log.f64 (/.f64 (exp.f64 (exp.f64 l)) (exp.f64 (exp.f64 (neg.f64 l)))))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 l)) 3))
(*.f64 2 (sinh.f64 l))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 l))))
(*.f64 2 (sinh.f64 l))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 l))))
(*.f64 2 (sinh.f64 l))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 l))))
(*.f64 2 (sinh.f64 l))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 l))) 1))
(*.f64 2 (sinh.f64 l))
(fma.f64 1 (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l))))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 l)) 2) (cbrt.f64 (exp.f64 l)) (neg.f64 (exp.f64 (neg.f64 l))))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(fma.f64 (sqrt.f64 (exp.f64 l)) (sqrt.f64 (exp.f64 l)) (neg.f64 (exp.f64 (neg.f64 l))))
(*.f64 1 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 0 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 J (sinh.f64 l))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (sinh.f64 l))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (sinh.f64 l)))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (sinh.f64 l)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 J (sinh.f64 l))))
(-.f64 (exp.f64 (log1p.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))))) 1)
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 J (sinh.f64 l))))
(pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 1)
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 J (sinh.f64 l))))
(pow.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 2) 1/2)
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 J (sinh.f64 l))))
(pow.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 3) 1/3)
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 J (sinh.f64 l))))
(pow.f64 (cbrt.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))) 3)
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 J (sinh.f64 l))))
(pow.f64 (sqrt.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))) 2)
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 J (sinh.f64 l))))
(sqrt.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 2))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 J (sinh.f64 l))))
(log.f64 (pow.f64 (exp.f64 J) (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2)))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 J (sinh.f64 l))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 J (sinh.f64 l))))
(cbrt.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 3))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 J (sinh.f64 l))))
(expm1.f64 (log1p.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 J (sinh.f64 l))))
(log1p.f64 (expm1.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 J (sinh.f64 l))))
(exp.f64 (log.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 J (sinh.f64 l))))
(exp.f64 (.f64 (log.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))))) 1))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 J (sinh.f64 l))))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (+.f64 l l) J) U)

Compiler

Compiled 22 to 7 computations (68.2% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	l	@	inf	(+.f64 (*.f64 (+.f64 l l) J) U)
0.0ms	J	@	inf	(+.f64 (*.f64 (+.f64 l l) J) U)
0.0ms	l	@	0	(+.f64 (*.f64 (+.f64 l l) J) U)
0.0ms	J	@	-inf	(+.f64 (*.f64 (+.f64 l l) J) U)
0.0ms	U	@	0	(+.f64 (*.f64 (+.f64 l l) J) U)

rewrite46.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`pow1_binary64`
781×	`add-log-exp_binary64`
780×	`log1p-expm1-u_binary64`
780×	`expm1-log1p-u_binary64`
764×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	157	8
2	2340	8

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(+.f64 (*.f64 (+.f64 l l) J) U)

Outputs

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

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

597×	`fma-neg_binary64`
474×	`cancel-sign-sub-inv_binary64`
467×	`div-sub_binary64`
276×	`fma-def_binary64`
242×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	864
1	239	840
2	901	766
3	4081	764

Stop Event

1×	node limit

Counts

71 → 53

Calls

Call 1

Inputs
U
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
U
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
U
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
U
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(-.f64 (+.f64 1 (fma.f64 (+.f64 l l) J U)) 1)
(-.f64 (/.f64 (.f64 (+.f64 l l) (.f64 J J)) (-.f64 (.f64 (+.f64 l l) J) U)) (/.f64 (.f64 U U) (-.f64 (*.f64 (+.f64 l l) J) U)))
(*.f64 (fma.f64 (+.f64 l l) J U) 1)
(*.f64 1 (fma.f64 (+.f64 l l) J U))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 l l) J U)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 l l) J U)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 l l) J U)) 2) (cbrt.f64 (fma.f64 (+.f64 l l) J U)))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 l l) J U)) (sqrt.f64 (fma.f64 (+.f64 l l) J U)))
(.f64 (+.f64 (pow.f64 (.f64 (+.f64 l l) J) 3) (pow.f64 U 3)) (/.f64 1 (+.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U (-.f64 U (.f64 (+.f64 l l) J))))))
(.f64 (-.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U U)) (/.f64 1 (-.f64 (*.f64 (+.f64 l l) J) U)))
(/.f64 1 (/.f64 (+.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U (-.f64 U (.f64 (+.f64 l l) J)))) (+.f64 (pow.f64 (*.f64 (+.f64 l l) J) 3) (pow.f64 U 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 (+.f64 l l) J) U) (-.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U U))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 l l) J) 3) (pow.f64 U 3)) (+.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U (-.f64 U (*.f64 (+.f64 l l) J)))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 l l) J) 3) (pow.f64 U 3)) (+.f64 (.f64 U U) (-.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 (+.f64 l l) (.f64 J U)))))
(/.f64 (-.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U U)) (-.f64 (.f64 (+.f64 l l) J) U))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 l l) J) 3) (pow.f64 U 3))) (neg.f64 (+.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U (-.f64 U (*.f64 (+.f64 l l) J))))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U U))) (neg.f64 (-.f64 (.f64 (+.f64 l l) J) U)))
(/.f64 (-.f64 (.f64 U U) (.f64 (+.f64 l l) (.f64 J J))) (-.f64 U (.f64 (+.f64 l l) J)))
(pow.f64 (fma.f64 (+.f64 l l) J U) 1)
(pow.f64 (pow.f64 (fma.f64 (+.f64 l l) J U) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 l l) J U)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 l l) J U)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 l l) J U) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 l l) J U)))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 l l) J U) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 l l) J U)))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 l l) J U)))
(exp.f64 (log.f64 (fma.f64 (+.f64 l l) J U)))
(fma.f64 (+.f64 l l) J U)
(fma.f64 J (+.f64 l l) U)
(fma.f64 1 (*.f64 (+.f64 l l) J) U)
(fma.f64 1 U (*.f64 (+.f64 l l) J))
(fma.f64 (pow.f64 (cbrt.f64 U) 2) (cbrt.f64 U) (*.f64 (+.f64 l l) J))
(fma.f64 (pow.f64 (.f64 (+.f64 l l) (cbrt.f64 J)) 2) (.f64 (+.f64 l l) (cbrt.f64 J)) U)
(fma.f64 (sqrt.f64 U) (sqrt.f64 U) (*.f64 (+.f64 l l) J))
(fma.f64 (.f64 (+.f64 l l) (sqrt.f64 J)) (.f64 (+.f64 l l) (sqrt.f64 J)) U)

Outputs
U
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(.f64 2 (.f64 l J))
(.f64 l (.f64 J 2))
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(.f64 2 (.f64 l J))
(.f64 l (.f64 J 2))
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
U
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(.f64 2 (.f64 l J))
(.f64 l (.f64 J 2))
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(.f64 2 (.f64 l J))
(.f64 l (.f64 J 2))
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(.f64 2 (.f64 l J))
(.f64 l (.f64 J 2))
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
U
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
U
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(-.f64 (+.f64 1 (fma.f64 (+.f64 l l) J U)) 1)
(fma.f64 2 (*.f64 l J) U)
(-.f64 (/.f64 (.f64 (+.f64 l l) (.f64 J J)) (-.f64 (.f64 (+.f64 l l) J) U)) (/.f64 (.f64 U U) (-.f64 (*.f64 (+.f64 l l) J) U)))
(/.f64 (fma.f64 (+.f64 l l) (.f64 J J) (neg.f64 (.f64 U U))) (fma.f64 (+.f64 l l) J (neg.f64 U)))
(/.f64 (fma.f64 (+.f64 l l) (.f64 J J) (.f64 U (neg.f64 U))) (-.f64 (.f64 l (.f64 J 2)) U))
(/.f64 (fma.f64 (.f64 J J) (.f64 l -2) (.f64 U U)) (fma.f64 J (.f64 l -2) U))
(/.f64 (fma.f64 J (.f64 J (.f64 l -2)) (.f64 U U)) (fma.f64 l (.f64 J -2) U))
(*.f64 (fma.f64 (+.f64 l l) J U) 1)
(fma.f64 2 (*.f64 l J) U)
(*.f64 1 (fma.f64 (+.f64 l l) J U))
(fma.f64 2 (*.f64 l J) U)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 l l) J U)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 l l) J U)) 2))
(fma.f64 2 (*.f64 l J) U)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 l l) J U)) 2) (cbrt.f64 (fma.f64 (+.f64 l l) J U)))
(fma.f64 2 (*.f64 l J) U)
(*.f64 (sqrt.f64 (fma.f64 (+.f64 l l) J U)) (sqrt.f64 (fma.f64 (+.f64 l l) J U)))
(fma.f64 2 (*.f64 l J) U)
(.f64 (+.f64 (pow.f64 (.f64 (+.f64 l l) J) 3) (pow.f64 U 3)) (/.f64 1 (+.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U (-.f64 U (.f64 (+.f64 l l) J))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (.f64 l J)) 3) (pow.f64 U 3)) 1) (fma.f64 (+.f64 l l) (.f64 J J) (.f64 U (-.f64 U (.f64 2 (*.f64 l J))))))
(/.f64 (+.f64 (pow.f64 (.f64 l (.f64 J 2)) 3) (pow.f64 U 3)) (fma.f64 U (+.f64 U (.f64 J (.f64 -2 l))) (.f64 2 (.f64 l (*.f64 J J)))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 l J) 3) (pow.f64 U 3)) (fma.f64 2 (.f64 l (.f64 J (-.f64 J U))) (.f64 U U)))
(/.f64 (fma.f64 8 (pow.f64 (.f64 l J) 3) (pow.f64 U 3)) (fma.f64 U U (.f64 (.f64 l J) (.f64 2 (-.f64 J U)))))
(.f64 (-.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U U)) (/.f64 1 (-.f64 (*.f64 (+.f64 l l) J) U)))
(/.f64 (fma.f64 (+.f64 l l) (.f64 J J) (neg.f64 (.f64 U U))) (fma.f64 (+.f64 l l) J (neg.f64 U)))
(/.f64 (fma.f64 (+.f64 l l) (.f64 J J) (.f64 U (neg.f64 U))) (-.f64 (.f64 l (.f64 J 2)) U))
(/.f64 (fma.f64 (.f64 J J) (.f64 l -2) (.f64 U U)) (fma.f64 J (.f64 l -2) U))
(/.f64 (fma.f64 J (.f64 J (.f64 l -2)) (.f64 U U)) (fma.f64 l (.f64 J -2) U))
(/.f64 1 (/.f64 (+.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U (-.f64 U (.f64 (+.f64 l l) J)))) (+.f64 (pow.f64 (*.f64 (+.f64 l l) J) 3) (pow.f64 U 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (.f64 l J)) 3) (pow.f64 U 3)) 1) (fma.f64 (+.f64 l l) (.f64 J J) (.f64 U (-.f64 U (.f64 2 (*.f64 l J))))))
(/.f64 (+.f64 (pow.f64 (.f64 l (.f64 J 2)) 3) (pow.f64 U 3)) (fma.f64 U (+.f64 U (.f64 J (.f64 -2 l))) (.f64 2 (.f64 l (*.f64 J J)))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 l J) 3) (pow.f64 U 3)) (fma.f64 2 (.f64 l (.f64 J (-.f64 J U))) (.f64 U U)))
(/.f64 (fma.f64 8 (pow.f64 (.f64 l J) 3) (pow.f64 U 3)) (fma.f64 U U (.f64 (.f64 l J) (.f64 2 (-.f64 J U)))))
(/.f64 1 (/.f64 (-.f64 (.f64 (+.f64 l l) J) U) (-.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U U))))
(/.f64 (fma.f64 (+.f64 l l) (.f64 J J) (neg.f64 (.f64 U U))) (fma.f64 (+.f64 l l) J (neg.f64 U)))
(/.f64 (fma.f64 (+.f64 l l) (.f64 J J) (.f64 U (neg.f64 U))) (-.f64 (.f64 l (.f64 J 2)) U))
(/.f64 (fma.f64 (.f64 J J) (.f64 l -2) (.f64 U U)) (fma.f64 J (.f64 l -2) U))
(/.f64 (fma.f64 J (.f64 J (.f64 l -2)) (.f64 U U)) (fma.f64 l (.f64 J -2) U))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 l l) J) 3) (pow.f64 U 3)) (+.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U (-.f64 U (*.f64 (+.f64 l l) J)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (.f64 l J)) 3) (pow.f64 U 3)) 1) (fma.f64 (+.f64 l l) (.f64 J J) (.f64 U (-.f64 U (.f64 2 (*.f64 l J))))))
(/.f64 (+.f64 (pow.f64 (.f64 l (.f64 J 2)) 3) (pow.f64 U 3)) (fma.f64 U (+.f64 U (.f64 J (.f64 -2 l))) (.f64 2 (.f64 l (*.f64 J J)))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 l J) 3) (pow.f64 U 3)) (fma.f64 2 (.f64 l (.f64 J (-.f64 J U))) (.f64 U U)))
(/.f64 (fma.f64 8 (pow.f64 (.f64 l J) 3) (pow.f64 U 3)) (fma.f64 U U (.f64 (.f64 l J) (.f64 2 (-.f64 J U)))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 l l) J) 3) (pow.f64 U 3)) (+.f64 (.f64 U U) (-.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 (+.f64 l l) (.f64 J U)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (.f64 l J)) 3) (pow.f64 U 3)) 1) (fma.f64 (+.f64 l l) (.f64 J J) (.f64 U (-.f64 U (.f64 2 (*.f64 l J))))))
(/.f64 (+.f64 (pow.f64 (.f64 l (.f64 J 2)) 3) (pow.f64 U 3)) (fma.f64 U (+.f64 U (.f64 J (.f64 -2 l))) (.f64 2 (.f64 l (*.f64 J J)))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 l J) 3) (pow.f64 U 3)) (fma.f64 2 (.f64 l (.f64 J (-.f64 J U))) (.f64 U U)))
(/.f64 (fma.f64 8 (pow.f64 (.f64 l J) 3) (pow.f64 U 3)) (fma.f64 U U (.f64 (.f64 l J) (.f64 2 (-.f64 J U)))))
(/.f64 (-.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U U)) (-.f64 (.f64 (+.f64 l l) J) U))
(/.f64 (fma.f64 (+.f64 l l) (.f64 J J) (neg.f64 (.f64 U U))) (fma.f64 (+.f64 l l) J (neg.f64 U)))
(/.f64 (fma.f64 (+.f64 l l) (.f64 J J) (.f64 U (neg.f64 U))) (-.f64 (.f64 l (.f64 J 2)) U))
(/.f64 (fma.f64 (.f64 J J) (.f64 l -2) (.f64 U U)) (fma.f64 J (.f64 l -2) U))
(/.f64 (fma.f64 J (.f64 J (.f64 l -2)) (.f64 U U)) (fma.f64 l (.f64 J -2) U))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 l l) J) 3) (pow.f64 U 3))) (neg.f64 (+.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U (-.f64 U (*.f64 (+.f64 l l) J))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (.f64 l J)) 3) (pow.f64 U 3)) 1) (fma.f64 (+.f64 l l) (.f64 J J) (.f64 U (-.f64 U (.f64 2 (*.f64 l J))))))
(/.f64 (+.f64 (pow.f64 (.f64 l (.f64 J 2)) 3) (pow.f64 U 3)) (fma.f64 U (+.f64 U (.f64 J (.f64 -2 l))) (.f64 2 (.f64 l (*.f64 J J)))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 l J) 3) (pow.f64 U 3)) (fma.f64 2 (.f64 l (.f64 J (-.f64 J U))) (.f64 U U)))
(/.f64 (fma.f64 8 (pow.f64 (.f64 l J) 3) (pow.f64 U 3)) (fma.f64 U U (.f64 (.f64 l J) (.f64 2 (-.f64 J U)))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U U))) (neg.f64 (-.f64 (.f64 (+.f64 l l) J) U)))
(/.f64 (fma.f64 (+.f64 l l) (.f64 J J) (neg.f64 (.f64 U U))) (fma.f64 (+.f64 l l) J (neg.f64 U)))
(/.f64 (fma.f64 (+.f64 l l) (.f64 J J) (.f64 U (neg.f64 U))) (-.f64 (.f64 l (.f64 J 2)) U))
(/.f64 (fma.f64 (.f64 J J) (.f64 l -2) (.f64 U U)) (fma.f64 J (.f64 l -2) U))
(/.f64 (fma.f64 J (.f64 J (.f64 l -2)) (.f64 U U)) (fma.f64 l (.f64 J -2) U))
(/.f64 (-.f64 (.f64 U U) (.f64 (+.f64 l l) (.f64 J J))) (-.f64 U (.f64 (+.f64 l l) J)))
(/.f64 (fma.f64 (+.f64 l l) (.f64 J J) (neg.f64 (.f64 U U))) (fma.f64 (+.f64 l l) J (neg.f64 U)))
(/.f64 (fma.f64 (+.f64 l l) (.f64 J J) (.f64 U (neg.f64 U))) (-.f64 (.f64 l (.f64 J 2)) U))
(/.f64 (fma.f64 (.f64 J J) (.f64 l -2) (.f64 U U)) (fma.f64 J (.f64 l -2) U))
(/.f64 (fma.f64 J (.f64 J (.f64 l -2)) (.f64 U U)) (fma.f64 l (.f64 J -2) U))
(pow.f64 (fma.f64 (+.f64 l l) J U) 1)
(fma.f64 2 (*.f64 l J) U)
(pow.f64 (pow.f64 (fma.f64 (+.f64 l l) J U) 3) 1/3)
(fma.f64 2 (*.f64 l J) U)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 l l) J U)) 3)
(fma.f64 2 (*.f64 l J) U)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 l l) J U)) 2)
(fma.f64 2 (*.f64 l J) U)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 l l) J U) 2))
(fma.f64 2 (*.f64 l J) U)
(log.f64 (exp.f64 (fma.f64 (+.f64 l l) J U)))
(fma.f64 2 (*.f64 l J) U)
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 l l) J U) 3))
(fma.f64 2 (*.f64 l J) U)
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 l l) J U)))
(fma.f64 2 (*.f64 l J) U)
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 l l) J U)))
(fma.f64 2 (*.f64 l J) U)
(exp.f64 (log.f64 (fma.f64 (+.f64 l l) J U)))
(fma.f64 2 (*.f64 l J) U)
(fma.f64 (+.f64 l l) J U)
(fma.f64 2 (*.f64 l J) U)
(fma.f64 J (+.f64 l l) U)
(fma.f64 2 (*.f64 l J) U)
(fma.f64 1 (*.f64 (+.f64 l l) J) U)
(fma.f64 2 (*.f64 l J) U)
(fma.f64 1 U (*.f64 (+.f64 l l) J))
(fma.f64 2 (*.f64 l J) U)
(fma.f64 (pow.f64 (cbrt.f64 U) 2) (cbrt.f64 U) (*.f64 (+.f64 l l) J))
(fma.f64 2 (*.f64 l J) U)
(fma.f64 (pow.f64 (.f64 (+.f64 l l) (cbrt.f64 J)) 2) (.f64 (+.f64 l l) (cbrt.f64 J)) U)
(+.f64 U (pow.f64 (.f64 (.f64 (cbrt.f64 J) 2) l) 3))
(+.f64 U (.f64 8 (pow.f64 (.f64 l (cbrt.f64 J)) 3)))
(+.f64 U (.f64 J (.f64 8 (pow.f64 l 3))))
(fma.f64 (sqrt.f64 U) (sqrt.f64 U) (*.f64 (+.f64 l l) J))
(fma.f64 2 (*.f64 l J) U)
(fma.f64 (.f64 (+.f64 l l) (sqrt.f64 J)) (.f64 (+.f64 l l) (sqrt.f64 J)) U)
(fma.f64 (.f64 2 (.f64 l (sqrt.f64 J))) (.f64 2 (.f64 l (sqrt.f64 J))) U)
(fma.f64 J (.f64 4 (.f64 l l)) U)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 36 to 20 computations (44.4% saved)

series6.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)))
1.0ms	K	@	-inf	(.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)))
1.0ms	K	@	inf	(.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)))
1.0ms	l	@	inf	(.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)))
0.0ms	K	@	0	(.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)))

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`log-prod_binary64`
367×	`exp-prod_binary64`
313×	`fma-def_binary64`
299×	`pow-prod-down_binary64`
273×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	217	25
2	2987	11

Stop Event

1×	node limit

Counts

2 → 154

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 l l)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (+.f64 l l)) (*.f64 l (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (cos.f64 (*.f64 1/2 K))) (*.f64 l (cos.f64 (*.f64 1/2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 l l) l) (*.f64 (+.f64 l l) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 K)) l) (*.f64 (cos.f64 (*.f64 1/2 K)) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) l)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) l))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) l))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 l l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 l l) 0) (/.f64 (*.f64 l l) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 l l 0) (*.f64 2 (pow.f64 l 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 l 3)) (fma.f64 l l 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 2 (pow.f64 l 3)) 2) (pow.f64 (fma.f64 l l 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 2 (pow.f64 l 3))) (cbrt.f64 (fma.f64 l l 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (pow.f64 l 3))) (sqrt.f64 (fma.f64 l l 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (pow.f64 l 3))) (neg.f64 (fma.f64 l l 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (*.f64 2 (pow.f64 l 3))) (*.f64 0 (fma.f64 l l 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 l 3)) 0) (*.f64 (fma.f64 l l 0) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 l 3)) (+.f64 l l)) (fma.f64 l l 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (+.f64 l l)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 l 3)) (cos.f64 (*.f64 1/2 K))) (fma.f64 l l 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (cos.f64 (*.f64 1/2 K))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 l l) (*.f64 2 (pow.f64 l 3))) (fma.f64 l l 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 K)) (*.f64 2 (pow.f64 l 3))) (fma.f64 l l 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 K)) 0) 0)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 5)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 5/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 7/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 10/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 7/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 l l 0) (*.f64 2 (pow.f64 l 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 l l))) 2)) (cbrt.f64 (log.f64 (+.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 l l)))) (sqrt.f64 (log.f64 (+.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) l))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 l)) (exp.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 l) (+.f64 1 (expm1.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 l)) (+.f64 1 (expm1.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 l) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 l l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 l l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 l l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 l l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 l l)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 l l)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 l l)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 l l)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 l l)) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 l l)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 l l)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 l l)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 l l)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 l l)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 l l)) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 l (+.f64 l l) (*.f64 l (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 l (cos.f64 (*.f64 1/2 K)) (*.f64 l (cos.f64 (*.f64 1/2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 l 1 l)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 l l) l (*.f64 (+.f64 l l) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 1/2 K)) l (*.f64 (cos.f64 (*.f64 1/2 K)) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 l l)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 l) (cbrt.f64 (*.f64 l l)) l)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 l l)) (cbrt.f64 l) l)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 l) (sqrt.f64 l) l)))))

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

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

54×	`sqr-pow_binary64`
40×	`*-commutative_binary64`
28×	`fma-udef_binary64`
23×	`+-commutative_binary64`
16×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	351	4294969569
1	914	4294969569

