Details

analyze1.7s (17.6%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 15 computations (25% saved)

sample5.5s (57.6%)

Results

1.3s	1631×	body	1024	valid
1.2s	2078×	body	1024	invalid
795.0ms	4526×	body	128	valid
631.0ms	1308×	body	512	valid
518.0ms	2991×	body	128	invalid
468.0ms	1055×	body	512	invalid
231.0ms	726×	body	256	valid
166.0ms	470×	body	256	invalid
66.0ms	65×	body	2048	valid

preprocess43.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify27.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

18.4b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.4b	(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 36 to 26 computations (27.8% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
✓	0.0b	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))
✓	5.5b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series17.0ms (0.2%)

Counts

3 → 80

Calls

21 calls:

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

rewrite119.0ms (1.3%)

Algorithm

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

Rules

153×	`add-sqr-sqrt_binary64`
153×	`add-sqr-sqrt_binary64`
146×	`*-un-lft-identity_binary64`
146×	`pow1_binary64`
146×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	295	30
2	4421	30
0	6	6
1	130	6
2	2149	6
0	6	6
0	11	14
1	236	14
2	3626	14
0	11	14
0	14	18
1	295	18
2	4429	18
0	14	18

Stop Event

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

Counts

3 → 29

Calls

Call 1

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

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

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

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

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

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

792×	`fma-def_binary64`
415×	`associate-l_binary64`
408×	`distribute-rgt-in_binary64`
294×	`associate-r_binary64`
248×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1789
1	311	1729
2	920	1632
3	3871	1574

Stop Event

1×	node limit

Counts

109 → 73

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

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

eval28.0ms (0.3%)

Compiler: Compiled 1501 to 856 computations (43% saved)

prune129.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	67	6	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	6	74

Error

Counts

74 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	37.9b	(cbrt.f64 (.f64 (.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U) (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U)) (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))) U)))
	1.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U)) (cbrt.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))) U))) (cbrt.f64 (fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))) U)))
	9.8b	(fma.f64 J (.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 2 (sinh.f64 l))) (.f64 2 (sinh.f64 l)))) (cos.f64 (/.f64 K 2))) U)
▶	0.1b	(fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))) U)
	0.8b	(+.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))
	9.9b	(fma.f64 J (cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))) (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))) U)

Compiler

Compiled 394 to 280 computations (28.9% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 l)
✓	0.1b	(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)))

series19.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

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

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`log-prod_binary64`
228×	`expm1-udef_binary64`
228×	`log1p-udef_binary64`
207×	`prod-diff_binary64`
191×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	250	35
2	3040	35

Stop Event

1×	node limit

Counts

3 → 74

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)
(sinh.f64 l)

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

Outputs

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

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

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

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

732×	`fma-def_binary64`
406×	`associate-l_binary64`
309×	`associate-r_binary64`
233×	`associate-+l+_binary64`
217×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	1845
1	287	1781
2	889	1688
3	3900	1636

Stop Event

1×	node limit

Counts

158 → 120

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)
l
(+.f64 (*.f64 1/6 (pow.f64 l 3)) l)
(+.f64 (.f64 1/6 (pow.f64 l 3)) (+.f64 l (.f64 1/120 (pow.f64 l 5))))
(+.f64 (.f64 1/6 (pow.f64 l 3)) (+.f64 (.f64 1/5040 (pow.f64 l 7)) (+.f64 l (*.f64 1/120 (pow.f64 l 5)))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))

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

eval74.0ms (0.8%)

Compiler: Compiled 2358 to 1495 computations (36.6% saved)

prune309.0ms (3.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	120	6	126

Error

Counts

126 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	9.8b	(fma.f64 J (.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 2 (sinh.f64 l))) (.f64 2 (sinh.f64 l)))) (cos.f64 (/.f64 K 2))) U)
	1.4b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 (.f64 (cos.f64 (/.f64 K -2)) 2) (sinh.f64 l)) J U)) 2) (cbrt.f64 (fma.f64 (.f64 (*.f64 (cos.f64 (/.f64 K -2)) 2) (sinh.f64 l)) J U)))
	9.9b	(fma.f64 J (cbrt.f64 (.f64 (pow.f64 (.f64 2 (sinh.f64 l)) 3) (pow.f64 (cos.f64 (/.f64 K -2)) 3))) U)
✓	0.1b	(fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))) U)
	37.9b	(cbrt.f64 (pow.f64 (fma.f64 (.f64 (.f64 (cos.f64 (/.f64 K -2)) 2) (sinh.f64 l)) J U) 3))
▶	0.8b	(+.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))

