Details

analyze634.0ms (4.8%)

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)

sample5.1s (38.2%)

Results

1.2s	1693×	body	1024	valid
1.1s	5263×	body	256	valid
1.1s	2050×	body	1024	infinite
752.0ms	3702×	body	256	infinite
502.0ms	1241×	body	512	valid
354.0ms	987×	body	512	infinite
60.0ms	59×	body	2048	valid

Bogosity

preprocess82.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	154
1	113	154
2	244	154
3	618	154
4	1692	154
5	4556	154
6	7115	154
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify76.0ms (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 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 33 to 19 computations (42.4% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

18.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.6b	(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
▶	18.6b	(+.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)

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
✓	0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
✓	4.5b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 65 to 24 computations (63.1% saved)

series14.0ms (0.1%)

Counts

3 → 68

Calls

18 calls:

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

rewrite140.0ms (1.1%)

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	13	17
1	277	17
2	4318	17
0	13	17
0	8	9
1	169	9
2	2769	9
0	8	9

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

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

Outputs

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

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

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

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

679×	`fma-def_binary64`
502×	`unsub-neg_binary64`
372×	`distribute-rgt-neg-out_binary64`
362×	`associate-l_binary64`
359×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	1386
1	252	1333
2	760	1261
3	3143	1225
4	6430	1225

Stop Event

1×	node limit

Counts

93 → 60

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))
	4.5b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 54 to 23 computations (57.4% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	l	@	0	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))
1.0ms	K	@	0	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))
1.0ms	l	@	inf	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))
1.0ms	l	@	-inf	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))
0.0ms	K	@	-inf	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))

rewrite41.0ms (0.3%)

Algorithm

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

Rules

122×	`add-sqr-sqrt_binary64`
115×	`*-un-lft-identity_binary64`
115×	`add-log-exp_binary64`
115×	`pow1_binary64`
113×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	236	14
2	3682	14
0	11	14

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 6

Calls

Call 1

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

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

Outputs

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

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

653×	`fma-neg_binary64`
561×	`unsub-neg_binary64`
496×	`cancel-sign-sub-inv_binary64`
482×	`associate-+l+_binary64`
325×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	586
1	164	564
2	460	519
3	1860	489
4	4506	489

Stop Event

1×	node limit

Counts

30 → 22

Calls

Call 1

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

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

eval39.0ms (0.3%)

Compiler: Compiled 2191 to 1319 computations (39.8% saved)

prune24.0ms (0.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	97	7	104
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	99	7	106

Error

0.0b

Counts

106 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	33.6b	(fma.f64 J (.f64 (.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (.f64 2 (sinh.f64 l)))) (cos.f64 (/.f64 K 2))) U)
▶	0.1b	(fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))) U)
▶	0.2b	(fma.f64 J (.f64 (.f64 2 l) (cos.f64 (/.f64 K 2))) U)
▶	0.2b	(+.f64 (.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2))) U)
▶	0.0b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
	11.4b	(+.f64 (.f64 (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))))) (cos.f64 (/.f64 K 2))) U)
▶	0.2b	(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)

Compiler

Compiled 270 to 198 computations (26.7% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 52 to 31 computations (40.4% saved)

series25.0ms (0.2%)

Counts

4 → 120

Calls

30 calls:

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

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

730×	`log-prod_binary64`
372×	`pow2_binary64`
336×	`fma-def_binary64`
269×	`pow-unpow_binary64`
261×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	283	47
2	3723	47

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

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

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

simplify113.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

916×	`fma-def_binary64`
355×	`associate-l_binary64`
324×	`distribute-lft-neg-out_binary64`
307×	`distribute-lft-out_binary64`
294×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	2547
1	299	2460
2	908	2337
3	3779	2282
4	6061	2282

Stop Event

1×	node limit

Counts

254 → 188

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 35 computations (34% saved)

series19.0ms (0.1%)

Counts

4 → 124

Calls

36 calls:

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

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`log-prod_binary64`
449×	`pow-prod-down_binary64`
354×	`pow2_binary64`
325×	`fma-def_binary64`
272×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	273	52
2	3447	52

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

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

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

simplify237.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

796×	`unswap-sqr_binary64`
686×	`fma-def_binary64`
594×	`*-commutative_binary64`
434×	`distribute-lft-out_binary64`
372×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	1877
1	186	1849
2	594	1796
3	2378	1789
4	3523	1789
5	4130	1789
6	4386	1789
7	5038	1789
8	5180	1789
9	5362	1789
10	5673	1789
11	7323	1789
12	7882	1789

Stop Event

1×	node limit

Counts

241 → 155

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 46 to 30 computations (34.8% saved)

series8.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	U	@	inf	(+.f64 (.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2))) U)
0.0ms	l	@	0	(.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2)))
0.0ms	l	@	inf	(.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2)))
0.0ms	K	@	0	(.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2)))
0.0ms	K	@	0	(+.f64 (.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2))) U)

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

674×	`log-prod_binary64`
456×	`pow-prod-down_binary64`
342×	`pow2_binary64`
342×	`fma-def_binary64`
252×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	260	31
2	3415	31