Stop Event

1×

unsound

Counts

214 → 213

Calls

Call 1

Inputs
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(*.f64 2 l)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) l)) (*.f64 2 l))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) l)) (+.f64 (.f64 2 l) (.f64 1/192 (*.f64 (pow.f64 K 4) l))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) l)) (+.f64 (.f64 2 l) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) l)) (.f64 -1/23040 (*.f64 (pow.f64 K 6) l)))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
U
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (*.f64 2 l) U)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) l)) (+.f64 (*.f64 2 l) U))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) l)) (+.f64 (.f64 2 l) (+.f64 (.f64 1/192 (*.f64 (pow.f64 K 4) l)) U)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) l)) (+.f64 (.f64 2 l) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) l)) (+.f64 (.f64 -1/23040 (*.f64 (pow.f64 K 6) l)) U))))
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
U
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
U
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(+.f64 l l)
(+.f64 0 (+.f64 l l))
(+.f64 (.f64 l (+.f64 l l)) (.f64 l (+.f64 l l)))
(+.f64 (.f64 l (cos.f64 (.f64 1/2 K))) (.f64 l (cos.f64 (.f64 1/2 K))))
(+.f64 (.f64 (+.f64 l l) l) (.f64 (+.f64 l l) l))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) (.f64 (cos.f64 (.f64 1/2 K)) l))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) l)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) l))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) l))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) l))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 l l))) 1)
(-.f64 (/.f64 (.f64 l l) 0) (/.f64 (.f64 l l) 0))
(/.f64 1 (+.f64 l l))
(/.f64 1 (/.f64 (fma.f64 l l 0) (*.f64 2 (pow.f64 l 3))))
(/.f64 (*.f64 2 (pow.f64 l 3)) (fma.f64 l l 0))
(/.f64 0 0)
(/.f64 (pow.f64 (*.f64 2 (pow.f64 l 3)) 2) (pow.f64 (fma.f64 l l 0) 2))
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 l 3))) (cbrt.f64 (fma.f64 l l 0)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 l 3))) (sqrt.f64 (fma.f64 l l 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 l 3))) (neg.f64 (fma.f64 l l 0)))
(/.f64 (.f64 0 (.f64 2 (pow.f64 l 3))) (*.f64 0 (fma.f64 l l 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 l 3)) 0) (*.f64 (fma.f64 l l 0) 0))
(/.f64 (.f64 (.f64 2 (pow.f64 l 3)) (+.f64 l l)) (fma.f64 l l 0))
(/.f64 (*.f64 0 (+.f64 l l)) 0)
(/.f64 (.f64 (.f64 2 (pow.f64 l 3)) (cos.f64 (*.f64 1/2 K))) (fma.f64 l l 0))
(/.f64 (.f64 0 (cos.f64 (.f64 1/2 K))) 0)
(/.f64 (.f64 (+.f64 l l) (.f64 2 (pow.f64 l 3))) (fma.f64 l l 0))
(/.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (pow.f64 l 3))) (fma.f64 l l 0))
(/.f64 (.f64 (cos.f64 (.f64 1/2 K)) 0) 0)
(pow.f64 (+.f64 l l) 1/2)
(pow.f64 (+.f64 l l) 1)
(pow.f64 (+.f64 l l) 1/4)
(pow.f64 (+.f64 l l) 3)
(pow.f64 (+.f64 l l) 2)
(pow.f64 (+.f64 l l) -1/2)
(pow.f64 (+.f64 l l) 9)
(pow.f64 (+.f64 l l) 4)
(pow.f64 (+.f64 l l) 3/2)
(pow.f64 (+.f64 l l) 1/3)
(pow.f64 (+.f64 l l) -1)
(pow.f64 (+.f64 l l) -3)
(pow.f64 (+.f64 l l) -2)
(pow.f64 (+.f64 l l) -1/3)
(pow.f64 (+.f64 l l) 2/3)
(pow.f64 (+.f64 l l) 6)
(pow.f64 (+.f64 l l) 9/2)
(pow.f64 (+.f64 l l) 1/6)
(pow.f64 (+.f64 l l) 1/9)
(pow.f64 (+.f64 l l) 5)
(pow.f64 (+.f64 l l) 5/2)
(pow.f64 (+.f64 l l) 4/3)
(pow.f64 (+.f64 l l) 7/2)
(pow.f64 (+.f64 l l) 5/6)
(pow.f64 (+.f64 l l) 10/3)
(pow.f64 (+.f64 l l) 7/3)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 l l)))
(pow.f64 (/.f64 (fma.f64 l l 0) (*.f64 2 (pow.f64 l 3))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 l l))) 2)) (cbrt.f64 (log.f64 (+.f64 l l))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 l l)))) (sqrt.f64 (log.f64 (+.f64 l l))))
(sqrt.f64 (+.f64 l l))
(fabs.f64 (+.f64 l l))
(log.f64 (pow.f64 (exp.f64 2) l))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 l l))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 l)) (exp.f64 l)))
(log.f64 (*.f64 (exp.f64 l) (+.f64 1 (expm1.f64 l))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 l)) (+.f64 1 (expm1.f64 l))))
(cbrt.f64 (+.f64 l l))
(hypot.f64 (sqrt.f64 l) (sqrt.f64 l))
(expm1.f64 (log1p.f64 (+.f64 l l)))
(log1p.f64 (expm1.f64 (+.f64 l l)))
(exp.f64 (log.f64 (+.f64 l l)))
(exp.f64 (*.f64 (log.f64 (+.f64 l l)) 1))
(exp.f64 (*.f64 (log.f64 (+.f64 l l)) 1/2))
(exp.f64 (*.f64 (log.f64 (+.f64 l l)) 3))
(exp.f64 (*.f64 (log.f64 (+.f64 l l)) 2))
(exp.f64 (*.f64 (log.f64 (+.f64 l l)) 1/3))
(exp.f64 (*.f64 (log.f64 (+.f64 l l)) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 3) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 3))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 2))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 3/2))
(fma.f64 l (+.f64 l l) (*.f64 l (+.f64 l l)))
(fma.f64 l (cos.f64 (.f64 1/2 K)) (.f64 l (cos.f64 (*.f64 1/2 K))))
(fma.f64 l 1 l)
(fma.f64 (+.f64 l l) l (*.f64 (+.f64 l l) l))
(fma.f64 (cos.f64 (.f64 1/2 K)) l (.f64 (cos.f64 (*.f64 1/2 K)) l))
(fma.f64 1 l l)
(fma.f64 (cbrt.f64 l) (cbrt.f64 (*.f64 l l)) l)
(fma.f64 (cbrt.f64 (*.f64 l l)) (cbrt.f64 l) l)
(fma.f64 (sqrt.f64 l) (sqrt.f64 l) l)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 l l) U))) 1)
(-.f64 (/.f64 (+.f64 l l) (-.f64 (+.f64 l l) U)) (/.f64 (*.f64 U U) (-.f64 (+.f64 l l) U)))
(*.f64 (+.f64 (+.f64 l l) U) 1)
(*.f64 1 (+.f64 (+.f64 l l) U))
(*.f64 (cbrt.f64 (+.f64 (+.f64 l l) U)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 l l) U)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 l l) U)) 2) (cbrt.f64 (+.f64 (+.f64 l l) U)))
(*.f64 (hypot.f64 (+.f64 l l) (sqrt.f64 U)) (hypot.f64 (+.f64 l l) (sqrt.f64 U)))
(*.f64 (+.f64 (+.f64 l l) (pow.f64 U 3)) (/.f64 1 (fma.f64 U (-.f64 U (+.f64 l l)) (+.f64 l l))))
(.f64 (-.f64 (+.f64 l l) (.f64 U U)) (/.f64 1 (-.f64 (+.f64 l l) U)))
(/.f64 1 (/.f64 (fma.f64 U (-.f64 U (+.f64 l l)) (+.f64 l l)) (+.f64 (+.f64 l l) (pow.f64 U 3))))
(/.f64 1 (/.f64 (-.f64 (+.f64 l l) U) (-.f64 (+.f64 l l) (*.f64 U U))))
(/.f64 (+.f64 (+.f64 l l) (pow.f64 U 3)) (fma.f64 U (-.f64 U (+.f64 l l)) (+.f64 l l)))
(/.f64 (+.f64 (+.f64 l l) (pow.f64 U 3)) (fma.f64 U U (-.f64 (+.f64 l l) (*.f64 (+.f64 l l) U))))
(/.f64 (-.f64 (+.f64 l l) (*.f64 U U)) (-.f64 (+.f64 l l) U))
(/.f64 (neg.f64 (+.f64 (+.f64 l l) (pow.f64 U 3))) (neg.f64 (fma.f64 U (-.f64 U (+.f64 l l)) (+.f64 l l))))
(/.f64 (neg.f64 (-.f64 (+.f64 l l) (*.f64 U U))) (neg.f64 (-.f64 (+.f64 l l) U)))
(/.f64 (-.f64 (*.f64 U U) (+.f64 l l)) (-.f64 U (+.f64 l l)))
(pow.f64 (+.f64 (+.f64 l l) U) 1)
(pow.f64 (pow.f64 (+.f64 (+.f64 l l) U) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (+.f64 l l) U) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 l l) U)) 3)
(pow.f64 (hypot.f64 (+.f64 l l) (sqrt.f64 U)) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (+.f64 l l) U)))
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (+.f64 l l)) (+.f64 l l)) (+.f64 (+.f64 l l) (pow.f64 U 3))) -1)
(pow.f64 (/.f64 (-.f64 (+.f64 l l) U) (-.f64 (+.f64 l l) (*.f64 U U))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 l l) U))) 2)) (cbrt.f64 (log.f64 (+.f64 (+.f64 l l) U))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (+.f64 l l) U)))) (sqrt.f64 (log.f64 (+.f64 (+.f64 l l) U))))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 l l) U) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 l l) U)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 l l) U))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 l l))) (exp.f64 U)))
(log.f64 (*.f64 (pow.f64 (exp.f64 2) l) (+.f64 1 (expm1.f64 U))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 l l))) (+.f64 1 (expm1.f64 U))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 U)) (pow.f64 (exp.f64 2) l)))
(log.f64 (*.f64 (exp.f64 U) (+.f64 1 (expm1.f64 (+.f64 l l)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 U)) (+.f64 1 (expm1.f64 (+.f64 l l)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 l l) U) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 l l) U)))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 l l) U)))
(exp.f64 (log.f64 (+.f64 (+.f64 l l) U)))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 l l) U)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (+.f64 l l) U))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (+.f64 l l) U))) 3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (+.f64 l l) (sqrt.f64 U))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (+.f64 l l) U)) 1) 1))
(fma.f64 (+.f64 l l) (+.f64 l l) U)
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(fma.f64 (+.f64 l l) 1 U)
(fma.f64 (+.f64 l l) (cbrt.f64 (cos.f64 (*.f64 1/2 K))) U)
(fma.f64 (+.f64 l l) (sqrt.f64 (cos.f64 (*.f64 1/2 K))) U)
(fma.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l) U)
(fma.f64 U 1 (+.f64 l l))
(fma.f64 1 (+.f64 l l) U)
(fma.f64 1 U (+.f64 l l))
(fma.f64 (cbrt.f64 U) (pow.f64 (cbrt.f64 U) 2) (+.f64 l l))
(fma.f64 (pow.f64 (cbrt.f64 U) 2) (cbrt.f64 U) (+.f64 l l))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 K))) 2) (+.f64 l l) U)
(fma.f64 (sqrt.f64 U) (sqrt.f64 U) (+.f64 l l))
(fma.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 K))) (+.f64 l l) U)
(fma.f64 2 (.f64 l (cos.f64 (.f64 1/2 K))) U)
(fma.f64 (.f64 (cos.f64 (.f64 1/2 K)) 2) l U)

Outputs
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(*.f64 2 l)
(+.f64 l l)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) l)) (*.f64 2 l))
(fma.f64 -1/4 (.f64 l (.f64 K K)) (+.f64 l l))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) l)) (+.f64 (.f64 2 l) (.f64 1/192 (*.f64 (pow.f64 K 4) l))))
(fma.f64 -1/4 (.f64 l (.f64 K K)) (fma.f64 2 l (.f64 1/192 (.f64 l (pow.f64 K 4)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) l)) (+.f64 (.f64 2 l) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) l)) (.f64 -1/23040 (*.f64 (pow.f64 K 6) l)))))
(fma.f64 -1/4 (.f64 l (.f64 K K)) (fma.f64 2 l (fma.f64 1/192 (.f64 l (pow.f64 K 4)) (.f64 -1/23040 (*.f64 l (pow.f64 K 6))))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
U
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (*.f64 2 l) U)
(fma.f64 2 l U)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) l)) (+.f64 (*.f64 2 l) U))
(fma.f64 -1/4 (.f64 l (.f64 K K)) (fma.f64 2 l U))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) l)) (+.f64 (.f64 2 l) (+.f64 (.f64 1/192 (*.f64 (pow.f64 K 4) l)) U)))
(fma.f64 -1/4 (.f64 l (.f64 K K)) (fma.f64 2 l (fma.f64 1/192 (*.f64 l (pow.f64 K 4)) U)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) l)) (+.f64 (.f64 2 l) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) l)) (+.f64 (.f64 -1/23040 (*.f64 (pow.f64 K 6) l)) U))))
(fma.f64 -1/4 (.f64 l (.f64 K K)) (fma.f64 2 l (fma.f64 1/192 (.f64 l (pow.f64 K 4)) (fma.f64 -1/23040 (.f64 l (pow.f64 K 6)) U))))
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
U
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
U
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(+.f64 l l)
(+.f64 0 (+.f64 l l))
(+.f64 l l)
(+.f64 (.f64 l (+.f64 l l)) (.f64 l (+.f64 l l)))
(pow.f64 (+.f64 l l) 2)
(+.f64 (.f64 l (cos.f64 (.f64 1/2 K))) (.f64 l (cos.f64 (.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(+.f64 (.f64 (+.f64 l l) l) (.f64 (+.f64 l l) l))
(pow.f64 (+.f64 l l) 2)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) (.f64 (cos.f64 (.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) l)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) l))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) l)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) l))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) l))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) l))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) l))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 l l))) 1)
(+.f64 l l)
(-.f64 (/.f64 (.f64 l l) 0) (/.f64 (.f64 l l) 0))
0
(/.f64 1 (+.f64 l l))
(/.f64 0 (+.f64 l l))
(/.f64 1 (/.f64 (fma.f64 l l 0) (*.f64 2 (pow.f64 l 3))))
0
(/.f64 (*.f64 2 (pow.f64 l 3)) (fma.f64 l l 0))
0
(/.f64 0 0)
0
(/.f64 (pow.f64 (*.f64 2 (pow.f64 l 3)) 2) (pow.f64 (fma.f64 l l 0) 2))
(/.f64 0 (pow.f64 (fma.f64 l l 0) 2))
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 l 3))) (cbrt.f64 (fma.f64 l l 0)))
(/.f64 0 (cbrt.f64 (fma.f64 l l 0)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 l 3))) (sqrt.f64 (fma.f64 l l 0)))
(/.f64 0 (sqrt.f64 (fma.f64 l l 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 l 3))) (neg.f64 (fma.f64 l l 0)))
(/.f64 -1 (neg.f64 (fma.f64 l l 0)))
(/.f64 (.f64 0 (.f64 2 (pow.f64 l 3))) (*.f64 0 (fma.f64 l l 0)))
0
(/.f64 (.f64 (.f64 2 (pow.f64 l 3)) 0) (*.f64 (fma.f64 l l 0) 0))
0
(/.f64 (.f64 (.f64 2 (pow.f64 l 3)) (+.f64 l l)) (fma.f64 l l 0))
0
(/.f64 (*.f64 0 (+.f64 l l)) 0)
0
(/.f64 (.f64 (.f64 2 (pow.f64 l 3)) (cos.f64 (*.f64 1/2 K))) (fma.f64 l l 0))
0
(/.f64 (.f64 0 (cos.f64 (.f64 1/2 K))) 0)
0
(/.f64 (.f64 (+.f64 l l) (.f64 2 (pow.f64 l 3))) (fma.f64 l l 0))
0
(/.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (pow.f64 l 3))) (fma.f64 l l 0))
0
(/.f64 (.f64 (cos.f64 (.f64 1/2 K)) 0) 0)
0
(pow.f64 (+.f64 l l) 1/2)
(sqrt.f64 (+.f64 l l))
(pow.f64 (+.f64 l l) 1)
(+.f64 l l)
(pow.f64 (+.f64 l l) 1/4)
(pow.f64 (+.f64 l l) 3)
(pow.f64 (+.f64 l l) 2)
(pow.f64 (+.f64 l l) -1/2)
(pow.f64 (+.f64 l l) 9)
(pow.f64 (+.f64 l l) 4)
(pow.f64 (+.f64 l l) 3/2)
(pow.f64 (+.f64 l l) 1/3)
(cbrt.f64 (+.f64 l l))
(pow.f64 (+.f64 l l) -1)
(/.f64 0 (+.f64 l l))
(pow.f64 (+.f64 l l) -3)
(pow.f64 (+.f64 l l) -2)
(pow.f64 (+.f64 l l) -1/3)
(*.f64 (pow.f64 (+.f64 l l) -1/6) (pow.f64 (+.f64 l l) -1/6))
(pow.f64 (+.f64 l l) 2/3)
(*.f64 (cbrt.f64 (+.f64 l l)) (cbrt.f64 (+.f64 l l)))
(pow.f64 (+.f64 l l) 6)
(pow.f64 (+.f64 l l) 9/2)
(pow.f64 (+.f64 l l) 1/6)
(pow.f64 (+.f64 l l) 1/9)
(*.f64 (pow.f64 (+.f64 l l) 1/18) (pow.f64 (+.f64 l l) 1/18))
(pow.f64 (+.f64 l l) 5)
(pow.f64 (+.f64 l l) 5/2)
(pow.f64 (+.f64 l l) 4/3)
(.f64 (.f64 (cbrt.f64 (+.f64 l l)) (cbrt.f64 (+.f64 l l))) (*.f64 (cbrt.f64 (+.f64 l l)) (cbrt.f64 (+.f64 l l))))
(pow.f64 (+.f64 l l) 7/2)
(pow.f64 (+.f64 l l) 5/6)
(pow.f64 (+.f64 l l) 10/3)
(pow.f64 (+.f64 l l) 7/3)
(*.f64 (pow.f64 (+.f64 l l) 7/6) (pow.f64 (+.f64 l l) 7/6))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 l l)))
(pow.f64 0 (log.f64 (+.f64 l l)))
(pow.f64 (/.f64 (fma.f64 l l 0) (*.f64 2 (pow.f64 l 3))) -1)
0
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 l l))) 2)) (cbrt.f64 (log.f64 (+.f64 l l))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 l l)))) (sqrt.f64 (log.f64 (+.f64 l l))))
(sqrt.f64 (+.f64 l l))
(fabs.f64 (+.f64 l l))
(log.f64 (pow.f64 (exp.f64 2) l))
(*.f64 l (log.f64 (exp.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 l l))))
(+.f64 l l)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 l)) (exp.f64 l)))
(log.f64 (*.f64 (+.f64 0 (expm1.f64 l)) (exp.f64 l)))
(log.f64 (*.f64 (exp.f64 l) (+.f64 1 (expm1.f64 l))))
(log.f64 (*.f64 (+.f64 0 (expm1.f64 l)) (exp.f64 l)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 l)) (+.f64 1 (expm1.f64 l))))
(log.f64 (*.f64 (+.f64 0 (expm1.f64 l)) (+.f64 0 (expm1.f64 l))))
(cbrt.f64 (+.f64 l l))
(hypot.f64 (sqrt.f64 l) (sqrt.f64 l))
(expm1.f64 (log1p.f64 (+.f64 l l)))
(+.f64 l l)
(log1p.f64 (expm1.f64 (+.f64 l l)))
(+.f64 l l)
(exp.f64 (log.f64 (+.f64 l l)))
(+.f64 l l)
(exp.f64 (*.f64 (log.f64 (+.f64 l l)) 1))
(+.f64 l l)
(exp.f64 (*.f64 (log.f64 (+.f64 l l)) 1/2))
(sqrt.f64 (+.f64 l l))
(exp.f64 (*.f64 (log.f64 (+.f64 l l)) 3))
(pow.f64 (+.f64 l l) 3)
(exp.f64 (*.f64 (log.f64 (+.f64 l l)) 2))
(pow.f64 (+.f64 l l) 2)
(exp.f64 (*.f64 (log.f64 (+.f64 l l)) 1/3))
(cbrt.f64 (+.f64 l l))
(exp.f64 (*.f64 (log.f64 (+.f64 l l)) 3/2))
(pow.f64 (+.f64 l l) 3/2)
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 3) 3))
(pow.f64 (pow.f64 (+.f64 l l) 3) 3)
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 3) 1/3))
(+.f64 l l)
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 3) 1))
(pow.f64 (+.f64 l l) 3)
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 1/2))
(sqrt.f64 (+.f64 l l))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 1))
(+.f64 l l)
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 3))
(pow.f64 (+.f64 l l) 3)
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 2))
(pow.f64 (+.f64 l l) 2)
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 1/3))
(cbrt.f64 (+.f64 l l))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 3/2))
(pow.f64 (+.f64 l l) 3/2)
(fma.f64 l (+.f64 l l) (*.f64 l (+.f64 l l)))
(pow.f64 (+.f64 l l) 2)
(fma.f64 l (cos.f64 (.f64 1/2 K)) (.f64 l (cos.f64 (*.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(fma.f64 l 1 l)
(fma.f64 l 0 l)
(fma.f64 (+.f64 l l) l (*.f64 (+.f64 l l) l))
(pow.f64 (+.f64 l l) 2)
(fma.f64 (cos.f64 (.f64 1/2 K)) l (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))
(fma.f64 1 l l)
(fma.f64 0 l l)
(fma.f64 (cbrt.f64 l) (cbrt.f64 (*.f64 l l)) l)
(fma.f64 (cbrt.f64 (*.f64 l l)) (cbrt.f64 l) l)
(fma.f64 (sqrt.f64 l) (sqrt.f64 l) l)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 l l) U))) 1)
(fma.f64 2 l U)
(-.f64 (/.f64 (+.f64 l l) (-.f64 (+.f64 l l) U)) (/.f64 (*.f64 U U) (-.f64 (+.f64 l l) U)))
(/.f64 (+.f64 l (-.f64 l (*.f64 U U))) (+.f64 l (-.f64 l U)))
(*.f64 (+.f64 (+.f64 l l) U) 1)
(fma.f64 2 l U)
(*.f64 1 (+.f64 (+.f64 l l) U))
(fma.f64 2 l U)
(*.f64 (cbrt.f64 (+.f64 (+.f64 l l) U)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 l l) U)) 2))
(fma.f64 2 l U)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 l l) U)) 2) (cbrt.f64 (+.f64 (+.f64 l l) U)))
(fma.f64 2 l U)
(*.f64 (hypot.f64 (+.f64 l l) (sqrt.f64 U)) (hypot.f64 (+.f64 l l) (sqrt.f64 U)))
(pow.f64 (hypot.f64 (+.f64 l l) (sqrt.f64 U)) 2)
(*.f64 (+.f64 (+.f64 l l) (pow.f64 U 3)) (/.f64 1 (fma.f64 U (-.f64 U (+.f64 l l)) (+.f64 l l))))
(/.f64 (*.f64 (+.f64 l (+.f64 l (pow.f64 U 3))) 0) (fma.f64 U (-.f64 U (+.f64 l l)) (+.f64 l l)))
(.f64 (-.f64 (+.f64 l l) (.f64 U U)) (/.f64 1 (-.f64 (+.f64 l l) U)))
(/.f64 0 (/.f64 (+.f64 l (-.f64 l U)) (+.f64 l (-.f64 l (*.f64 U U)))))
(/.f64 1 (/.f64 (fma.f64 U (-.f64 U (+.f64 l l)) (+.f64 l l)) (+.f64 (+.f64 l l) (pow.f64 U 3))))
(/.f64 (*.f64 (+.f64 l (+.f64 l (pow.f64 U 3))) 0) (fma.f64 U (-.f64 U (+.f64 l l)) (+.f64 l l)))
(/.f64 1 (/.f64 (-.f64 (+.f64 l l) U) (-.f64 (+.f64 l l) (*.f64 U U))))
(/.f64 0 (/.f64 (+.f64 l (-.f64 l U)) (+.f64 l (-.f64 l (*.f64 U U)))))
(/.f64 (+.f64 (+.f64 l l) (pow.f64 U 3)) (fma.f64 U (-.f64 U (+.f64 l l)) (+.f64 l l)))
(/.f64 (+.f64 l (+.f64 l (pow.f64 U 3))) (fma.f64 U (-.f64 U (+.f64 l l)) (+.f64 l l)))
(/.f64 (+.f64 (+.f64 l l) (pow.f64 U 3)) (fma.f64 U U (-.f64 (+.f64 l l) (*.f64 (+.f64 l l) U))))
(/.f64 (+.f64 l (+.f64 l (pow.f64 U 3))) (fma.f64 U U (-.f64 (+.f64 l l) (*.f64 U (+.f64 l l)))))
(/.f64 (-.f64 (+.f64 l l) (*.f64 U U)) (-.f64 (+.f64 l l) U))
(/.f64 (+.f64 l (-.f64 l (*.f64 U U))) (+.f64 l (-.f64 l U)))
(/.f64 (neg.f64 (+.f64 (+.f64 l l) (pow.f64 U 3))) (neg.f64 (fma.f64 U (-.f64 U (+.f64 l l)) (+.f64 l l))))
(/.f64 (neg.f64 (+.f64 l (+.f64 l (pow.f64 U 3)))) (neg.f64 (fma.f64 U (-.f64 U (+.f64 l l)) (+.f64 l l))))
(/.f64 (neg.f64 (-.f64 (+.f64 l l) (*.f64 U U))) (neg.f64 (-.f64 (+.f64 l l) U)))
(/.f64 (neg.f64 (+.f64 l (-.f64 l (*.f64 U U)))) (neg.f64 (+.f64 l (-.f64 l U))))
(/.f64 (-.f64 (*.f64 U U) (+.f64 l l)) (-.f64 U (+.f64 l l)))
(pow.f64 (+.f64 (+.f64 l l) U) 1)
(fma.f64 2 l U)
(pow.f64 (pow.f64 (+.f64 (+.f64 l l) U) 2) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 2 l U) 2))
(pow.f64 (pow.f64 (+.f64 (+.f64 l l) U) 3) 1/3)
(fma.f64 2 l U)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 l l) U)) 3)
(fma.f64 2 l U)
(pow.f64 (hypot.f64 (+.f64 l l) (sqrt.f64 U)) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (+.f64 l l) U)))
(pow.f64 0 (log.f64 (fma.f64 2 l U)))
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (+.f64 l l)) (+.f64 l l)) (+.f64 (+.f64 l l) (pow.f64 U 3))) -1)
(/.f64 (*.f64 (+.f64 l (+.f64 l (pow.f64 U 3))) 0) (fma.f64 U (-.f64 U (+.f64 l l)) (+.f64 l l)))
(pow.f64 (/.f64 (-.f64 (+.f64 l l) U) (-.f64 (+.f64 l l) (*.f64 U U))) -1)
(/.f64 0 (/.f64 (+.f64 l (-.f64 l U)) (+.f64 l (-.f64 l (*.f64 U U)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 l l) U))) 2)) (cbrt.f64 (log.f64 (+.f64 (+.f64 l l) U))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 l U))) 2)) (cbrt.f64 (log.f64 (fma.f64 2 l U))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (+.f64 l l) U)))) (sqrt.f64 (log.f64 (+.f64 (+.f64 l l) U))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 2 l U)))) (sqrt.f64 (log.f64 (fma.f64 2 l U))))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 l l) U) 2))
(sqrt.f64 (pow.f64 (fma.f64 2 l U) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 l l) U)))
(fma.f64 2 l U)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 l l) U))))
(fma.f64 2 l U)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 l l))) (exp.f64 U)))
(+.f64 (+.f64 l l) (log.f64 (exp.f64 U)))
(log.f64 (*.f64 (pow.f64 (exp.f64 2) l) (+.f64 1 (expm1.f64 U))))
(log.f64 (*.f64 (pow.f64 (exp.f64 2) l) (+.f64 0 (expm1.f64 U))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 l l))) (+.f64 1 (expm1.f64 U))))
(+.f64 (+.f64 l l) (log.f64 (+.f64 0 (expm1.f64 U))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 U)) (pow.f64 (exp.f64 2) l)))
(log.f64 (*.f64 (pow.f64 (exp.f64 2) l) (+.f64 0 (expm1.f64 U))))
(log.f64 (*.f64 (exp.f64 U) (+.f64 1 (expm1.f64 (+.f64 l l)))))
(+.f64 (+.f64 l l) (log.f64 (exp.f64 U)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 U)) (+.f64 1 (expm1.f64 (+.f64 l l)))))
(+.f64 (+.f64 l l) (log.f64 (+.f64 0 (expm1.f64 U))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 l l) U) 3))
(fma.f64 2 l U)
(expm1.f64 (log1p.f64 (+.f64 (+.f64 l l) U)))
(fma.f64 2 l U)
(log1p.f64 (expm1.f64 (+.f64 (+.f64 l l) U)))
(fma.f64 2 l U)
(exp.f64 (log.f64 (+.f64 (+.f64 l l) U)))
(fma.f64 2 l U)
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 l l) U)) 1))
(fma.f64 2 l U)
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (+.f64 l l) U))) 1/3))
(exp.f64 (.f64 3 (.f64 (log.f64 (fma.f64 2 l U)) 1/3)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (+.f64 l l) U))) 3))
(fma.f64 2 l U)
(exp.f64 (*.f64 (log.f64 (hypot.f64 (+.f64 l l) (sqrt.f64 U))) 2))
(pow.f64 (hypot.f64 (+.f64 l l) (sqrt.f64 U)) 2)
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (+.f64 l l) U)) 1) 1))
(fma.f64 2 l U)
(fma.f64 (+.f64 l l) (+.f64 l l) U)
(+.f64 (pow.f64 (+.f64 l l) 2) U)
(fma.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K)) U)
(fma.f64 (+.f64 l l) 1 U)
(+.f64 0 U)
(fma.f64 (+.f64 l l) (cbrt.f64 (cos.f64 (*.f64 1/2 K))) U)
(fma.f64 (+.f64 l l) (sqrt.f64 (cos.f64 (*.f64 1/2 K))) U)
(fma.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(fma.f64 U 1 (+.f64 l l))
(fma.f64 U 0 (+.f64 l l))
(fma.f64 1 (+.f64 l l) U)
(+.f64 0 U)
(fma.f64 1 U (+.f64 l l))
(fma.f64 0 U (+.f64 l l))
(fma.f64 (cbrt.f64 U) (pow.f64 (cbrt.f64 U) 2) (+.f64 l l))
(fma.f64 (pow.f64 (cbrt.f64 U) 2) (cbrt.f64 U) (+.f64 l l))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 K))) 2) (+.f64 l l) U)
(fma.f64 (sqrt.f64 U) (sqrt.f64 U) (+.f64 l l))
(fma.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 K))) (+.f64 l l) U)
(fma.f64 2 (.f64 l (cos.f64 (.f64 1/2 K))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(fma.f64 (.f64 (cos.f64 (.f64 1/2 K)) 2) l U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l) U)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 34 computations (32% saved)