Compiler

Compiled 274 to 206 computations (24.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (pow.f64 l 3) J))
✓	0.1b	(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
✓	0.1b	(.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J)))
✓	4.6b	(*.f64 (pow.f64 l 3) J)

series29.0ms (0.3%)

Counts

4 → 12

Calls

33 calls:

Time	Variable		Point	Expression
9.0ms	J	@	inf	(.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J)))
1.0ms	J	@	0	(.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J)))
1.0ms	K	@	inf	(.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J)))
1.0ms	K	@	0	(.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J)))
1.0ms	J	@	0	(*.f64 (pow.f64 l 3) J)

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

264×	`expm1-udef_binary64`
264×	`log1p-udef_binary64`
220×	`log-pow_binary64`
160×	`associate-r_binary64`
150×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	313	52
2	3601	52

Stop Event

1×	node limit

Counts

4 → 58

Calls

Call 1

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

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

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

870×	`distribute-rgt-out_binary64`
591×	`associate-l_binary64`
519×	`unswap-sqr_binary64`
517×	`fma-def_binary64`
481×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	354
1	147	305
2	554	251
3	3231	240
4	4862	240

Stop Event

1×	node limit

Counts

70 → 79

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (.f64 (pow.f64 l 3) J))) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(+.f64 (.f64 1/1152 (.f64 (pow.f64 K 4) (.f64 (pow.f64 l 3) J))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (.f64 (pow.f64 l 3) J))) (.f64 1/3 (.f64 (pow.f64 l 3) J))))
(+.f64 (.f64 1/1152 (.f64 (pow.f64 K 4) (.f64 (pow.f64 l 3) J))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (.f64 (pow.f64 l 3) J))) (+.f64 (.f64 -1/138240 (.f64 (pow.f64 K 6) (.f64 (pow.f64 l 3) J))) (.f64 1/3 (*.f64 (pow.f64 l 3) 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 (pow.f64 l 3) J)
(+.f64 (.f64 (pow.f64 l 3) J) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 l 3) J))))
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 (pow.f64 l 3) J))) (+.f64 (.f64 (pow.f64 l 3) J) (.f64 -1/8 (.f64 (pow.f64 K 2) (*.f64 (pow.f64 l 3) J)))))
(+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) (.f64 (pow.f64 l 3) J))) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 (pow.f64 l 3) J))) (+.f64 (.f64 (pow.f64 l 3) J) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 l 3) J))))))