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2 (*.f64 l (*.f64 J (cos.f64 (*.f64 K 1/2)))) U))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 l (*.f64 J (cos.f64 (*.f64 K 1/2))))) 2) (-.f64 (*.f64 2 (*.f64 l (*.f64 J (cos.f64 (*.f64 K 1/2))))) U)) (/.f64 (*.f64 U U) (-.f64 (*.f64 2 (*.f64 l (*.f64 J (cos.f64 (*.f64 K 1/2))))) U)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (*.f64 l (*.f64 J (cos.f64 (*.f64 K 1/2)))) U) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (*.f64 l (*.f64 J (cos.f64 (*.f64 K 1/2)))) U))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 (*.f64 l (*.f64 J (cos.f64 (*.f64 K 1/2)))) U)) (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 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 2 (*.f64 l (*.f64 J (cos.f64 (*.f64 K 1/2)))) U)) 2) (cbrt.f64 (fma.f64 2 (*.f64 l (*.f64 J (cos.f64 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simplify260.0ms (2%)

Algorithm

1×	egg-herbie

Rules

816×	`unswap-sqr_binary64`
612×	`sqr-pow_binary64`
563×	`cube-prod_binary64`
475×	`pow-sqr_binary64`
430×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	1335
1	125	1313
2	375	1279
3	1495	1279
4	2182	1279
5	2670	1279
6	2791	1279
7	2917	1279
8	3051	1279
9	3226	1279
10	3468	1279
11	5156	1279
12	5717	1279
13	6374	1279
14	7105	1279
15	7628	1279

Stop Event

1×	node limit

Counts

169 → 106

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)

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

localize41.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 38 to 25 computations (34.2% saved)

series33.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
14.0ms	K	@	-inf	(fma.f64 J (.f64 (.f64 2 l) (cos.f64 (/.f64 K 2))) U)
2.0ms	K	@	-inf	(.f64 (.f64 2 l) (cos.f64 (/.f64 K 2)))
1.0ms	l	@	0	(.f64 (.f64 2 l) (cos.f64 (/.f64 K 2)))
1.0ms	K	@	inf	(.f64 (.f64 2 l) (cos.f64 (/.f64 K 2)))
1.0ms	l	@	inf	(.f64 (.f64 2 l) (cos.f64 (/.f64 K 2)))

rewrite100.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`log-prod_binary64`
426×	`exp-prod_binary64`
338×	`pow-prod-down_binary64`
294×	`pow2_binary64`
208×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	227	28
2	2726	28

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify261.0ms (2%)

Algorithm

1×	egg-herbie

Rules

814×	`unswap-sqr_binary64`
612×	`sqr-pow_binary64`
563×	`cube-prod_binary64`
475×	`pow-sqr_binary64`
401×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	1065
1	145	1054
2	430	1023
3	1531	1023
4	2224	1023
5	2720	1023
6	2843	1023
7	2969	1023
8	3103	1023
9	3278	1023
10	3520	1023
11	5209	1023
12	5771	1023
13	6424	1023
14	7154	1023
15	7680	1023

Stop Event

1×	node limit

Counts

132 → 80

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 43 to 26 computations (39.5% saved)

series14.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`log-prod_binary64`
364×	`pow-prod-down_binary64`
325×	`pow2_binary64`
230×	`pow1/3_binary64`
228×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify88.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

642×	`fma-def_binary64`
638×	`unsub-neg_binary64`
596×	`fma-neg_binary64`
420×	`distribute-rgt-in_binary64`
412×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1691
1	258	1631
2	799	1546
3	3615	1494
4	7007	1494

Stop Event

1×	node limit

Counts

125 → 90

Calls

Call 1

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

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

eval254.0ms (1.9%)

Compiler: Compiled 12535 to 8141 computations (35.1% saved)

prune370.0ms (2.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	646	11	657
Fresh	2	0	2
Picked	1	0	1
Done	3	1	4
Total	652	12	664

Error

Counts

664 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	32.9b	(fma.f64 (.f64 (.f64 l 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J))) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J)) U)
	0.2b	(fma.f64 (.f64 (.f64 l 2) J) (cos.f64 (*.f64 1/2 K)) U)
	33.7b	(fma.f64 (sqrt.f64 (+.f64 l l)) (.f64 (sqrt.f64 (+.f64 l l)) (.f64 J (cos.f64 (*.f64 K 1/2)))) U)
	8.3b	(fma.f64 l (*.f64 2 J) U)
▶	24.8b	(+.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 l 2))) 2) U)
▶	0.1b	(+.f64 (.f64 (.f64 (sinh.f64 l) (.f64 2 (cos.f64 (.f64 K 1/2)))) J) U)
	0.2b	(+.f64 (.f64 (.f64 2 (.f64 l (cos.f64 (.f64 K 1/2)))) J) U)
▶	8.3b	(+.f64 (.f64 l (.f64 2 J)) U)
✓	0.2b	(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
▶	0.1b	(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 2 (.f64 1/3 (.f64 l l))))))
▶	43.1b	(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
	19.5b	U

Compiler

Compiled 359 to 262 computations (27% saved)

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 58 to 38 computations (34.5% saved)

series18.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite104.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

746×	`log-prod_binary64`
386×	`pow2_binary64`
340×	`fma-def_binary64`
275×	`pow-unpow_binary64`
269×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	296	49
2	3774	49

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

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

Outputs

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

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

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

simplify124.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	2631
1	316	2529
2	973	2388
3	4439	2303
4	7852	2303

