Details

analyze562.0ms (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 (37.5%)

Results

972.0ms	1702×	body	1024	valid
943.0ms	5274×	body	256	valid
896.0ms	2013×	body	1024	infinite
618.0ms	3814×	body	256	infinite
429.0ms	1230×	body	512	valid
295.0ms	1042×	body	512	infinite
40.0ms	50×	body	2048	valid

Bogosity

preprocess61.0ms (0.5%)

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)

simplify65.0ms (0.6%)

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)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

17.7b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.8b	(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (cos.f64 (/.f64 K 2))) U)
▶	17.7b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 37 to 27 computations (27% saved)

localize47.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
✓	0.0b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
✓	3.8b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 65 to 24 computations (63.1% saved)

series12.0ms (0.1%)

Counts

3 → 68

Calls

18 calls:

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

rewrite64.0ms (0.6%)

Algorithm

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

Rules

143×	`add-sqr-sqrt_binary64`
143×	`add-sqr-sqrt_binary64`
136×	`*-un-lft-identity_binary64`
136×	`pow1_binary64`
136×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	277	18
2	4319	18
0	6	6
1	130	6
2	2188	6
0	6	6
0	8	9
1	169	9
2	2769	9
0	8	9
0	13	17
1	277	17
2	4318	17
0	13	17

Stop Event

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

Counts

3 → 25

Calls

Call 1

Inputs
(-.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)))) (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 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 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))))))))))

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 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 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))))))))))

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

734×	`fma-def_binary64`
427×	`*-commutative_binary64`
402×	`associate-/l*_binary64`
223×	`unswap-sqr_binary64`
198×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	1753
1	418	1692
2	1536	1618
3	5127	1286

Stop Event

1×	node limit

Counts

93 → 103

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 (-.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))))
(.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 (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 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)))))
(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))))))

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

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (cos.f64 (/.f64 K 2))) U)
✓	0.1b	(*.f64 J (cos.f64 (/.f64 K 2)))
	3.8b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 49 to 23 computations (53.1% saved)

series9.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	J	@	0	(*.f64 J (cos.f64 (/.f64 K 2)))
1.0ms	U	@	0	(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (cos.f64 (/.f64 K 2))) U)
1.0ms	l	@	inf	(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (cos.f64 (/.f64 K 2))) U)
1.0ms	l	@	-inf	(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (cos.f64 (/.f64 K 2))) U)
0.0ms	K	@	inf	(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (cos.f64 (/.f64 K 2))) U)

rewrite68.0ms (0.6%)

Algorithm

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

Rules

680×	`pow1_binary64`
630×	`add-log-exp_binary64`
630×	`log1p-expm1-u_binary64`
630×	`expm1-log1p-u_binary64`
618×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	295	27
2	4442	27
0	7	9
1	146	9
2	1717	9
0	14	18
1	295	18
2	4450	18
0	14	18

Stop Event

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

Counts

2 → 23

Calls

Call 1

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

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

Outputs

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

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

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

732×	`distribute-rgt-in_binary64`
713×	`distribute-lft-in_binary64`
595×	`fma-def_binary64`
361×	`distribute-lft-out_binary64`
286×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	1686
1	347	1648
2	1150	1610
3	3937	1386

Stop Event

1×	node limit

Counts

95 → 76

Calls

Call 1

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

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

eval141.0ms (1.3%)

Compiler: Compiled 4727 to 2604 computations (44.9% saved)

prune39.0ms (0.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	205	8	213
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	207	8	215

Error

0.0b

Counts

215 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(fma.f64 (+.f64 l l) (*.f64 J (cos.f64 (/.f64 K 2))) U)
▶	9.9b	(fma.f64 J (*.f64 2 (sinh.f64 l)) U)
	0.1b	(+.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 1) U)
	0.8b	(+.f64 (.f64 (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (*.f64 (pow.f64 l 3) J))) (cos.f64 (/.f64 K 2))) U)
▶	0.9b	(+.f64 (.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2))) U)
▶	0.1b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 K 1/2)))) U)
▶	43.5b	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
	19.2b	U

Compiler

Compiled 239 to 178 computations (25.5% saved)

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 53 to 33 computations (37.7% saved)

series17.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite95.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`log-prod_binary64`
386×	`pow2_binary64`
370×	`fma-def_binary64`
270×	`pow1/3_binary64`
268×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	296	44
2	3773	44

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

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

Outputs

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

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((x fma.f64 (*.f64 J (cos.f64 (*.f64 K 1/2))) (*.f64 2 (sinh.f64 l)) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (*.f64 (*.f64 (sinh.f64 l) J) (cos.f64 (*.f64 K 1/2)))) 1 U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 U 1 (*.f64 2 (*.f64 (*.f64 (sinh.f64 l) J) (cos.f64 (*.f64 K 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (*.f64 (*.f64 (sinh.f64 l) J) (cos.f64 (*.f64 K 1/2)))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 U (*.f64 2 (*.f64 (*.f64 (sinh.f64 l) J) (cos.f64 (*.f64 K 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 J (cos.f64 (*.f64 K 1/2)))) 2) (*.f64 (cbrt.f64 (*.f64 J (cos.f64 (*.f64 K 1/2)))) (*.f64 2 (sinh.f64 l))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 l) 2))) (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 l))) (*.f64 J (cos.f64 (*.f64 K 1/2)))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 2 (*.f64 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U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (*.f64 (*.f64 (sinh.f64 l) J) (cos.f64 (*.f64 K 1/2))))) (sqrt.f64 (*.f64 2 (*.f64 (*.f64 (sinh.f64 l) J) (cos.f64 (*.f64 K 1/2))))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 U) (sqrt.f64 U) (*.f64 2 (*.f64 (*.f64 (sinh.f64 l) J) (cos.f64 (*.f64 K 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) (cos.f64 (*.f64 K 1/2))) 2 U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sinh.f64 l) (*.f64 2 J)) (cos.f64 (*.f64 K 1/2)) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))) J U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (sinh.f64 l)) (pow.f64 (cbrt.f64 (*.f64 J (cos.f64 (*.f64 K 1/2)))) 2)) (cbrt.f64 (*.f64 J (cos.f64 (*.f64 K 1/2)))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (sinh.f64 l)) (sqrt.f64 (*.f64 J (cos.f64 (*.f64 K 1/2))))) (sqrt.f64 (*.f64 J (cos.f64 (*.f64 K 1/2)))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K 1/2))) 2) (sinh.f64 l) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K 1/2))) (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 (*.f64 J (cos.f64 (*.f64 K 1/2))) (sqrt.f64 (*.f64 2 (sinh.f64 l)))) (sqrt.f64 (*.f64 2 (sinh.f64 l))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sinh.f64 l) (*.f64 2 J)) 1) (cos.f64 (*.f64 K 1/2)) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sinh.f64 l) (*.f64 2 J)) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))) (cbrt.f64 (cos.f64 (*.f64 K 1/2))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sinh.f64 l) (*.f64 2 J)) (sqrt.f64 (cos.f64 (*.f64 K 1/2)))) (sqrt.f64 (cos.f64 (*.f64 K 1/2))) U)))))

simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

868×	`times-frac_binary64`
521×	`unswap-sqr_binary64`
256×	`associate-l_binary64`
251×	`log-prod_binary64`
236×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	4678
1	887	4537
2	3014	4493

Stop Event

1×	node limit

Counts

215 → 207

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

Outputs
(.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 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K)))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) 2))
(+.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 J (pow.f64 l 3)) (cos.f64 (*.f64 1/2 K)))))
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K)))) (.f64 1/3 (.f64 (.f64 J (pow.f64 l 3)) (cos.f64 (*.f64 1/2 K)))))
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K)))) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (*.f64 J (pow.f64 l 3)) 1/3)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 5) J))) (.f64 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 J (pow.f64 l 5)) (cos.f64 (.f64 1/2 K))) (.f64 1/3 (.f64 (.f64 J (pow.f64 l 3)) (cos.f64 (.f64 1/2 K))))))
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K)))) (fma.f64 1/3 (.f64 (.f64 J (pow.f64 l 3)) (cos.f64 (.f64 1/2 K))) (.f64 1/60 (.f64 J (.f64 (pow.f64 l 5) (cos.f64 (.f64 1/2 K)))))))
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K)))) (fma.f64 1/60 (.f64 (.f64 J (pow.f64 l 5)) (cos.f64 (.f64 1/2 K))) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 J (pow.f64 l 3)) 1/3))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 5) J))) (+.f64 (.f64 1/2520 (.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 J (pow.f64 l 5)) (cos.f64 (.f64 1/2 K))) (fma.f64 1/2520 (.f64 (.f64 J (pow.f64 l 7)) (cos.f64 (.f64 1/2 K))) (.f64 1/3 (.f64 (.f64 J (pow.f64 l 3)) (cos.f64 (*.f64 1/2 K)))))))
(fma.f64 2 (.f64 J (.f64 l (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 (.f64 J (pow.f64 l 3)) (cos.f64 (.f64 1/2 K))) (.f64 1/2520 (.f64 (.f64 J (pow.f64 l 7)) (cos.f64 (*.f64 1/2 K)))))))
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K)))) (fma.f64 1/60 (.f64 (.f64 J (pow.f64 l 5)) (cos.f64 (.f64 1/2 K))) (fma.f64 1/2520 (.f64 (.f64 J (pow.f64 l 7)) (cos.f64 (.f64 1/2 K))) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (*.f64 J (pow.f64 l 3)) 1/3)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (-.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 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (-.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 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (-.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 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 J (cos.f64 (*.f64 1/2 K))) (-.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 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
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U
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U
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(fma.f64 (.f64 (.f64 2 (sinh.f64 l)) (sqrt.f64 (.f64 J (cos.f64 (.f64 K 1/2))))) (sqrt.f64 (.f64 J (cos.f64 (.f64 K 1/2)))) U)
(fma.f64 2 (.f64 (sinh.f64 l) (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 J)) U)
(fma.f64 2 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K 1/2))) 2) (sinh.f64 l) U)
(fma.f64 2 (.f64 (sinh.f64 l) (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 J)) U)
(fma.f64 2 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K 1/2))) (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 (.f64 J (cos.f64 (.f64 1/2 K))) (cbrt.f64 (*.f64 2 (sinh.f64 l)))) U)
(fma.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 l) 2))) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (cbrt.f64 (*.f64 2 (sinh.f64 l))))) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K 1/2))) (sqrt.f64 (.f64 2 (sinh.f64 l)))) (sqrt.f64 (*.f64 2 (sinh.f64 l))) U)
(fma.f64 2 (.f64 (sinh.f64 l) (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 J)) U)
(fma.f64 2 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (.f64 (.f64 (sinh.f64 l) (.f64 2 J)) 1) (cos.f64 (.f64 K 1/2)) U)
(fma.f64 2 (.f64 (sinh.f64 l) (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 J)) U)
(fma.f64 2 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (.f64 (.f64 (sinh.f64 l) (.f64 2 J)) (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) (cbrt.f64 (cos.f64 (*.f64 K 1/2))) U)
(fma.f64 (.f64 (.f64 (sinh.f64 l) (.f64 2 J)) (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) (cbrt.f64 (cos.f64 (*.f64 1/2 K))) U)
(fma.f64 (.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 K) 1/2)) (.f64 2 (.f64 J (sinh.f64 l)))) (cbrt.f64 (cos.f64 (.f64 1/2 K))) U)
(fma.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cbrt.f64 (fma.f64 1/2 (cos.f64 K) 1/2)))) (cbrt.f64 (cos.f64 (.f64 1/2 K))) U)
(fma.f64 (.f64 (.f64 (sinh.f64 l) (.f64 2 J)) (sqrt.f64 (cos.f64 (.f64 K 1/2)))) (sqrt.f64 (cos.f64 (*.f64 K 1/2))) U)
(fma.f64 2 (.f64 (sinh.f64 l) (.f64 J (cos.f64 (*.f64 1/2 K)))) U)
(fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 J)) U)
(fma.f64 2 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))) U)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2))) U)
✓	0.1b	(.f64 (.f64 J (+.f64 l l)) (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	J	@	-inf	(.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2)))
1.0ms	J	@	0	(.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2)))
1.0ms	l	@	0	(.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2)))
1.0ms	J	@	inf	(.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2)))
1.0ms	l	@	inf	(.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2)))