Outputs
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (.f64 (pow.f64 l 3) J))) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(fma.f64 -1/24 (.f64 (.f64 (pow.f64 l 3) J) (.f64 K K)) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 (.f64 (pow.f64 l 3) J) (+.f64 1/3 (.f64 -1/24 (.f64 K K))))
(.f64 (.f64 (pow.f64 l 3) J) (fma.f64 -1/24 (*.f64 K K) 1/3))
(+.f64 (.f64 1/1152 (.f64 (pow.f64 K 4) (.f64 (pow.f64 l 3) J))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (.f64 (pow.f64 l 3) J))) (.f64 1/3 (.f64 (pow.f64 l 3) J))))
(fma.f64 1/1152 (.f64 (.f64 (pow.f64 l 3) J) (pow.f64 K 4)) (fma.f64 -1/24 (.f64 (.f64 (pow.f64 l 3) J) (.f64 K K)) (.f64 1/3 (*.f64 (pow.f64 l 3) J))))
(fma.f64 1/1152 (.f64 (.f64 (pow.f64 K 4) J) (pow.f64 l 3)) (.f64 (.f64 (pow.f64 l 3) J) (+.f64 1/3 (.f64 -1/24 (.f64 K K)))))
(.f64 (.f64 (pow.f64 l 3) J) (+.f64 1/3 (fma.f64 1/1152 (pow.f64 K 4) (.f64 -1/24 (.f64 K K)))))
(+.f64 (.f64 1/1152 (.f64 (pow.f64 K 4) (.f64 (pow.f64 l 3) J))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (.f64 (pow.f64 l 3) J))) (+.f64 (.f64 -1/138240 (.f64 (pow.f64 K 6) (.f64 (pow.f64 l 3) J))) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))))
(fma.f64 1/1152 (.f64 (.f64 (pow.f64 l 3) J) (pow.f64 K 4)) (fma.f64 -1/24 (.f64 (.f64 (pow.f64 l 3) J) (.f64 K K)) (fma.f64 -1/138240 (.f64 (.f64 (pow.f64 l 3) J) (pow.f64 K 6)) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))))
(+.f64 (.f64 (.f64 (pow.f64 l 3) J) (+.f64 1/3 (.f64 -1/138240 (pow.f64 K 6)))) (.f64 (.f64 (pow.f64 l 3) J) (+.f64 (.f64 1/1152 (pow.f64 K 4)) (.f64 -1/24 (.f64 K K)))))
(.f64 (.f64 (pow.f64 l 3) J) (+.f64 (fma.f64 -1/138240 (pow.f64 K 6) 1/3) (fma.f64 1/1152 (pow.f64 K 4) (.f64 -1/24 (.f64 K K)))))
(*.f64 l J)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 l J))) (.f64 l J))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 l J)) (.f64 l J))
(.f64 (+.f64 (.f64 (.f64 -1/8 K) K) 1) (.f64 l J))
(.f64 (.f64 l J) (fma.f64 (*.f64 K K) -1/8 1))
(.f64 l (.f64 (fma.f64 (*.f64 K K) -1/8 1) 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 1/384 (.f64 (.f64 (pow.f64 K 4) l) J) (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 l J)) (.f64 l J)))
(+.f64 (.f64 l J) (.f64 (.f64 l J) (+.f64 (.f64 (pow.f64 K 4) 1/384) (.f64 (.f64 -1/8 K) K))))
(.f64 (.f64 l J) (+.f64 (fma.f64 (.f64 K K) -1/8 1) (.f64 (pow.f64 K 4) 1/384)))
(.f64 (.f64 l J) (+.f64 1 (fma.f64 (pow.f64 K 4) 1/384 (.f64 K (.f64 K -1/8)))))