series8.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	K	@	inf	(.f64 J (.f64 (.f64 2 l) (cos.f64 (.f64 1/2 K))))
0.0ms	J	@	-inf	(.f64 J (.f64 (.f64 2 l) (cos.f64 (.f64 1/2 K))))
0.0ms	J	@	0	(.f64 J (.f64 (.f64 2 l) (cos.f64 (.f64 1/2 K))))
0.0ms	K	@	0	(.f64 J (.f64 (.f64 2 l) (cos.f64 (.f64 1/2 K))))
0.0ms	K	@	0	(+.f64 (.f64 J (.f64 (.f64 2 l) (cos.f64 (.f64 1/2 K)))) U)

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`log-prod_binary64`
460×	`pow-prod-down_binary64`
355×	`pow2_binary64`
339×	`fma-def_binary64`
254×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	273	43
2	3445	43

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

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

Outputs

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

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

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

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

497×	`unswap-sqr_binary64`
306×	`cancel-sign-sub-inv_binary64`
278×	`associate-+l+_binary64`
239×	`log-prod_binary64`
220×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	275	3799
1	708	3713
2	2531	3664

Stop Event

1×	node limit

Counts

209 → 156

Calls

Call 1

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

Outputs
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 l J))
(*.f64 (+.f64 l l) J)
(.f64 l (.f64 2 J))
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(fma.f64 2 (.f64 l J) (.f64 -1/4 (.f64 (.f64 l J) (*.f64 K K))))
(.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J)))))
(fma.f64 2 (.f64 l J) (fma.f64 1/192 (.f64 (.f64 l J) (pow.f64 K 4)) (.f64 -1/4 (.f64 (.f64 l J) (*.f64 K K)))))
(fma.f64 2 (.f64 l J) (.f64 (.f64 l J) (+.f64 (.f64 -1/4 (.f64 K K)) (.f64 1/192 (pow.f64 K 4)))))
(.f64 (.f64 l J) (+.f64 (.f64 -1/4 (.f64 K K)) (+.f64 2 (*.f64 1/192 (pow.f64 K 4)))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (.f64 -1/23040 (.f64 (pow.f64 K 6) (*.f64 l J))))))
(fma.f64 2 (.f64 l J) (fma.f64 1/192 (.f64 (.f64 l J) (pow.f64 K 4)) (fma.f64 -1/4 (.f64 (.f64 l J) (.f64 K K)) (.f64 -1/23040 (.f64 (*.f64 l J) (pow.f64 K 6))))))
(+.f64 (.f64 (.f64 l J) (+.f64 (.f64 -1/4 (.f64 K K)) (.f64 -1/23040 (pow.f64 K 6)))) (.f64 (.f64 l J) (+.f64 2 (.f64 1/192 (pow.f64 K 4)))))
(.f64 (.f64 l J) (+.f64 (+.f64 (.f64 -1/23040 (pow.f64 K 6)) (.f64 -1/4 (.f64 K K))) (+.f64 2 (.f64 1/192 (pow.f64 K 4)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(*.f64 2 l)
(+.f64 l l)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) l)) (*.f64 2 l))
(fma.f64 -1/4 (.f64 l (.f64 K K)) (+.f64 l l))
(.f64 l (+.f64 (.f64 -1/4 (*.f64 K K)) 2))
(.f64 l (+.f64 2 (.f64 -1/4 (*.f64 K K))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) l)) (+.f64 (.f64 2 l) (.f64 1/192 (*.f64 (pow.f64 K 4) l))))
(fma.f64 -1/4 (.f64 l (.f64 K K)) (fma.f64 2 l (.f64 1/192 (.f64 l (pow.f64 K 4)))))
(fma.f64 -1/4 (.f64 K (.f64 K l)) (.f64 l (+.f64 2 (.f64 1/192 (pow.f64 K 4)))))
(.f64 l (+.f64 (.f64 -1/4 (.f64 K K)) (+.f64 2 (.f64 1/192 (pow.f64 K 4)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) l)) (+.f64 (.f64 2 l) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) l)) (.f64 -1/23040 (*.f64 (pow.f64 K 6) l)))))
(fma.f64 -1/4 (.f64 l (.f64 K K)) (fma.f64 2 l (fma.f64 1/192 (.f64 l (pow.f64 K 4)) (.f64 -1/23040 (*.f64 l (pow.f64 K 6))))))
(fma.f64 -1/4 (.f64 K (.f64 K l)) (fma.f64 2 l (.f64 l (+.f64 (.f64 1/192 (pow.f64 K 4)) (*.f64 -1/23040 (pow.f64 K 6))))))
(.f64 l (+.f64 (+.f64 (.f64 -1/23040 (pow.f64 K 6)) (.f64 1/192 (pow.f64 K 4))) (+.f64 2 (.f64 -1/4 (*.f64 K K)))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
U
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
U
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))) U))
(fma.f64 2 (.f64 l J) (fma.f64 -1/4 (.f64 (.f64 l J) (.f64 K K)) U))
(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))) U)
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) U)))
(fma.f64 2 (.f64 l J) (fma.f64 1/192 (.f64 (.f64 l J) (pow.f64 K 4)) (fma.f64 -1/4 (.f64 (.f64 l J) (.f64 K K)) U)))
(+.f64 (.f64 (.f64 l J) (+.f64 (.f64 -1/4 (.f64 K K)) (.f64 1/192 (pow.f64 K 4)))) (fma.f64 2 (.f64 l J) U))
(+.f64 (.f64 (.f64 l J) (+.f64 (.f64 -1/4 (.f64 K K)) (+.f64 2 (*.f64 1/192 (pow.f64 K 4))))) U)
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (+.f64 (.f64 -1/23040 (.f64 (pow.f64 K 6) (*.f64 l J))) U))))
(fma.f64 2 (.f64 l J) (fma.f64 1/192 (.f64 (.f64 l J) (pow.f64 K 4)) (fma.f64 -1/4 (.f64 (.f64 l J) (.f64 K K)) (fma.f64 -1/23040 (.f64 (.f64 l J) (pow.f64 K 6)) U))))
(+.f64 (+.f64 (.f64 (.f64 l J) (+.f64 (.f64 -1/4 (.f64 K K)) (.f64 -1/23040 (pow.f64 K 6)))) (.f64 (.f64 l J) (+.f64 2 (.f64 1/192 (pow.f64 K 4))))) U)
(+.f64 (.f64 (.f64 l J) (+.f64 (+.f64 (.f64 -1/23040 (pow.f64 K 6)) (.f64 -1/4 (.f64 K K))) (+.f64 2 (.f64 1/192 (pow.f64 K 4))))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
U
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
U
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(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J))) 2) (.f64 U U)) (-.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J))) U))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J))) 2)) (fma.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 l -2) U))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J)) 2)) (-.f64 U (.f64 (+.f64 l l) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J)) 2) (.f64 U U)) (fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J) (neg.f64 U)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J))) 2) (.f64 U U)) (-.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J))) U))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J))) 2)) (fma.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 l -2) U))
(pow.f64 (fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J) U) 1)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(pow.f64 (pow.f64 (fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J) U) 2) 1/2)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(pow.f64 (pow.f64 (fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J) U) 3) 1/3)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J) U)) 3)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J) U)) 2)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J))) (pow.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J)) 2)) (+.f64 (pow.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (*.f64 1/2 K)) J)) 3) (pow.f64 U 3))) -1)
(.f64 (+.f64 (pow.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J)) 3) (pow.f64 U 3)) (/.f64 1 (fma.f64 U (-.f64 U (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J))) (pow.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J))) 3) (pow.f64 U 3)) (fma.f64 U (+.f64 U (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 l -2))) (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J))) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J))) 3) (pow.f64 U 3)) (fma.f64 U (fma.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 l -2) U) (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J))) 2)))
(pow.f64 (/.f64 (fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J) (neg.f64 U)) (-.f64 (pow.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J)) 2) (.f64 U U))) -1)
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J)) 2) (.f64 U U)) (fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J) (neg.f64 U)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J))) 2) (.f64 U U)) (-.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J))) U))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J))) 2)) (fma.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 l -2) U))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J) U) 2))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(log.f64 (exp.f64 (fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J) U)))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J) U))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J)))) (exp.f64 U)))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(log.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 2) l) (cos.f64 (.f64 1/2 K))) J) (+.f64 1 (expm1.f64 U))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J)))) (+.f64 1 (expm1.f64 U))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(log.f64 (.f64 (+.f64 1 (expm1.f64 U)) (pow.f64 (pow.f64 (pow.f64 (exp.f64 2) l) (cos.f64 (.f64 1/2 K))) J)))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(log.f64 (.f64 (exp.f64 U) (+.f64 1 (expm1.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J))))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(log.f64 (.f64 (+.f64 1 (expm1.f64 U)) (+.f64 1 (expm1.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J))))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J) U) 3))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J) U)))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J) U)))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(exp.f64 (log.f64 (fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J) U)))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(exp.f64 (.f64 (log.f64 (fma.f64 (+.f64 l l) (.f64 (cos.f64 (*.f64 1/2 K)) J) U)) 1))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 J (.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 2 (.f64 (.f64 l (cos.f64 (*.f64 1/2 K))) J) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (*.f64 J 2) l) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K)))) J U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (*.f64 1/2 K)) J)) 1 U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 U 1 (.f64 (+.f64 l l) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 1 (.f64 (+.f64 l l) (.f64 (cos.f64 (*.f64 1/2 K)) J)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 1 U (.f64 (+.f64 l l) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (cbrt.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J))) (cbrt.f64 (pow.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J)) 2)) U)
(fma.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))) (cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J))) 2)) U)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J)) 2)) (cbrt.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(fma.f64 (cbrt.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J))) (cbrt.f64 (pow.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J)) 2)) U)
(fma.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))) (cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J))) 2)) U)
(fma.f64 (pow.f64 (cbrt.f64 J) 2) (.f64 (cbrt.f64 J) (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (cbrt.f64 U) (pow.f64 (cbrt.f64 U) 2) (.f64 (+.f64 l l) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (pow.f64 (cbrt.f64 U) 2) (cbrt.f64 U) (.f64 (+.f64 l l) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K))))) 2) (.f64 (cbrt.f64 (.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K))))) J) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (sqrt.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J))) (sqrt.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (sqrt.f64 J) (.f64 (sqrt.f64 J) (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (sqrt.f64 U) (sqrt.f64 U) (.f64 (+.f64 l l) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (sqrt.f64 (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K))))) (.f64 (sqrt.f64 (.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K))))) J) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (.f64 (.f64 J 2) l) (cos.f64 (*.f64 1/2 K)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (.f64 J 2) (.f64 l (cos.f64 (*.f64 1/2 K))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (.f64 J (cos.f64 (.f64 1/2 K))) (+.f64 l l) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (.f64 J (pow.f64 (cbrt.f64 (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K))))) 2)) (cbrt.f64 (.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (.f64 J (sqrt.f64 (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))))) (sqrt.f64 (.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K))))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (.f64 (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))) (pow.f64 (cbrt.f64 J) 2)) (cbrt.f64 J) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (.f64 (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))) (sqrt.f64 J)) (sqrt.f64 J) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (.f64 (.f64 (.f64 J 2) l) 1) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (.f64 (.f64 (.f64 J 2) l) (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) 2)) (cbrt.f64 (cos.f64 (*.f64 1/2 K))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)
(fma.f64 (.f64 (.f64 (.f64 J 2) l) (sqrt.f64 (cos.f64 (.f64 1/2 K)))) (sqrt.f64 (cos.f64 (*.f64 1/2 K))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 65 to 38 computations (41.5% saved)

series13.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	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)
2.0ms	K	@	-inf	(.f64 (.f64 (+.f64 l l) J) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3))
1.0ms	J	@	inf	(.f64 (.f64 (+.f64 l l) J) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3))
1.0ms	l	@	inf	(.f64 (.f64 (+.f64 l l) J) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3))

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

567×	`log-prod_binary64`
369×	`pow-prod-down_binary64`
311×	`prod-diff_binary64`
296×	`pow2_binary64`
255×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	275	35
2	3181	32

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 K 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 K 1/2)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 K 1/2)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 K 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 K 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 K 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 K 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 K 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 K 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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 (pow.f64 (cbrt.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 (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 (cos.f64 (.f64 K 1/2)) 1/6) (pow.f64 (cos.f64 (.f64 K 1/2)) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 5/6) (pow.f64 (cos.f64 (.f64 K 1/2)) 1/6))))) (#(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 (pow.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (cbrt.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 sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))))))) (#(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 cos.f64 (.f64 K 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (.f64 K 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (.f64 K 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (.f64 K 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (.f64 K 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (cos.f64 (.f64 K 1/2)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (cos.f64 (.f64 K 1/2)))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (cos.f64 (.f64 K 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.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)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.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 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 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2) 1/2)))) (#(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 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2)))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (.f64 K 1/2))) 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 expm1.f64 (log1p.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 exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 (cos.f64 (.f64 K 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2)))))) 3/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (pow.f64 l 3)) (.f64 (cos.f64 (.f64 K 1/2)) J)) (fma.f64 l l 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 0 (.f64 (cos.f64 (.f64 K 1/2)) J)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))) (+.f64 l l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))) (+.f64 l l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 l l) (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 l l) (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 l l) (sqrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 K 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 K 1/2)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 K 1/2)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 K 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 K 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 K 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 K 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 K 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 K 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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 (pow.f64 (cbrt.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 (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 (cos.f64 (.f64 K 1/2)) 1/6) (pow.f64 (cos.f64 (.f64 K 1/2)) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 5/6) (pow.f64 (cos.f64 (.f64 K 1/2)) 1/6))))) (#(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 (pow.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (cbrt.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 pow.f64 (cos.f64 (.f64 K 1/2)) 1)))) (#(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 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2)))) 9)))) (#(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 pow.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))))))) (#(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 expm1.f64 (log1p.f64 (cos.f64 (.f64 K 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (.f64 K 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (.f64 K 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (.f64 K 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (cos.f64 (.f64 K 1/2)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (cos.f64 (*.f64 K 1/2)))) 2))))))

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

196×	`associate-r_binary64`
191×	`associate-l_binary64`
96×	`fma-def_binary64`
92×	`*-commutative_binary64`
83×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	259	1493
1	605	1493
2	2885	1493

Stop Event

1×

unsound

Counts

189 → 121

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)))))
(.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 1 1/3))
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)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J)))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (.f64 -1/23040 (.f64 (pow.f64 K 6) (*.f64 l J))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.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))
(+.f64 0 (cos.f64 (*.f64 K 1/2)))
(+.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)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 K 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 K 1/2))))))
(+.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))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 K 1/2)))) 1)
(.f64 (cos.f64 (.f64 K 1/2)) 1)
(.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 2))
(.f64 1 (cos.f64 (.f64 K 1/2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2) (cbrt.f64 (cos.f64 (*.f64 K 1/2))))
(.f64 (pow.f64 (cbrt.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)))
(.f64 (sqrt.f64 (cos.f64 (.f64 K 1/2))) (sqrt.f64 (cos.f64 (*.f64 K 1/2))))
(.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 1/6) (pow.f64 (cos.f64 (*.f64 K 1/2)) 5/6))
(.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 5/6) (pow.f64 (cos.f64 (*.f64 K 1/2)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2) 1) (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))
(log.f64 (exp.f64 (cos.f64 (*.f64 K 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 K 1/2)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 3))
(cos.f64 (*.f64 K 1/2))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 K 1/2))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 K 1/2))))
(exp.f64 (log.f64 (cos.f64 (*.f64 K 1/2))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 K 1/2))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 3)) 1/3))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (cos.f64 (*.f64 K 1/2)))) 3/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (cos.f64 (.f64 K 1/2)))) 2))
(+.f64 0 (cbrt.f64 (cos.f64 (*.f64 K 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))))) 1)
(.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 1)
(.f64 1 (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2)))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))))
(.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 1/6) (pow.f64 (cos.f64 (*.f64 K 1/2)) 1/6))
(pow.f64 (cos.f64 (*.f64 K 1/2)) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 1)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) 1/6)
(pow.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 3) 1/9)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))) 2) 3/2)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 K 1/2))) 2/3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 2))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 K 1/2))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2)))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (cos.f64 (*.f64 K 1/2)))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))))) 3/2))
(+.f64 0 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)))) 1)
(/.f64 (.f64 (.f64 2 (pow.f64 l 3)) (.f64 (cos.f64 (.f64 K 1/2)) J)) (fma.f64 l l 0))
(/.f64 (.f64 0 (.f64 (cos.f64 (*.f64 K 1/2)) J)) 0)
(pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)) 1)
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))) 3)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))) 2)
(pow.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l))) (+.f64 l l)) 3)
(pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l))) (+.f64 l l)) 2)
(pow.f64 (.f64 (+.f64 l l) (pow.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l)) 3)) 1/3)
(pow.f64 (.f64 (+.f64 l l) (cbrt.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l)))) 3)
(pow.f64 (.f64 (+.f64 l l) (sqrt.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l)))) 2)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (*.f64 K 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)) 3))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))))
(exp.f64 (log.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l)))) 2))
(+.f64 0 (cos.f64 (*.f64 K 1/2)))
(+.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)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 K 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 K 1/2))))))
(+.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))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 K 1/2)))) 1)
(.f64 (cos.f64 (.f64 K 1/2)) 1)
(.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 2))
(.f64 1 (cos.f64 (.f64 K 1/2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2) (cbrt.f64 (cos.f64 (*.f64 K 1/2))))
(.f64 (pow.f64 (cbrt.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)))
(.f64 (sqrt.f64 (cos.f64 (.f64 K 1/2))) (sqrt.f64 (cos.f64 (*.f64 K 1/2))))
(.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 1/6) (pow.f64 (cos.f64 (*.f64 K 1/2)) 5/6))
(.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 5/6) (pow.f64 (cos.f64 (*.f64 K 1/2)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2) 1) (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))))
(pow.f64 (cos.f64 (*.f64 K 1/2)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) 1/2)
(pow.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 3) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))) 9)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 K 1/2))) 2)
(pow.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 1/6) 6)
(sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))
(log.f64 (exp.f64 (cos.f64 (*.f64 K 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 K 1/2)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 K 1/2))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 K 1/2))))
(exp.f64 (log.f64 (cos.f64 (*.f64 K 1/2))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 K 1/2))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 3)) 1/3))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (cos.f64 (*.f64 K 1/2)))) 3/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (cos.f64 (.f64 K 1/2)))) 2))