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

643×	`log-prod_binary64`
401×	`fma-def_binary64`
341×	`pow2_binary64`
242×	`pow-unpow_binary64`
237×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	269	31
2	3797	25

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

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

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

simplify43.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

114×	`associate-r_binary64`
111×	`associate-l_binary64`
98×	`fma-def_binary64`
83×	`*-commutative_binary64`
61×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	3118
1	597	3118
2	1886	3118

Stop Event

1×

unsound

Counts

169 → 120

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite45.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`pow1_binary64`
700×	`add-log-exp_binary64`
699×	`log1p-expm1-u_binary64`
699×	`expm1-log1p-u_binary64`
684×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	162	10
2	1896	10

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 J (*.f64 2 (sinh.f64 l)) U)

Outputs

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

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

755×	`times-frac_binary64`
652×	`distribute-rgt-in_binary64`
633×	`distribute-lft-in_binary64`
329×	`fma-def_binary64`
216×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	796
1	217	793
2	823	782
3	3124	586

Stop Event

1×	node limit

Counts

57 → 42

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 39 to 24 computations (38.5% saved)

series6.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`log-prod_binary64`
378×	`pow-prod-down_binary64`
311×	`pow2_binary64`
251×	`pow-unpow_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	245	26
2	2898	26

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

((#(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 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (*.f64 (sinh.f64 l) J)))) (log.f64 (sqrt.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 /.f64 (*.f64 (*.f64 J 2) (*.f64 2 (sinh.f64 l))) 2)))) (#(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 (pow.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)) 3) 1/3)))) (#(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 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 (pow.f64 (*.f64 2 (*.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 (pow.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)) 3)) 1/3))))) (#(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 (*.f64 (log.f64 (*.f64 2 (*.f64 (sinh.f64 l) J))) 1) 1))))))

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

964×	`fma-def_binary64`
504×	`log-prod_binary64`
381×	`distribute-rgt-in_binary64`
369×	`distribute-lft-in_binary64`
345×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	1903
1	442	1816
2	1494	1743
3	6605	1743

Stop Event

1×	node limit

Counts

103 → 99

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 20 computations (44.4% saved)

series27.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	l	@	-inf	(fma.f64 (+.f64 l l) (*.f64 J (cos.f64 (/.f64 K 2))) U)
1.0ms	K	@	inf	(fma.f64 (+.f64 l l) (*.f64 J (cos.f64 (/.f64 K 2))) U)
1.0ms	J	@	0	(fma.f64 (+.f64 l l) (*.f64 J (cos.f64 (/.f64 K 2))) U)
0.0ms	l	@	0	(fma.f64 (+.f64 l l) (*.f64 J (cos.f64 (/.f64 K 2))) U)
0.0ms	l	@	inf	(fma.f64 (+.f64 l l) (*.f64 J (cos.f64 (/.f64 K 2))) U)

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`log-prod_binary64`
373×	`prod-diff_binary64`
312×	`pow-prod-down_binary64`
288×	`pow2_binary64`
202×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	233	16
2	2979	16

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

784×	`times-frac_binary64`
627×	`fma-def_binary64`
229×	`distribute-lft-out_binary64`
212×	`distribute-rgt-out_binary64`
208×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1403
1	326	1369
2	1074	1353
3	4182	1328

Stop Event

1×	node limit

Counts

82 → 68

Calls

Call 1

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

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

eval269.0ms (2.4%)

Compiler: Compiled 11156 to 6493 computations (41.8% saved)

prune177.0ms (1.6%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	553	11	564
Fresh	2	1	3
Picked	1	0	1
Done	1	3	4
Total	557	15	572

Error

Counts

572 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	32.4b	(fma.f64 (+.f64 l l) (pow.f64 (sqrt.f64 (.f64 J (cos.f64 (.f64 K 1/2)))) 2) U)
	9.9b	(fma.f64 (+.f64 l l) J U)
	15.8b	(fma.f64 (.f64 (.f64 (sinh.f64 l) (.f64 2 J)) (sqrt.f64 (cos.f64 (.f64 K 1/2)))) (sqrt.f64 (cos.f64 (*.f64 K 1/2))) U)
	32.6b	(fma.f64 (sqrt.f64 J) (.f64 (.f64 (+.f64 l l) (cos.f64 (/.f64 K -2))) (sqrt.f64 J)) U)
▶	9.9b	(+.f64 (*.f64 (+.f64 l l) J) U)
✓	0.9b	(+.f64 (.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2))) U)
✓	0.1b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 K 1/2)))) U)
▶	0.9b	(+.f64 (.f64 2 (.f64 J (*.f64 l (cos.f64 (/.f64 K -2))))) U)
	24.3b	(+.f64 U (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))))
▶	52.9b	(.f64 (.f64 J 2) (sinh.f64 l))
	44.3b	(.f64 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
▶	44.2b	(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J))))
✓	43.5b	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
▶	44.3b	(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 J J)))
	19.2b	U

Compiler

Compiled 401 to 292 computations (27.2% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 35 computations (34% saved)

series23.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Expression
5.0ms	K	@	(*.f64 l (cos.f64 (/.f64 K -2)))
3.0ms	l	@	(.f64 2 (.f64 J (*.f64 l (cos.f64 (/.f64 K -2)))))
1.0ms	l	@	(*.f64 l (cos.f64 (/.f64 K -2)))
1.0ms	J	@	(.f64 J (.f64 l (cos.f64 (/.f64 K -2))))
1.0ms	U	@	(+.f64 (.f64 2 (.f64 J (*.f64 l (cos.f64 (/.f64 K -2))))) U)

rewrite90.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`log-prod_binary64`
358×	`pow2_binary64`
321×	`fma-def_binary64`
266×	`pow-unpow_binary64`
252×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	279	52
2	3557	52

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

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

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

simplify141.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

455×	`cancel-sign-sub-inv_binary64`
387×	`log-prod_binary64`
300×	`distribute-rgt-neg-in_binary64`
293×	`distribute-lft-neg-in_binary64`
257×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	4545
1	836	4436
2	3088	4223

Stop Event

1×	node limit

Counts

269 → 211

Calls

Call 1

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

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	l	@	-inf	(+.f64 (*.f64 (+.f64 l l) J) U)

rewrite88.0ms (0.8%)

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)))))

simplify44.0ms (0.4%)

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)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`pow1_binary64`
628×	`add-log-exp_binary64`
627×	`log1p-expm1-u_binary64`
627×	`expm1-log1p-u_binary64`
615×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	144	9
2	1724	9

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

689×	`distribute-rgt-in_binary64`
672×	`log-prod_binary64`
671×	`distribute-lft-in_binary64`
530×	`associate-l_binary64`
469×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	543
1	191	540
2	668	529
3	3747	389

Stop Event

1×	node limit

Counts

39 → 34

Calls

Call 1

Inputs
(*.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)
(.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 1 (.f64 J (.f64 2 (sinh.f64 l)))) 1)
(/.f64 (.f64 (.f64 2 (sinh.f64 l)) (*.f64 J 2)) 2)
(/.f64 (.f64 (.f64 J 2) (*.f64 2 (sinh.f64 l))) 2)
(pow.f64 (.f64 J (.f64 2 (sinh.f64 l))) 1)
(pow.f64 (pow.f64 (.f64 J (.f64 2 (sinh.f64 l))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l)))) 3)
(pow.f64 (sqrt.f64 (.f64 J (.f64 2 (sinh.f64 l)))) 2)
(sqrt.f64 (pow.f64 (.f64 J (.f64 2 (sinh.f64 l))) 2))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (*.f64 J 2)))
(cbrt.f64 (pow.f64 (.f64 J (.f64 2 (sinh.f64 l))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 J 2) 3) (pow.f64 (sinh.f64 l) 3)))
(cbrt.f64 (.f64 (pow.f64 (sinh.f64 l) 3) (pow.f64 (.f64 J 2) 3)))
(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)))))

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

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 20 computations (44.4% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

537×	`prod-diff_binary64`
510×	`log-prod_binary64`
323×	`pow-prod-down_binary64`
262×	`pow2_binary64`
229×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	212	24
2	2835	8

Stop Event

1×	node limit

Counts

2 → 226

Calls

Call 1

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

Outputs

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

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

simplify35.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative_binary64`
36×	`sqr-pow_binary64`
28×	`fma-udef_binary64`
19×	`associate-r_binary64`
17×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	273	1061
1	881	1061

Stop Event

1×

unsound

Counts

286 → 149

Calls

Call 1

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

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

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (.f64 l J))
✓	0.1b	(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J))))
✓	0.1b	(.f64 1/3 (.f64 (pow.f64 l 3) J))
✓	7.6b	(*.f64 (pow.f64 l 3) J)

Compiler

Compiled 72 to 46 computations (36.1% saved)

series37.0ms (0.3%)

Counts

4 → 28

Calls

27 calls:

Time	Variable		Point	Expression
24.0ms	J	@	0	(*.f64 (pow.f64 l 3) J)
1.0ms	K	@	inf	(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J))))
1.0ms	K	@	0	(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J))))
1.0ms	J	@	inf	(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J))))
1.0ms	l	@	0	(*.f64 (pow.f64 l 3) J)

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

899×	`log-prod_binary64`
524×	`fma-def_binary64`
308×	`expm1-udef_binary64`
308×	`log1p-udef_binary64`
251×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	49
1	368	48
2	4610	46