Stop Event

1×	node limit

Counts

215 → 161

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite94.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`pow1_binary64`
829×	`add-log-exp_binary64`
828×	`log1p-expm1-u_binary64`
828×	`expm1-log1p-u_binary64`
812×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	172	8
2	2254	8

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`fma-def_binary64`
5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	255
1	14	255
2	23	255
3	29	255

Stop Event

1×

saturated

Counts

72 → 40

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)

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 (.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 (.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 (.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 (.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 (.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)

localize48.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 37 to 22 computations (40.5% saved)

series10.0ms (0.1%)

Counts

2 → 8

Calls

18 calls:

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

rewrite113.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`log-prod_binary64`
428×	`exp-prod_binary64`
378×	`prod-exp_binary64`
340×	`pow-prod-down_binary64`
280×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	222	27
2	2579	27

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify148.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

801×	`unswap-sqr_binary64`
582×	`distribute-lft-out_binary64`
579×	`*-commutative_binary64`
415×	`distribute-rgt-out_binary64`
370×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	200
1	104	180
2	368	151
3	1640	147
4	2777	147
5	3462	147
6	3782	147
7	4365	147
8	4975	147
9	5244	147
10	5569	147
11	7234	147
12	7794	147

Stop Event

1×	node limit

Counts

67 → 74

Calls

Call 1

Inputs
(*.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 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))))))

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

localize55.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 2 (.f64 1/3 (.f64 l l))))))
✓	0.0b	(.f64 (.f64 l J) (+.f64 2 (.f64 1/3 (.f64 l l))))
✓	0.1b	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 2 (.f64 1/3 (.f64 l l)))))
✓	0.2b	(.f64 1/3 (.f64 l l))

Compiler

Compiled 81 to 44 computations (45.7% saved)

series21.0ms (0.2%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	l	@	inf	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 2 (.f64 1/3 (.f64 l l)))))
1.0ms	J	@	0	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 2 (.f64 1/3 (.f64 l l)))))
1.0ms	K	@	inf	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 2 (.f64 1/3 (.f64 l l)))))
1.0ms	J	@	inf	(.f64 (.f64 l J) (+.f64 2 (.f64 1/3 (.f64 l l))))
1.0ms	J	@	inf	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 2 (.f64 1/3 (.f64 l l)))))

rewrite166.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`log-prod_binary64`
476×	`fma-def_binary64`
327×	`expm1-udef_binary64`
327×	`log1p-udef_binary64`
265×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	74
1	370	66
2	4949	66

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

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

Outputs
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l l) 2)) U)))))

simplify253.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

684×	`distribute-lft-in_binary64`
684×	`distribute-rgt-in_binary64`
493×	`fma-def_binary64`
441×	`distribute-rgt-out_binary64`
409×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	2602
1	170	2300
2	551	2252
3	3135	2226
4	6684	2226
5	7371	2226
6	7500	2226
7	7686	2226
8	7883	2226

Stop Event

1×	node limit

Counts

297 → 213

Calls

Call 1

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

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

localize67.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 l 2))
	0.1b	(.f64 (cos.f64 (.f64 1/2 K)) J)
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 l 2))) 2)
✓	12.6b	(sqrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 l 2)))

Compiler

Compiled 75 to 53 computations (29.3% saved)

series25.0ms (0.2%)

Counts

3 → 60

Calls

27 calls:

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

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`log-prod_binary64`
443×	`exp-prod_binary64`
398×	`pow-prod-down_binary64`
298×	`pow2_binary64`
249×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	266	47
2	2835	47

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

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

Outputs

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

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

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

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

729×	`associate-l_binary64`
724×	`fma-def_binary64`
674×	`associate-r_binary64`
653×	`distribute-lft-out_binary64`
597×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1620
1	263	1281
2	1022	1183
3	5239	1117

Stop Event

1×	node limit

Counts

180 → 127

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J)))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J))) (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 K 2)) (sqrt.f64 (.f64 l J)))))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J))) (+.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 K 2)) (sqrt.f64 (.f64 l J)))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)) (pow.f64 K 4))) (sqrt.f64 (/.f64 1 (*.f64 l J)))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1/46080 (.f64 l J)) (.f64 -1/16 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)))) (pow.f64 K 6))) (sqrt.f64 (/.f64 1 (.f64 l J))))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J))) (+.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 K 2)) (sqrt.f64 (.f64 l J)))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)) (pow.f64 K 4))) (sqrt.f64 (/.f64 1 (*.f64 l J))))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J)) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (.f64 l J)))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J)) (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2))) (.f64 1/256 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J))))) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (*.f64 l J))))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J)) (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2))) (.f64 1/256 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (.f64 l J)))) (.f64 (pow.f64 K 6) (+.f64 (.f64 -1/16 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)))) (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 -1/46080 (.f64 l J)) (.f64 -1/16 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2))))))))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 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 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)))