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))))
(fma.f64 -1/8 (.f64 K K) (+.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)))))
(+.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 (cos.f64 (.f64 1/2 K)) (pow.f64 1 1/3))
1
(.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 1 1/3))
1
(.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 1 1/3))
1
(.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 1 1/3))
1
(.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 1 1/3))
1
(.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 1 1/3))
1
(.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 1 1/3))
1
(.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 1 1/3))
1
1
(+.f64 1 (*.f64 -1/24 (pow.f64 K 2)))
(+.f64 1 (.f64 (.f64 K K) -1/24))
(+.f64 1 (+.f64 (.f64 -1/24 (pow.f64 K 2)) (.f64 -1/1152 (pow.f64 K 4))))
(+.f64 1 (fma.f64 -1/24 (.f64 K K) (.f64 (pow.f64 K 4) -1/1152)))
(+.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)))))
(fma.f64 -23/414720 (pow.f64 K 6) (+.f64 1 (fma.f64 -1/24 (.f64 K K) (.f64 (pow.f64 K 4) -1/1152))))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
1
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
1
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
1
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
1
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
1
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
1
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
1
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
1
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(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
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(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
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(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
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(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
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(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
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(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(fma.f64 2 (.f64 l J) (.f64 -1/4 (.f64 (.f64 K K) (*.f64 l J))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J)))))
(fma.f64 2 (.f64 l J) (fma.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J)) (.f64 -1/4 (.f64 (.f64 K K) (*.f64 l J)))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (.f64 -1/23040 (.f64 (pow.f64 K 6) (*.f64 l J))))))
(fma.f64 2 (.f64 l J) (fma.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J)) (fma.f64 -1/4 (.f64 (.f64 K K) (.f64 l J)) (.f64 -1/23040 (.f64 (pow.f64 K 6) (*.f64 l J))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
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))))
(fma.f64 -1/8 (.f64 K K) (+.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)))))
(+.f64 (fma.f64 -1/8 (.f64 K K) 1) (fma.f64 -1/46080 (pow.f64 K 6) (.f64 1/384 (pow.f64 K 4))))
(cos.f64 (*.f64 1/2 K))
1
(cos.f64 (*.f64 1/2 K))
1
(cos.f64 (*.f64 1/2 K))
1
(cos.f64 (*.f64 1/2 K))
1
(cos.f64 (*.f64 1/2 K))
1
(cos.f64 (*.f64 1/2 K))
1
(cos.f64 (*.f64 1/2 K))
1
(cos.f64 (*.f64 1/2 K))
1
(+.f64 0 (cos.f64 (*.f64 K 1/2)))
1
(+.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)))
(fma.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)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 K 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 K 1/2))))))
1
(+.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))))))
1
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 K 1/2)))) 1)
1
(.f64 (cos.f64 (.f64 K 1/2)) 1)
1
(.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 2))
1
(.f64 1 (cos.f64 (.f64 K 1/2)))
1
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2) (cbrt.f64 (cos.f64 (*.f64 K 1/2))))
1
(.f64 (pow.f64 (cbrt.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)))
1
(.f64 (sqrt.f64 (cos.f64 (.f64 K 1/2))) (sqrt.f64 (cos.f64 (*.f64 K 1/2))))
1
(.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 1/6) (pow.f64 (cos.f64 (*.f64 K 1/2)) 5/6))
(.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 5/6) (pow.f64 (cos.f64 (*.f64 K 1/2)) 1/6))
(.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 1/6) (pow.f64 (cos.f64 (*.f64 K 1/2)) 5/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2) 1) (cbrt.f64 (cos.f64 (.f64 K 1/2))))
1
(.f64 (pow.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))))
1
(sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))
(log.f64 (exp.f64 (cos.f64 (*.f64 K 1/2))))
1
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 K 1/2)))))
1
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 3))
1
(cos.f64 (*.f64 K 1/2))
1
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 K 1/2))))
1
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 K 1/2))))
1
(exp.f64 (log.f64 (cos.f64 (*.f64 K 1/2))))
1
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 K 1/2))) 1))
1
(exp.f64 (.f64 (log.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 3)) 1/3))
1
(exp.f64 (.f64 (.f64 2/3 (log.f64 (cos.f64 (*.f64 K 1/2)))) 3/2))
1
(exp.f64 (.f64 (log.f64 (sqrt.f64 (cos.f64 (.f64 K 1/2)))) 2))
1
(+.f64 0 (cbrt.f64 (cos.f64 (*.f64 K 1/2))))
1
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2)))))))
1
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2)))))))
1
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))))) 1)
1
(.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 1)
1
(.f64 1 (cbrt.f64 (cos.f64 (.f64 K 1/2))))
1
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))) 2))
1
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2)))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))))
1
(.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 1/6) (pow.f64 (cos.f64 (*.f64 K 1/2)) 1/6))
1
(pow.f64 (cos.f64 (*.f64 K 1/2)) 1/3)
1
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 1)
1
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) 1/6)
(sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 3) 1/9)
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 3) 1/18) (pow.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 3) 1/18))
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 2) 1/2)
1
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))) 3)
1
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))) 2) 3/2)
1
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 K 1/2))) 2/3)
1
(pow.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 1/6) 2)
1
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 2))
1
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))))
1
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))))))
1
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))))
1
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))))
1
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))))
1
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 K 1/2))) 1/3))
1
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2)))) 1))
1
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))))) 3))
1
(exp.f64 (.f64 (.f64 1/6 (log.f64 (cos.f64 (*.f64 K 1/2)))) 2))
1
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))))) 3/2))
1
(+.f64 0 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2))))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (.f64 K 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)))) 1)
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(/.f64 (.f64 (.f64 2 (pow.f64 l 3)) (.f64 (cos.f64 (.f64 K 1/2)) J)) (fma.f64 l l 0))
(/.f64 (.f64 2 (pow.f64 l 3)) (/.f64 (fma.f64 l l 0) (.f64 J (cos.f64 (*.f64 K 1/2)))))
(/.f64 (.f64 0 (.f64 (cos.f64 (*.f64 K 1/2)) J)) 0)
1
(pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)) 1)
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)) 2) 1/2)
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)) 3) 1/3)
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))) 3)
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))) 2)
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(pow.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l))) (+.f64 l l)) 3)
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l))) (+.f64 l l)) 2)
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(pow.f64 (.f64 (+.f64 l l) (pow.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l)) 3)) 1/3)
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(pow.f64 (.f64 (+.f64 l l) (cbrt.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l)))) 3)
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(pow.f64 (.f64 (+.f64 l l) (sqrt.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l)))) 2)
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)) 2))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 l) 2) (cos.f64 (*.f64 K 1/2))))
(.f64 (cos.f64 (.f64 K 1/2)) (log.f64 (pow.f64 (exp.f64 l) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)))))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)) 3))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(exp.f64 (log.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l))) 1))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l)))) 1/3))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l)))) 3))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l)))) 2))
(.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))))
(+.f64 0 (cos.f64 (*.f64 K 1/2)))
1
(+.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)))
(fma.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)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 K 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 K 1/2))))))
1
(+.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))))))
1
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 K 1/2)))) 1)
1
(.f64 (cos.f64 (.f64 K 1/2)) 1)
1
(.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 2))
1
(.f64 1 (cos.f64 (.f64 K 1/2)))
1
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2) (cbrt.f64 (cos.f64 (*.f64 K 1/2))))
1
(.f64 (pow.f64 (cbrt.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)))
1
(.f64 (sqrt.f64 (cos.f64 (.f64 K 1/2))) (sqrt.f64 (cos.f64 (*.f64 K 1/2))))
1
(.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 1/6) (pow.f64 (cos.f64 (*.f64 K 1/2)) 5/6))
(.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 5/6) (pow.f64 (cos.f64 (*.f64 K 1/2)) 1/6))
(.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 1/6) (pow.f64 (cos.f64 (*.f64 K 1/2)) 5/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2) 1) (cbrt.f64 (cos.f64 (.f64 K 1/2))))
1
(.f64 (pow.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))))
1
(pow.f64 (cos.f64 (*.f64 K 1/2)) 1)
1
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3)
1
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) 1/2)
(sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 3) 1/3)
1
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 2) 3/2)
1
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2)))) 9)
1
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 K 1/2))) 2)
1
(pow.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 1/6) 6)
1
(sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))
(log.f64 (exp.f64 (cos.f64 (*.f64 K 1/2))))
1
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 K 1/2)))))
1
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 3))
1
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 K 1/2))))
1
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 K 1/2))))
1
(exp.f64 (log.f64 (cos.f64 (*.f64 K 1/2))))
1
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 K 1/2))) 1))
1
(exp.f64 (.f64 (log.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 3)) 1/3))
1
(exp.f64 (.f64 (.f64 2/3 (log.f64 (cos.f64 (*.f64 K 1/2)))) 3/2))
1
(exp.f64 (.f64 (log.f64 (sqrt.f64 (cos.f64 (.f64 K 1/2)))) 2))
1

eval301.0ms (2.9%)

Compiler: Compiled 14467 to 8487 computations (41.3% saved)

prune212.0ms (2%)

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	819	16	835
Fresh	0	4	4
Picked	0	1	1
Done	1	6	7
Total	820	27	847

Error

Counts

847 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	17.0b	(fma.f64 J (.f64 4 (.f64 l l)) U)
	43.0b	(/.f64 (-.f64 (+.f64 l l) (*.f64 U U)) (-.f64 (+.f64 l l) U))
	62.3b	(/.f64 0 (/.f64 (+.f64 l (-.f64 l U)) (+.f64 l (-.f64 l (*.f64 U U)))))
	26.4b	(-.f64 (+.f64 1 (fma.f64 (+.f64 l l) J U)) 1)
	49.4b	(+.f64 (pow.f64 (+.f64 l l) -1/3) U)
	57.3b	(+.f64 (pow.f64 (+.f64 l l) -2) U)
	58.9b	(+.f64 (pow.f64 (+.f64 l l) -3) U)
	47.8b	(+.f64 (/.f64 1 (+.f64 l l)) U)
	57.3b	(+.f64 (/.f64 -1 (neg.f64 (fma.f64 l l 0))) U)
	21.1b	(+.f64 (+.f64 l l) U)
✓	16.3b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
✓	21.1b	(+.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K))) U)
✓	9.2b	(+.f64 (*.f64 (+.f64 l l) J) U)
✓	0.6b	(+.f64 (.f64 (.f64 (+.f64 l l) J) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3)) U)
✓	0.5b	(+.f64 (.f64 (.f64 (+.f64 l l) J) (cos.f64 (/.f64 K 2))) U)
▶	25.5b	(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))) U)
	0.8b	(+.f64 (.f64 (.f64 J (pow.f64 (cbrt.f64 (*.f64 2 l)) 3)) (cos.f64 (/.f64 K 2))) U)
✓	0.1b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K)))) U)
▶	8.9b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
▶	0.5b	(+.f64 (.f64 (.f64 2 l) (.f64 J (cos.f64 (.f64 1/2 K)))) U)
✓	0.5b	(+.f64 (.f64 J (.f64 (.f64 2 l) (cos.f64 (.f64 1/2 K)))) U)
	9.1b	(+.f64 (.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2))) U)
	25.5b	(+.f64 (.f64 J (.f64 l (+.f64 (.f64 -1/4 (.f64 K K)) 2))) U)
▶	29.9b	(+.f64 (cbrt.f64 (+.f64 l l)) U)
	43.0b	(.f64 (-.f64 (+.f64 l l) (.f64 U U)) (/.f64 1 (-.f64 (+.f64 l l) U)))
▶	54.0b	(.f64 l (.f64 J 2))
	17.1b	U

Compiler

Compiled 638 to 447 computations (29.9% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 48 to 32 computations (33.3% saved)

series31.0ms (0.3%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
26.0ms	U	@	inf	(+.f64 (.f64 (.f64 2 l) (.f64 J (cos.f64 (.f64 1/2 K)))) U)
0.0ms	K	@	0	(.f64 (.f64 2 l) (.f64 J (cos.f64 (.f64 1/2 K))))
0.0ms	l	@	0	(.f64 (.f64 2 l) (.f64 J (cos.f64 (.f64 1/2 K))))
0.0ms	l	@	-inf	(.f64 (.f64 2 l) (.f64 J (cos.f64 (.f64 1/2 K))))
0.0ms	K	@	0	(+.f64 (.f64 (.f64 2 l) (.f64 J (cos.f64 (.f64 1/2 K)))) U)

rewrite72.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`log-prod_binary64`
464×	`pow-prod-down_binary64`
362×	`fma-def_binary64`
355×	`pow2_binary64`
250×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	273	31
2	3457	31

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

Outputs

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

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

simplify103.0ms (1%)

Algorithm

1×	egg-herbie

Rules

841×	`fma-neg_binary64`
380×	`*-commutative_binary64`
360×	`distribute-rgt-in_binary64`
339×	`distribute-lft-in_binary64`
299×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	3270
1	614	3207
2	2022	3161
3	7416	3161

Stop Event

1×	node limit

Counts

170 → 129

Calls

Call 1

Inputs
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J)))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (.f64 -1/23040 (.f64 (pow.f64 K 6) (*.f64 l J))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.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))) 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))) U)
(.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))) 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))) U)
(.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))) 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))) 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))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(.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))) 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))) U)
(.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))) 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))) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))) U))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) U)))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (+.f64 (.f64 -1/23040 (.f64 (pow.f64 K 6) (*.f64 l 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))) 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))) 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))) 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))) U)
(.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))) 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))) 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))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) 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))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 0 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))) (+.f64 l l))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))) (+.f64 l l)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))) (+.f64 l l)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))) (+.f64 l l)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))))) 1)
(pow.f64 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))) 1)
(pow.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))) 2) 1/2)
(pow.f64 (cbrt.f64 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l)))) 3)
(pow.f64 (sqrt.f64 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l)))) 2)
(pow.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (*.f64 1/2 K))) (+.f64 l l)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))))))
(cbrt.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))) 3))
(expm1.f64 (log1p.f64 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l)))))
(log1p.f64 (expm1.f64 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l)))))
(exp.f64 (log.f64 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l)))))
(exp.f64 (.f64 (log.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2) (fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)) (neg.f64 U))))
(.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 1/2 K))) U) 1)
(.f64 1 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 1/2 K))) U))
(.f64 (cbrt.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 1/2 K))) U)) (pow.f64 (cbrt.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 1/2 K))) U)) 2) (cbrt.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)))
(.f64 (sqrt.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 1/2 K))) U)) (sqrt.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)))
(.f64 (fma.f64 8 (pow.f64 (.f64 (.f64 l J) (cos.f64 (.f64 1/2 K))) 3) (pow.f64 U 3)) (/.f64 1 (fma.f64 U (-.f64 U (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))) (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2))))
(.f64 (-.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2) (.f64 U U)) (/.f64 1 (fma.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l)) (neg.f64 U))))
(/.f64 1 (/.f64 (fma.f64 U (-.f64 U (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))) (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2)) (fma.f64 8 (pow.f64 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) 3) (pow.f64 U 3))))
(/.f64 1 (/.f64 (fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)) (neg.f64 U)) (-.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2) (.f64 U U))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 (.f64 l J) (cos.f64 (.f64 1/2 K))) 3) (pow.f64 U 3)) (fma.f64 U (-.f64 U (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))) (pow.f64 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))) 2)))
(/.f64 (fma.f64 8 (pow.f64 (.f64 (.f64 l J) (cos.f64 (.f64 1/2 K))) 3) (pow.f64 U 3)) (fma.f64 U U (-.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2) (.f64 2 (.f64 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)))))
(/.f64 (-.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2) (.f64 U U)) (fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)) (neg.f64 U)))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (.f64 (.f64 l J) (cos.f64 (.f64 1/2 K))) 3) (pow.f64 U 3))) (neg.f64 (fma.f64 U (-.f64 U (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))) (pow.f64 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2) (.f64 U U))) (neg.f64 (fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)) (neg.f64 U))))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2)) (-.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l)))))
(pow.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U) 1)
(pow.f64 (pow.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)) 3)
(pow.f64 (sqrt.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)) 2)
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))) (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2)) (fma.f64 8 (pow.f64 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) 3) (pow.f64 U 3))) -1)
(pow.f64 (/.f64 (fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)) (neg.f64 U)) (-.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2) (.f64 U U))) -1)
(sqrt.f64 (pow.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U) 2))
(log.f64 (exp.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))))) (exp.f64 U)))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))) (+.f64 l l)) (+.f64 1 (expm1.f64 U))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))))) (+.f64 1 (expm1.f64 U))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 U)) (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))) (+.f64 l l))))
(log.f64 (.f64 (exp.f64 U) (+.f64 1 (expm1.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 U)) (+.f64 1 (expm1.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))))))
(cbrt.f64 (pow.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)))
(log1p.f64 (expm1.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)))
(exp.f64 (log.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)))
(exp.f64 (.f64 (log.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 1/2 K))) U)) 1))
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)
(fma.f64 l (.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (+.f64 l l) (.f64 J (cos.f64 (.f64 1/2 K))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (*.f64 l J)) U)
(fma.f64 (.f64 J (cos.f64 (.f64 1/2 K))) (+.f64 l l) U)
(fma.f64 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))) 1 U)
(fma.f64 U 1 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))))
(fma.f64 1 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))) U)
(fma.f64 1 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))))
(fma.f64 (cbrt.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))) (cbrt.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2)) U)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2)) (cbrt.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))) U)
(fma.f64 (cbrt.f64 U) (pow.f64 (cbrt.f64 U) 2) (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))))
(fma.f64 (pow.f64 (cbrt.f64 U) 2) (cbrt.f64 U) (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 2) (.f64 (cbrt.f64 (.f64 J (cos.f64 (*.f64 1/2 K)))) (+.f64 l l)) U)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 l l)) 2) (.f64 (cbrt.f64 (+.f64 l l)) (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (sqrt.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))) (sqrt.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))) U)
(fma.f64 (sqrt.f64 U) (sqrt.f64 U) (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))))
(fma.f64 (sqrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) (.f64 (sqrt.f64 (.f64 J (cos.f64 (*.f64 1/2 K)))) (+.f64 l l)) U)
(fma.f64 (sqrt.f64 (+.f64 l l)) (.f64 (sqrt.f64 (+.f64 l l)) (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) 2 U)
(fma.f64 (.f64 2 (.f64 l J)) (cos.f64 (*.f64 1/2 K)) U)
(fma.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K))) J U)
(fma.f64 (.f64 (+.f64 l l) (pow.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 2)) (cbrt.f64 (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (.f64 (+.f64 l l) (sqrt.f64 (.f64 J (cos.f64 (.f64 1/2 K))))) (sqrt.f64 (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) 2) l U)
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (pow.f64 (cbrt.f64 (+.f64 l l)) 2)) (cbrt.f64 (+.f64 l l)) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (sqrt.f64 (+.f64 l l))) (sqrt.f64 (+.f64 l l)) U)
(fma.f64 (.f64 (.f64 2 (.f64 l J)) 1) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 (.f64 (.f64 2 (.f64 l J)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) 2)) (cbrt.f64 (cos.f64 (*.f64 1/2 K))) U)
(fma.f64 (.f64 (.f64 2 (.f64 l J)) (sqrt.f64 (cos.f64 (.f64 1/2 K)))) (sqrt.f64 (cos.f64 (*.f64 1/2 K))) U)