Stop Event

1×	node limit

Counts

4 → 122

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 l 3) J))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (pow.f64 l 3))) (cbrt.f64 (pow.f64 (exp.f64 J) (pow.f64 l 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (pow.f64 l 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (pow.f64 l 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (pow.f64 l 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 l 3) J))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 l 3) J) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 l 3) J) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 l (cbrt.f64 J)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 J) (pow.f64 l 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 J J) (pow.f64 l 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 J) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 l 3) J))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 l 3) J) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 l 3) 3) (pow.f64 J 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 J 3) (pow.f64 (pow.f64 l 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 l 3) J)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 l 3) J)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 l 3) J)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 l 3) J)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 l 3) (.f64 J 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (.f64 (pow.f64 l 3) J))) (cbrt.f64 (pow.f64 (exp.f64 1/3) (.f64 (pow.f64 l 3) J))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (.f64 (pow.f64 l 3) J)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (.f64 (pow.f64 l 3) J)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (.f64 (pow.f64 l 3) J)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 l 3) (.f64 J 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 l 3) (.f64 J 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 l (cbrt.f64 J)) (cbrt.f64 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (pow.f64 l 3) (.f64 J 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 (pow.f64 l 3) J) 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 (.f64 J J) (pow.f64 l 6)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (.f64 (pow.f64 l 3) J)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 l 3) (.f64 J 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 l 3) J) 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 l 3) (.f64 J 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 l 3) (.f64 J 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 l 3) (.f64 J 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 l 3) (*.f64 J 1/3))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 J 2))) (.f64 (.f64 (pow.f64 l 3) J) (.f64 1/3 (cos.f64 (.f64 1/2 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (pow.f64 l 3) J) (.f64 1/3 (cos.f64 (.f64 1/2 K)))) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 J 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (fma.f64 (pow.f64 l 3) 1/3 (.f64 l 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 J 2))) 1) (.f64 (.f64 (.f64 (pow.f64 l 3) J) (.f64 1/3 (cos.f64 (.f64 1/2 K)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 1/2 K))) (.f64 J (fma.f64 (pow.f64 l 3) 1/3 (.f64 l 2))))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 1/2 K))) (.f64 J (fma.f64 (pow.f64 l 3) 1/3 (.f64 l 2))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 1/2 K))) (.f64 J (fma.f64 (pow.f64 l 3) 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simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Rules

681×	`unswap-sqr_binary64`
600×	`times-frac_binary64`
463×	`associate-l_binary64`
417×	`associate-r_binary64`
340×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	349	4155
1	927	3098
2	4258	3034

Stop Event

1×	node limit

Counts

150 → 182

Calls

Call 1

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

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

eval240.0ms (2.1%)

Compiler: Compiled 12290 to 7893 computations (35.8% saved)

prune213.0ms (1.9%)

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	619	10	629
Fresh	2	5	7
Picked	0	1	1
Done	1	6	7
Total	622	22	644

Error

Counts

644 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	9.9b	(fma.f64 (+.f64 l l) J U)
	15.8b	(fma.f64 (.f64 (.f64 (sinh.f64 l) (.f64 2 J)) (sqrt.f64 (cos.f64 (.f64 K 1/2)))) (sqrt.f64 (cos.f64 (*.f64 K 1/2))) U)
	32.6b	(fma.f64 (sqrt.f64 J) (.f64 (.f64 (+.f64 l l) (cos.f64 (/.f64 K -2))) (sqrt.f64 J)) U)
	19.1b	(fma.f64 J (.f64 4 (.f64 l l)) U)
	44.9b	(/.f64 (-.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U U)) (-.f64 (.f64 (+.f64 l l) J) U))
✓	9.9b	(+.f64 (*.f64 (+.f64 l l) J) U)
	24.3b	(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 (.f64 K K) -1/4))) U)
✓	0.9b	(+.f64 (.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2))) U)
✓	0.1b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 K 1/2)))) U)
▶	1.3b	(+.f64 (.f64 2 (.f64 J (pow.f64 (cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) 3))) U)
✓	52.9b	(.f64 (.f64 J 2) (sinh.f64 l))
	44.3b	(.f64 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
✓	44.2b	(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J))))
✓	43.5b	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
▶	62.2b	(.f64 l (+.f64 (.f64 (+.f64 J J) J) (*.f64 (+.f64 J J) J)))
	53.0b	(*.f64 l (+.f64 J J))
	59.7b	(*.f64 l (+.f64 0 J))
✓	44.3b	(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 J J)))
▶	57.9b	(*.f64 l (fabs.f64 (+.f64 J J)))
▶	61.9b	(*.f64 l 0)
▶	44.3b	(.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l)))
	19.2b	U

Compiler

Compiled 516 to 358 computations (30.6% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 J (pow.f64 (cbrt.f64 (.f64 l (cos.f64 (*.f64 K -1/2)))) 3))
✓	0.1b	(.f64 l (cos.f64 (.f64 K -1/2)))
✓	0.7b	(cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2))))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) 3)

Compiler

Compiled 79 to 57 computations (27.8% saved)

series58.0ms (0.5%)

Counts

4 → 84

Calls

27 calls:

Time	Variable		Point	Expression
37.0ms	l	@	-inf	(.f64 J (pow.f64 (cbrt.f64 (.f64 l (cos.f64 (*.f64 K -1/2)))) 3))
4.0ms	K	@	inf	(pow.f64 (cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) 3)
3.0ms	K	@	0	(pow.f64 (cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) 3)
2.0ms	K	@	-inf	(pow.f64 (cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) 3)
2.0ms	l	@	0	(pow.f64 (cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) 3)

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

516×	`log-prod_binary64`
395×	`prod-exp_binary64`
384×	`exp-prod_binary64`
342×	`pow-prod-down_binary64`
270×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	247	41
2	2579	41

Stop Event

1×	node limit

Counts

4 → 166

Calls

Call 1

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

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

simplify139.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

772×	`log-prod_binary64`
405×	`associate-+l+_binary64`
382×	`associate-+r+_binary64`
274×	`associate-l_binary64`
271×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	412	3278
1	1034	3176
2	3242	3139
3	7326	3133

Stop Event

1×	node limit

Counts

250 → 207

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) l)
(+.f64 (.f64 (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) l)) (.f64 -1/24 (.f64 (pow.f64 1 1/3) l))) (pow.f64 K 2)) (.f64 (pow.f64 1 1/3) l))
(+.f64 (.f64 (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) l)) (.f64 -1/24 (.f64 (pow.f64 1 1/3) l))) (pow.f64 K 2)) (+.f64 (.f64 (pow.f64 1 1/3) l) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (+.f64 (.f64 1/576 (pow.f64 (.f64 1 (pow.f64 l 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 l) 1/3) (-.f64 (.f64 1/384 l) (.f64 1/192 l)))))) (+.f64 (.f64 1/288 (.f64 (pow.f64 1 1/3) l)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/384 l) (*.f64 1/192 l)))))) (pow.f64 K 4))))
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(exp.f64 (.f64 (.f64 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2))))) 1) 1))
(+.f64 0 (.f64 l (cos.f64 (.f64 K -1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (cos.f64 (.f64 K -1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (cos.f64 (.f64 K -1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (cos.f64 (.f64 K -1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (cos.f64 (.f64 K -1/2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 l (cos.f64 (.f64 K -1/2))))) 1)
(pow.f64 (.f64 l (cos.f64 (.f64 K -1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) 3)
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2))))))
(pow.f64 (pow.f64 (cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) 2) 3/2)
(pow.f64 (pow.f64 (.f64 l (cos.f64 (.f64 K -1/2))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 l (cos.f64 (.f64 K -1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2))))) 9)
(pow.f64 (pow.f64 (.f64 l (cos.f64 (.f64 K -1/2))) 1/6) 6)
(pow.f64 (sqrt.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (.f64 l (cos.f64 (.f64 K -1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2))))) 2)) (cbrt.f64 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2)))))) (sqrt.f64 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2))))))
(sqrt.f64 (pow.f64 (.f64 l (cos.f64 (.f64 K -1/2))) 2))
(log.f64 (pow.f64 (exp.f64 l) (cos.f64 (*.f64 K -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 l (cos.f64 (.f64 K -1/2))))))
(cbrt.f64 (pow.f64 (.f64 l (cos.f64 (.f64 K -1/2))) 3))
(expm1.f64 (log1p.f64 (.f64 l (cos.f64 (.f64 K -1/2)))))
(log1p.f64 (expm1.f64 (.f64 l (cos.f64 (.f64 K -1/2)))))
(exp.f64 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 l (cos.f64 (*.f64 K -1/2)))) 1))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2))))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 l (cos.f64 (*.f64 K -1/2))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2))))) 1) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2))))) 3/2) 2))
(exp.f64 (+.f64 (.f64 (log.f64 l) 1) (log.f64 (cos.f64 (.f64 K -1/2)))))
(exp.f64 (+.f64 (log.f64 l) (.f64 (log.f64 (cos.f64 (.f64 K -1/2))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 l) 1) (.f64 (log.f64 (cos.f64 (*.f64 K -1/2))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 (.f64 K -1/2))) 1) (log.f64 l)))
(exp.f64 (+.f64 (log.f64 (cos.f64 (.f64 K -1/2))) (.f64 (log.f64 l) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 (.f64 K -1/2))) 1) (*.f64 (log.f64 l) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) 1/3) (.f64 2/3 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2)))))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2))))) 1) (.f64 2/3 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2)))))))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2))))) (.f64 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) 1/3)))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2))))) (.f64 (log.f64 (cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2))))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2))))) 3/2) (log.f64 (sqrt.f64 (.f64 l (cos.f64 (*.f64 K -1/2)))))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 l (cos.f64 (.f64 K -1/2))))) (.f64 (log.f64 (cbrt.f64 (.f64 l (cos.f64 (*.f64 K -1/2))))) 3/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2))))) 3/2) (.f64 (log.f64 (cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2))))) 3/2)))
(+.f64 0 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 K -1/2)) J))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 K -1/2)) J)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 K -1/2)) J)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 K -1/2)) J)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J)))) 1)
(pow.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J)) 1)
(pow.f64 (pow.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J))) 3)
(pow.f64 (sqrt.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J))) 2)
(pow.f64 (exp.f64 1) (log.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 l (.f64 (cos.f64 (.f64 K -1/2)) J)))) 2)) (cbrt.f64 (log.f64 (.f64 l (.f64 (cos.f64 (.f64 K -1/2)) J)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 l (.f64 (cos.f64 (.f64 K -1/2)) J))))) (sqrt.f64 (log.f64 (.f64 l (.f64 (cos.f64 (.f64 K -1/2)) J)))))
(sqrt.f64 (pow.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J)) 2))
(log.f64 (pow.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 K -1/2)) J)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J)))))
(cbrt.f64 (pow.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J)) 3))
(expm1.f64 (log1p.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J))))
(log1p.f64 (expm1.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J))))
(exp.f64 (log.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J))))
(exp.f64 (.f64 (log.f64 (.f64 l (.f64 (cos.f64 (.f64 K -1/2)) J))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 l (.f64 (cos.f64 (.f64 K -1/2)) J)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 l (.f64 (cos.f64 (.f64 K -1/2)) J)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J))) 1) 1))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 l (cos.f64 (*.f64 K -1/2)))) 1) (log.f64 J)))
(exp.f64 (+.f64 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) (*.f64 (log.f64 J) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) 1) (.f64 (log.f64 J) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 J) 1) (log.f64 (.f64 l (cos.f64 (*.f64 K -1/2))))))
(exp.f64 (+.f64 (log.f64 J) (.f64 (log.f64 (.f64 l (cos.f64 (*.f64 K -1/2)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 J) 1) (.f64 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) 1)))