Outputs
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J)))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J))) (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 K 2)) (sqrt.f64 (.f64 l J)))))
(fma.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J)) (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 K K))) (sqrt.f64 (.f64 l J))))
(.f64 (sqrt.f64 (.f64 l J)) (+.f64 (sqrt.f64 2) (.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 K K)))))
(.f64 (sqrt.f64 (.f64 l J)) (.f64 (+.f64 (.f64 -1/16 (*.f64 K K)) 1) (sqrt.f64 2)))
(.f64 (sqrt.f64 (.f64 l J)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 K K)) (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J))) (+.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 K 2)) (sqrt.f64 (.f64 l J)))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)) (pow.f64 K 4))) (sqrt.f64 (/.f64 1 (*.f64 l J)))))))
(fma.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 K K) (sqrt.f64 (.f64 l J)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (.f64 (.f64 l J) 1/384) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) (pow.f64 K 4)) (sqrt.f64 (/.f64 1 (.f64 l J))))))))
(+.f64 (.f64 (sqrt.f64 (.f64 l J)) (+.f64 (sqrt.f64 2) (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 K K))))) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 l (.f64 J 1/384)) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) (.f64 (pow.f64 K 4) (sqrt.f64 2))) (sqrt.f64 (/.f64 1 (.f64 l J))))))
(fma.f64 (.f64 (fma.f64 l (.f64 J 1/384) (.f64 (.f64 l J) -1/256)) (.f64 (sqrt.f64 2) (pow.f64 K 4))) (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 J) l))) (.f64 (sqrt.f64 (.f64 l J)) (.f64 (+.f64 (.f64 -1/16 (*.f64 K K)) 1) (sqrt.f64 2))))
(fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (/.f64 (/.f64 1 J) l)) (.f64 (.f64 1/2 (pow.f64 K 4)) (.f64 (.f64 l J) -1/768))) (.f64 (sqrt.f64 (.f64 l J)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 K K)) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1/46080 (.f64 l J)) (.f64 -1/16 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)))) (pow.f64 K 6))) (sqrt.f64 (/.f64 1 (.f64 l J))))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J))) (+.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 K 2)) (sqrt.f64 (.f64 l J)))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)) (pow.f64 K 4))) (sqrt.f64 (/.f64 1 (*.f64 l J))))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 l J))) (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 l J) -1/46080) (.f64 1/16 (-.f64 (.f64 (.f64 l J) 1/384) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2))))) (pow.f64 K 6))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 K K) (sqrt.f64 (.f64 l J)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (.f64 (.f64 l J) 1/384) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) (pow.f64 K 4)) (sqrt.f64 (/.f64 1 (*.f64 l J)))))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 l J))) (.f64 (fma.f64 (.f64 l J) -1/46080 (.f64 (-.f64 (.f64 l (.f64 J 1/384)) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) 1/16)) (.f64 (pow.f64 K 6) (sqrt.f64 2)))) (+.f64 (.f64 (sqrt.f64 (.f64 l J)) (+.f64 (sqrt.f64 2) (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 K K))))) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 l (.f64 J 1/384)) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) (.f64 (pow.f64 K 4) (sqrt.f64 2))) (sqrt.f64 (/.f64 1 (.f64 l J)))))))
(fma.f64 (sqrt.f64 (.f64 l J)) (.f64 (+.f64 (.f64 -1/16 (.f64 K K)) 1) (sqrt.f64 2)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 J) l))) (+.f64 (.f64 (fma.f64 l (.f64 J 1/384) (.f64 (.f64 l J) -1/256)) (.f64 (sqrt.f64 2) (pow.f64 K 4))) (.f64 (fma.f64 (fma.f64 l (.f64 J 1/384) (.f64 (.f64 l J) -1/256)) 1/16 (.f64 l (.f64 J -1/46080))) (.f64 (sqrt.f64 2) (pow.f64 K 6))))))
(fma.f64 (sqrt.f64 (.f64 l J)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 K K)) (sqrt.f64 2)) (.f64 (.f64 (sqrt.f64 2) (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 J) l)))) (+.f64 (.f64 (fma.f64 l (.f64 J -1/46080) (.f64 -1/16 (.f64 (.f64 l J) 1/768))) (pow.f64 K 6)) (.f64 (.f64 (.f64 l J) -1/768) (pow.f64 K 4)))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l (.f64 J (cos.f64 (.f64 K 1/2))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l (.f64 J (cos.f64 (.f64 K 1/2))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l (.f64 J (cos.f64 (.f64 K 1/2))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l (.f64 J (cos.f64 (.f64 K 1/2))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l (.f64 J (cos.f64 (.f64 K 1/2))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l (.f64 J (cos.f64 (.f64 K 1/2))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l (.f64 J (cos.f64 (.f64 K 1/2))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l (.f64 J (cos.f64 (.f64 K 1/2))))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J)) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (.f64 l J)))))