(+.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 (pow.f64 K 6) l) J) (fma.f64 1/384 (.f64 (.f64 (pow.f64 K 4) l) J) (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 l J)) (.f64 l J))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 -1/8 K) K) 1) (.f64 l J)) (.f64 (.f64 l J) (+.f64 (.f64 (pow.f64 K 6) -1/46080) (.f64 (pow.f64 K 4) 1/384))))
(fma.f64 (.f64 l J) (fma.f64 (pow.f64 K 6) -1/46080 (.f64 (pow.f64 K 4) 1/384)) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) -1/8 1)))
(.f64 (.f64 l J) (+.f64 (fma.f64 (.f64 K K) -1/8 1) (fma.f64 (pow.f64 K 6) -1/46080 (.f64 (pow.f64 K 4) 1/384))))
(*.f64 (pow.f64 l 3) J)
(+.f64 (.f64 (pow.f64 l 3) J) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 l 3) J))))
(fma.f64 (pow.f64 l 3) J (.f64 (.f64 -1/8 (.f64 K K)) (.f64 (pow.f64 l 3) J)))
(.f64 (+.f64 (.f64 (.f64 -1/8 K) K) 1) (.f64 (pow.f64 l 3) J))
(.f64 (.f64 (pow.f64 l 3) J) (fma.f64 (*.f64 K K) -1/8 1))
(.f64 (pow.f64 l 3) (.f64 (fma.f64 (*.f64 K K) -1/8 1) J))
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 (pow.f64 l 3) J))) (+.f64 (.f64 (pow.f64 l 3) J) (.f64 -1/8 (.f64 (pow.f64 K 2) (*.f64 (pow.f64 l 3) J)))))
(fma.f64 1/384 (.f64 (.f64 (pow.f64 l 3) J) (pow.f64 K 4)) (fma.f64 (pow.f64 l 3) J (.f64 (.f64 -1/8 (.f64 K K)) (.f64 (pow.f64 l 3) J))))
(fma.f64 (.f64 (.f64 (pow.f64 K 4) J) (pow.f64 l 3)) 1/384 (.f64 (+.f64 (.f64 (.f64 -1/8 K) K) 1) (.f64 (pow.f64 l 3) J)))
(.f64 (.f64 (pow.f64 l 3) J) (+.f64 (fma.f64 (.f64 K K) -1/8 1) (.f64 (pow.f64 K 4) 1/384)))
(.f64 (.f64 (pow.f64 l 3) J) (+.f64 1 (fma.f64 (pow.f64 K 4) 1/384 (.f64 K (.f64 K -1/8)))))
(+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) (.f64 (pow.f64 l 3) J))) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 (pow.f64 l 3) J))) (+.f64 (.f64 (pow.f64 l 3) J) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 l 3) J))))))
(fma.f64 -1/46080 (.f64 (.f64 (pow.f64 l 3) J) (pow.f64 K 6)) (fma.f64 1/384 (.f64 (.f64 (pow.f64 l 3) J) (pow.f64 K 4)) (fma.f64 (pow.f64 l 3) J (.f64 (.f64 -1/8 (.f64 K K)) (.f64 (pow.f64 l 3) J)))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 -1/8 K) K) 1) (.f64 (pow.f64 l 3) J)) (.f64 (.f64 (pow.f64 l 3) J) (+.f64 (.f64 (pow.f64 K 6) -1/46080) (.f64 (pow.f64 K 4) 1/384))))
(fma.f64 (.f64 (pow.f64 l 3) J) (fma.f64 (pow.f64 K 6) -1/46080 (.f64 (pow.f64 K 4) 1/384)) (.f64 (.f64 (pow.f64 l 3) J) (fma.f64 (*.f64 K K) -1/8 1)))
(.f64 (.f64 (pow.f64 l 3) J) (+.f64 (fma.f64 (.f64 K K) -1/8 1) (fma.f64 (pow.f64 K 6) -1/46080 (.f64 (pow.f64 K 4) 1/384))))