Outputs
(*.f64 (pow.f64 1 1/3) l)
l
(+.f64 (.f64 (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) l)) (.f64 -1/24 (.f64 (pow.f64 1 1/3) l))) (pow.f64 K 2)) (.f64 (pow.f64 1 1/3) l))
(fma.f64 (.f64 l -1/8) (.f64 K K) l)
(fma.f64 -1/8 (.f64 l (.f64 K K)) l)
(+.f64 (.f64 (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) l)) (.f64 -1/24 (.f64 (pow.f64 1 1/3) l))) (pow.f64 K 2)) (+.f64 (.f64 (pow.f64 1 1/3) l) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (+.f64 (.f64 1/576 (pow.f64 (.f64 1 (pow.f64 l 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 l) 1/3) (-.f64 (.f64 1/384 l) (.f64 1/192 l)))))) (+.f64 (.f64 1/288 (.f64 (pow.f64 1 1/3) l)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/384 l) (*.f64 1/192 l)))))) (pow.f64 K 4))))
(+.f64 (fma.f64 (.f64 l -1/8) (.f64 K K) l) (.f64 (fma.f64 (cbrt.f64 l) (fma.f64 1/576 (cbrt.f64 (.f64 l l)) (.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 l))) (.f64 l -1/384))) (fma.f64 1/288 l (.f64 1/3 (*.f64 l -1/384)))) (pow.f64 K 4)))
(fma.f64 (.f64 l -1/8) (.f64 K K) (fma.f64 (fma.f64 (fma.f64 1/576 (cbrt.f64 (.f64 l l)) (.f64 (cbrt.f64 (/.f64 1 l)) (.f64 (.f64 l -1/384) 2/3))) (cbrt.f64 l) (fma.f64 1/3 (.f64 l -1/384) (.f64 l 1/288))) (pow.f64 K 4) l))
(+.f64 (.f64 (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) l)) (.f64 -1/24 (.f64 (pow.f64 1 1/3) l))) (pow.f64 K 2)) (+.f64 (.f64 (pow.f64 1 1/3) l) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (+.f64 (.f64 1/576 (pow.f64 (.f64 1 (pow.f64 l 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 l) 1/3) (-.f64 (.f64 1/384 l) (.f64 1/192 l)))))) (+.f64 (.f64 1/288 (.f64 (pow.f64 1 1/3) l)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/384 l) (.f64 1/192 l)))))) (pow.f64 K 4)) (.f64 (pow.f64 K 6) (+.f64 (.f64 (pow.f64 (.f64 1 l) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 l) 1/3) (-.f64 (.f64 -1/46080 l) (+.f64 (.f64 -1/12 (-.f64 (.f64 1/384 l) (.f64 1/192 l))) (.f64 -1/13824 l))))) (.f64 -1/36 (.f64 (pow.f64 (/.f64 1 l) 1/3) (-.f64 (.f64 1/384 l) (.f64 1/192 l)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/46080 l) (+.f64 (.f64 -1/12 (-.f64 (.f64 1/384 l) (.f64 1/192 l))) (.f64 -1/13824 l))))) (+.f64 (.f64 -1/36 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/384 l) (.f64 1/192 l)))) (.f64 -1/24 (.f64 (pow.f64 (.f64 1 l) 1/3) (+.f64 (.f64 1/576 (pow.f64 (.f64 1 (pow.f64 l 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 l) 1/3) (-.f64 (.f64 1/384 l) (*.f64 1/192 l))))))))))))))
(+.f64 (fma.f64 (.f64 l -1/8) (.f64 K K) l) (fma.f64 (fma.f64 (cbrt.f64 l) (fma.f64 1/576 (cbrt.f64 (.f64 l l)) (.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 l))) (.f64 l -1/384))) (fma.f64 1/288 l (.f64 1/3 (.f64 l -1/384)))) (pow.f64 K 4) (.f64 (pow.f64 K 6) (fma.f64 (cbrt.f64 l) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 l)) (-.f64 (.f64 l -1/46080) (fma.f64 -1/12 (.f64 l -1/384) (.f64 l -1/13824)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 l)) (.f64 l -1/384)) -1/36)) (+.f64 (+.f64 (.f64 1/3 (-.f64 (.f64 l -1/46080) (fma.f64 -1/12 (.f64 l -1/384) (.f64 l -1/13824)))) (.f64 -1/36 (.f64 l -1/384))) (.f64 (.f64 -1/24 (cbrt.f64 l)) (fma.f64 1/576 (cbrt.f64 (.f64 l l)) (.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 l))) (.f64 l -1/384)))))))))
(+.f64 (fma.f64 (fma.f64 (fma.f64 1/576 (cbrt.f64 (.f64 l l)) (.f64 (cbrt.f64 (/.f64 1 l)) (.f64 (.f64 l -1/384) 2/3))) (cbrt.f64 l) (fma.f64 1/3 (.f64 l -1/384) (.f64 l 1/288))) (pow.f64 K 4) (.f64 (pow.f64 K 6) (fma.f64 (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 l)) (-.f64 (.f64 l -1/46080) (fma.f64 l -1/13824 (.f64 l 1/4608)))) (.f64 (cbrt.f64 (/.f64 1 l)) (.f64 (.f64 l -1/384) -1/36))) (cbrt.f64 l) (fma.f64 1/3 (-.f64 (.f64 l -1/46080) (fma.f64 l -1/13824 (.f64 l 1/4608))) (fma.f64 -1/24 (.f64 (fma.f64 1/576 (cbrt.f64 (.f64 l l)) (.f64 (cbrt.f64 (/.f64 1 l)) (.f64 (.f64 l -1/384) 2/3))) (cbrt.f64 l)) (.f64 (.f64 l -1/384) -1/36)))))) (fma.f64 (.f64 l -1/8) (.f64 K K) l))
(+.f64 (fma.f64 (pow.f64 K 6) (+.f64 (fma.f64 1/3 (+.f64 (.f64 l -11/46080) (.f64 l 1/13824)) (.f64 (.f64 l -1/384) -1/36)) (.f64 (cbrt.f64 l) (+.f64 (.f64 -1/24 (fma.f64 1/576 (cbrt.f64 (.f64 l l)) (.f64 (cbrt.f64 (/.f64 1 l)) (.f64 (.f64 l -1/384) 2/3)))) (.f64 (cbrt.f64 (/.f64 1 l)) (+.f64 (.f64 2/3 (+.f64 (.f64 l -11/46080) (.f64 l 1/13824))) (.f64 (.f64 l -1/384) -1/36)))))) (.f64 (fma.f64 (fma.f64 1/576 (cbrt.f64 (.f64 l l)) (.f64 (cbrt.f64 (/.f64 1 l)) (.f64 (.f64 l -1/384) 2/3))) (cbrt.f64 l) (fma.f64 1/3 (.f64 l -1/384) (.f64 l 1/288))) (pow.f64 K 4))) (fma.f64 -1/8 (.f64 l (*.f64 K K)) l))
(+.f64 (fma.f64 (pow.f64 K 6) (+.f64 (fma.f64 1/3 (fma.f64 l 7/138240 (.f64 l -1/4608)) (.f64 (.f64 l -1/384) -1/36)) (.f64 (cbrt.f64 l) (+.f64 (.f64 -1/24 (fma.f64 1/576 (cbrt.f64 (.f64 l l)) (.f64 (cbrt.f64 (/.f64 1 l)) (.f64 (.f64 l -1/384) 2/3)))) (.f64 (cbrt.f64 (/.f64 1 l)) (+.f64 (.f64 2/3 (fma.f64 l 7/138240 (.f64 l -1/4608))) (.f64 (.f64 l -1/384) -1/36)))))) (.f64 (fma.f64 (fma.f64 1/576 (cbrt.f64 (.f64 l l)) (.f64 (cbrt.f64 (/.f64 1 l)) (.f64 (.f64 l -1/384) 2/3))) (cbrt.f64 l) (fma.f64 1/3 (.f64 l -1/384) (.f64 l 1/288))) (pow.f64 K 4))) (fma.f64 -1/8 (.f64 l (*.f64 K K)) l))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 (*.f64 -1/2 K)) l))
(.f64 l (cos.f64 (.f64 K -1/2)))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 (*.f64 -1/2 K)) l))
(.f64 l (cos.f64 (.f64 K -1/2)))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 (*.f64 -1/2 K)) l))
(.f64 l (cos.f64 (.f64 K -1/2)))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 (*.f64 -1/2 K)) l))
(.f64 l (cos.f64 (.f64 K -1/2)))
(.f64 (pow.f64 1 1/3) (.f64 l (cos.f64 (*.f64 -1/2 K))))
(.f64 l (cos.f64 (.f64 K -1/2)))
(.f64 (pow.f64 1 1/3) (.f64 l (cos.f64 (*.f64 -1/2 K))))
(.f64 l (cos.f64 (.f64 K -1/2)))
(.f64 (pow.f64 1 1/3) (.f64 l (cos.f64 (*.f64 -1/2 K))))
(.f64 l (cos.f64 (.f64 K -1/2)))
(.f64 (pow.f64 1 1/3) (.f64 l (cos.f64 (*.f64 -1/2 K))))
(.f64 l (cos.f64 (.f64 K -1/2)))
(pow.f64 l 1/3)
(cbrt.f64 l)
(+.f64 (.f64 -1/24 (.f64 (pow.f64 (*.f64 1 l) 1/3) (pow.f64 K 2))) (pow.f64 l 1/3))
(fma.f64 -1/24 (.f64 (.f64 K K) (cbrt.f64 l)) (cbrt.f64 l))
(fma.f64 (.f64 -1/24 (cbrt.f64 l)) (.f64 K K) (cbrt.f64 l))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 (.f64 1 l) 1/3) (pow.f64 K 2))) (+.f64 (pow.f64 l 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 l 2)) 1/3) (.f64 (pow.f64 K 4) (-.f64 (.f64 1/384 l) (.f64 1/192 l)))))))
(+.f64 (fma.f64 -1/24 (.f64 (.f64 K K) (cbrt.f64 l)) (cbrt.f64 l)) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 l l))) (.f64 (*.f64 l -1/384) (pow.f64 K 4)))))
(fma.f64 -1/24 (.f64 K (.f64 K (cbrt.f64 l))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 l l))) (.f64 l (.f64 -1/384 (pow.f64 K 4)))) (cbrt.f64 l)))
(fma.f64 -1/24 (.f64 (.f64 K K) (cbrt.f64 l)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 l) l)) (.f64 (*.f64 l -1/384) (pow.f64 K 4))) (cbrt.f64 l)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 l 2)) 1/3) (.f64 (pow.f64 K 6) (-.f64 (.f64 -1/46080 l) (+.f64 (.f64 -1/12 (-.f64 (.f64 1/384 l) (.f64 1/192 l))) (.f64 -1/13824 l)))))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 (.f64 1 l) 1/3) (pow.f64 K 2))) (+.f64 (pow.f64 l 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 l 2)) 1/3) (.f64 (pow.f64 K 4) (-.f64 (.f64 1/384 l) (.f64 1/192 l))))))))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 K -1/2)) J)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 K -1/2)) J)))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J)))) 1)
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(pow.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J)) 1)
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(pow.f64 (pow.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J)) 2) 1/2)
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(pow.f64 (pow.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J)) 3) 1/3)
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(pow.f64 (cbrt.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J))) 3)
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(pow.f64 (sqrt.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J))) 2)
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(pow.f64 (exp.f64 1) (log.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 l (.f64 (cos.f64 (.f64 K -1/2)) J)))) 2)) (cbrt.f64 (log.f64 (.f64 l (.f64 (cos.f64 (.f64 K -1/2)) J)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K -1/2))))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K -1/2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 l (.f64 J (cos.f64 (.f64 K -1/2)))))) 2)) (cbrt.f64 (log.f64 (.f64 l (.f64 J (cos.f64 (.f64 K -1/2)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 l (.f64 (cos.f64 (.f64 K -1/2)) J))))) (sqrt.f64 (log.f64 (.f64 l (.f64 (cos.f64 (.f64 K -1/2)) J)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K -1/2)))))) (sqrt.f64 (log.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K -1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 l (.f64 J (cos.f64 (.f64 K -1/2))))))) (sqrt.f64 (log.f64 (.f64 l (.f64 J (cos.f64 (.f64 K -1/2)))))))
(sqrt.f64 (pow.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J)) 2))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(log.f64 (pow.f64 (exp.f64 l) (.f64 (cos.f64 (.f64 K -1/2)) J)))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J)))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(cbrt.f64 (pow.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J)) 3))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(expm1.f64 (log1p.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(log1p.f64 (expm1.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(exp.f64 (log.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 l (.f64 (cos.f64 (.f64 K -1/2)) J))) 1))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J)))) 1/3))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 l (.f64 (cos.f64 (.f64 K -1/2)) J)))) 3))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 l (.f64 (cos.f64 (.f64 K -1/2)) J)))) 2))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) J))) 1) 1))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 l (cos.f64 (*.f64 K -1/2)))) 1) (log.f64 J)))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(exp.f64 (+.f64 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) (*.f64 (log.f64 J) 1)))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) 1) (.f64 (log.f64 J) 1)))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 J) 1) (log.f64 (.f64 l (cos.f64 (*.f64 K -1/2))))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(exp.f64 (+.f64 (log.f64 J) (.f64 (log.f64 (.f64 l (cos.f64 (*.f64 K -1/2)))) 1)))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 J) 1) (.f64 (log.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) 1)))
(.f64 (.f64 l J) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 J (cos.f64 (*.f64 K -1/2))))