(fma.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (.f64 l J) (.f64 K K)))))
(.f64 (.f64 l J) (+.f64 2 (.f64 (.f64 K K) -1/4)))
(.f64 l (.f64 J (fma.f64 (*.f64 K K) -1/4 2)))
(.f64 (.f64 l J) (fma.f64 (*.f64 K K) -1/4 2))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J)) (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2))) (.f64 1/256 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J))))) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (*.f64 l J))))))
(fma.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J) (fma.f64 (pow.f64 K 4) (fma.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 (.f64 l J) 1/384) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) (.f64 (.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2)) 1/256)) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (.f64 l J) (*.f64 K K))))))
(+.f64 (.f64 (pow.f64 K 4) (fma.f64 (-.f64 (.f64 l (.f64 J 1/384)) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) 2 (.f64 (.f64 l J) 1/128))) (.f64 (.f64 l J) (+.f64 2 (.f64 (*.f64 K K) -1/4))))
(fma.f64 (.f64 l J) (fma.f64 (.f64 K K) -1/4 2) (.f64 (pow.f64 K 4) (fma.f64 (fma.f64 l (.f64 J 1/384) (.f64 (.f64 l J) -1/256)) 2 (.f64 l (.f64 J 1/128)))))
(fma.f64 (.f64 l J) (fma.f64 (.f64 K K) -1/4 2) (.f64 (pow.f64 K 4) (+.f64 (.f64 (.f64 l J) 5/384) (.f64 (*.f64 l J) -1/128))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J)) (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2))) (.f64 1/256 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (.f64 l J)))) (.f64 (pow.f64 K 6) (+.f64 (.f64 -1/16 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)))) (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 -1/46080 (.f64 l J)) (.f64 -1/16 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2))))))))))
(fma.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J) (fma.f64 (pow.f64 K 4) (fma.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 (.f64 l J) 1/384) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) (.f64 (.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2)) 1/256)) (fma.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (.f64 l J) (.f64 K K))) (.f64 (pow.f64 K 6) (fma.f64 -1/16 (.f64 (-.f64 (.f64 (.f64 l J) 1/384) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) (pow.f64 (sqrt.f64 2) 2)) (.f64 (+.f64 (.f64 (.f64 l J) -1/46080) (.f64 1/16 (-.f64 (.f64 (.f64 l J) 1/384) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)))) (pow.f64 (sqrt.f64 2) 2)))))))
(+.f64 (+.f64 (.f64 (pow.f64 K 4) (fma.f64 (-.f64 (.f64 l (.f64 J 1/384)) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) 2 (.f64 (.f64 l J) 1/128))) (.f64 (.f64 l J) (+.f64 2 (.f64 (.f64 K K) -1/4)))) (.f64 (pow.f64 K 6) (fma.f64 (fma.f64 (.f64 l J) -1/46080 (.f64 (-.f64 (.f64 l (.f64 J 1/384)) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) 1/16)) 2 (.f64 (-.f64 (.f64 l (.f64 J 1/384)) (pow.f64 (.f64 (sqrt.f64 (*.f64 l J)) -1/16) 2)) -1/8))))
(+.f64 (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) -1/4 2) (.f64 (pow.f64 K 4) (fma.f64 (fma.f64 l (.f64 J 1/384) (.f64 (.f64 l J) -1/256)) 2 (.f64 l (.f64 J 1/128))))) (.f64 (pow.f64 K 6) (fma.f64 (fma.f64 l (.f64 J 1/384) (.f64 (.f64 l J) -1/256)) -1/8 (+.f64 (.f64 (fma.f64 l (.f64 J 1/384) (.f64 (.f64 l J) -1/256)) 1/8) (.f64 l (.f64 J -1/23040))))))
(+.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) -1/4 2)) (fma.f64 (pow.f64 K 6) (+.f64 (.f64 l (.f64 J -1/23040)) (.f64 (.f64 (.f64 l J) -1/768) 0)) (.f64 (pow.f64 K 4) (+.f64 (.f64 (.f64 l J) 5/384) (.f64 (*.f64 l J) -1/128)))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(fma.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (.f64 l J) (.f64 K K)))))
(.f64 (.f64 l J) (+.f64 2 (.f64 (.f64 K K) -1/4)))
(.f64 l (.f64 J (fma.f64 (*.f64 K K) -1/4 2)))
(.f64 (.f64 l J) (fma.f64 (*.f64 K K) -1/4 2))
(+.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 (.f64 (.f64 l J) (*.f64 K K)) -1/4)))
(fma.f64 (.f64 l J) 2 (.f64 (.f64 l J) (+.f64 (.f64 (.f64 K K) -1/4) (.f64 (pow.f64 K 4) 1/192))))
(.f64 (.f64 l J) (+.f64 2 (fma.f64 (.f64 K K) -1/4 (.f64 (pow.f64 K 4) 1/192))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (.f64 -1/23040 (.f64 (pow.f64 K 6) (*.f64 l J))))))
(fma.f64 2 (.f64 l J) (fma.f64 1/192 (.f64 (.f64 l J) (pow.f64 K 4)) (fma.f64 -1/4 (.f64 (.f64 l J) (.f64 K K)) (.f64 -1/23040 (.f64 (*.f64 l J) (pow.f64 K 6))))))
(+.f64 (.f64 (.f64 l J) (+.f64 (.f64 (pow.f64 K 6) -1/23040) (.f64 (.f64 K K) -1/4))) (.f64 (.f64 l J) (+.f64 2 (.f64 (pow.f64 K 4) 1/192))))
(.f64 (.f64 l J) (+.f64 (fma.f64 (.f64 K K) -1/4 (.f64 (pow.f64 K 6) -1/23040)) (+.f64 2 (*.f64 (pow.f64 K 4) 1/192))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))