Outputs
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 l J))
(*.f64 (+.f64 l l) J)
(.f64 l (.f64 2 J))
(*.f64 J (+.f64 l l))
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(fma.f64 2 (.f64 l J) (.f64 -1/4 (.f64 (.f64 l J) (*.f64 K K))))
(.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J)))))
(fma.f64 2 (.f64 l J) (fma.f64 1/192 (.f64 (.f64 l J) (pow.f64 K 4)) (.f64 -1/4 (.f64 (.f64 l J) (*.f64 K K)))))
(fma.f64 2 (.f64 l J) (.f64 (.f64 l J) (+.f64 (.f64 -1/4 (.f64 K K)) (.f64 1/192 (pow.f64 K 4)))))
(.f64 (.f64 l J) (+.f64 (.f64 -1/4 (.f64 K K)) (+.f64 2 (*.f64 1/192 (pow.f64 K 4)))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (.f64 -1/23040 (.f64 (pow.f64 K 6) (*.f64 l J))))))
(fma.f64 2 (.f64 l J) (fma.f64 1/192 (.f64 (.f64 l J) (pow.f64 K 4)) (fma.f64 -1/4 (.f64 (.f64 l J) (.f64 K K)) (.f64 -1/23040 (.f64 (*.f64 l J) (pow.f64 K 6))))))
(+.f64 (.f64 (.f64 l J) (+.f64 (.f64 -1/4 (.f64 K K)) (.f64 -1/23040 (pow.f64 K 6)))) (.f64 (.f64 l J) (+.f64 2 (.f64 1/192 (pow.f64 K 4)))))
(.f64 (.f64 l J) (+.f64 (+.f64 (.f64 -1/23040 (pow.f64 K 6)) (.f64 -1/4 (.f64 K K))) (+.f64 2 (.f64 1/192 (pow.f64 K 4)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
U
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
U
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))) U))
(fma.f64 2 (.f64 l J) (fma.f64 -1/4 (.f64 (.f64 l J) (.f64 K K)) U))
(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))) U)
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) U)))
(fma.f64 2 (.f64 l J) (fma.f64 1/192 (.f64 (.f64 l J) (pow.f64 K 4)) (fma.f64 -1/4 (.f64 (.f64 l J) (.f64 K K)) U)))
(+.f64 (.f64 (.f64 l J) (+.f64 (.f64 -1/4 (.f64 K K)) (.f64 1/192 (pow.f64 K 4)))) (fma.f64 2 (.f64 l J) U))
(+.f64 (.f64 (.f64 l J) (+.f64 (.f64 -1/4 (.f64 K K)) (+.f64 2 (*.f64 1/192 (pow.f64 K 4))))) U)
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (+.f64 (.f64 -1/23040 (.f64 (pow.f64 K 6) (*.f64 l J))) U))))
(fma.f64 2 (.f64 l J) (fma.f64 1/192 (.f64 (.f64 l J) (pow.f64 K 4)) (fma.f64 -1/4 (.f64 (.f64 l J) (.f64 K K)) (fma.f64 -1/23040 (.f64 (.f64 l J) (pow.f64 K 6)) U))))
(+.f64 (+.f64 (.f64 (.f64 l J) (+.f64 (.f64 -1/4 (.f64 K K)) (.f64 -1/23040 (pow.f64 K 6)))) (.f64 (.f64 l J) (+.f64 2 (.f64 1/192 (pow.f64 K 4))))) U)
(+.f64 (.f64 (.f64 l J) (+.f64 (+.f64 (.f64 -1/23040 (pow.f64 K 6)) (.f64 -1/4 (.f64 K K))) (+.f64 2 (.f64 1/192 (pow.f64 K 4))))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
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(pow.f64 (pow.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U) 3) 1/3)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(pow.f64 (cbrt.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)) 3)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(pow.f64 (sqrt.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)) 2)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))) (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2)) (fma.f64 8 (pow.f64 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) 3) (pow.f64 U 3))) -1)
(.f64 (fma.f64 8 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 3) (pow.f64 U 3)) (/.f64 1 (fma.f64 U (-.f64 U (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))) (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 3) (pow.f64 U 3)) (fma.f64 U (-.f64 U (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))) (pow.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))) 2)))
(/.f64 (fma.f64 8 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 3) (pow.f64 U 3)) (fma.f64 U (fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l -2)) U) (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (+.f64 l l))) 2)))
(pow.f64 (/.f64 (fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)) (neg.f64 U)) (-.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2) (.f64 U U))) -1)
(/.f64 (-.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2) (.f64 U U)) (fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)) (neg.f64 U)))
(/.f64 (-.f64 (pow.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) 2) (.f64 U U)) (-.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))) U))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l))) 2)) (fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l -2)) U))
(sqrt.f64 (pow.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U) 2))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(log.f64 (exp.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))))) (exp.f64 U)))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))) (+.f64 l l)) (+.f64 1 (expm1.f64 U))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))))) (+.f64 1 (expm1.f64 U))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(log.f64 (.f64 (+.f64 1 (expm1.f64 U)) (pow.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))) (+.f64 l l))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(log.f64 (.f64 (exp.f64 U) (+.f64 1 (expm1.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(log.f64 (.f64 (+.f64 1 (expm1.f64 U)) (+.f64 1 (expm1.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(cbrt.f64 (pow.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U) 3))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(expm1.f64 (log1p.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(log1p.f64 (expm1.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(exp.f64 (log.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(exp.f64 (.f64 (log.f64 (fma.f64 2 (.f64 (.f64 l J) (cos.f64 (.f64 1/2 K))) U)) 1))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 2 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 l (.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (+.f64 l l) (.f64 J (cos.f64 (.f64 1/2 K))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (*.f64 l J)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (.f64 J (cos.f64 (.f64 1/2 K))) (+.f64 l l) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))) 1 U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 U 1 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 1 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 1 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (cbrt.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))) (cbrt.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2)) U)
(fma.f64 (cbrt.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))) (cbrt.f64 (pow.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) 2)) U)
(fma.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)))) (cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l))) 2)) U)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2)) (cbrt.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))) U)
(fma.f64 (cbrt.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))) (cbrt.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l))) 2)) U)
(fma.f64 (cbrt.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))) (cbrt.f64 (pow.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) 2)) U)
(fma.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)))) (cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l))) 2)) U)
(fma.f64 (cbrt.f64 U) (pow.f64 (cbrt.f64 U) 2) (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (pow.f64 (cbrt.f64 U) 2) (cbrt.f64 U) (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 2) (.f64 (cbrt.f64 (.f64 J (cos.f64 (*.f64 1/2 K)))) (+.f64 l l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 l l)) 2) (.f64 (cbrt.f64 (+.f64 l l)) (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (sqrt.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))) (sqrt.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l l)))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (sqrt.f64 U) (sqrt.f64 U) (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 l l))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (sqrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) (.f64 (sqrt.f64 (.f64 J (cos.f64 (*.f64 1/2 K)))) (+.f64 l l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (sqrt.f64 (+.f64 l l)) (.f64 (sqrt.f64 (+.f64 l l)) (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (.f64 (.f64 l J) (cos.f64 (*.f64 1/2 K))) 2 U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (.f64 2 (.f64 l J)) (cos.f64 (*.f64 1/2 K)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K))) J U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (.f64 (+.f64 l l) (pow.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 2)) (cbrt.f64 (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (.f64 (+.f64 l l) (sqrt.f64 (.f64 J (cos.f64 (.f64 1/2 K))))) (sqrt.f64 (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) 2) l U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (pow.f64 (cbrt.f64 (+.f64 l l)) 2)) (cbrt.f64 (+.f64 l l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (sqrt.f64 (+.f64 l l))) (sqrt.f64 (+.f64 l l)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (.f64 (.f64 2 (.f64 l J)) 1) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (.f64 (.f64 2 (.f64 l J)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) 2)) (cbrt.f64 (cos.f64 (*.f64 1/2 K))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)
(fma.f64 (.f64 (.f64 2 (.f64 l J)) (sqrt.f64 (cos.f64 (.f64 1/2 K)))) (sqrt.f64 (cos.f64 (*.f64 1/2 K))) U)
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (+.f64 l l)) U)

localize6.0ms (0.1%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (.f64 -1/4 (.f64 K K)))
✓	9.1b	(.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K))))

Compiler

Compiled 52 to 25 computations (51.9% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K))))
1.0ms	J	@	0	(.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K))))
1.0ms	K	@	inf	(.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K))))
1.0ms	J	@	inf	(.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K))))
1.0ms	K	@	0	(.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K))))

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`log-prod_binary64`
490×	`prod-diff_binary64`
428×	`pow-prod-down_binary64`
302×	`pow2_binary64`
212×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	239	22
2	3103	22

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

Inputs
(.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K))))
(+.f64 2 (.f64 -1/4 (.f64 K K)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (*.f64 J 2)) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 l (*.f64 J (fma.f64 -1/4 (*.f64 K K) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 l (*.f64 J 2)) 1) (*.f64 (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (*.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (*.f64 J (fma.f64 -1/4 (*.f64 K K) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (*.f64 J (fma.f64 -1/4 (*.f64 K K) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (*.f64 J (fma.f64 -1/4 (*.f64 K K) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 l (*.f64 J (fma.f64 -1/4 (*.f64 K K) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 l (*.f64 J 2)) 3) (*.f64 (pow.f64 (*.f64 l J) 3) (*.f64 (pow.f64 K 6) -1/64))) (+.f64 (pow.f64 (*.f64 l (*.f64 J 2)) 2) (-.f64 (pow.f64 (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))) 2) (*.f64 (*.f64 l (*.f64 J 2)) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 l (*.f64 J 2)) 2) (pow.f64 (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))) 2)) (-.f64 (*.f64 l (*.f64 J 2)) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 K 6) -1/64 8) (*.f64 l J)) (fma.f64 (*.f64 -1/4 (*.f64 K K)) (fma.f64 -1/4 (*.f64 K K) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 (pow.f64 K 4) 1/16)) (*.f64 l J)) (+.f64 2 (*.f64 1/4 (*.f64 K K))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 l J) (fma.f64 (pow.f64 K 6) -1/64 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(2) ((x fma.f64 l (*.f64 J (*.f64 -1/4 (*.f64 K K))) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 J (*.f64 l 2) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 J (*.f64 l (*.f64 -1/4 (*.f64 K K))) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l J) 2 (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l J) (*.f64 -1/4 (*.f64 K K)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 l J) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (*.f64 (*.f64 K K) (*.f64 l J)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/4 (*.f64 K K)) (*.f64 l J) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> 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((x fma.f64 (sqrt.f64 (*.f64 l (*.f64 J 2))) (sqrt.f64 (*.f64 l (*.f64 J 2))) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 J) l (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/4 (*.f64 K K)) J) l (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 l) J (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 (*.f64 l J)) 2)) (cbrt.f64 (*.f64 l J)) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (*.f64 l J))) (sqrt.f64 (*.f64 l J)) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 l J) -1/4) (*.f64 K K) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 l J) (*.f64 K K)) -1/4 (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 l J) (cbrt.f64 (*.f64 (pow.f64 K 4) 1/16))) (cbrt.f64 (*.f64 -1/4 (*.f64 K K))) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 l J) (*.f64 K (sqrt.f64 -1/4))) (*.f64 K (sqrt.f64 -1/4)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 l J) (*.f64 -1/4 K)) K (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/4 (*.f64 K K)) l) J (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 K (sqrt.f64 -1/4)) (cbrt.f64 (*.f64 l J))) 2) (cbrt.f64 (*.f64 l J)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/4 (*.f64 K K)) (sqrt.f64 (*.f64 l J))) (sqrt.f64 (*.f64 l J)) (*.f64 l (*.f64 J 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/4 (*.f64 K K) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (+.f64 2 (*.f64 1/4 (*.f64 K K)))) (/.f64 (*.f64 (pow.f64 K 4) 1/16) (+.f64 2 (*.f64 1/4 (*.f64 K K)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/4 (*.f64 K K) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/4 (*.f64 K K) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 K K) 2)) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 K K) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 K K) 2)) 2) (cbrt.f64 (fma.f64 -1/4 (*.f64 K K) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/4 (*.f64 K K) 2)) (sqrt.f64 (fma.f64 -1/4 (*.f64 K K) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 K 6) -1/64 8) (/.f64 1 (fma.f64 (*.f64 -1/4 (*.f64 K K)) (fma.f64 -1/4 (*.f64 K K) -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (*.f64 (pow.f64 K 4) 1/16)) (/.f64 1 (+.f64 2 (*.f64 1/4 (*.f64 K K)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 -1/4 (*.f64 K K)) (fma.f64 -1/4 (*.f64 K K) -2) 4) (fma.f64 (pow.f64 K 6) -1/64 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (*.f64 1/4 (*.f64 K K))) (-.f64 4 (*.f64 (pow.f64 K 4) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 K 6) -1/64 8) (fma.f64 (*.f64 -1/4 (*.f64 K K)) (fma.f64 -1/4 (*.f64 K K) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 K 6) -1/64 8) (fma.f64 (pow.f64 K 4) 1/16 (-.f64 4 (*.f64 -1/2 (*.f64 K K)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (pow.f64 K 4) 1/16)) (+.f64 2 (*.f64 1/4 (*.f64 K K))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 K 6) -1/64 8)) (neg.f64 (fma.f64 (*.f64 -1/4 (*.f64 K K)) (fma.f64 -1/4 (*.f64 K K) -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (*.f64 (pow.f64 K 4) 1/16))) (neg.f64 (+.f64 2 (*.f64 1/4 (*.f64 K K)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 K 4) 1/16 -4) (fma.f64 -1/4 (*.f64 K K) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/4 (*.f64 K K) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/4 (*.f64 K K) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/4 (*.f64 K K) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 K K) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/4 (*.f64 K K) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 -1/4 (*.f64 K K)) (fma.f64 -1/4 (*.f64 K K) -2) 4) (fma.f64 (pow.f64 K 6) -1/64 8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 (*.f64 1/4 (*.f64 K K))) (-.f64 4 (*.f64 (pow.f64 K 4) 1/16))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/4 (*.f64 K K) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/4 (*.f64 K K) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 (*.f64 K K) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/4 (*.f64 K K) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/4 (*.f64 K K) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/4 (*.f64 K K) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/4 (*.f64 K K) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/4 (*.f64 K K) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (*.f64 K K) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 K (*.f64 -1/4 K) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 K K) -1/4 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/4 (*.f64 K K)) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/4 (*.f64 K K)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 K) K) (*.f64 (pow.f64 (cbrt.f64 K) 2) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -1/4 (*.f64 K K))) (cbrt.f64 (*.f64 (pow.f64 K 4) 1/16)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 K 4) 1/16)) (cbrt.f64 (*.f64 -1/4 (*.f64 K K))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 K (sqrt.f64 -1/4)) (*.f64 K (sqrt.f64 -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/4 K) K 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/4 (*.f64 (cbrt.f64 K) K)) (pow.f64 (cbrt.f64 K) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/4 K) 1) K 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/4 K) (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/4 K) (sqrt.f64 K)) (sqrt.f64 K) 2)))))

simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

731×	`fma-def_binary64`
410×	`distribute-rgt-in_binary64`
397×	`distribute-lft-in_binary64`
322×	`unswap-sqr_binary64`
246×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	2347
1	702	2281
2	2297	2220

Stop Event

1×	node limit

Counts

158 → 154

Calls

Call 1

Inputs
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J)))
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J)))
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
2
(+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2)
(+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2)
(+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2)
(*.f64 -1/4 (pow.f64 K 2))
(+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2)
(+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2)
(+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2)
(*.f64 -1/4 (pow.f64 K 2))
(+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2)
(+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2)
(+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2)
(+.f64 (.f64 l (.f64 J 2)) (.f64 (.f64 K K) (.f64 -1/4 (.f64 l J))))
(+.f64 (.f64 (.f64 K K) (.f64 -1/4 (.f64 l J))) (.f64 l (.f64 J 2)))
(+.f64 0 (.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2))))
(+.f64 (.f64 (.f64 l (.f64 J 2)) 1) (.f64 (.f64 (.f64 K K) (.f64 -1/4 (.f64 l J))) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (.f64 J (fma.f64 -1/4 (.f64 K K) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (.f64 J (fma.f64 -1/4 (.f64 K K) 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (.f64 J (fma.f64 -1/4 (.f64 K K) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (.f64 J (fma.f64 -1/4 (.f64 K K) 2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2))))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 l (.f64 J 2)) 3) (.f64 (pow.f64 (.f64 l J) 3) (.f64 (pow.f64 K 6) -1/64))) (+.f64 (pow.f64 (.f64 l (.f64 J 2)) 2) (-.f64 (pow.f64 (.f64 (.f64 K K) (.f64 -1/4 (.f64 l J))) 2) (.f64 (.f64 l (.f64 J 2)) (.f64 (.f64 K K) (.f64 -1/4 (.f64 l J)))))))
(/.f64 (-.f64 (pow.f64 (.f64 l (.f64 J 2)) 2) (pow.f64 (.f64 (.f64 K K) (.f64 -1/4 (.f64 l J))) 2)) (-.f64 (.f64 l (.f64 J 2)) (.f64 (.f64 K K) (.f64 -1/4 (.f64 l J)))))
(/.f64 (.f64 (fma.f64 (pow.f64 K 6) -1/64 8) (.f64 l J)) (fma.f64 (.f64 -1/4 (.f64 K K)) (fma.f64 -1/4 (*.f64 K K) -2) 4))
(/.f64 (.f64 (-.f64 4 (.f64 (pow.f64 K 4) 1/16)) (.f64 l J)) (+.f64 2 (.f64 1/4 (*.f64 K K))))
(/.f64 (.f64 (.f64 l J) (fma.f64 (pow.f64 K 6) -1/64 8)) (fma.f64 (.f64 -1/4 (.f64 K K)) (fma.f64 -1/4 (*.f64 K K) -2) 4))
(/.f64 (.f64 (.f64 l J) (-.f64 4 (.f64 (pow.f64 K 4) 1/16))) (+.f64 2 (.f64 1/4 (*.f64 K K))))
(pow.f64 (.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2))) 1)
(pow.f64 (pow.f64 (.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))) 3)
(pow.f64 (sqrt.f64 (.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))) 2)
(sqrt.f64 (pow.f64 (.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2))) 2))
(log.f64 (pow.f64 (exp.f64 l) (.f64 J (fma.f64 -1/4 (.f64 K K) 2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2))))))
(log.f64 (.f64 (exp.f64 (.f64 (.f64 K K) (.f64 -1/4 (.f64 l J)))) (exp.f64 (.f64 l (*.f64 J 2)))))
(cbrt.f64 (pow.f64 (.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2))) 3))
(expm1.f64 (log1p.f64 (.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))))
(log1p.f64 (expm1.f64 (.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))))
(exp.f64 (log.f64 (.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))))
(exp.f64 (.f64 (log.f64 (.f64 l (.f64 J (fma.f64 -1/4 (.f64 K K) 2)))) 1))
(fma.f64 l (.f64 J 2) (.f64 (.f64 K K) (.f64 -1/4 (*.f64 l J))))
(fma.f64 l (.f64 J (.f64 -1/4 (.f64 K K))) (.f64 l (*.f64 J 2)))
(fma.f64 J (.f64 l 2) (.f64 (.f64 K K) (.f64 -1/4 (*.f64 l J))))
(fma.f64 J (.f64 l (.f64 -1/4 (.f64 K K))) (.f64 l (*.f64 J 2)))
(fma.f64 (.f64 l J) 2 (.f64 (.f64 K K) (.f64 -1/4 (*.f64 l J))))
(fma.f64 (.f64 l J) (.f64 -1/4 (.f64 K K)) (.f64 l (*.f64 J 2)))
(fma.f64 2 (.f64 l J) (.f64 (.f64 K K) (.f64 -1/4 (*.f64 l J))))
(fma.f64 -1/4 (.f64 (.f64 K K) (.f64 l J)) (.f64 l (*.f64 J 2)))
(fma.f64 (.f64 K K) (.f64 -1/4 (.f64 l J)) (.f64 l (*.f64 J 2)))
(fma.f64 (.f64 -1/4 (.f64 K K)) (.f64 l J) (.f64 l (*.f64 J 2)))
(fma.f64 1 (.f64 l (.f64 J 2)) (.f64 (.f64 K K) (.f64 -1/4 (.f64 l J))))
(fma.f64 1 (.f64 (.f64 K K) (.f64 -1/4 (.f64 l J))) (.f64 l (.f64 J 2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 K 4) 1/16)) (.f64 (cbrt.f64 (.f64 -1/4 (.f64 K K))) (.f64 l J)) (.f64 l (*.f64 J 2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 l J)) 2) (.f64 (cbrt.f64 (.f64 l J)) 2) (.f64 (.f64 K K) (.f64 -1/4 (*.f64 l J))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 l J)) 2) (.f64 (cbrt.f64 (.f64 l J)) (.f64 -1/4 (.f64 K K))) (.f64 l (*.f64 J 2)))
(fma.f64 (.f64 K (sqrt.f64 -1/4)) (.f64 (.f64 K (sqrt.f64 -1/4)) (.f64 l J)) (.f64 l (.f64 J 2)))
(fma.f64 (sqrt.f64 (.f64 l J)) (.f64 (sqrt.f64 (.f64 l J)) 2) (.f64 (.f64 K K) (.f64 -1/4 (*.f64 l J))))
(fma.f64 (sqrt.f64 (.f64 l J)) (.f64 (sqrt.f64 (.f64 l J)) (.f64 -1/4 (.f64 K K))) (.f64 l (*.f64 J 2)))
(fma.f64 (.f64 l (.f64 J 2)) 1 (.f64 (.f64 (.f64 K K) (.f64 -1/4 (*.f64 l J))) 1))
(fma.f64 (.f64 -1/4 K) (.f64 K (.f64 l J)) (.f64 l (*.f64 J 2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 K K) (.f64 -1/4 (.f64 l J)))) 2) (cbrt.f64 (.f64 (.f64 K K) (.f64 -1/4 (.f64 l J)))) (.f64 l (.f64 J 2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 l (.f64 J 2))) 2) (cbrt.f64 (.f64 l (.f64 J 2))) (.f64 (.f64 K K) (.f64 -1/4 (.f64 l J))))
(fma.f64 (.f64 (.f64 K (sqrt.f64 -1/4)) (sqrt.f64 (.f64 l J))) (.f64 (.f64 K (sqrt.f64 -1/4)) (sqrt.f64 (.f64 l J))) (.f64 l (.f64 J 2)))
(fma.f64 (sqrt.f64 (.f64 l (.f64 J 2))) (sqrt.f64 (.f64 l (.f64 J 2))) (.f64 (.f64 K K) (.f64 -1/4 (.f64 l J))))
(fma.f64 (.f64 2 J) l (.f64 (.f64 K K) (.f64 -1/4 (*.f64 l J))))
(fma.f64 (.f64 (.f64 -1/4 (.f64 K K)) J) l (.f64 l (*.f64 J 2)))
(fma.f64 (.f64 2 l) J (.f64 (.f64 K K) (.f64 -1/4 (*.f64 l J))))
(fma.f64 (.f64 2 (pow.f64 (cbrt.f64 (.f64 l J)) 2)) (cbrt.f64 (.f64 l J)) (.f64 (.f64 K K) (.f64 -1/4 (*.f64 l J))))
(fma.f64 (.f64 2 (sqrt.f64 (.f64 l J))) (sqrt.f64 (.f64 l J)) (.f64 (.f64 K K) (.f64 -1/4 (*.f64 l J))))
(fma.f64 (.f64 (.f64 l J) -1/4) (.f64 K K) (.f64 l (*.f64 J 2)))
(fma.f64 (.f64 (.f64 l J) (.f64 K K)) -1/4 (.f64 l (*.f64 J 2)))
(fma.f64 (.f64 (.f64 l J) (cbrt.f64 (.f64 (pow.f64 K 4) 1/16))) (cbrt.f64 (.f64 -1/4 (.f64 K K))) (.f64 l (*.f64 J 2)))
(fma.f64 (.f64 (.f64 l J) (.f64 K (sqrt.f64 -1/4))) (.f64 K (sqrt.f64 -1/4)) (.f64 l (.f64 J 2)))
(fma.f64 (.f64 (.f64 l J) (.f64 -1/4 K)) K (.f64 l (*.f64 J 2)))
(fma.f64 (.f64 (.f64 -1/4 (.f64 K K)) l) J (.f64 l (*.f64 J 2)))
(fma.f64 (pow.f64 (.f64 (.f64 K (sqrt.f64 -1/4)) (cbrt.f64 (.f64 l J))) 2) (cbrt.f64 (.f64 l J)) (.f64 l (.f64 J 2)))
(fma.f64 (.f64 (.f64 -1/4 (.f64 K K)) (sqrt.f64 (.f64 l J))) (sqrt.f64 (.f64 l J)) (.f64 l (*.f64 J 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/4 (*.f64 K K) 2))) 1)
(-.f64 (/.f64 4 (+.f64 2 (.f64 1/4 (.f64 K K)))) (/.f64 (.f64 (pow.f64 K 4) 1/16) (+.f64 2 (.f64 1/4 (*.f64 K K)))))
(.f64 (fma.f64 -1/4 (.f64 K K) 2) 1)
(.f64 1 (fma.f64 -1/4 (.f64 K K) 2))
(.f64 (cbrt.f64 (fma.f64 -1/4 (.f64 K K) 2)) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 K K) 2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (.f64 K K) 2)) 2) (cbrt.f64 (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 (sqrt.f64 (fma.f64 -1/4 (.f64 K K) 2)) (sqrt.f64 (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 (fma.f64 (pow.f64 K 6) -1/64 8) (/.f64 1 (fma.f64 (.f64 -1/4 (.f64 K K)) (fma.f64 -1/4 (.f64 K K) -2) 4)))
(.f64 (-.f64 4 (.f64 (pow.f64 K 4) 1/16)) (/.f64 1 (+.f64 2 (.f64 1/4 (.f64 K K)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 -1/4 (.f64 K K)) (fma.f64 -1/4 (*.f64 K K) -2) 4) (fma.f64 (pow.f64 K 6) -1/64 8)))
(/.f64 1 (/.f64 (+.f64 2 (.f64 1/4 (.f64 K K))) (-.f64 4 (*.f64 (pow.f64 K 4) 1/16))))
(/.f64 (fma.f64 (pow.f64 K 6) -1/64 8) (fma.f64 (.f64 -1/4 (.f64 K K)) (fma.f64 -1/4 (*.f64 K K) -2) 4))
(/.f64 (fma.f64 (pow.f64 K 6) -1/64 8) (fma.f64 (pow.f64 K 4) 1/16 (-.f64 4 (.f64 -1/2 (.f64 K K)))))
(/.f64 (-.f64 4 (.f64 (pow.f64 K 4) 1/16)) (+.f64 2 (.f64 1/4 (*.f64 K K))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 K 6) -1/64 8)) (neg.f64 (fma.f64 (.f64 -1/4 (.f64 K K)) (fma.f64 -1/4 (*.f64 K K) -2) 4)))
(/.f64 (neg.f64 (-.f64 4 (.f64 (pow.f64 K 4) 1/16))) (neg.f64 (+.f64 2 (.f64 1/4 (*.f64 K K)))))
(/.f64 (fma.f64 (pow.f64 K 4) 1/16 -4) (fma.f64 -1/4 (*.f64 K K) -2))
(pow.f64 (fma.f64 -1/4 (*.f64 K K) 2) 1)
(pow.f64 (pow.f64 (fma.f64 -1/4 (*.f64 K K) 2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/4 (*.f64 K K) 2) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 K K) 2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/4 (*.f64 K K) 2)) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 -1/4 (.f64 K K)) (fma.f64 -1/4 (*.f64 K K) -2) 4) (fma.f64 (pow.f64 K 6) -1/64 8)) -1)
(pow.f64 (/.f64 (+.f64 2 (.f64 1/4 (.f64 K K))) (-.f64 4 (*.f64 (pow.f64 K 4) 1/16))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/4 (*.f64 K K) 2) 2))
(log.f64 (exp.f64 (fma.f64 -1/4 (*.f64 K K) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 (*.f64 K K) 2))))
(cbrt.f64 (pow.f64 (fma.f64 -1/4 (*.f64 K K) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/4 (*.f64 K K) 2)))
(log1p.f64 (expm1.f64 (fma.f64 -1/4 (*.f64 K K) 2)))
(exp.f64 (log.f64 (fma.f64 -1/4 (*.f64 K K) 2)))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/4 (.f64 K K) 2)) 1))
(fma.f64 -1/4 (*.f64 K K) 2)
(fma.f64 K (*.f64 -1/4 K) 2)
(fma.f64 (*.f64 K K) -1/4 2)
(fma.f64 (.f64 -1/4 (.f64 K K)) 1 2)
(fma.f64 1 (.f64 -1/4 (.f64 K K)) 2)
(fma.f64 (.f64 (cbrt.f64 K) K) (.f64 (pow.f64 (cbrt.f64 K) 2) -1/4) 2)
(fma.f64 (cbrt.f64 (.f64 -1/4 (.f64 K K))) (cbrt.f64 (*.f64 (pow.f64 K 4) 1/16)) 2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 K 4) 1/16)) (cbrt.f64 (.f64 -1/4 (*.f64 K K))) 2)
(fma.f64 (.f64 K (sqrt.f64 -1/4)) (.f64 K (sqrt.f64 -1/4)) 2)
(fma.f64 (*.f64 -1/4 K) K 2)
(fma.f64 (.f64 -1/4 (.f64 (cbrt.f64 K) K)) (pow.f64 (cbrt.f64 K) 2) 2)
(fma.f64 (.f64 (.f64 -1/4 K) 1) K 2)
(fma.f64 (.f64 (.f64 -1/4 K) (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K) 2)
(fma.f64 (.f64 (.f64 -1/4 K) (sqrt.f64 K)) (sqrt.f64 K) 2)