localize4.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (+.f64 J J) J) (.f64 (+.f64 J J) J))
✓	9.2b	(.f64 l (+.f64 (.f64 (+.f64 J J) J) (*.f64 (+.f64 J J) J)))

Compiler

Compiled 38 to 8 computations (78.9% saved)

series5.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(.f64 l (+.f64 (.f64 (+.f64 J J) J) (*.f64 (+.f64 J J) J)))
1.0ms	J	@	0	(.f64 l (+.f64 (.f64 (+.f64 J J) J) (*.f64 (+.f64 J J) J)))
1.0ms	l	@	inf	(.f64 l (+.f64 (.f64 (+.f64 J J) J) (*.f64 (+.f64 J J) J)))
1.0ms	J	@	inf	(.f64 l (+.f64 (.f64 (+.f64 J J) J) (*.f64 (+.f64 J J) J)))
1.0ms	J	@	inf	(+.f64 (.f64 (+.f64 J J) J) (.f64 (+.f64 J J) J))

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

422×	`pow1_binary64`
409×	`add-sqr-sqrt_binary64`
397×	`add-log-exp_binary64`
396×	`log1p-expm1-u_binary64`
396×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	26
1	162	2
2	2786	2

Stop Event

1×	node limit

Counts

2 → 2

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

simplify148.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
637×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	326
1	20	326
2	41	326
3	91	326
4	257	326
5	840	326
6	1059	326
7	1473	326
8	1573	326
9	1706	326
10	1878	326
11	2123	326
12	2436	326
13	2808	326
14	3264	326
15	3851	326
16	4563	326
17	5425	326
18	5849	326
19	6163	326
20	6469	326
21	6543	326
22	6577	326

Stop Event

1×	node limit

Counts

38 → 11

Calls

Call 1

Inputs
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(*.f64 4 (pow.f64 J 2))
(*.f64 4 (pow.f64 J 2))
(*.f64 4 (pow.f64 J 2))
(*.f64 4 (pow.f64 J 2))
(*.f64 4 (pow.f64 J 2))
(*.f64 4 (pow.f64 J 2))
(*.f64 4 (pow.f64 J 2))
(*.f64 4 (pow.f64 J 2))
(*.f64 4 (pow.f64 J 2))
(*.f64 4 (pow.f64 J 2))
(*.f64 4 (pow.f64 J 2))
(*.f64 4 (pow.f64 J 2))
0
0

Outputs
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(.f64 4 (.f64 l (pow.f64 J 2)))
(.f64 4 (.f64 l (*.f64 J J)))
(.f64 l (.f64 (*.f64 4 J) J))
(.f64 J (.f64 4 (*.f64 l J)))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 J (*.f64 4 J)))
(*.f64 4 (pow.f64 J 2))
(.f64 4 (.f64 J J))
(.f64 (.f64 4 J) J)
(.f64 J (.f64 4 J))
(*.f64 4 (pow.f64 J 2))
(.f64 4 (.f64 J J))
(.f64 (.f64 4 J) J)
(.f64 J (.f64 4 J))
(*.f64 4 (pow.f64 J 2))
(.f64 4 (.f64 J J))
(.f64 (.f64 4 J) J)
(.f64 J (.f64 4 J))
(*.f64 4 (pow.f64 J 2))
(.f64 4 (.f64 J J))
(.f64 (.f64 4 J) J)
(.f64 J (.f64 4 J))
(*.f64 4 (pow.f64 J 2))
(.f64 4 (.f64 J J))
(.f64 (.f64 4 J) J)
(.f64 J (.f64 4 J))
(*.f64 4 (pow.f64 J 2))
(.f64 4 (.f64 J J))
(.f64 (.f64 4 J) J)
(.f64 J (.f64 4 J))
(*.f64 4 (pow.f64 J 2))
(.f64 4 (.f64 J J))
(.f64 (.f64 4 J) J)
(.f64 J (.f64 4 J))
(*.f64 4 (pow.f64 J 2))
(.f64 4 (.f64 J J))
(.f64 (.f64 4 J) J)
(.f64 J (.f64 4 J))
(*.f64 4 (pow.f64 J 2))
(.f64 4 (.f64 J J))
(.f64 (.f64 4 J) J)
(.f64 J (.f64 4 J))
(*.f64 4 (pow.f64 J 2))
(.f64 4 (.f64 J J))
(.f64 (.f64 4 J) J)
(.f64 J (.f64 4 J))
(*.f64 4 (pow.f64 J 2))
(.f64 4 (.f64 J J))
(.f64 (.f64 4 J) J)
(.f64 J (.f64 4 J))
(*.f64 4 (pow.f64 J 2))
(.f64 4 (.f64 J J))
(.f64 (.f64 4 J) J)
(.f64 J (.f64 4 J))
0
0

localize35.0ms (0.3%)

Compiler: Compiled 19 to 7 computations (63.2% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 20 computations (44.4% saved)

series39.0ms (0.3%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
34.0ms	l	@	0	(.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))
1.0ms	l	@	inf	(.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))
1.0ms	K	@	0	(.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))
0.0ms	K	@	inf	(.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))
0.0ms	K	@	-inf	(.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

537×	`prod-diff_binary64`
510×	`log-prod_binary64`
323×	`pow-prod-down_binary64`
262×	`pow2_binary64`
229×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	212	24
2	2835	8

Stop Event

1×	node limit

Counts

2 → 226

Calls

Call 1

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

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

simplify35.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

43×	`*-commutative_binary64`
36×	`sqr-pow_binary64`
28×	`fma-udef_binary64`
19×	`associate-r_binary64`
17×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	276	1033
1	877	1033