eval509.0ms (3.8%)

Compiler: Compiled 14534 to 9042 computations (37.8% saved)

prune195.0ms (1.5%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	671	6	677
Fresh	4	2	6
Picked	1	0	1
Done	0	5	5
Total	676	13	689

Error

Counts

689 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(fma.f64 (.f64 (.f64 l 2) J) (cos.f64 (*.f64 1/2 K)) U)
▶	8.3b	(fma.f64 (*.f64 l 2) J U)
▶	53.6b	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) 2))) 2)
	32.9b	(+.f64 (.f64 (.f64 (+.f64 l l) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J))) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
▶	0.2b	(+.f64 (.f64 (.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K))) J) U)
	33.7b	(+.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 l l))) (sqrt.f64 (+.f64 l l))) U)
✓	0.1b	(+.f64 (.f64 (.f64 (sinh.f64 l) (.f64 2 (cos.f64 (.f64 K 1/2)))) J) U)
✓	8.3b	(+.f64 (.f64 l (.f64 2 J)) U)
✓	0.2b	(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
✓	0.1b	(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 2 (.f64 1/3 (.f64 l l))))))
▶	50.9b	(.f64 J (.f64 l 2))
✓	43.1b	(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
	19.5b	U

Compiler

Compiled 313 to 226 computations (27.8% saved)

localize19.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 36 to 23 computations (36.1% saved)

series6.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`log-prod_binary64`
437×	`exp-prod_binary64`
340×	`pow-prod-down_binary64`
306×	`pow2_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	240	16
2	2747	16

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify196.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

822×	`unswap-sqr_binary64`
690×	`cube-prod_binary64`
612×	`sqr-pow_binary64`
475×	`pow-sqr_binary64`
365×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	749
1	107	741
2	331	725
3	1203	725
4	1773	725
5	2382	725
6	2569	725
7	2698	725
8	2832	725
9	3007	725
10	3249	725
11	4949	725
12	5514	725
13	6167	725
14	6897	725
15	7419	725
16	7851	725

Stop Event

1×	node limit

Counts

84 → 49

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)

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

localize7.0ms (0.1%)

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

localize7.0ms (0.1%)

Compiler: Compiled 17 to 10 computations (41.2% saved)

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 49 to 26 computations (46.9% saved)

series9.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite176.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

625×	`log-prod_binary64`
413×	`pow-prod-down_binary64`
370×	`fma-def_binary64`
329×	`pow2_binary64`
249×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	258	43
2	3548	19

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

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

Outputs

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

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

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

simplify253.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

822×	`unswap-sqr_binary64`
612×	`sqr-pow_binary64`
541×	`fma-def_binary64`
475×	`pow-sqr_binary64`
454×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	1651
1	163	1626
2	473	1577
3	1768	1577
4	2488	1577
5	2939	1577
6	3048	1577
7	3174	1577
8	3308	1577
9	3483	1577
10	3725	1577
11	5425	1577
12	5987	1577
13	6646	1577
14	7375	1577
15	7899	1577

Stop Event

1×	node limit

Counts

261 → 183

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

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

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 l J) 2)
✓	0.1b	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) 2))
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) 2))) 2)
✓	12.6b	(sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) 2)))

Compiler

Compiled 58 to 36 computations (37.9% saved)

series14.0ms (0.1%)

Counts

4 → 84

Calls

33 calls:

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

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`log-prod_binary64`
443×	`exp-prod_binary64`
375×	`pow-prod-down_binary64`
297×	`pow2_binary64`
252×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	266	54
2	2820	54

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

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

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

729×	`associate-l_binary64`
724×	`fma-def_binary64`
674×	`associate-r_binary64`
653×	`distribute-lft-out_binary64`
597×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1908
1	263	1449
2	1022	1351
3	5239	1285

Stop Event

1×	node limit

Counts

224 → 146

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J)))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J))) (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 K 2)) (sqrt.f64 (.f64 l J)))))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J))) (+.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 K 2)) (sqrt.f64 (.f64 l J)))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)) (pow.f64 K 4))) (sqrt.f64 (/.f64 1 (*.f64 l J)))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1/46080 (.f64 l J)) (.f64 -1/16 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)))) (pow.f64 K 6))) (sqrt.f64 (/.f64 1 (.f64 l J))))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J))) (+.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 K 2)) (sqrt.f64 (.f64 l J)))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)) (pow.f64 K 4))) (sqrt.f64 (/.f64 1 (*.f64 l J))))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J)) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (.f64 l J)))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J)) (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2))) (.f64 1/256 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J))))) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (*.f64 l J))))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J)) (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2))) (.f64 1/256 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (.f64 l J)))) (.f64 (pow.f64 K 6) (+.f64 (.f64 -1/16 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)))) (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 -1/46080 (.f64 l J)) (.f64 -1/16 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2))))))))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 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 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 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))
(.f64 2 (.f64 l J))