eval47.0ms (0.5%)

Compiler: Compiled 2364 to 1668 computations (29.4% saved)

prune214.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	79	6	85

Error

Counts

85 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	12.2b	(+.f64 (.f64 2 (cbrt.f64 (pow.f64 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))) 3))) (+.f64 (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J))) U))
	9.9b	(fma.f64 J (cbrt.f64 (.f64 (pow.f64 (.f64 2 (sinh.f64 l)) 3) (pow.f64 (cos.f64 (/.f64 K -2)) 3))) U)
	9.8b	(fma.f64 J (.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 2 (sinh.f64 l))) (.f64 2 (sinh.f64 l)))) (cos.f64 (/.f64 K 2))) U)
▶	1.4b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 (.f64 (cos.f64 (/.f64 K -2)) 2) (sinh.f64 l)) J U)) 2) (cbrt.f64 (fma.f64 (.f64 (*.f64 (cos.f64 (/.f64 K -2)) 2) (sinh.f64 l)) J U)))
✓	0.1b	(fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))) U)
✓	0.8b	(+.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))

Compiler

Compiled 271 to 204 computations (24.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series67.0ms (0.7%)

Counts

4 → 136

Calls

42 calls:

Time	Variable		Point	Expression
14.0ms	l	@	-inf	(cbrt.f64 (fma.f64 (.f64 (.f64 (cos.f64 (/.f64 K -2)) 2) (sinh.f64 l)) J U))
5.0ms	K	@	inf	(.f64 (.f64 (cos.f64 (/.f64 K -2)) 2) (sinh.f64 l))
4.0ms	K	@	0	(cbrt.f64 (fma.f64 (.f64 (.f64 (cos.f64 (/.f64 K -2)) 2) (sinh.f64 l)) J U))
4.0ms	K	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 (.f64 (.f64 (cos.f64 (/.f64 K -2)) 2) (sinh.f64 l)) J U)) 2)
4.0ms	K	@	0	(pow.f64 (cbrt.f64 (fma.f64 (.f64 (.f64 (cos.f64 (/.f64 K -2)) 2) (sinh.f64 l)) J U)) 2)

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

263×	`expm1-udef_binary64`
263×	`log1p-udef_binary64`
198×	`prod-diff_binary64`
155×	`add-sqr-sqrt_binary64`
149×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	75
1	334	75
2	3655	75

Stop Event

1×	node limit

Counts

4 → 96

Calls

Call 1

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

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

simplify133.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

537×	`associate-r_binary64`
437×	`associate-l_binary64`
327×	`fma-def_binary64`
312×	`*-commutative_binary64`
237×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	357	6844
1	1174	6336
2	4368	6236