Outputs
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 (.f64 l J) (fma.f64 -1/4 (*.f64 K K) 2))
(.f64 J (.f64 l (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 (.f64 l J) (fma.f64 -1/4 (*.f64 K K) 2))
(.f64 J (.f64 l (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 (.f64 l J) (fma.f64 -1/4 (*.f64 K K) 2))
(.f64 J (.f64 l (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 (.f64 l J) (fma.f64 -1/4 (*.f64 K K) 2))
(.f64 J (.f64 l (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 (.f64 l J) (fma.f64 -1/4 (*.f64 K K) 2))
(.f64 J (.f64 l (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 (.f64 l J) (fma.f64 -1/4 (*.f64 K K) 2))
(.f64 J (.f64 l (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 (.f64 l J) (fma.f64 -1/4 (*.f64 K K) 2))
(.f64 J (.f64 l (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 (.f64 l J) (fma.f64 -1/4 (*.f64 K K) 2))
(.f64 J (.f64 l (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 (.f64 l J) (fma.f64 -1/4 (*.f64 K K) 2))
(.f64 J (.f64 l (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 (.f64 l J) (fma.f64 -1/4 (*.f64 K K) 2))
(.f64 J (.f64 l (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 (.f64 l J) (fma.f64 -1/4 (*.f64 K K) 2))
(.f64 J (.f64 l (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 (.f64 l J) (fma.f64 -1/4 (*.f64 K K) 2))
(.f64 J (.f64 l (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 (.f64 l J) (fma.f64 -1/4 (*.f64 K K) 2))
(.f64 J (.f64 l (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 (.f64 l J) (fma.f64 -1/4 (*.f64 K K) 2))
(.f64 J (.f64 l (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 l (.f64 (+.f64 (*.f64 -1/4 (pow.f64 K 2)) 2) J))
(.f64 l (.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))
(.f64 (.f64 l J) (fma.f64 -1/4 (*.f64 K K) 2))
(.f64 J (.f64 l (fma.f64 -1/4 (*.f64 K K) 2)))
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(fma.f64 -1/4 (*.f64 K K) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 -1/4 (.f64 K K)) (fma.f64 -1/4 (*.f64 K K) -2) 4) (fma.f64 (pow.f64 K 6) -1/64 8)) -1)
(.f64 (fma.f64 (pow.f64 K 6) -1/64 8) (/.f64 1 (fma.f64 (.f64 (.f64 -1/4 K) K) (fma.f64 -1/4 (.f64 K K) -2) 4)))
(/.f64 (fma.f64 (pow.f64 K 6) -1/64 8) (fma.f64 (.f64 K (.f64 -1/4 K)) (fma.f64 -1/4 (*.f64 K K) -2) 4))
(/.f64 (fma.f64 (pow.f64 K 6) -1/64 8) (fma.f64 -1/4 (.f64 (.f64 K K) (fma.f64 -1/4 (*.f64 K K) -2)) 4))
(pow.f64 (/.f64 (+.f64 2 (.f64 1/4 (.f64 K K))) (-.f64 4 (*.f64 (pow.f64 K 4) 1/16))) -1)
(/.f64 (-.f64 4 (.f64 (pow.f64 K 4) 1/16)) (+.f64 2 (.f64 (*.f64 K K) 1/4)))
(/.f64 (+.f64 4 (.f64 (pow.f64 K 4) -1/16)) (fma.f64 (.f64 K K) 1/4 2))
(/.f64 (fma.f64 (pow.f64 K 4) -1/16 4) (fma.f64 K (*.f64 K 1/4) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/4 (*.f64 K K) 2) 2))
(fma.f64 -1/4 (*.f64 K K) 2)
(log.f64 (exp.f64 (fma.f64 -1/4 (*.f64 K K) 2)))
(fma.f64 -1/4 (*.f64 K K) 2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 (*.f64 K K) 2))))
(fma.f64 -1/4 (*.f64 K K) 2)
(cbrt.f64 (pow.f64 (fma.f64 -1/4 (*.f64 K K) 2) 3))
(fma.f64 -1/4 (*.f64 K K) 2)
(expm1.f64 (log1p.f64 (fma.f64 -1/4 (*.f64 K K) 2)))
(fma.f64 -1/4 (*.f64 K K) 2)
(log1p.f64 (expm1.f64 (fma.f64 -1/4 (*.f64 K K) 2)))
(fma.f64 -1/4 (*.f64 K K) 2)
(exp.f64 (log.f64 (fma.f64 -1/4 (*.f64 K K) 2)))
(fma.f64 -1/4 (*.f64 K K) 2)
(exp.f64 (.f64 (log.f64 (fma.f64 -1/4 (.f64 K K) 2)) 1))
(fma.f64 -1/4 (*.f64 K K) 2)
(fma.f64 -1/4 (*.f64 K K) 2)
(fma.f64 K (*.f64 -1/4 K) 2)
(fma.f64 -1/4 (*.f64 K K) 2)
(fma.f64 (*.f64 K K) -1/4 2)
(fma.f64 -1/4 (*.f64 K K) 2)
(fma.f64 (.f64 -1/4 (.f64 K K)) 1 2)
(fma.f64 -1/4 (*.f64 K K) 2)
(fma.f64 1 (.f64 -1/4 (.f64 K K)) 2)
(fma.f64 -1/4 (*.f64 K K) 2)
(fma.f64 (.f64 (cbrt.f64 K) K) (.f64 (pow.f64 (cbrt.f64 K) 2) -1/4) 2)
(fma.f64 -1/4 (*.f64 K K) 2)
(fma.f64 (cbrt.f64 (.f64 -1/4 (.f64 K K))) (cbrt.f64 (*.f64 (pow.f64 K 4) 1/16)) 2)
(fma.f64 (cbrt.f64 (.f64 (.f64 -1/4 K) K)) (cbrt.f64 (*.f64 (pow.f64 K 4) 1/16)) 2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 K 4) 1/16)) (cbrt.f64 (.f64 K (*.f64 -1/4 K))) 2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 K 4) 1/16)) (cbrt.f64 (.f64 -1/4 (*.f64 K K))) 2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 K 4) 1/16)) (cbrt.f64 (.f64 -1/4 (*.f64 K K))) 2)
(fma.f64 (cbrt.f64 (.f64 (.f64 -1/4 K) K)) (cbrt.f64 (*.f64 (pow.f64 K 4) 1/16)) 2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 K 4) 1/16)) (cbrt.f64 (.f64 K (*.f64 -1/4 K))) 2)
(fma.f64 (.f64 K (sqrt.f64 -1/4)) (.f64 K (sqrt.f64 -1/4)) 2)
(fma.f64 -1/4 (*.f64 K K) 2)
(fma.f64 (*.f64 -1/4 K) K 2)
(fma.f64 -1/4 (*.f64 K K) 2)
(fma.f64 (.f64 -1/4 (.f64 (cbrt.f64 K) K)) (pow.f64 (cbrt.f64 K) 2) 2)
(fma.f64 -1/4 (*.f64 K K) 2)
(fma.f64 (.f64 (.f64 -1/4 K) 1) K 2)
(fma.f64 -1/4 (*.f64 K K) 2)
(fma.f64 (.f64 (.f64 -1/4 K) (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K) 2)
(fma.f64 -1/4 (*.f64 K K) 2)
(fma.f64 (.f64 (.f64 -1/4 K) (sqrt.f64 K)) (sqrt.f64 K) 2)
(fma.f64 -1/4 (*.f64 K K) 2)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (cbrt.f64 (+.f64 l l)) U)
✓	0.6b	(cbrt.f64 (+.f64 l l))

Compiler

Compiled 19 to 7 computations (63.2% saved)

series5.0ms (0%)

Counts

2 → 15

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	U	@	0	(+.f64 (cbrt.f64 (+.f64 l l)) U)
1.0ms	l	@	-inf	(cbrt.f64 (+.f64 l l))
1.0ms	l	@	inf	(cbrt.f64 (+.f64 l l))
0.0ms	l	@	0	(cbrt.f64 (+.f64 l l))
0.0ms	l	@	0	(+.f64 (cbrt.f64 (+.f64 l l)) U)

rewrite45.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

665×	`pow1_binary64`
627×	`add-log-exp_binary64`
626×	`log1p-expm1-u_binary64`
626×	`expm1-log1p-u_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	135	11
2	2101	11

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

Inputs
(cbrt.f64 (+.f64 l l))
(+.f64 (cbrt.f64 (+.f64 l l)) U)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 l l)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (+.f64 l l)) (*.f64 l (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 l l) l) (*.f64 (+.f64 l l) l))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 l l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 l l) 0) (/.f64 (*.f64 l l) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 l) (+.f64 (pow.f64 (cbrt.f64 l) 2) (pow.f64 (cbrt.f64 l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (+.f64 (cbrt.f64 l) (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (+.f64 (sqrt.f64 l) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 l 3)) (/.f64 1 (fma.f64 l l 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (/.f64 1 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 l (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/3) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 l l) 3/2) (pow.f64 (+.f64 l l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 l l) 2) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 l l 0) (*.f64 2 (pow.f64 l 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 l 3)) (fma.f64 l l 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 l 3)) (*.f64 2 (pow.f64 l 3))) (*.f64 (fma.f64 l l 0) (fma.f64 l l 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 2 (pow.f64 l 3))) (cbrt.f64 (fma.f64 l l 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (pow.f64 l 3))) (sqrt.f64 (fma.f64 l l 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 0) (sqrt.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (pow.f64 l 3))) (neg.f64 (fma.f64 l l 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (*.f64 2 (pow.f64 l 3))) (*.f64 0 (fma.f64 l l 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 l 3)) 0) (*.f64 (fma.f64 l l 0) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 l 3)) (+.f64 l l)) (fma.f64 l l 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (+.f64 l l)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 l l) (*.f64 2 (pow.f64 l 3))) (fma.f64 l l 0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 l l) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) l))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 l) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 l l)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 l) 2) (cbrt.f64 l) l)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 l) (sqrt.f64 l) l)))))

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

25×	`*-commutative_binary64`
18×	`sqr-pow_binary64`
9×	`associate-/l*_binary64`
9×	`sub-neg_binary64`
9×	`fma-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	317
1	605	317

Stop Event

1×

unsound

Counts

103 → 105

Calls

Call 1

Inputs
U
U
U
(.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2))
(+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2)) U)
(+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2)) U)
(+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2)) U)
U
(+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2)) U)
(+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2)) U)
(+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2)) U)
U
(+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2)) U)
(+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2)) U)
(+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2)) U)
(+.f64 l l)
(+.f64 (.f64 l (+.f64 l l)) (.f64 l (+.f64 l l)))
(+.f64 (.f64 (+.f64 l l) l) (.f64 (+.f64 l l) l))
(-.f64 (+.f64 1 (+.f64 l l)) 1)
(-.f64 (/.f64 (.f64 l l) 0) (/.f64 (.f64 l l) 0))
(*.f64 l 2)
(*.f64 (+.f64 l l) (+.f64 l l))
(*.f64 (+.f64 l l) 1)
(*.f64 1 (+.f64 l l))
(*.f64 (cbrt.f64 l) (+.f64 (pow.f64 (cbrt.f64 l) 2) (pow.f64 (cbrt.f64 l) 2)))
(*.f64 (pow.f64 (cbrt.f64 l) 2) (+.f64 (cbrt.f64 l) (cbrt.f64 l)))
(*.f64 (sqrt.f64 l) (+.f64 (sqrt.f64 l) (sqrt.f64 l)))
(.f64 (.f64 2 (pow.f64 l 3)) (/.f64 1 (fma.f64 l l 0)))
(*.f64 0 (/.f64 1 0))
(*.f64 2 l)
(.f64 2 (.f64 l (+.f64 l l)))
(.f64 4 (.f64 l l))
(*.f64 (cbrt.f64 2) (cbrt.f64 l))
(*.f64 (sqrt.f64 2) (sqrt.f64 l))
(*.f64 (pow.f64 1 1/3) (+.f64 l l))
(*.f64 (pow.f64 2 1/3) (cbrt.f64 l))
(*.f64 (pow.f64 (+.f64 l l) 3/2) (pow.f64 (+.f64 l l) 3/2))
(.f64 (.f64 (+.f64 l l) 2) l)
(.f64 (.f64 2 (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
(.f64 (.f64 2 (sqrt.f64 l)) (sqrt.f64 l))
(/.f64 1 (+.f64 l l))
(/.f64 1 (/.f64 (fma.f64 l l 0) (*.f64 2 (pow.f64 l 3))))
(/.f64 (*.f64 2 (pow.f64 l 3)) (fma.f64 l l 0))
(/.f64 0 0)
(/.f64 (.f64 (.f64 2 (pow.f64 l 3)) (.f64 2 (pow.f64 l 3))) (.f64 (fma.f64 l l 0) (fma.f64 l l 0)))
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 l 3))) (cbrt.f64 (fma.f64 l l 0)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 l 3))) (sqrt.f64 (fma.f64 l l 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 l 3))) (neg.f64 (fma.f64 l l 0)))
(/.f64 (.f64 0 (.f64 2 (pow.f64 l 3))) (*.f64 0 (fma.f64 l l 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 l 3)) 0) (*.f64 (fma.f64 l l 0) 0))
(/.f64 (.f64 (.f64 2 (pow.f64 l 3)) (+.f64 l l)) (fma.f64 l l 0))
(/.f64 (*.f64 0 (+.f64 l l)) 0)
(/.f64 (.f64 (+.f64 l l) (.f64 2 (pow.f64 l 3))) (fma.f64 l l 0))
(pow.f64 (+.f64 l l) 1)
(pow.f64 (+.f64 l l) 1/3)
(pow.f64 (+.f64 l l) 3)
(pow.f64 (+.f64 l l) 2)
(pow.f64 (+.f64 l l) 1/2)
(pow.f64 (+.f64 l l) 2/3)
(pow.f64 (+.f64 l l) 1/6)
(sqrt.f64 (+.f64 l l))
(fabs.f64 (+.f64 l l))
(log.f64 (pow.f64 (exp.f64 2) l))
(hypot.f64 (sqrt.f64 l) (sqrt.f64 l))
(expm1.f64 (log1p.f64 (+.f64 l l)))
(log1p.f64 (expm1.f64 (+.f64 l l)))
(exp.f64 (log.f64 (+.f64 l l)))
(fma.f64 1 l l)
(fma.f64 (pow.f64 (cbrt.f64 l) 2) (cbrt.f64 l) l)
(fma.f64 (sqrt.f64 l) (sqrt.f64 l) l)
(-.f64 (+.f64 1 (+.f64 (+.f64 l l) U)) 1)
(-.f64 (/.f64 (+.f64 l l) (-.f64 (+.f64 l l) U)) (/.f64 (*.f64 U U) (-.f64 (+.f64 l l) U)))
(*.f64 (+.f64 (+.f64 l l) U) 1)
(*.f64 1 (+.f64 (+.f64 l l) U))
(*.f64 (cbrt.f64 (+.f64 (+.f64 l l) U)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 l l) U)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 l l) U)) 2) (cbrt.f64 (+.f64 (+.f64 l l) U)))
(*.f64 (sqrt.f64 (+.f64 (+.f64 l l) U)) (sqrt.f64 (+.f64 (+.f64 l l) U)))
(.f64 (+.f64 (+.f64 l l) (pow.f64 U 3)) (/.f64 1 (+.f64 (+.f64 l l) (.f64 U (-.f64 U (+.f64 l l))))))
(.f64 (-.f64 (+.f64 l l) (.f64 U U)) (/.f64 1 (-.f64 (+.f64 l l) U)))
(/.f64 1 (/.f64 (+.f64 (+.f64 l l) (*.f64 U (-.f64 U (+.f64 l l)))) (+.f64 (+.f64 l l) (pow.f64 U 3))))
(/.f64 1 (/.f64 (-.f64 (+.f64 l l) U) (-.f64 (+.f64 l l) (*.f64 U U))))
(/.f64 (+.f64 (+.f64 l l) (pow.f64 U 3)) (+.f64 (+.f64 l l) (*.f64 U (-.f64 U (+.f64 l l)))))
(/.f64 (+.f64 (+.f64 l l) (pow.f64 U 3)) (+.f64 (.f64 U U) (-.f64 (+.f64 l l) (.f64 (+.f64 l l) U))))
(/.f64 (-.f64 (+.f64 l l) (*.f64 U U)) (-.f64 (+.f64 l l) U))
(/.f64 (neg.f64 (+.f64 (+.f64 l l) (pow.f64 U 3))) (neg.f64 (+.f64 (+.f64 l l) (*.f64 U (-.f64 U (+.f64 l l))))))
(/.f64 (neg.f64 (-.f64 (+.f64 l l) (*.f64 U U))) (neg.f64 (-.f64 (+.f64 l l) U)))
(/.f64 (-.f64 (*.f64 U U) (+.f64 l l)) (-.f64 U (+.f64 l l)))
(pow.f64 (+.f64 (+.f64 l l) U) 1)
(pow.f64 (pow.f64 (+.f64 (+.f64 l l) U) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 l l) U)) 3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 l l) U)) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 l l) U) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 l l) U)))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 l l) U) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 l l) U)))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 l l) U)))
(exp.f64 (log.f64 (+.f64 (+.f64 l l) U)))
(fma.f64 (+.f64 l l) (+.f64 l l) U)
(fma.f64 1 (+.f64 l l) U)
(fma.f64 1 U (+.f64 l l))
(fma.f64 (pow.f64 (cbrt.f64 U) 2) (cbrt.f64 U) (+.f64 l l))
(fma.f64 (sqrt.f64 U) (sqrt.f64 U) (+.f64 l l))