Outputs
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J)))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J))) (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 K 2)) (sqrt.f64 (.f64 l J)))))
(fma.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J)) (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 K K))) (sqrt.f64 (.f64 l J))))
(.f64 (sqrt.f64 (.f64 l J)) (+.f64 (sqrt.f64 2) (.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 K K)))))
(.f64 (sqrt.f64 (.f64 l J)) (.f64 (+.f64 (.f64 -1/16 (*.f64 K K)) 1) (sqrt.f64 2)))
(.f64 (sqrt.f64 (.f64 l J)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 K K)) (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J))) (+.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 K 2)) (sqrt.f64 (.f64 l J)))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)) (pow.f64 K 4))) (sqrt.f64 (/.f64 1 (*.f64 l J)))))))
(fma.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 K K) (sqrt.f64 (.f64 l J)))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (.f64 (.f64 l J) 1/384) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) (pow.f64 K 4)) (sqrt.f64 (/.f64 1 (.f64 l J))))))))
(+.f64 (.f64 (sqrt.f64 (.f64 l J)) (+.f64 (sqrt.f64 2) (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 K K))))) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 l (.f64 J 1/384)) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) (.f64 (pow.f64 K 4) (sqrt.f64 2))) (sqrt.f64 (/.f64 1 (.f64 l J))))))
(fma.f64 (.f64 (fma.f64 l (.f64 J 1/384) (.f64 (.f64 l J) -1/256)) (.f64 (sqrt.f64 2) (pow.f64 K 4))) (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 J) l))) (.f64 (sqrt.f64 (.f64 l J)) (.f64 (+.f64 (.f64 -1/16 (*.f64 K K)) 1) (sqrt.f64 2))))
(fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (/.f64 (/.f64 1 J) l)) (.f64 (.f64 1/2 (pow.f64 K 4)) (.f64 (.f64 l J) -1/768))) (.f64 (sqrt.f64 (.f64 l J)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 K K)) (sqrt.f64 2))))
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(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 (.f64 l J) 2)

eval163.0ms (1.2%)

Compiler: Compiled 6185 to 4387 computations (29.1% saved)

prune77.0ms (0.6%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	376	2	378
Fresh	0	3	3
Picked	0	1	1
Done	1	8	9
Total	377	14	391

Error

Counts

391 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(fma.f64 (.f64 (.f64 l 2) J) (cos.f64 (*.f64 1/2 K)) U)
✓	8.3b	(fma.f64 (*.f64 l 2) J U)
✓	53.6b	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) 2))) 2)
	32.9b	(+.f64 (.f64 (.f64 (+.f64 l l) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J))) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
✓	0.2b	(+.f64 (.f64 (.f64 (+.f64 l l) (cos.f64 (*.f64 1/2 K))) J) U)
	33.7b	(+.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 l l))) (sqrt.f64 (+.f64 l l))) U)
✓	0.1b	(+.f64 (.f64 (.f64 (sinh.f64 l) (.f64 2 (cos.f64 (.f64 K 1/2)))) J) U)
✓	8.3b	(+.f64 (.f64 l (.f64 2 J)) U)
✓	0.1b	(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 2 (.f64 1/3 (.f64 l l))))))
	43.2b	(.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) (.f64 J 2))
	43.2b	(.f64 l (.f64 (.f64 J 2) (cos.f64 (.f64 1/2 K))))
✓	50.9b	(.f64 J (.f64 l 2))
✓	43.1b	(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
	19.5b	U

Compiler

Compiled 211 to 155 computations (26.5% saved)

regimes239.0ms (1.8%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

13 calls:

50.0ms	K
42.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
28.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
17.0ms	U
16.0ms	J

Results

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

Compiler

Compiled 497 to 326 computations (34.4% saved)

regimes92.0ms (0.7%)

Counts

15 → 1

Calls

Call 1

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

Outputs
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 2 (.f64 1/3 (.f64 l l))))))

Calls

8 calls:

15.0ms	(/.f64 K 2)
14.0ms	K
11.0ms	(cos.f64 (/.f64 K 2))
8.0ms	(/.f64 K 2)
8.0ms	U

Results

Error	Segments	Branch
0.1b	1	`J`
0.1b	1	`l`
0.1b	1	`K`
0.1b	1	`U`
0.1b	1	`(cos.f64 (/.f64 K 2))`
0.1b	1	`(cos.f64 (/.f64 K 2))`
0.1b	1	`(/.f64 K 2)`
0.1b	1	`(/.f64 K 2)`

Compiler

Compiled 197 to 136 computations (31% saved)

regimes91.0ms (0.7%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

6 calls:

24.0ms	U
14.0ms	K
14.0ms	l
13.0ms	J
11.0ms	(cos.f64 (/.f64 K 2))

Results

Error	Segments	Branch
0.2b	1	`J`
0.2b	1	`l`
0.2b	1	`K`
0.2b	1	`U`
0.2b	1	`(cos.f64 (/.f64 K 2))`
0.2b	1	`(/.f64 K 2)`

Compiler

Compiled 142 to 98 computations (31% saved)

regimes33.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	K
7.0ms	U
7.0ms	J
6.0ms	l

Results

Error	Segments	Branch
0.2b	1	`J`
0.2b	1	`l`
0.2b	1	`K`
0.2b	1	`U`

Compiler

Compiled 103 to 70 computations (32% saved)

regimes44.0ms (0.3%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	K
8.0ms	J
6.0ms	U
6.0ms	l

Results

Error	Segments	Branch
8.3b	1	`J`
8.3b	1	`l`
7.3b	3	`K`
8.3b	1	`U`

Compiler

Compiled 79 to 54 computations (31.6% saved)

bsearch165.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
78.0ms	1.5795162204254872e+69	2.9185447535536895e+74
87.0ms	5.37884999084828e+51	1.3476490531433733e+54

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes25.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	U
6.0ms	J
5.0ms	K
5.0ms	l