Stop Event

1×

unsound

Counts

286 → 147

Calls

Call 1

Inputs
(*.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))
(.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 (.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)) (.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 l l)
(+.f64 0 (+.f64 l l))
(+.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) (.f64 (cos.f64 (.f64 K 1/2)) l))
(+.f64 (.f64 l (+.f64 l l)) (.f64 l (+.f64 l l)))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) (+.f64 l l)) (.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) (+.f64 l l)))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 1) (.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 1))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) J) (.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) J))
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 K 1/2)) J)) (.f64 l (.f64 (cos.f64 (.f64 K 1/2)) J)))
(+.f64 (.f64 (+.f64 l l) l) (.f64 (+.f64 l l) l))
(+.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 K 1/2)) l)) (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 K 1/2)) l)))
(+.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l)) (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l)))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) l) (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) l))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 l l))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 l l)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 l l)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 l 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 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 3) (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 2) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 2) (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 2) (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 2)) (-.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) (.f64 (cos.f64 (.f64 K 1/2)) l)))
(/.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 K 1/2))) (fma.f64 l l 0))
(/.f64 (.f64 0 (cos.f64 (.f64 K 1/2))) 0)
(/.f64 (.f64 (+.f64 l l) (.f64 2 (pow.f64 l 3))) (fma.f64 l l 0))
(/.f64 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 (pow.f64 l 3))) (fma.f64 l l 0))
(/.f64 (.f64 (cos.f64 (.f64 K 1/2)) 0) 0)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (.f64 2 (pow.f64 l 3))) (fma.f64 l l 0))
(/.f64 (.f64 (.f64 (cos.f64 (*.f64 K 1/2)) J) 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) 4)
(pow.f64 (+.f64 l l) 9)
(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) 6)
(pow.f64 (+.f64 l l) 2/3)
(pow.f64 (+.f64 l l) 1/6)
(pow.f64 (+.f64 l l) 1/9)
(pow.f64 (+.f64 l l) 5/2)
(pow.f64 (+.f64 l l) 5)
(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 (/.f64 (fma.f64 l l 0) (*.f64 2 (pow.f64 l 3))) -1)
(sqrt.f64 (+.f64 l l))
(fabs.f64 (+.f64 l l))
(log.f64 (exp.f64 (+.f64 l 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))
(hypot.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) l)) (sqrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) 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)) 2))
(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)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 2))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 3))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 1/3))
(fma.f64 (cos.f64 (.f64 K 1/2)) l (.f64 (cos.f64 (*.f64 K 1/2)) l))
(fma.f64 l (cos.f64 (.f64 K 1/2)) (.f64 (cos.f64 (*.f64 K 1/2)) l))
(fma.f64 l (+.f64 l l) (*.f64 l (+.f64 l l)))
(fma.f64 l 1 l)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) J) (.f64 l (.f64 (cos.f64 (*.f64 K 1/2)) J)))
(fma.f64 (+.f64 l l) l (*.f64 (+.f64 l l) l))
(fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 K 1/2)) l) (.f64 (+.f64 l l) (.f64 (cos.f64 (*.f64 K 1/2)) l)))
(fma.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l) (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)))
(fma.f64 1 l l)
(fma.f64 1 (.f64 (cos.f64 (.f64 K 1/2)) l) (.f64 (cos.f64 (.f64 K 1/2)) l))
(fma.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K)))) (.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) l) (.f64 (cos.f64 (*.f64 K 1/2)) l))
(fma.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 l) 2) l)
(fma.f64 (pow.f64 (cbrt.f64 l) 2) (cbrt.f64 l) l)
(fma.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (cos.f64 (.f64 K 1/2))) (.f64 (cos.f64 (.f64 K 1/2)) l))
(fma.f64 (sqrt.f64 (cos.f64 (.f64 K 1/2))) (.f64 (sqrt.f64 (cos.f64 (.f64 K 1/2))) l) (.f64 (cos.f64 (*.f64 K 1/2)) l))
(fma.f64 (sqrt.f64 l) (sqrt.f64 l) l)
(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (cos.f64 (.f64 K 1/2))) (.f64 (cos.f64 (.f64 K 1/2)) l))
(fma.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) (+.f64 l l) (.f64 (.f64 (cos.f64 (*.f64 K 1/2)) l) (+.f64 l l)))
(fma.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) J (.f64 (.f64 (cos.f64 (*.f64 K 1/2)) l) J))
(fma.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 1 (.f64 (.f64 (cos.f64 (*.f64 K 1/2)) l) 1))
(fma.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) l (.f64 (.f64 (cos.f64 (*.f64 K 1/2)) J) l))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) l)) 2) (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) l)) (.f64 (cos.f64 (.f64 K 1/2)) l))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) l)) (sqrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) l)) (.f64 (cos.f64 (.f64 K 1/2)) l))
(fma.f64 (.f64 l (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) (cbrt.f64 (cos.f64 (.f64 K 1/2))) (.f64 (cos.f64 (*.f64 K 1/2)) l))
(fma.f64 (.f64 l (sqrt.f64 (cos.f64 (.f64 K 1/2)))) (sqrt.f64 (cos.f64 (.f64 K 1/2))) (.f64 (cos.f64 (*.f64 K 1/2)) l))
(fma.f64 (.f64 (cos.f64 (.f64 K 1/2)) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l) (.f64 (cos.f64 (.f64 K 1/2)) l))
(fma.f64 (.f64 (cos.f64 (.f64 K 1/2)) (sqrt.f64 l)) (sqrt.f64 l) (.f64 (cos.f64 (.f64 K 1/2)) l))
(+.f64 l l)
(+.f64 0 (+.f64 l l))
(+.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) (.f64 (cos.f64 (.f64 K 1/2)) l))
(+.f64 (.f64 l (+.f64 l l)) (.f64 l (+.f64 l l)))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) (+.f64 l l)) (.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) (+.f64 l l)))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 1) (.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 1))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) J) (.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) J))
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 K 1/2)) J)) (.f64 l (.f64 (cos.f64 (.f64 K 1/2)) J)))
(+.f64 (.f64 (+.f64 l l) l) (.f64 (+.f64 l l) l))
(+.f64 (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 K 1/2)) l)) (.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 K 1/2)) l)))
(+.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l)) (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l)))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) l) (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) l))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 l l))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 l l)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 l l)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 l 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 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 3) (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 2) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 2) (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 2) (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 2)) (-.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) (.f64 (cos.f64 (.f64 K 1/2)) l)))
(/.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 K 1/2))) (fma.f64 l l 0))
(/.f64 (.f64 0 (cos.f64 (.f64 K 1/2))) 0)
(/.f64 (.f64 (+.f64 l l) (.f64 2 (pow.f64 l 3))) (fma.f64 l l 0))
(/.f64 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 (pow.f64 l 3))) (fma.f64 l l 0))
(/.f64 (.f64 (cos.f64 (.f64 K 1/2)) 0) 0)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (.f64 2 (pow.f64 l 3))) (fma.f64 l l 0))
(/.f64 (.f64 (.f64 (cos.f64 (*.f64 K 1/2)) J) 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) 4)
(pow.f64 (+.f64 l l) 9)
(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) 6)
(pow.f64 (+.f64 l l) 2/3)
(pow.f64 (+.f64 l l) 1/6)
(pow.f64 (+.f64 l l) 1/9)
(pow.f64 (+.f64 l l) 5/2)
(pow.f64 (+.f64 l l) 5)
(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 (/.f64 (fma.f64 l l 0) (*.f64 2 (pow.f64 l 3))) -1)
(sqrt.f64 (+.f64 l l))
(fabs.f64 (+.f64 l l))
(log.f64 (exp.f64 (+.f64 l 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))
(hypot.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) l)) (sqrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) 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)) 2))
(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)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 2))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 3))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 l l)) 1) 1/3))
(fma.f64 (cos.f64 (.f64 K 1/2)) l (.f64 (cos.f64 (*.f64 K 1/2)) l))
(fma.f64 l (cos.f64 (.f64 K 1/2)) (.f64 (cos.f64 (*.f64 K 1/2)) l))
(fma.f64 l (+.f64 l l) (*.f64 l (+.f64 l l)))
(fma.f64 l 1 l)
(fma.f64 l (.f64 (cos.f64 (.f64 K 1/2)) J) (.f64 l (.f64 (cos.f64 (*.f64 K 1/2)) J)))
(fma.f64 (+.f64 l l) l (*.f64 (+.f64 l l) l))
(fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 K 1/2)) l) (.f64 (+.f64 l l) (.f64 (cos.f64 (*.f64 K 1/2)) l)))
(fma.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l) (.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) l)))
(fma.f64 1 l l)
(fma.f64 1 (.f64 (cos.f64 (.f64 K 1/2)) l) (.f64 (cos.f64 (.f64 K 1/2)) l))
(fma.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K)))) (.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) l) (.f64 (cos.f64 (*.f64 K 1/2)) l))
(fma.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 l) 2) l)
(fma.f64 (pow.f64 (cbrt.f64 l) 2) (cbrt.f64 l) l)
(fma.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (cos.f64 (.f64 K 1/2))) (.f64 (cos.f64 (.f64 K 1/2)) l))
(fma.f64 (sqrt.f64 (cos.f64 (.f64 K 1/2))) (.f64 (sqrt.f64 (cos.f64 (.f64 K 1/2))) l) (.f64 (cos.f64 (*.f64 K 1/2)) l))
(fma.f64 (sqrt.f64 l) (sqrt.f64 l) l)
(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (cos.f64 (.f64 K 1/2))) (.f64 (cos.f64 (.f64 K 1/2)) l))
(fma.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) (+.f64 l l) (.f64 (.f64 (cos.f64 (*.f64 K 1/2)) l) (+.f64 l l)))
(fma.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) J (.f64 (.f64 (cos.f64 (*.f64 K 1/2)) l) J))
(fma.f64 (.f64 (cos.f64 (.f64 K 1/2)) l) 1 (.f64 (.f64 (cos.f64 (*.f64 K 1/2)) l) 1))
(fma.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) l (.f64 (.f64 (cos.f64 (*.f64 K 1/2)) J) l))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) l)) 2) (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) l)) (.f64 (cos.f64 (.f64 K 1/2)) l))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) l)) (sqrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) l)) (.f64 (cos.f64 (.f64 K 1/2)) l))
(fma.f64 (.f64 l (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) (cbrt.f64 (cos.f64 (.f64 K 1/2))) (.f64 (cos.f64 (*.f64 K 1/2)) l))
(fma.f64 (.f64 l (sqrt.f64 (cos.f64 (.f64 K 1/2)))) (sqrt.f64 (cos.f64 (.f64 K 1/2))) (.f64 (cos.f64 (*.f64 K 1/2)) l))
(fma.f64 (.f64 (cos.f64 (.f64 K 1/2)) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l) (.f64 (cos.f64 (.f64 K 1/2)) l))
(fma.f64 (.f64 (cos.f64 (.f64 K 1/2)) (sqrt.f64 l)) (sqrt.f64 l) (.f64 (cos.f64 (.f64 K 1/2)) l))

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

eval156.0ms (1.4%)

Compiler: Compiled 7000 to 4770 computations (31.9% saved)

prune140.0ms (1.2%)

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	358	7	365
Fresh	4	6	10
Picked	0	1	1
Done	2	9	11
Total	364	23	387

Error

Counts

387 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	9.9b	(fma.f64 (+.f64 l l) J U)
✓	9.9b	(+.f64 (*.f64 (+.f64 l l) J) U)
	24.3b	(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 (.f64 K K) -1/4))) U)
✓	0.9b	(+.f64 (.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2))) U)
✓	0.1b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 K 1/2)))) U)
✓	1.3b	(+.f64 (.f64 2 (.f64 J (pow.f64 (cbrt.f64 (.f64 l (cos.f64 (.f64 K -1/2)))) 3))) U)
	16.0b	(+.f64 (.f64 2 (.f64 J (.f64 (.f64 l (sqrt.f64 (cos.f64 (.f64 K -1/2)))) (sqrt.f64 (cos.f64 (.f64 K -1/2)))))) U)
✓	52.9b	(.f64 (.f64 J 2) (sinh.f64 l))
	44.3b	(.f64 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
✓	44.2b	(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J))))
✓	43.5b	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
	53.0b	(*.f64 l (+.f64 J J))
	59.7b	(*.f64 l (+.f64 0 J))
	62.2b	(.f64 l (.f64 (*.f64 4 J) J))
✓	44.3b	(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 J J)))
✓	57.9b	(*.f64 l (fabs.f64 (+.f64 J J)))
	54.9b	(.f64 J (/.f64 (cos.f64 (.f64 K 1/2)) (/.f64 (fma.f64 l l 0) (*.f64 2 (pow.f64 l 3)))))
	61.7b	(.f64 J (+.f64 (.f64 (+.f64 l l) l) (*.f64 (+.f64 l l) l)))
✓	44.3b	(.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l)))
	61.9b	(.f64 J (.f64 J (*.f64 4 l)))
	55.5b	(*.f64 J (fabs.f64 (+.f64 l l)))
	19.2b	U
	61.9b	0

Compiler

Compiled 310 to 226 computations (27.1% saved)

regimes180.0ms (1.6%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

10 calls:

35.0ms	(cos.f64 (/.f64 K 2))
32.0ms	(/.f64 K 2)
20.0ms	J
18.0ms	K
18.0ms	U

Results

Error	Segments	Branch
0.1b	1	`J`
0.1b	1	`l`
0.1b	1	`K`
0.1b	1	`U`
0.1b	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)`
0.1b	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))`
0.1b	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
0.1b	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0.1b	1	`(cos.f64 (/.f64 K 2))`
0.1b	1	`(/.f64 K 2)`