Stop Event

1×	node limit

Counts

232 → 201

Calls

Call 1

Inputs
(pow.f64 (+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U) 1/3)
(+.f64 (pow.f64 (+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U) 1/3) (.f64 -1/24 (.f64 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) 2)) 1/3))))
(+.f64 (pow.f64 (+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/384 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/192 (.f64 (pow.f64 (/.f64 (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) (pow.f64 (+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U) 4)) 1/3) (.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))))) (pow.f64 K 4)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) 2)) 1/3))) (.f64 -1/24 (.f64 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) 2)) 1/3)))))
(+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 K 6) (-.f64 (.f64 -1/46080 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (+.f64 (.f64 -1/13824 (/.f64 (.f64 (pow.f64 J 3) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3)) (pow.f64 (+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U) 2))) (.f64 -1/12 (.f64 (pow.f64 (/.f64 (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) (pow.f64 (+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U) 4)) 1/3) (.f64 (-.f64 (.f64 1/384 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/192 (.f64 (pow.f64 (/.f64 (+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U) (pow.f64 (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) 4)) 1/3) (.f64 (pow.f64 J 2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2))))) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) 2)) 1/3))) (+.f64 (pow.f64 (+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/384 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/192 (.f64 (pow.f64 (/.f64 (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) (pow.f64 (+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U) 4)) 1/3) (.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))))) (pow.f64 K 4)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) 2)) 1/3))) (.f64 -1/24 (.f64 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) 2)) 1/3))))))
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U) 1/3)
(pow.f64 U 1/3)
(+.f64 (pow.f64 U 1/3) (.f64 2/3 (.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 l J)) (pow.f64 (/.f64 1 (pow.f64 U 2)) 1/9))))
(+.f64 (pow.f64 U 1/3) (+.f64 (.f64 2/3 (.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (.f64 l J)) (pow.f64 (/.f64 1 (pow.f64 U 2)) 1/9))) (.f64 -4/9 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 K)) 2) (.f64 (pow.f64 l 2) (pow.f64 J 2))) (pow.f64 (/.f64 1 (pow.f64 U 7)) 1/9)))))
(+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/3 (.f64 (cos.f64 (.f64 -1/2 K)) J)) (+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 K)) 3) (pow.f64 J 3)) (pow.f64 (/.f64 1 (pow.f64 U 2)) 1/3))) (.f64 8/27 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 K)) 3) (pow.f64 J 3)) (pow.f64 (/.f64 1 (pow.f64 U 2)) 1/3))))) (pow.f64 l 3)) (pow.f64 (/.f64 1 (pow.f64 U 2)) 1/3))) (+.f64 (pow.f64 U 1/3) (+.f64 (.f64 2/3 (.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (.f64 l J)) (pow.f64 (/.f64 1 (pow.f64 U 2)) 1/9))) (.f64 -4/9 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 K)) 2) (.f64 (pow.f64 l 2) (pow.f64 J 2))) (pow.f64 (/.f64 1 (pow.f64 U 7)) 1/9))))))
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U) 1/3)
(pow.f64 U 1/3)
(+.f64 (.f64 1/3 (.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (pow.f64 (/.f64 1 (pow.f64 U 2)) 1/9))) (pow.f64 U 1/3))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 K)) 2) (.f64 (pow.f64 J 2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2))) (pow.f64 (/.f64 1 (pow.f64 U 7)) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (pow.f64 (/.f64 1 (pow.f64 U 2)) 1/9))) (pow.f64 U 1/3)))
(+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 K)) 3) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3)) (pow.f64 (/.f64 1 (pow.f64 U 2)) 1/3))) (.f64 1/27 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 K)) 3) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3)) (pow.f64 (/.f64 1 (pow.f64 U 2)) 1/3)))) (pow.f64 J 3)) (pow.f64 (/.f64 1 (pow.f64 U 2)) 1/3))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 K)) 2) (.f64 (pow.f64 J 2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2))) (pow.f64 (/.f64 1 (pow.f64 U 7)) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (pow.f64 (/.f64 1 (pow.f64 U 2)) 1/9))) (pow.f64 U 1/3))))
(pow.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3)
(+.f64 (pow.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 K)) 2) (.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2)))) 1/9) U)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 K)) 7) (.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 7) (pow.f64 J 7)))) 1/9) (pow.f64 U 2))) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 K)) 2) (*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2)))) 1/9) U))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 K)) 7) (.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 7) (pow.f64 J 7)))) 1/9) (pow.f64 U 2))) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 K)) 2) (.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2)))) 1/9) U)) (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 K)) 2) (.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2)))) 1/3)) (.f64 1/27 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 K)) 2) (.f64 (pow.f64 J 2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2)))) 1/3))) (pow.f64 U 3)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 -1/2 K)) 2) (*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2)))) 1/3))))))
(pow.f64 (pow.f64 (+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) 2) 1/3)
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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)
(.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
U
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
U
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))
(-.f64 (+.f64 (exp.f64 l) (.f64 -1/8 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (/.f64 1 (exp.f64 l)))
(-.f64 (+.f64 (exp.f64 l) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/384 (.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))) (/.f64 1 (exp.f64 l)))
(-.f64 (+.f64 (exp.f64 l) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/384 (.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))) (/.f64 1 (exp.f64 l)))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 2 (.f64 l (cos.f64 (*.f64 -1/2 K))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 -1/2 K)))) (.f64 2 (.f64 l (cos.f64 (.f64 -1/2 K)))))
(+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) (cos.f64 (.f64 -1/2 K)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 -1/2 K)))) (.f64 2 (.f64 l (cos.f64 (*.f64 -1/2 K))))))
(+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) (cos.f64 (.f64 -1/2 K)))) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) (cos.f64 (.f64 -1/2 K)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 -1/2 K)))) (.f64 2 (.f64 l (cos.f64 (.f64 -1/2 K)))))))
(.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))))