Results

Error	Segments	Branch
8.3b	1	`J`
8.3b	1	`l`
8.3b	1	`K`
8.3b	1	`U`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes37.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
8.3b	1	`J`
8.3b	1	`l`
8.3b	1	`K`
8.3b	1	`U`

Compiler

Compiled 37 to 27 computations (27% saved)

regimes59.0ms (0.4%)

Accuracy

Total -44.5b remaining (-258.9%)

Threshold costs -44.5b (-258.9%)

Counts

2 → 4

Calls

Call 1

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

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

Calls

4 calls:

28.0ms	U
13.0ms	J
8.0ms	l
7.0ms	K

Results

Error	Segments	Branch
17.2b	4	`J`
19.5b	1	`l`
19.5b	1	`K`
18.3b	3	`U`

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch380.0ms (2.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
169.0ms	1.7376694080919494e+298	3.6733421221988666e+303
104.0ms	3.836571860803038e+244	6.905747443811108e+244
107.0ms	-5.8844313367491534e+237	-8.647000860279327e+233

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
6×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	181
1	82	181

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 2 (.f64 1/3 (.f64 l l))))))
(+.f64 (.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(if (<=.f64 K 5378849990848279679343168916857725367035409314349056) (fma.f64 l (.f64 2 J) U) (if (<=.f64 K 1579516220425487168853113967587448724767497986759239806459366655131648) (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 l (*.f64 2 J)) U)))
(fma.f64 l (*.f64 2 J) U)
(+.f64 (.f64 l (.f64 2 J)) U)
(if (<=.f64 J -5884431336749153392824511664570295317218352710654648919984444191831666063102225572952931694569167762358148592784060953408356469626551943767966710828737143167740107830613340166788688230237693511474103324714754404337249643158370122073112576) (.f64 J (.f64 l 2)) (if (<=.f64 J 38365718608030380378189840408927942406797376251201509940914182469172796064843786891369565143993141721365633433803958383103422146565580932624108082571727598444767912980323783928285235376413351999799736796270004025029805005797156237822797323173888) U (if (<=.f64 J 17376694080919493880360190254497937344489594052979460852701751491917422353544641117338288463394730748681041710500907612210300553395657129598035694588602932774791662946590269281185603975738036141448450868624937376041134943567566533045562143463336645942163348012328179447400208663156647111320938741760) (.f64 J (.f64 l 2)) U)))
U

Outputs
(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 2 (.f64 1/3 (.f64 l l))))))
(+.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 (.f64 J l) (+.f64 2 (.f64 1/3 (.f64 l l))))))
(+.f64 (.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2))) U)
(+.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J (*.f64 2 l))))
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(+.f64 U (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 K 1/2))))))
(if (<=.f64 K 5378849990848279679343168916857725367035409314349056) (fma.f64 l (.f64 2 J) U) (if (<=.f64 K 1579516220425487168853113967587448724767497986759239806459366655131648) (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 l (*.f64 2 J)) U)))
(if (<=.f64 K 5378849990848279679343168916857725367035409314349056) (fma.f64 l (.f64 J 2) U) (if (<=.f64 K 1579516220425487168853113967587448724767497986759239806459366655131648) (.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J l))) (+.f64 U (.f64 l (*.f64 J 2)))))
(fma.f64 l (*.f64 2 J) U)
(fma.f64 l (*.f64 J 2) U)
(+.f64 (.f64 l (.f64 2 J)) U)
(+.f64 U (.f64 l (.f64 J 2)))
(if (<=.f64 J -5884431336749153392824511664570295317218352710654648919984444191831666063102225572952931694569167762358148592784060953408356469626551943767966710828737143167740107830613340166788688230237693511474103324714754404337249643158370122073112576) (.f64 J (.f64 l 2)) (if (<=.f64 J 38365718608030380378189840408927942406797376251201509940914182469172796064843786891369565143993141721365633433803958383103422146565580932624108082571727598444767912980323783928285235376413351999799736796270004025029805005797156237822797323173888) U (if (<=.f64 J 17376694080919493880360190254497937344489594052979460852701751491917422353544641117338288463394730748681041710500907612210300553395657129598035694588602932774791662946590269281185603975738036141448450868624937376041134943567566533045562143463336645942163348012328179447400208663156647111320938741760) (.f64 J (.f64 l 2)) U)))
(if (<=.f64 J -5884431336749153392824511664570295317218352710654648919984444191831666063102225572952931694569167762358148592784060953408356469626551943767966710828737143167740107830613340166788688230237693511474103324714754404337249643158370122073112576) (.f64 J (.f64 2 l)) (if (<=.f64 J 38365718608030380378189840408927942406797376251201509940914182469172796064843786891369565143993141721365633433803958383103422146565580932624108082571727598444767912980323783928285235376413351999799736796270004025029805005797156237822797323173888) U (if (<=.f64 J 17376694080919493880360190254497937344489594052979460852701751491917422353544641117338288463394730748681041710500907612210300553395657129598035694588602932774791662946590269281185603975738036141448450868624937376041134943567566533045562143463336645942163348012328179447400208663156647111320938741760) (.f64 J (.f64 2 l)) U)))
U

Compiler

Compiled 160 to 115 computations (28.1% saved)

soundness0.0ms (0%)

end134.0ms (1%)

Compiler: Compiled 128 to 82 computations (35.9% saved)