Compiler

Compiled 513 to 304 computations (40.7% saved)

regimes116.0ms (1%)

Counts

26 → 1

Calls

Call 1

Inputs
0
U
(*.f64 l 0)
(*.f64 l (+.f64 0 J))
(*.f64 l (+.f64 J J))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 (*.f64 4 J) J))
(+.f64 (*.f64 (+.f64 l l) J) U)
(.f64 J (+.f64 (.f64 (+.f64 l l) l) (*.f64 (+.f64 l l) l)))
(.f64 l (+.f64 (.f64 (+.f64 J J) J) (*.f64 (+.f64 J J) J)))
(+.f64 U (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))))
(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 (.f64 K K) -1/4))) U)
(/.f64 (-.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U U)) (-.f64 (.f64 (+.f64 l l) J) U))
(*.f64 J (fabs.f64 (+.f64 l l)))
(*.f64 l (fabs.f64 (+.f64 J J)))
(.f64 (.f64 J 2) (sinh.f64 l))
(fma.f64 (+.f64 l l) J U)
(fma.f64 J (.f64 4 (.f64 l l)) U)
(.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l)))
(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 J J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(+.f64 (.f64 2 (.f64 J (*.f64 l (cos.f64 (/.f64 K -2))))) U)
(+.f64 (.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2))) U)
(fma.f64 J (*.f64 2 (sinh.f64 l)) U)
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))
(fma.f64 (+.f64 l l) (*.f64 J (cos.f64 (/.f64 K 2))) U)

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

Calls

6 calls:

43.0ms	(cos.f64 (/.f64 K 2))
17.0ms	K
13.0ms	(/.f64 K 2)
13.0ms	l
12.0ms	U

Results

Error	Segments	Branch
0.9b	1	`J`
0.9b	1	`l`
0.9b	1	`K`
0.9b	1	`U`
0.9b	1	`(cos.f64 (/.f64 K 2))`
0.9b	1	`(/.f64 K 2)`

Compiler

Compiled 261 to 137 computations (47.5% saved)

regimes107.0ms (1%)

Counts

25 → 1

Calls

Call 1

Inputs
0
U
(*.f64 l 0)
(*.f64 l (+.f64 0 J))
(*.f64 l (+.f64 J J))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 (*.f64 4 J) J))
(+.f64 (*.f64 (+.f64 l l) J) U)
(.f64 J (+.f64 (.f64 (+.f64 l l) l) (*.f64 (+.f64 l l) l)))
(.f64 l (+.f64 (.f64 (+.f64 J J) J) (*.f64 (+.f64 J J) J)))
(+.f64 U (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))))
(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 (.f64 K K) -1/4))) U)
(/.f64 (-.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U U)) (-.f64 (.f64 (+.f64 l l) J) U))
(*.f64 J (fabs.f64 (+.f64 l l)))
(*.f64 l (fabs.f64 (+.f64 J J)))
(.f64 (.f64 J 2) (sinh.f64 l))
(fma.f64 (+.f64 l l) J U)
(fma.f64 J (.f64 4 (.f64 l l)) U)
(.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l)))
(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 J J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(+.f64 (.f64 2 (.f64 J (*.f64 l (cos.f64 (/.f64 K -2))))) U)
(+.f64 (.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2))) U)
(fma.f64 J (*.f64 2 (sinh.f64 l)) U)
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 2 (sinh.f64 l))))

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

Calls

6 calls:

41.0ms	(/.f64 K 2)
12.0ms	l
12.0ms	U
12.0ms	K
11.0ms	J

Results

Error	Segments	Branch
0.9b	1	`J`
0.9b	1	`l`
0.9b	1	`K`
0.9b	1	`U`
0.9b	1	`(cos.f64 (/.f64 K 2))`
0.9b	1	`(/.f64 K 2)`

Compiler

Compiled 250 to 132 computations (47.2% saved)

regimes52.0ms (0.5%)

Counts

22 → 1

Calls

Call 1

Inputs
0
U
(*.f64 l 0)
(*.f64 l (+.f64 0 J))
(*.f64 l (+.f64 J J))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 (*.f64 4 J) J))
(+.f64 (*.f64 (+.f64 l l) J) U)
(.f64 J (+.f64 (.f64 (+.f64 l l) l) (*.f64 (+.f64 l l) l)))
(.f64 l (+.f64 (.f64 (+.f64 J J) J) (*.f64 (+.f64 J J) J)))
(+.f64 U (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))))
(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 (.f64 K K) -1/4))) U)
(/.f64 (-.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U U)) (-.f64 (.f64 (+.f64 l l) J) U))
(*.f64 J (fabs.f64 (+.f64 l l)))
(*.f64 l (fabs.f64 (+.f64 J J)))
(.f64 (.f64 J 2) (sinh.f64 l))
(fma.f64 (+.f64 l l) J U)
(fma.f64 J (.f64 4 (.f64 l l)) U)
(.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l)))
(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 J J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(+.f64 (.f64 2 (.f64 J (*.f64 l (cos.f64 (/.f64 K -2))))) U)

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

Calls

4 calls:

12.0ms	J
12.0ms	l
10.0ms	U
10.0ms	K

Results

Error	Segments	Branch
0.9b	1	`J`
0.9b	1	`l`
0.9b	1	`K`
0.9b	1	`U`

Compiler

Compiled 205 to 103 computations (49.8% saved)

regimes185.0ms (1.6%)

Counts

21 → 5

Calls

Call 1

Inputs
0
U
(*.f64 l 0)
(*.f64 l (+.f64 0 J))
(*.f64 l (+.f64 J J))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 (*.f64 4 J) J))
(+.f64 (*.f64 (+.f64 l l) J) U)
(.f64 J (+.f64 (.f64 (+.f64 l l) l) (*.f64 (+.f64 l l) l)))
(.f64 l (+.f64 (.f64 (+.f64 J J) J) (*.f64 (+.f64 J J) J)))
(+.f64 U (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))))
(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 (.f64 K K) -1/4))) U)
(/.f64 (-.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U U)) (-.f64 (.f64 (+.f64 l l) J) U))
(*.f64 J (fabs.f64 (+.f64 l l)))
(*.f64 l (fabs.f64 (+.f64 J J)))
(.f64 (.f64 J 2) (sinh.f64 l))
(fma.f64 (+.f64 l l) J U)
(fma.f64 J (.f64 4 (.f64 l l)) U)
(.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l)))
(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 J J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))

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

Calls

4 calls:

108.0ms	K
52.0ms	U
11.0ms	J
10.0ms	l

Results

Error	Segments	Branch
9.9b	1	`J`
9.9b	1	`l`
8.4b	3	`K`
7.4b	5	`U`

Compiler

Compiled 193 to 95 computations (50.8% saved)

bsearch215.0ms (1.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
6.0ms	3.0173929234820225e-145	3.1316908006354044e-145
68.0ms	7.167588782340133e-258	7.258001899801775e-246
59.0ms	-1.76694158286457e-212	-7.65744964268327e-216
82.0ms	-4.134457183913689e-187	-1.967453164341487e-189

Results

147.0ms	187×	body	1024	valid
31.0ms	101×	body	512	valid
18.0ms	120×	body	256	valid
7.0ms	8×	body	2048	valid

Compiler

Compiled 727 to 528 computations (27.4% saved)

regimes162.0ms (1.4%)

Counts

20 → 5

Calls

Call 1

Inputs
0
U
(*.f64 l 0)
(*.f64 l (+.f64 0 J))
(*.f64 l (+.f64 J J))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 (*.f64 4 J) J))
(+.f64 (*.f64 (+.f64 l l) J) U)
(.f64 J (+.f64 (.f64 (+.f64 l l) l) (*.f64 (+.f64 l l) l)))
(.f64 l (+.f64 (.f64 (+.f64 J J) J) (*.f64 (+.f64 J J) J)))
(+.f64 U (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))))
(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 (.f64 K K) -1/4))) U)
(/.f64 (-.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U U)) (-.f64 (.f64 (+.f64 l l) J) U))
(*.f64 J (fabs.f64 (+.f64 l l)))
(*.f64 l (fabs.f64 (+.f64 J J)))
(.f64 (.f64 J 2) (sinh.f64 l))
(fma.f64 (+.f64 l l) J U)
(fma.f64 J (.f64 4 (.f64 l l)) U)
(.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l)))
(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 J J)))

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

Calls

4 calls:

91.0ms	U
30.0ms	K
28.0ms	J
9.0ms	l

Results

Error	Segments	Branch
9.9b	1	`J`
9.9b	1	`l`
8.4b	3	`K`
7.4b	5	`U`

Compiler

Compiled 183 to 88 computations (51.9% saved)

bsearch187.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
5.0ms	3.0173929234820225e-145	3.1316908006354044e-145
76.0ms	7.167588782340133e-258	7.258001899801775e-246
61.0ms	-1.76694158286457e-212	-7.65744964268327e-216
44.0ms	-4.134457183913689e-187	-1.967453164341487e-189

Results

118.0ms	186×	body	1024	valid
34.0ms	107×	body	512	valid
18.0ms	117×	body	256	valid
10.0ms	6×	body	2048	valid

Compiler

Compiled 727 to 513 computations (29.4% saved)

regimes102.0ms (0.9%)

Counts

19 → 5

Calls

Call 1

Inputs
0
U
(*.f64 l 0)
(*.f64 l (+.f64 0 J))
(*.f64 l (+.f64 J J))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 (*.f64 4 J) J))
(+.f64 (*.f64 (+.f64 l l) J) U)
(.f64 J (+.f64 (.f64 (+.f64 l l) l) (*.f64 (+.f64 l l) l)))
(.f64 l (+.f64 (.f64 (+.f64 J J) J) (*.f64 (+.f64 J J) J)))
(+.f64 U (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))))
(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 (.f64 K K) -1/4))) U)
(/.f64 (-.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U U)) (-.f64 (.f64 (+.f64 l l) J) U))
(*.f64 J (fabs.f64 (+.f64 l l)))
(*.f64 l (fabs.f64 (+.f64 J J)))
(.f64 (.f64 J 2) (sinh.f64 l))
(fma.f64 (+.f64 l l) J U)
(fma.f64 J (.f64 4 (.f64 l l)) U)
(.f64 J (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 l l)))

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

Calls

4 calls:

46.0ms	U
28.0ms	K
14.0ms	l
10.0ms	J

Results

Error	Segments	Branch
9.9b	1	`J`
9.9b	1	`l`
8.4b	3	`K`
7.4b	5	`U`

Compiler

Compiled 173 to 83 computations (52% saved)

bsearch302.0ms (2.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
4.0ms	3.0173929234820225e-145	3.1316908006354044e-145
126.0ms	7.167588782340133e-258	7.258001899801775e-246
81.0ms	-1.76694158286457e-212	-7.65744964268327e-216
90.0ms	-4.134457183913689e-187	-1.967453164341487e-189