Outputs
U
U
U
(.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) -1)
(+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2)) U)
(fma.f64 -1 (cbrt.f64 2) U)
(+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2)) U)
(fma.f64 -1 (cbrt.f64 2) U)
(+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2)) U)
(fma.f64 -1 (cbrt.f64 2) U)
U
(+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2)) U)
(fma.f64 -1 (cbrt.f64 2) U)
(+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2)) U)
(fma.f64 -1 (cbrt.f64 2) U)
(+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2)) U)
(fma.f64 -1 (cbrt.f64 2) U)
U
(+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2)) U)
(fma.f64 -1 (cbrt.f64 2) U)
(+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2)) U)
(fma.f64 -1 (cbrt.f64 2) U)
(+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (cbrt.f64 2)) U)
(fma.f64 -1 (cbrt.f64 2) U)
(+.f64 l l)
-1
(+.f64 (.f64 l (+.f64 l l)) (.f64 l (+.f64 l l)))
-1
(+.f64 (.f64 (+.f64 l l) l) (.f64 (+.f64 l l) l))
-1
(-.f64 (+.f64 1 (+.f64 l l)) 1)
-1
(-.f64 (/.f64 (.f64 l l) 0) (/.f64 (.f64 l l) 0))
-1
(*.f64 l 2)
-1
(*.f64 (+.f64 l l) (+.f64 l l))
-1
(*.f64 (+.f64 l l) 1)
-1
(*.f64 1 (+.f64 l l))
-1
(*.f64 (cbrt.f64 l) (+.f64 (pow.f64 (cbrt.f64 l) 2) (pow.f64 (cbrt.f64 l) 2)))
-1
(*.f64 (pow.f64 (cbrt.f64 l) 2) (+.f64 (cbrt.f64 l) (cbrt.f64 l)))
-1
(*.f64 (sqrt.f64 l) (+.f64 (sqrt.f64 l) (sqrt.f64 l)))
-1
(.f64 (.f64 2 (pow.f64 l 3)) (/.f64 1 (fma.f64 l l 0)))
-1
(*.f64 0 (/.f64 1 0))
-1
(*.f64 2 l)
-1
(.f64 2 (.f64 l (+.f64 l l)))
-1
(.f64 4 (.f64 l l))
-1
(*.f64 (cbrt.f64 2) (cbrt.f64 l))
(*.f64 (cbrt.f64 2) -1)
(*.f64 (sqrt.f64 2) (sqrt.f64 l))
(*.f64 -1 (sqrt.f64 2))
(*.f64 (pow.f64 1 1/3) (+.f64 l l))
-1
(*.f64 (pow.f64 2 1/3) (cbrt.f64 l))
(*.f64 (cbrt.f64 2) -1)
(*.f64 (pow.f64 (+.f64 l l) 3/2) (pow.f64 (+.f64 l l) 3/2))
-1
(.f64 (.f64 (+.f64 l l) 2) l)
-1
(.f64 (.f64 2 (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
-1
(.f64 (.f64 2 (sqrt.f64 l)) (sqrt.f64 l))
-1
(/.f64 1 (+.f64 l l))
-1
(/.f64 1 (/.f64 (fma.f64 l l 0) (*.f64 2 (pow.f64 l 3))))
-1
(/.f64 (*.f64 2 (pow.f64 l 3)) (fma.f64 l l 0))
-1
(/.f64 0 0)
-1
(/.f64 (.f64 (.f64 2 (pow.f64 l 3)) (.f64 2 (pow.f64 l 3))) (.f64 (fma.f64 l l 0) (fma.f64 l l 0)))
-1
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 l 3))) (cbrt.f64 (fma.f64 l l 0)))
-1
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 l 3))) (sqrt.f64 (fma.f64 l l 0)))
-1
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
-1
(/.f64 (neg.f64 (*.f64 2 (pow.f64 l 3))) (neg.f64 (fma.f64 l l 0)))
-1
(/.f64 (.f64 0 (.f64 2 (pow.f64 l 3))) (*.f64 0 (fma.f64 l l 0)))
-1
(/.f64 (.f64 (.f64 2 (pow.f64 l 3)) 0) (*.f64 (fma.f64 l l 0) 0))
-1
(/.f64 (.f64 (.f64 2 (pow.f64 l 3)) (+.f64 l l)) (fma.f64 l l 0))
-1
(/.f64 (*.f64 0 (+.f64 l l)) 0)
-1
(/.f64 (.f64 (+.f64 l l) (.f64 2 (pow.f64 l 3))) (fma.f64 l l 0))
-1
(pow.f64 (+.f64 l l) 1)
-1
(pow.f64 (+.f64 l l) 1/3)
-1
(pow.f64 (+.f64 l l) 3)
-1
(pow.f64 (+.f64 l l) 2)
-1
(pow.f64 (+.f64 l l) 1/2)
-1
(pow.f64 (+.f64 l l) 2/3)
-1
(pow.f64 (+.f64 l l) 1/6)
-1
(sqrt.f64 (+.f64 l l))
-1
(fabs.f64 (+.f64 l l))
-1
(log.f64 (pow.f64 (exp.f64 2) l))
-1
(hypot.f64 (sqrt.f64 l) (sqrt.f64 l))
(hypot.f64 -1 -1)
(expm1.f64 (log1p.f64 (+.f64 l l)))
-1
(log1p.f64 (expm1.f64 (+.f64 l l)))
-1
(exp.f64 (log.f64 (+.f64 l l)))
-1
(fma.f64 1 l l)
-1
(fma.f64 (pow.f64 (cbrt.f64 l) 2) (cbrt.f64 l) l)
-1
(fma.f64 (sqrt.f64 l) (sqrt.f64 l) l)
-1
(-.f64 (+.f64 1 (+.f64 (+.f64 l l) U)) 1)
-1
(-.f64 (/.f64 (+.f64 l l) (-.f64 (+.f64 l l) U)) (/.f64 (*.f64 U U) (-.f64 (+.f64 l l) U)))
(/.f64 (-.f64 -1 (*.f64 U U)) (-.f64 -1 U))
(*.f64 (+.f64 (+.f64 l l) U) 1)
-1
(*.f64 1 (+.f64 (+.f64 l l) U))
-1
(*.f64 (cbrt.f64 (+.f64 (+.f64 l l) U)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 l l) U)) 2))
-1
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 l l) U)) 2) (cbrt.f64 (+.f64 (+.f64 l l) U)))
-1
(*.f64 (sqrt.f64 (+.f64 (+.f64 l l) U)) (sqrt.f64 (+.f64 (+.f64 l l) U)))
-1
(.f64 (+.f64 (+.f64 l l) (pow.f64 U 3)) (/.f64 1 (+.f64 (+.f64 l l) (.f64 U (-.f64 U (+.f64 l l))))))
(+.f64 -1 (neg.f64 (pow.f64 U 3)))
(.f64 (-.f64 (+.f64 l l) (.f64 U U)) (/.f64 1 (-.f64 (+.f64 l l) U)))
(.f64 (-.f64 -1 (.f64 U U)) (/.f64 -1 (-.f64 -1 U)))
(/.f64 1 (/.f64 (+.f64 (+.f64 l l) (*.f64 U (-.f64 U (+.f64 l l)))) (+.f64 (+.f64 l l) (pow.f64 U 3))))
(+.f64 -1 (neg.f64 (pow.f64 U 3)))
(/.f64 1 (/.f64 (-.f64 (+.f64 l l) U) (-.f64 (+.f64 l l) (*.f64 U U))))
(.f64 (-.f64 -1 (.f64 U U)) (/.f64 -1 (-.f64 -1 U)))
(/.f64 (+.f64 (+.f64 l l) (pow.f64 U 3)) (+.f64 (+.f64 l l) (*.f64 U (-.f64 U (+.f64 l l)))))
(/.f64 (+.f64 -1 (pow.f64 U 3)) -1)
(/.f64 (+.f64 (+.f64 l l) (pow.f64 U 3)) (+.f64 (.f64 U U) (-.f64 (+.f64 l l) (.f64 (+.f64 l l) U))))
(/.f64 (+.f64 -1 (pow.f64 U 3)) (fma.f64 U U -1))
(/.f64 (-.f64 (+.f64 l l) (*.f64 U U)) (-.f64 (+.f64 l l) U))
(/.f64 (-.f64 -1 (*.f64 U U)) (-.f64 -1 U))
(/.f64 (neg.f64 (+.f64 (+.f64 l l) (pow.f64 U 3))) (neg.f64 (+.f64 (+.f64 l l) (*.f64 U (-.f64 U (+.f64 l l))))))
(+.f64 -1 (neg.f64 (pow.f64 U 3)))
(/.f64 (neg.f64 (-.f64 (+.f64 l l) (*.f64 U U))) (neg.f64 (-.f64 (+.f64 l l) U)))
(/.f64 (neg.f64 (-.f64 -1 (*.f64 U U))) (neg.f64 (-.f64 -1 U)))
(/.f64 (-.f64 (*.f64 U U) (+.f64 l l)) (-.f64 U (+.f64 l l)))
(/.f64 (fma.f64 U U -1) -1)
(pow.f64 (+.f64 (+.f64 l l) U) 1)
-1
(pow.f64 (pow.f64 (+.f64 (+.f64 l l) U) 3) 1/3)
-1
(pow.f64 (cbrt.f64 (+.f64 (+.f64 l l) U)) 3)
-1
(pow.f64 (sqrt.f64 (+.f64 (+.f64 l l) U)) 2)
-1
(sqrt.f64 (pow.f64 (+.f64 (+.f64 l l) U) 2))
-1
(log.f64 (exp.f64 (+.f64 (+.f64 l l) U)))
-1
(cbrt.f64 (pow.f64 (+.f64 (+.f64 l l) U) 3))
-1
(expm1.f64 (log1p.f64 (+.f64 (+.f64 l l) U)))
-1
(log1p.f64 (expm1.f64 (+.f64 (+.f64 l l) U)))
-1
(exp.f64 (log.f64 (+.f64 (+.f64 l l) U)))
-1
(fma.f64 (+.f64 l l) (+.f64 l l) U)
-1
(fma.f64 1 (+.f64 l l) U)
-1
(fma.f64 1 U (+.f64 l l))
-1
(fma.f64 (pow.f64 (cbrt.f64 U) 2) (cbrt.f64 U) (+.f64 l l))
(fma.f64 -1 (cbrt.f64 U) -1)
(fma.f64 (sqrt.f64 U) (sqrt.f64 U) (+.f64 l l))
(fma.f64 (sqrt.f64 U) (sqrt.f64 U) -1)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
✓	0.0b	(.f64 (.f64 2 (sinh.f64 l)) J)
	0.0b	(sinh.f64 l)

Compiler

Compiled 28 to 15 computations (46.4% saved)

series6.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	l	@	inf	(.f64 (.f64 2 (sinh.f64 l)) J)
1.0ms	J	@	inf	(.f64 (.f64 2 (sinh.f64 l)) J)
1.0ms	l	@	-inf	(.f64 (.f64 2 (sinh.f64 l)) J)
1.0ms	U	@	0	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
0.0ms	J	@	-inf	(.f64 (.f64 2 (sinh.f64 l)) J)

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

484×	`log-prod_binary64`
359×	`exp-prod_binary64`
351×	`prod-exp_binary64`
309×	`pow-prod-down_binary64`
289×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	195	19
2	2576	19

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

Inputs
(.f64 (.f64 2 (sinh.f64 l)) J)
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sinh.f64 l) J) (*.f64 (sinh.f64 l) J))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (*.f64 (sinh.f64 l) J)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (sinh.f64 l) J))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (sinh.f64 l) J)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 l) J))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 l) J))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 (*.f64 (sinh.f64 l) J) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 2 (*.f64 (sinh.f64 l) J))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)))) 2)) (cbrt.f64 (log.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 2 (*.f64 (sinh.f64 l) J))))) (sqrt.f64 (log.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (*.f64 (sinh.f64 l) J)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8 (pow.f64 (*.f64 (sinh.f64 l) J) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (*.f64 (sinh.f64 l) J))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (*.f64 (sinh.f64 l) J))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (*.f64 (sinh.f64 l) J))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (sinh.f64 l) J))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8 (pow.f64 (*.f64 (sinh.f64 l) J) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (sinh.f64 l) J))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (sinh.f64 l) J))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 2 (sinh.f64 l))) 1) (log.f64 J)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 2 (sinh.f64 l))) (*.f64 (log.f64 J) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 2 (sinh.f64 l))) 1) (*.f64 (log.f64 J) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 J) 1) (log.f64 (*.f64 2 (sinh.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 J) (*.f64 (log.f64 (*.f64 2 (sinh.f64 l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 J) 1) (*.f64 (log.f64 (*.f64 2 (sinh.f64 l))) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)) 2) (-.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)) U)) (/.f64 (*.f64 U U) (-.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)) U)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sinh.f64 l) (*.f64 2 J) U))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)) (pow.f64 (cbrt.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)) 2) (cbrt.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)) (sqrt.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 U (-.f64 U (*.f64 2 (*.f64 (sinh.f64 l) J))) (pow.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)) 2)) (fma.f64 8 (pow.f64 (*.f64 (sinh.f64 l) J) 3) (pow.f64 U 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)) U) (-.f64 (pow.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)) 2) (*.f64 U U))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 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J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (sinh.f64 l))) (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 l))) J) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 J) (*.f64 (sqrt.f64 J) (*.f64 2 (sinh.f64 l))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 l) J))) (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 l) J))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sinh.f64 l) J) 2 U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (sinh.f64 l)) (pow.f64 (cbrt.f64 J) 2)) (cbrt.f64 J) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (sinh.f64 l)) (sqrt.f64 J)) (sqrt.f64 J) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 J 2) (sinh.f64 l) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 J (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 J (sqrt.f64 (*.f64 2 (sinh.f64 l)))) (sqrt.f64 (*.f64 2 (sinh.f64 l))) U)))))

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-def_binary64`
458×	`times-frac_binary64`
395×	`distribute-rgt-in_binary64`
366×	`distribute-lft-in_binary64`
301×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	2344
1	678	2306
2	1982	2265

Stop Event

1×	node limit

Counts

160 → 157

Calls

Call 1

Inputs
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J)))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
U
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) U))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) J)) U)))
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
U
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(*.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 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
U
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
U
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
(+.f64 (.f64 (sinh.f64 l) J) (.f64 (sinh.f64 l) J))
(+.f64 0 (.f64 2 (.f64 (sinh.f64 l) J)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (.f64 (sinh.f64 l) J))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (.f64 (sinh.f64 l) J)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (sinh.f64 l) J)))) 1)
(pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 1)
(pow.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 2) 1/2)
(pow.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) J))) 3)
(pow.f64 (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) J))) 2)
(pow.f64 (.f64 8 (pow.f64 (.f64 (sinh.f64 l) J) 3)) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (.f64 2 (.f64 (sinh.f64 l) J))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 l) J)))) 2)) (cbrt.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 l) J)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 l) J))))) (sqrt.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 l) J)))))
(sqrt.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 2))
(log.f64 (pow.f64 (exp.f64 2) (*.f64 (sinh.f64 l) J)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 (sinh.f64 l) J)))))
(cbrt.f64 (.f64 8 (pow.f64 (.f64 (sinh.f64 l) J) 3)))
(expm1.f64 (log1p.f64 (.f64 2 (.f64 (sinh.f64 l) J))))
(log1p.f64 (expm1.f64 (.f64 2 (.f64 (sinh.f64 l) J))))
(exp.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 l) J))))
(exp.f64 (.f64 (log.f64 (.f64 2 (*.f64 (sinh.f64 l) J))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (*.f64 (sinh.f64 l) J)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (*.f64 (sinh.f64 l) J)))) 2))
(exp.f64 (.f64 (log.f64 (.f64 8 (pow.f64 (*.f64 (sinh.f64 l) J) 3))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 l) J))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 l) J))) 3) 1/3))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 l))) 1) (log.f64 J)))
(exp.f64 (+.f64 (log.f64 (.f64 2 (sinh.f64 l))) (.f64 (log.f64 J) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 l))) 1) (*.f64 (log.f64 J) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 J) 1) (log.f64 (.f64 2 (sinh.f64 l)))))
(exp.f64 (+.f64 (log.f64 J) (.f64 (log.f64 (.f64 2 (sinh.f64 l))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 J) 1) (.f64 (log.f64 (*.f64 2 (sinh.f64 l))) 1)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 2) (-.f64 (.f64 2 (.f64 (sinh.f64 l) J)) U)) (/.f64 (.f64 U U) (-.f64 (.f64 2 (*.f64 (sinh.f64 l) J)) U)))
(.f64 (fma.f64 (sinh.f64 l) (.f64 2 J) U) 1)
(.f64 1 (fma.f64 (sinh.f64 l) (.f64 2 J) U))
(.f64 (cbrt.f64 (fma.f64 (sinh.f64 l) (.f64 2 J) U)) (pow.f64 (cbrt.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sinh.f64 l) (.f64 2 J) U)) 2) (cbrt.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)))
(.f64 (sqrt.f64 (fma.f64 (sinh.f64 l) (.f64 2 J) U)) (sqrt.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)))
(.f64 (fma.f64 8 (pow.f64 (.f64 (sinh.f64 l) J) 3) (pow.f64 U 3)) (/.f64 1 (fma.f64 U (-.f64 U (.f64 2 (.f64 (sinh.f64 l) J))) (pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 2))))
(.f64 (-.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 2) (.f64 U U)) (/.f64 1 (-.f64 (.f64 2 (.f64 (sinh.f64 l) J)) U)))
(/.f64 1 (/.f64 (fma.f64 U (-.f64 U (.f64 2 (.f64 (sinh.f64 l) J))) (pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 2)) (fma.f64 8 (pow.f64 (*.f64 (sinh.f64 l) J) 3) (pow.f64 U 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 2 (.f64 (sinh.f64 l) J)) U) (-.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 2) (*.f64 U U))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 (sinh.f64 l) J) 3) (pow.f64 U 3)) (fma.f64 U (-.f64 U (.f64 2 (.f64 (sinh.f64 l) J))) (pow.f64 (.f64 2 (*.f64 (sinh.f64 l) J)) 2)))
(/.f64 (fma.f64 8 (pow.f64 (.f64 (sinh.f64 l) J) 3) (pow.f64 U 3)) (fma.f64 U U (-.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 2) (.f64 (.f64 2 (sinh.f64 l)) (.f64 J U)))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 2) (.f64 U U)) (-.f64 (.f64 2 (*.f64 (sinh.f64 l) J)) U))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (.f64 (sinh.f64 l) J) 3) (pow.f64 U 3))) (neg.f64 (fma.f64 U (-.f64 U (.f64 2 (.f64 (sinh.f64 l) J))) (pow.f64 (.f64 2 (*.f64 (sinh.f64 l) J)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 2) (.f64 U U))) (neg.f64 (-.f64 (.f64 2 (*.f64 (sinh.f64 l) J)) U)))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 2)) (-.f64 U (.f64 2 (*.f64 (sinh.f64 l) J))))
(pow.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U) 1)
(pow.f64 (pow.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)))
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 2 (.f64 (sinh.f64 l) J))) (pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 2)) (fma.f64 8 (pow.f64 (*.f64 (sinh.f64 l) J) 3) (pow.f64 U 3))) -1)
(pow.f64 (/.f64 (-.f64 (.f64 2 (.f64 (sinh.f64 l) J)) U) (-.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 2) (*.f64 U U))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sinh.f64 l) (.f64 2 J) U))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sinh.f64 l) (.f64 2 J) U))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sinh.f64 l) (.f64 2 J) U)))) (sqrt.f64 (log.f64 (fma.f64 (sinh.f64 l) (.f64 2 J) U))))
(sqrt.f64 (pow.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U) 2))
(log.f64 (exp.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2 (*.f64 (sinh.f64 l) J)))) (exp.f64 U)))
(log.f64 (.f64 (pow.f64 (exp.f64 2) (.f64 (sinh.f64 l) J)) (+.f64 1 (expm1.f64 U))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2 (*.f64 (sinh.f64 l) J)))) (+.f64 1 (expm1.f64 U))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 U)) (pow.f64 (exp.f64 2) (.f64 (sinh.f64 l) J))))
(log.f64 (.f64 (exp.f64 U) (+.f64 1 (expm1.f64 (.f64 2 (*.f64 (sinh.f64 l) J))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 U)) (+.f64 1 (expm1.f64 (.f64 2 (*.f64 (sinh.f64 l) J))))))
(cbrt.f64 (pow.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)))
(log1p.f64 (expm1.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)))
(exp.f64 (log.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)))
(exp.f64 (.f64 (log.f64 (fma.f64 (sinh.f64 l) (.f64 2 J) U)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sinh.f64 l) (.f64 2 J) U))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sinh.f64 l) (.f64 2 J) U))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)) 1) 1))
(fma.f64 2 (*.f64 (sinh.f64 l) J) U)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 (*.f64 2 (sinh.f64 l)) J U)
(fma.f64 J (*.f64 2 (sinh.f64 l)) U)
(fma.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 1 U)
(fma.f64 U 1 (.f64 2 (.f64 (sinh.f64 l) J)))
(fma.f64 1 (.f64 2 (.f64 (sinh.f64 l) J)) U)
(fma.f64 1 U (.f64 2 (.f64 (sinh.f64 l) J)))
(fma.f64 (cbrt.f64 U) (pow.f64 (cbrt.f64 U) 2) (.f64 2 (.f64 (sinh.f64 l) J)))
(fma.f64 (pow.f64 (cbrt.f64 U) 2) (cbrt.f64 U) (.f64 2 (.f64 (sinh.f64 l) J)))
(fma.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2))) (.f64 (cbrt.f64 (*.f64 2 (sinh.f64 l))) J) U)
(fma.f64 (pow.f64 (cbrt.f64 J) 2) (.f64 (cbrt.f64 J) (.f64 2 (sinh.f64 l))) U)
(fma.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) J))) (cbrt.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 2)) U)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 2)) (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) J))) U)
(fma.f64 (sqrt.f64 U) (sqrt.f64 U) (.f64 2 (.f64 (sinh.f64 l) J)))
(fma.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (.f64 (sqrt.f64 (*.f64 2 (sinh.f64 l))) J) U)
(fma.f64 (sqrt.f64 J) (.f64 (sqrt.f64 J) (.f64 2 (sinh.f64 l))) U)
(fma.f64 (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) J))) (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) J))) U)
(fma.f64 (*.f64 (sinh.f64 l) J) 2 U)
(fma.f64 (.f64 (.f64 2 (sinh.f64 l)) (pow.f64 (cbrt.f64 J) 2)) (cbrt.f64 J) U)
(fma.f64 (.f64 (.f64 2 (sinh.f64 l)) (sqrt.f64 J)) (sqrt.f64 J) U)
(fma.f64 (*.f64 J 2) (sinh.f64 l) U)
(fma.f64 (.f64 J (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))) U)
(fma.f64 (.f64 J (sqrt.f64 (.f64 2 (sinh.f64 l)))) (sqrt.f64 (*.f64 2 (sinh.f64 l))) U)