Results

197.0ms	193×	body	1024	valid
60.0ms	96×	body	512	valid
20.0ms	121×	body	256	valid
18.0ms	6×	body	2048	valid

Compiler

Compiled 727 to 513 computations (29.4% saved)

regimes41.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

Inputs
0
U
(*.f64 l 0)
(*.f64 l (+.f64 0 J))
(*.f64 l (+.f64 J J))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 (*.f64 4 J) J))
(+.f64 (*.f64 (+.f64 l l) J) U)
(.f64 J (+.f64 (.f64 (+.f64 l l) l) (*.f64 (+.f64 l l) l)))
(.f64 l (+.f64 (.f64 (+.f64 J J) J) (*.f64 (+.f64 J J) J)))
(+.f64 U (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))))
(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 (.f64 K K) -1/4))) U)
(/.f64 (-.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U U)) (-.f64 (.f64 (+.f64 l l) J) U))
(*.f64 J (fabs.f64 (+.f64 l l)))
(*.f64 l (fabs.f64 (+.f64 J J)))
(.f64 (.f64 J 2) (sinh.f64 l))
(fma.f64 (+.f64 l l) J U)
(fma.f64 J (.f64 4 (.f64 l l)) U)

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

Calls

4 calls:

10.0ms	J
10.0ms	U
9.0ms	K
8.0ms	l

Results

Error	Segments	Branch
9.9b	1	`J`
9.9b	1	`l`
9.9b	1	`K`
9.9b	1	`U`

Compiler

Compiled 163 to 78 computations (52.1% saved)

regimes39.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

Inputs
0
U
(*.f64 l 0)
(*.f64 l (+.f64 0 J))
(*.f64 l (+.f64 J J))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 (*.f64 4 J) J))
(+.f64 (*.f64 (+.f64 l l) J) U)
(.f64 J (+.f64 (.f64 (+.f64 l l) l) (*.f64 (+.f64 l l) l)))
(.f64 l (+.f64 (.f64 (+.f64 J J) J) (*.f64 (+.f64 J J) J)))
(+.f64 U (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))))
(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 (.f64 K K) -1/4))) U)
(/.f64 (-.f64 (.f64 (+.f64 l l) (.f64 J J)) (.f64 U U)) (-.f64 (.f64 (+.f64 l l) J) U))
(*.f64 J (fabs.f64 (+.f64 l l)))
(*.f64 l (fabs.f64 (+.f64 J J)))
(.f64 (.f64 J 2) (sinh.f64 l))

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

Calls

4 calls:

9.0ms	U
9.0ms	l
9.0ms	J
8.0ms	K

Results

Error	Segments	Branch
9.9b	1	`J`
9.9b	1	`l`
9.9b	1	`K`
9.9b	1	`U`

Compiler

Compiled 149 to 73 computations (51% saved)

regimes70.0ms (0.6%)

Counts

7 → 3

Calls

Call 1

Inputs
0
U
(*.f64 l 0)
(*.f64 l (+.f64 0 J))
(*.f64 l (+.f64 J J))
(.f64 J (.f64 J (*.f64 4 l)))
(.f64 l (.f64 (*.f64 4 J) J))

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

Calls

4 calls:

48.0ms	U
11.0ms	J
5.0ms	K
4.0ms	l

Results

Error	Segments	Branch
17.8b	2	`J`
19.2b	1	`l`
19.2b	1	`K`
17.8b	3	`U`

Compiler

Compiled 53 to 36 computations (32.1% saved)

bsearch145.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
70.0ms	1.8037215304585523e-166	4.3042094049933676e-156
75.0ms	7.258001899801775e-246	4.387024724717857e-239

Results

76.0ms	120×	body	1024	valid
38.0ms	100×	body	256	valid
23.0ms	79×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 330 to 248 computations (24.8% saved)

regimes18.0ms (0.2%)

Accuracy

Total -43.0b remaining (-223.9%)

Threshold costs -43.0b (-223.9%)

Counts

4 → 1

Calls

Call 1

Inputs
0
U
(*.f64 l 0)
(*.f64 l (+.f64 0 J))

Outputs
U

Calls

4 calls:

6.0ms	K
4.0ms	l
4.0ms	U
4.0ms	J

Results

Error	Segments	Branch
19.2b	1	`J`
19.2b	1	`l`
19.2b	1	`K`
19.2b	1	`U`

Compiler

Compiled 34 to 26 computations (23.5% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	359
1	105	359

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 K 1/2)))) U)
(fma.f64 (+.f64 l l) (*.f64 J (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 2 (.f64 J (*.f64 l (cos.f64 (/.f64 K -2))))) U)
(if (<=.f64 U -8622034626756923/78382132970517478991165606422426233672355708521949855379734648809861125861064803929830588940942115354940041435601982738271645192059633193360683542052684438972998018132574030730004068581526319939960438784) (+.f64 (.f64 (+.f64 l l) J) U) (if (<=.f64 U -483266740157081/94758184344525691842589080106353915726128296943157752144717531617800961467674370503593652882607817257720198406807316479868870852301929589321550737002025216015896910157522577243058183937475491017166931103132108688408987234729984) (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2))) (if (<=.f64 U 6550852186082249/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344) (+.f64 (.f64 (+.f64 l l) J) U) (if (<=.f64 U 268001700651499/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 J J))) (fma.f64 (+.f64 l l) J U)))))
(if (<=.f64 U -5518102161124431/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088) (+.f64 (.f64 (+.f64 l l) J) U) (if (<=.f64 U -7520009509581559/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808) (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))) (if (<=.f64 U 44336241474093/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272) (+.f64 (.f64 (+.f64 l l) J) U) (if (<=.f64 U 268001700651499/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 J J))) (fma.f64 (+.f64 l l) J U)))))
(if (<=.f64 U -5267279335618775/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088) (+.f64 (.f64 (+.f64 l l) J) U) (if (<=.f64 U -3456778564888297/6064523798049644277925701126806650606472211004362096137261922023539261533931159712229993784486900304494092698035668254711607734547323493716579247168129613825017402250081444943555723771998431425098683590600454956058175183022718976) (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))) (if (<=.f64 U 4044755004007437/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448) (+.f64 (.f64 (+.f64 l l) J) U) (if (<=.f64 U 268001700651499/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))) (fma.f64 (+.f64 l l) J U)))))
(fma.f64 (+.f64 l l) J U)
(+.f64 (*.f64 (+.f64 l l) J) U)
(if (<=.f64 U 5045051308956759/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) U (if (<=.f64 U 1825786850307637/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (*.f64 l (+.f64 J J)) U))
U
0

Outputs
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 K 1/2)))) U)
(fma.f64 (+.f64 l l) (*.f64 J (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2))) U)
(+.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J (+.f64 l l))))
(+.f64 (.f64 2 (.f64 J (*.f64 l (cos.f64 (/.f64 K -2))))) U)
(+.f64 U (.f64 2 (.f64 J (*.f64 l (cos.f64 (/.f64 K -2))))))
(if (<=.f64 U -8622034626756923/78382132970517478991165606422426233672355708521949855379734648809861125861064803929830588940942115354940041435601982738271645192059633193360683542052684438972998018132574030730004068581526319939960438784) (+.f64 (.f64 (+.f64 l l) J) U) (if (<=.f64 U -483266740157081/94758184344525691842589080106353915726128296943157752144717531617800961467674370503593652882607817257720198406807316479868870852301929589321550737002025216015896910157522577243058183937475491017166931103132108688408987234729984) (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2))) (if (<=.f64 U 6550852186082249/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344) (+.f64 (.f64 (+.f64 l l) J) U) (if (<=.f64 U 268001700651499/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 J J))) (fma.f64 (+.f64 l l) J U)))))
(if (<=.f64 U -8622034626756923/78382132970517478991165606422426233672355708521949855379734648809861125861064803929830588940942115354940041435601982738271645192059633193360683542052684438972998018132574030730004068581526319939960438784) (+.f64 U (.f64 J (+.f64 l l))) (if (<=.f64 U -483266740157081/94758184344525691842589080106353915726128296943157752144717531617800961467674370503593652882607817257720198406807316479868870852301929589321550737002025216015896910157522577243058183937475491017166931103132108688408987234729984) (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 2 l))) (if (<=.f64 U 6550852186082249/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344) (+.f64 U (.f64 J (+.f64 l l))) (if (<=.f64 U 268001700651499/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 l (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 J J))) (fma.f64 (+.f64 l l) J U)))))
(if (<=.f64 U -5518102161124431/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088) (+.f64 (.f64 (+.f64 l l) J) U) (if (<=.f64 U -7520009509581559/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808) (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))) (if (<=.f64 U 44336241474093/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272) (+.f64 (.f64 (+.f64 l l) J) U) (if (<=.f64 U 268001700651499/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 J J))) (fma.f64 (+.f64 l l) J U)))))
(if (<=.f64 U -5518102161124431/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088) (+.f64 U (.f64 J (+.f64 l l))) (if (<=.f64 U -7520009509581559/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808) (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))) (if (<=.f64 U 44336241474093/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272) (+.f64 U (.f64 J (+.f64 l l))) (if (<=.f64 U 268001700651499/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 J J))) (fma.f64 (+.f64 l l) J U)))))
(if (<=.f64 U -5267279335618775/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088) (+.f64 (.f64 (+.f64 l l) J) U) (if (<=.f64 U -3456778564888297/6064523798049644277925701126806650606472211004362096137261922023539261533931159712229993784486900304494092698035668254711607734547323493716579247168129613825017402250081444943555723771998431425098683590600454956058175183022718976) (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))) (if (<=.f64 U 4044755004007437/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448) (+.f64 (.f64 (+.f64 l l) J) U) (if (<=.f64 U 268001700651499/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))) (fma.f64 (+.f64 l l) J U)))))
(if (<=.f64 U -5267279335618775/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088) (+.f64 U (.f64 J (+.f64 l l))) (if (<=.f64 U -3456778564888297/6064523798049644277925701126806650606472211004362096137261922023539261533931159712229993784486900304494092698035668254711607734547323493716579247168129613825017402250081444943555723771998431425098683590600454956058175183022718976) (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))) (if (<=.f64 U 4044755004007437/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448) (+.f64 U (.f64 J (+.f64 l l))) (if (<=.f64 U 268001700651499/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 l l))) (fma.f64 (+.f64 l l) J U)))))
(fma.f64 (+.f64 l l) J U)
(+.f64 (*.f64 (+.f64 l l) J) U)
(+.f64 U (*.f64 J (+.f64 l l)))
(if (<=.f64 U 5045051308956759/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) U (if (<=.f64 U 1825786850307637/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (*.f64 l (+.f64 J J)) U))
U
0

Compiler

Compiled 294 to 174 computations (40.8% saved)

soundness177.0ms (1.6%)

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

Compiler

Compiled 75 to 55 computations (26.7% saved)

end128.0ms (1.1%)

Compiler: Compiled 250 to 112 computations (55.2% saved)