Outputs
(.f64 2 (.f64 l J))
(.f64 J (.f64 2 l))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 J (pow.f64 l 3))))
(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))
(.f64 J (fma.f64 2 l (.f64 1/3 (pow.f64 l 3))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J))))
(fma.f64 2 (.f64 l J) (fma.f64 1/3 (.f64 J (pow.f64 l 3)) (.f64 1/60 (.f64 J (pow.f64 l 5)))))
(fma.f64 2 (.f64 l J) (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5)))))
(.f64 J (+.f64 (.f64 2 l) (fma.f64 1/60 (pow.f64 l 5) (*.f64 1/3 (pow.f64 l 3)))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J)))))
(fma.f64 2 (.f64 l J) (fma.f64 1/2520 (.f64 J (pow.f64 l 7)) (fma.f64 1/3 (.f64 J (pow.f64 l 3)) (.f64 1/60 (*.f64 J (pow.f64 l 5))))))
(fma.f64 2 (.f64 l J) (fma.f64 1/2520 (.f64 J (pow.f64 l 7)) (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/60 (pow.f64 l 5))))))
(.f64 J (+.f64 (fma.f64 1/60 (pow.f64 l 5) (.f64 1/3 (pow.f64 l 3))) (fma.f64 2 l (*.f64 1/2520 (pow.f64 l 7)))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
U
(+.f64 (.f64 2 (.f64 l J)) U)
(fma.f64 2 (*.f64 l J) U)
(fma.f64 (*.f64 2 l) J U)
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) U))
(fma.f64 2 (.f64 l J) (fma.f64 1/3 (.f64 J (pow.f64 l 3)) U))
(fma.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))) U)
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) J)) U)))
(fma.f64 2 (.f64 l J) (fma.f64 1/3 (.f64 J (pow.f64 l 3)) (fma.f64 1/60 (*.f64 J (pow.f64 l 5)) U)))
(fma.f64 J (fma.f64 1/60 (pow.f64 l 5) (.f64 1/3 (pow.f64 l 3))) (fma.f64 2 (.f64 l J) U))
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
U
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
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(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(pow.f64 (pow.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U) 2) 1/2)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(pow.f64 (pow.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U) 3) 1/3)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(pow.f64 (cbrt.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)) 3)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(pow.f64 (sqrt.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)) 2)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 2 (.f64 (sinh.f64 l) J))) (pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 2)) (fma.f64 8 (pow.f64 (*.f64 (sinh.f64 l) J) 3) (pow.f64 U 3))) -1)
(.f64 (fma.f64 8 (pow.f64 (.f64 J (sinh.f64 l)) 3) (pow.f64 U 3)) (/.f64 1 (fma.f64 U (+.f64 U (.f64 -2 (.f64 J (sinh.f64 l)))) (pow.f64 (.f64 2 (.f64 J (sinh.f64 l))) 2))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 J (sinh.f64 l)) 3) (pow.f64 U 3)) (fma.f64 U (+.f64 U (.f64 J (.f64 (sinh.f64 l) -2))) (pow.f64 (.f64 2 (*.f64 J (sinh.f64 l))) 2)))
(/.f64 (fma.f64 8 (pow.f64 (.f64 J (sinh.f64 l)) 3) (pow.f64 U 3)) (fma.f64 U (fma.f64 (sinh.f64 l) (.f64 J -2) U) (pow.f64 (*.f64 (sinh.f64 l) (+.f64 J J)) 2)))
(pow.f64 (/.f64 (-.f64 (.f64 2 (.f64 (sinh.f64 l) J)) U) (-.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 2) (*.f64 U U))) -1)
(/.f64 (-.f64 (pow.f64 (.f64 2 (.f64 J (sinh.f64 l))) 2) (.f64 U U)) (fma.f64 2 (.f64 J (sinh.f64 l)) (neg.f64 U)))
(/.f64 (-.f64 (pow.f64 (.f64 2 (.f64 J (sinh.f64 l))) 2) (.f64 U U)) (-.f64 (.f64 2 (*.f64 J (sinh.f64 l))) U))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (+.f64 J J)) 2)) (fma.f64 (sinh.f64 l) (*.f64 J -2) U))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sinh.f64 l) (.f64 2 J) U))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sinh.f64 l) (.f64 2 J) U))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 (.f64 J (sinh.f64 l)) U))) 2)) (cbrt.f64 (log.f64 (fma.f64 2 (.f64 J (sinh.f64 l)) U))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sinh.f64 l) (+.f64 J J) U))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sinh.f64 l) (+.f64 J J) U))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sinh.f64 l) (.f64 2 J) U)))) (sqrt.f64 (log.f64 (fma.f64 (sinh.f64 l) (.f64 2 J) U))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 2 (.f64 J (sinh.f64 l)) U)))) (sqrt.f64 (log.f64 (fma.f64 2 (.f64 J (sinh.f64 l)) U))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sinh.f64 l) (+.f64 J J) U)))) (sqrt.f64 (log.f64 (fma.f64 (sinh.f64 l) (+.f64 J J) U))))
(sqrt.f64 (pow.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U) 2))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(log.f64 (exp.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U))))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2 (*.f64 (sinh.f64 l) J)))) (exp.f64 U)))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(log.f64 (.f64 (pow.f64 (exp.f64 2) (.f64 (sinh.f64 l) J)) (+.f64 1 (expm1.f64 U))))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2 (*.f64 (sinh.f64 l) J)))) (+.f64 1 (expm1.f64 U))))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(log.f64 (.f64 (+.f64 1 (expm1.f64 U)) (pow.f64 (exp.f64 2) (.f64 (sinh.f64 l) J))))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(log.f64 (.f64 (exp.f64 U) (+.f64 1 (expm1.f64 (.f64 2 (*.f64 (sinh.f64 l) J))))))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(log.f64 (.f64 (+.f64 1 (expm1.f64 U)) (+.f64 1 (expm1.f64 (.f64 2 (*.f64 (sinh.f64 l) J))))))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(cbrt.f64 (pow.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U) 3))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(expm1.f64 (log1p.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(log1p.f64 (expm1.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(exp.f64 (log.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(exp.f64 (.f64 (log.f64 (fma.f64 (sinh.f64 l) (.f64 2 J) U)) 1))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U))) 1/3))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sinh.f64 l) (.f64 2 J) U))) 3))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sinh.f64 l) (.f64 2 J) U))) 2))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sinh.f64 l) (*.f64 2 J) U)) 1) 1))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 2 (*.f64 (sinh.f64 l) J) U)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 (*.f64 2 (sinh.f64 l)) J U)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 J (*.f64 2 (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 1 U)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 U 1 (.f64 2 (.f64 (sinh.f64 l) J)))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 1 (.f64 2 (.f64 (sinh.f64 l) J)) U)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 1 U (.f64 2 (.f64 (sinh.f64 l) J)))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 (cbrt.f64 U) (pow.f64 (cbrt.f64 U) 2) (.f64 2 (.f64 (sinh.f64 l) J)))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 (pow.f64 (cbrt.f64 U) 2) (cbrt.f64 U) (.f64 2 (.f64 (sinh.f64 l) J)))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2))) (.f64 (cbrt.f64 (*.f64 2 (sinh.f64 l))) J) U)
(fma.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2))) (.f64 J (cbrt.f64 (*.f64 2 (sinh.f64 l)))) U)
(fma.f64 (pow.f64 (cbrt.f64 J) 2) (.f64 (cbrt.f64 J) (.f64 2 (sinh.f64 l))) U)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) J))) (cbrt.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 2)) U)
(fma.f64 (cbrt.f64 (.f64 2 (.f64 J (sinh.f64 l)))) (cbrt.f64 (pow.f64 (.f64 2 (.f64 J (sinh.f64 l))) 2)) U)
(fma.f64 (cbrt.f64 (.f64 (sinh.f64 l) (+.f64 J J))) (cbrt.f64 (pow.f64 (.f64 (sinh.f64 l) (+.f64 J J)) 2)) U)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) J)) 2)) (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) J))) U)
(fma.f64 (cbrt.f64 (.f64 2 (.f64 J (sinh.f64 l)))) (cbrt.f64 (pow.f64 (.f64 2 (.f64 J (sinh.f64 l))) 2)) U)
(fma.f64 (cbrt.f64 (.f64 (sinh.f64 l) (+.f64 J J))) (cbrt.f64 (pow.f64 (.f64 (sinh.f64 l) (+.f64 J J)) 2)) U)
(fma.f64 (sqrt.f64 U) (sqrt.f64 U) (.f64 2 (.f64 (sinh.f64 l) J)))
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (.f64 (sqrt.f64 (*.f64 2 (sinh.f64 l))) J) U)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 (sqrt.f64 J) (.f64 (sqrt.f64 J) (.f64 2 (sinh.f64 l))) U)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) J))) (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) J))) U)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 (*.f64 (sinh.f64 l) J) 2 U)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 (.f64 (.f64 2 (sinh.f64 l)) (pow.f64 (cbrt.f64 J) 2)) (cbrt.f64 J) U)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 (.f64 (.f64 2 (sinh.f64 l)) (sqrt.f64 J)) (sqrt.f64 J) U)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 (*.f64 J 2) (sinh.f64 l) U)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
(fma.f64 (.f64 J (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))) U)
(fma.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2))) (.f64 J (cbrt.f64 (*.f64 2 (sinh.f64 l)))) U)
(fma.f64 (.f64 J (sqrt.f64 (.f64 2 (sinh.f64 l)))) (sqrt.f64 (*.f64 2 (sinh.f64 l))) U)
(fma.f64 (sinh.f64 l) (*.f64 2 J) U)
(fma.f64 2 (*.f64 J (sinh.f64 l)) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)

eval240.0ms (2.3%)

Compiler: Compiled 11055 to 6217 computations (43.8% saved)

prune219.0ms (2.1%)

Pruning

33 alts after pruning (21 fresh and 12 done)

	Pruned	Kept	Total
New	663	8	671
Fresh	2	13	15
Picked	0	1	1
Done	0	11	11
Total	665	33	698

Error

Counts

698 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	17.0b	(fma.f64 J (.f64 4 (.f64 l l)) U)
	48.0b	(/.f64 (-.f64 -1 (*.f64 U U)) (-.f64 -1 U))
	26.4b	(-.f64 (+.f64 1 (fma.f64 (+.f64 l l) J U)) 1)
	49.4b	(+.f64 (pow.f64 (+.f64 l l) -1/3) U)
	57.3b	(+.f64 (pow.f64 (+.f64 l l) -2) U)
	58.9b	(+.f64 (pow.f64 (+.f64 l l) -3) U)
	32.9b	(+.f64 (hypot.f64 -1 -1) U)
	47.8b	(+.f64 (/.f64 1 (+.f64 l l)) U)
	57.3b	(+.f64 (/.f64 -1 (neg.f64 (fma.f64 l l 0))) U)
	21.1b	(+.f64 (+.f64 l l) U)
✓	16.3b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
✓	21.1b	(+.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K))) U)
✓	9.2b	(+.f64 (*.f64 (+.f64 l l) J) U)
✓	0.6b	(+.f64 (.f64 (.f64 (+.f64 l l) J) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3)) U)
✓	0.5b	(+.f64 (.f64 (.f64 (+.f64 l l) J) (cos.f64 (/.f64 K 2))) U)
✓	25.5b	(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))) U)
	0.8b	(+.f64 (.f64 (.f64 J (pow.f64 (cbrt.f64 (*.f64 2 l)) 3)) (cos.f64 (/.f64 K 2))) U)
✓	0.1b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K)))) U)
✓	8.9b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
✓	0.5b	(+.f64 (.f64 (.f64 2 l) (.f64 J (cos.f64 (.f64 1/2 K)))) U)
✓	0.5b	(+.f64 (.f64 J (.f64 (.f64 2 l) (cos.f64 (.f64 1/2 K)))) U)
	9.1b	(+.f64 (.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2))) U)
	25.5b	(+.f64 (.f64 J (.f64 l (+.f64 (.f64 -1/4 (.f64 K K)) 2))) U)
	30.2b	(+.f64 (.f64 -1/4 (.f64 K (.f64 l (.f64 J K)))) U)
	32.9b	(+.f64 (*.f64 -1 (sqrt.f64 2)) U)
✓	29.9b	(+.f64 (cbrt.f64 (+.f64 l l)) U)
	62.7b	(+.f64 -1 (neg.f64 (pow.f64 U 3)))
	32.9b	(+.f64 -1 U)
	43.0b	(.f64 (-.f64 (+.f64 l l) (.f64 U U)) (/.f64 1 (-.f64 (+.f64 l l) U)))
	62.6b	(.f64 (-.f64 -1 (.f64 U U)) (/.f64 -1 (-.f64 -1 U)))
	61.8b	(*.f64 (cbrt.f64 2) -1)
✓	54.0b	(.f64 l (.f64 J 2))
	17.1b	U

Compiler

Compiled 426 to 315 computations (26.1% saved)

regimes329.0ms (3.1%)

Counts

39 → 1

Calls

Call 1

Inputs
U
(+.f64 -1 U)
(.f64 l (.f64 J 2))
(+.f64 (+.f64 l l) U)
(+.f64 (*.f64 (+.f64 l l) J) U)
(+.f64 (/.f64 1 (+.f64 l l)) U)
(/.f64 (-.f64 -1 (*.f64 U U)) (-.f64 -1 U))
(.f64 (-.f64 -1 (.f64 U U)) (/.f64 -1 (-.f64 -1 U)))
(+.f64 (.f64 -1/4 (.f64 K (.f64 l (.f64 J K)))) U)
(+.f64 (.f64 J (.f64 l (+.f64 (.f64 -1/4 (.f64 K K)) 2))) U)
(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))) U)
(/.f64 (-.f64 (+.f64 l l) (*.f64 U U)) (-.f64 (+.f64 l l) U))
(.f64 (-.f64 (+.f64 l l) (.f64 U U)) (/.f64 1 (-.f64 (+.f64 l l) U)))
(/.f64 0 (/.f64 (+.f64 l (-.f64 l U)) (+.f64 l (-.f64 l (*.f64 U U)))))
(*.f64 (cbrt.f64 2) -1)
(+.f64 (hypot.f64 -1 -1) U)
(+.f64 -1 (neg.f64 (pow.f64 U 3)))
(+.f64 (cbrt.f64 (+.f64 l l)) U)
(+.f64 (*.f64 -1 (sqrt.f64 2)) U)
(+.f64 (pow.f64 (+.f64 l l) -3) U)
(+.f64 (pow.f64 (+.f64 l l) -2) U)
(+.f64 (pow.f64 (+.f64 l l) -1/3) U)
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
(fma.f64 J (.f64 4 (.f64 l l)) U)
(+.f64 (/.f64 -1 (neg.f64 (fma.f64 l l 0))) U)
(+.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K))) U)
(-.f64 (+.f64 1 (fma.f64 (+.f64 l l) J U)) 1)
(+.f64 (.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2))) U)
(+.f64 (.f64 J (.f64 (.f64 2 l) (cos.f64 (.f64 1/2 K)))) U)
(+.f64 (.f64 (.f64 2 l) (.f64 J (cos.f64 (.f64 1/2 K)))) U)
(+.f64 (.f64 (.f64 (+.f64 l l) J) (cos.f64 (/.f64 K 2))) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(+.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 1/2 K)))) U)
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 1/2 K)))) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J (pow.f64 (cbrt.f64 (*.f64 2 l)) 3)) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 (+.f64 l l) J) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3)) U)
(+.f64 (.f64 (.f64 J (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 l))) 3)) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2))) U)

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

Calls

16 calls:

50.0ms	K
45.0ms	(/.f64 K 2)
27.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
27.0ms	U
25.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

Results

Error	Segments	Branch
0.0b	1	`J`
0.0b	1	`l`
0.0b	1	`K`
0.0b	1	`U`
0.0b	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)`
0.0b	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)`
0.0b	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))`
0.0b	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))`
0.0b	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
0.0b	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
0.0b	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0.0b	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0.0b	1	`(cos.f64 (/.f64 K 2))`
0.0b	1	`(cos.f64 (/.f64 K 2))`
0.0b	1	`(/.f64 K 2)`
0.0b	1	`(/.f64 K 2)`

Compiler

Compiled 562 to 349 computations (37.9% saved)

regimes236.0ms (2.2%)

Counts

32 → 1

Calls

Call 1

Inputs
U
(+.f64 -1 U)
(.f64 l (.f64 J 2))
(+.f64 (+.f64 l l) U)
(+.f64 (*.f64 (+.f64 l l) J) U)
(+.f64 (/.f64 1 (+.f64 l l)) U)
(/.f64 (-.f64 -1 (*.f64 U U)) (-.f64 -1 U))
(.f64 (-.f64 -1 (.f64 U U)) (/.f64 -1 (-.f64 -1 U)))
(+.f64 (.f64 -1/4 (.f64 K (.f64 l (.f64 J K)))) U)
(+.f64 (.f64 J (.f64 l (+.f64 (.f64 -1/4 (.f64 K K)) 2))) U)
(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))) U)
(/.f64 (-.f64 (+.f64 l l) (*.f64 U U)) (-.f64 (+.f64 l l) U))
(.f64 (-.f64 (+.f64 l l) (.f64 U U)) (/.f64 1 (-.f64 (+.f64 l l) U)))
(/.f64 0 (/.f64 (+.f64 l (-.f64 l U)) (+.f64 l (-.f64 l (*.f64 U U)))))
(*.f64 (cbrt.f64 2) -1)
(+.f64 (hypot.f64 -1 -1) U)
(+.f64 -1 (neg.f64 (pow.f64 U 3)))
(+.f64 (cbrt.f64 (+.f64 l l)) U)
(+.f64 (*.f64 -1 (sqrt.f64 2)) U)
(+.f64 (pow.f64 (+.f64 l l) -3) U)
(+.f64 (pow.f64 (+.f64 l l) -2) U)
(+.f64 (pow.f64 (+.f64 l l) -1/3) U)
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
(fma.f64 J (.f64 4 (.f64 l l)) U)
(+.f64 (/.f64 -1 (neg.f64 (fma.f64 l l 0))) U)
(+.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K))) U)
(-.f64 (+.f64 1 (fma.f64 (+.f64 l l) J U)) 1)
(+.f64 (.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2))) U)
(+.f64 (.f64 J (.f64 (.f64 2 l) (cos.f64 (.f64 1/2 K)))) U)
(+.f64 (.f64 (.f64 2 l) (.f64 J (cos.f64 (.f64 1/2 K)))) U)
(+.f64 (.f64 (.f64 (+.f64 l l) J) (cos.f64 (/.f64 K 2))) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)

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

Calls

10 calls:

51.0ms	(/.f64 K 2)
38.0ms	K
23.0ms	(/.f64 K 2)
17.0ms	l
16.0ms	J

Results

Error	Segments	Branch
0.5b	1	`J`
0.5b	1	`l`
0.5b	1	`K`
0.5b	1	`U`
0.5b	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0.5b	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0.5b	1	`(cos.f64 (/.f64 K 2))`
0.5b	1	`(cos.f64 (/.f64 K 2))`
0.5b	1	`(/.f64 K 2)`
0.5b	1	`(/.f64 K 2)`

Compiler

Compiled 353 to 208 computations (41.1% saved)

regimes65.0ms (0.6%)

Counts

28 → 1

Calls

Call 1

Inputs
U
(+.f64 -1 U)
(.f64 l (.f64 J 2))
(+.f64 (+.f64 l l) U)
(+.f64 (*.f64 (+.f64 l l) J) U)
(+.f64 (/.f64 1 (+.f64 l l)) U)
(/.f64 (-.f64 -1 (*.f64 U U)) (-.f64 -1 U))
(.f64 (-.f64 -1 (.f64 U U)) (/.f64 -1 (-.f64 -1 U)))
(+.f64 (.f64 -1/4 (.f64 K (.f64 l (.f64 J K)))) U)
(+.f64 (.f64 J (.f64 l (+.f64 (.f64 -1/4 (.f64 K K)) 2))) U)
(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))) U)
(/.f64 (-.f64 (+.f64 l l) (*.f64 U U)) (-.f64 (+.f64 l l) U))
(.f64 (-.f64 (+.f64 l l) (.f64 U U)) (/.f64 1 (-.f64 (+.f64 l l) U)))
(/.f64 0 (/.f64 (+.f64 l (-.f64 l U)) (+.f64 l (-.f64 l (*.f64 U U)))))
(*.f64 (cbrt.f64 2) -1)
(+.f64 (hypot.f64 -1 -1) U)
(+.f64 -1 (neg.f64 (pow.f64 U 3)))
(+.f64 (cbrt.f64 (+.f64 l l)) U)
(+.f64 (*.f64 -1 (sqrt.f64 2)) U)
(+.f64 (pow.f64 (+.f64 l l) -3) U)
(+.f64 (pow.f64 (+.f64 l l) -2) U)
(+.f64 (pow.f64 (+.f64 l l) -1/3) U)
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
(fma.f64 J (.f64 4 (.f64 l l)) U)
(+.f64 (/.f64 -1 (neg.f64 (fma.f64 l l 0))) U)
(+.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K))) U)
(-.f64 (+.f64 1 (fma.f64 (+.f64 l l) J U)) 1)
(+.f64 (.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2))) U)

Outputs
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)

Calls

4 calls:

16.0ms	J
14.0ms	K
14.0ms	l
14.0ms	U

Results

Error	Segments	Branch
8.9b	1	`J`
8.9b	1	`l`
8.9b	1	`K`
8.9b	1	`U`

Compiler

Compiled 257 to 139 computations (45.9% saved)

regimes95.0ms (0.9%)

Counts

22 → 1

Calls

Call 1

Inputs
U
(+.f64 -1 U)
(.f64 l (.f64 J 2))
(+.f64 (+.f64 l l) U)
(+.f64 (*.f64 (+.f64 l l) J) U)
(+.f64 (/.f64 1 (+.f64 l l)) U)
(/.f64 (-.f64 -1 (*.f64 U U)) (-.f64 -1 U))
(.f64 (-.f64 -1 (.f64 U U)) (/.f64 -1 (-.f64 -1 U)))
(+.f64 (.f64 -1/4 (.f64 K (.f64 l (.f64 J K)))) U)
(+.f64 (.f64 J (.f64 l (+.f64 (.f64 -1/4 (.f64 K K)) 2))) U)
(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))) U)
(/.f64 (-.f64 (+.f64 l l) (*.f64 U U)) (-.f64 (+.f64 l l) U))
(.f64 (-.f64 (+.f64 l l) (.f64 U U)) (/.f64 1 (-.f64 (+.f64 l l) U)))
(/.f64 0 (/.f64 (+.f64 l (-.f64 l U)) (+.f64 l (-.f64 l (*.f64 U U)))))
(*.f64 (cbrt.f64 2) -1)
(+.f64 (hypot.f64 -1 -1) U)
(+.f64 -1 (neg.f64 (pow.f64 U 3)))
(+.f64 (cbrt.f64 (+.f64 l l)) U)
(+.f64 (*.f64 -1 (sqrt.f64 2)) U)
(+.f64 (pow.f64 (+.f64 l l) -3) U)
(+.f64 (pow.f64 (+.f64 l l) -2) U)
(+.f64 (pow.f64 (+.f64 l l) -1/3) U)

Outputs
(+.f64 (*.f64 (+.f64 l l) J) U)

Calls

4 calls:

48.0ms	K
16.0ms	J
14.0ms	l
10.0ms	U

Results

Error	Segments	Branch
9.2b	1	`J`
9.2b	1	`l`
9.2b	1	`K`
9.2b	1	`U`

Compiler

Compiled 200 to 108 computations (46% saved)

regimes84.0ms (0.8%)

Counts

4 → 5

Calls

Call 1

Inputs
U
(+.f64 -1 U)
(.f64 l (.f64 J 2))
(+.f64 (+.f64 l l) U)

Outputs
U
(.f64 l (.f64 J 2))
U
(.f64 l (.f64 J 2))
U

Calls

4 calls:

52.0ms	K
17.0ms	U
9.0ms	J
4.0ms	l

Results

Error	Segments	Branch
15.7b	2	`J`
17.1b	1	`l`
15.6b	3	`K`
14.8b	5	`U`

Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch284.0ms (2.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
58.0ms	5.88479720298891e-252	5.035153718280501e-247
128.0ms	-1.4900747312860762e-253	-4.0700442026789e-273
54.0ms	-1.8559833708127668e-179	-2.0931202718502835e-184
44.0ms	-1.2358993819441796e-119	-4.122339840083479e-122

Results

128.0ms	240×	body	1024	valid
105.0ms	149×	body	512	valid
31.0ms	191×	body	256	valid
10.0ms	12×	body	2048	valid

Compiler

Compiled 618 to 501 computations (18.9% saved)

regimes20.0ms (0.2%)

Accuracy

Total -16.1b remaining (-94.2%)

Threshold costs -16.1b (-94.2%)

Counts

2 → 1

Calls

Call 1

Inputs
U
(+.f64 -1 U)

Outputs
U

Calls

4 calls:

10.0ms	J
3.0ms	l
3.0ms	U
3.0ms	K

Results

Error	Segments	Branch
17.1b	1	`J`
17.1b	1	`l`
17.1b	1	`K`
17.1b	1	`U`

Compiler

Compiled 28 to 22 computations (21.4% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	102
1	53	102

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 1/2 K)))) U)
(+.f64 (.f64 J (.f64 (.f64 2 l) (cos.f64 (.f64 1/2 K)))) U)
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
(+.f64 (*.f64 (+.f64 l l) J) U)
(if (<=.f64 U -7814969963626365/186070713419675363980626894819329160794532188335953423432061490990243657757029868371504908982723472783555205531204141550984858016925351936) U (if (<=.f64 U -5255931591500769/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (.f64 l (.f64 J 2)) (if (<=.f64 U -7616908286351531/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384) U (if (<=.f64 U 8061134813471455/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176) (.f64 l (.f64 J 2)) U))))
U

Outputs
(+.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 1/2 K)))) U)
(+.f64 (.f64 J (.f64 (.f64 2 l) (cos.f64 (.f64 1/2 K)))) U)
(+.f64 U (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 l))))
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
(+.f64 U (.f64 J (.f64 2 (sinh.f64 l))))
(+.f64 (*.f64 (+.f64 l l) J) U)
(+.f64 U (*.f64 J (+.f64 l l)))
(if (<=.f64 U -7814969963626365/186070713419675363980626894819329160794532188335953423432061490990243657757029868371504908982723472783555205531204141550984858016925351936) U (if (<=.f64 U -5255931591500769/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (.f64 l (.f64 J 2)) (if (<=.f64 U -7616908286351531/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384) U (if (<=.f64 U 8061134813471455/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176) (.f64 l (.f64 J 2)) U))))
U

Compiler

Compiled 94 to 67 computations (28.7% saved)

soundness74.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

844×	`fma-def_binary64`
470×	`unswap-sqr_binary64`
378×	`log-prod_binary64`
273×	`associate-l_binary64`
267×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1879
1	511	1806
2	2172	1732
3	7086	1732

Stop Event

1×	node limit

Compiler

Compiled 47 to 38 computations (19.1% saved)

end49.0ms (0.5%)

Compiler: Compiled 74 to 46 computations (37.8% saved)