Outputs
(pow.f64 (+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U) 1/3)
(cbrt.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+.f64 (pow.f64 (+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U) 1/3) (.f64 -1/24 (.f64 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) 2)) 1/3))))
(+.f64 (cbrt.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)) (.f64 (.f64 -1/24 (.f64 (.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 2)))))
(fma.f64 (.f64 (.f64 -1/24 (.f64 J (.f64 K K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 2))) (cbrt.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)))
(+.f64 (pow.f64 (+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/384 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/192 (.f64 (pow.f64 (/.f64 (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) (pow.f64 (+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U) 4)) 1/3) (.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))))) (pow.f64 K 4)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) 2)) 1/3))) (.f64 -1/24 (.f64 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) 2)) 1/3)))))
(+.f64 (cbrt.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 2))) (.f64 (pow.f64 K 4) (+.f64 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) 1/384) (.f64 -1/192 (.f64 (cbrt.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 4))) (.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))))))) (.f64 (.f64 -1/24 (.f64 (.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 2))))))
(+.f64 (cbrt.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 2))) (+.f64 (.f64 (.f64 -1/24 (.f64 J (.f64 K K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 1/3 (.f64 (pow.f64 K 4) (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) 1/384 (.f64 (.f64 -1/192 (.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))) (cbrt.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 4))))))))))
(+.f64 (cbrt.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 2))) (+.f64 (.f64 (.f64 -1/24 (.f64 J (.f64 K K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 1/3 (.f64 (pow.f64 K 4) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J 1/384) (.f64 (.f64 -1/192 (.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))) (cbrt.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 4))))))))))
(+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 K 6) (-.f64 (.f64 -1/46080 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (+.f64 (.f64 -1/13824 (/.f64 (.f64 (pow.f64 J 3) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3)) (pow.f64 (+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U) 2))) (.f64 -1/12 (.f64 (pow.f64 (/.f64 (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) (pow.f64 (+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U) 4)) 1/3) (.f64 (-.f64 (.f64 1/384 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/192 (.f64 (pow.f64 (/.f64 (+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U) (pow.f64 (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) 4)) 1/3) (.f64 (pow.f64 J 2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2))))) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) 2)) 1/3))) (+.f64 (pow.f64 (+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/384 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/192 (.f64 (pow.f64 (/.f64 (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) (pow.f64 (+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U) 4)) 1/3) (.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))))) (pow.f64 K 4)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) 2)) 1/3))) (.f64 -1/24 (.f64 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U) 2)) 1/3))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 2))) (.f64 (pow.f64 K 6) (-.f64 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) -1/46080) (fma.f64 -1/13824 (/.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 3) (/.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 2) (pow.f64 J 3))) (.f64 -1/12 (.f64 (+.f64 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) 1/384) (.f64 -1/192 (.f64 (cbrt.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 4))) (.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))))) (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cbrt.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 4)))))))))) (+.f64 (cbrt.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 2))) (.f64 (pow.f64 K 4) (+.f64 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) 1/384) (.f64 -1/192 (.f64 (cbrt.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 4))) (.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))))))) (.f64 (.f64 -1/24 (.f64 (.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 2)))))))
(+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 2))) (+.f64 (.f64 (.f64 -1/24 (.f64 J (.f64 K K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 1/3 (.f64 (pow.f64 K 4) (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) 1/384 (.f64 (.f64 -1/192 (.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))) (cbrt.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 4))))))))) (fma.f64 1/3 (.f64 (-.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J -1/46080)) (fma.f64 -1/12 (.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) 1/384 (.f64 (.f64 -1/192 (.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))) (cbrt.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 4))))) (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cbrt.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 4))))) (/.f64 (.f64 (.f64 -1/13824 (pow.f64 J 3)) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 3)) (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 2)))) (.f64 (pow.f64 K 6) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 2))))) (cbrt.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))))
(+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 2))) (+.f64 (.f64 (.f64 -1/24 (.f64 J (.f64 K K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 1/3 (.f64 (pow.f64 K 4) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J 1/384) (.f64 (.f64 -1/192 (.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))) (cbrt.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 4))))))))) (fma.f64 1/3 (.f64 (-.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J -1/46080)) (fma.f64 -1/12 (.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J 1/384) (.f64 (.f64 -1/192 (.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))) (cbrt.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 4))))) (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cbrt.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 4))))) (/.f64 (.f64 (.f64 -1/13824 (pow.f64 J 3)) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 3)) (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 2)))) (.f64 (pow.f64 K 6) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) 2))))) (cbrt.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))))
(pow.f64 (+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U))
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(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
U
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
(.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K -1/2)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 K -1/2))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
(.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K -1/2)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 K -1/2))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
(.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K -1/2)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 K -1/2))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
U
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
U
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(fma.f64 (cos.f64 (.f64 K -1/2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K -1/2)) U)
(-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (+.f64 (exp.f64 l) (.f64 -1/8 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (/.f64 1 (exp.f64 l)))
(+.f64 (exp.f64 l) (-.f64 (.f64 (.f64 -1/8 (*.f64 K K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (exp.f64 (neg.f64 l))))
(-.f64 (fma.f64 (.f64 (.f64 K K) -1/8) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(-.f64 (+.f64 (exp.f64 l) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/384 (.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))) (/.f64 1 (exp.f64 l)))
(+.f64 (exp.f64 l) (-.f64 (fma.f64 -1/8 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 K K)) (.f64 (.f64 1/384 (pow.f64 K 4)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (exp.f64 (neg.f64 l))))
(+.f64 (exp.f64 l) (-.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 (.f64 (.f64 K K) -1/8) (.f64 1/384 (pow.f64 K 4)))) (exp.f64 (neg.f64 l))))
(+.f64 (exp.f64 l) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 (.f64 (.f64 K K) -1/8) (*.f64 1/384 (pow.f64 K 4))) (/.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 (exp.f64 l) (-.f64 (fma.f64 -1/8 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 K K)) (fma.f64 -1/46080 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (pow.f64 K 6)) (.f64 (*.f64 1/384 (pow.f64 K 4)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (exp.f64 (neg.f64 l))))
(+.f64 (fma.f64 (.f64 (.f64 K K) -1/8) (-.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 (pow.f64 K 6) -1/46080))) (exp.f64 (neg.f64 l))))
(+.f64 (fma.f64 (.f64 (.f64 K K) -1/8) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (exp.f64 l)) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 (pow.f64 K 6) -1/46080)) (/.f64 -1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K -1/2)))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K -1/2)))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K -1/2)))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K -1/2)))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K -1/2)))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K -1/2)))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K -1/2)))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K -1/2)))
(.f64 2 (.f64 l (cos.f64 (*.f64 -1/2 K))))
(.f64 (.f64 2 l) (cos.f64 (*.f64 K -1/2)))
(.f64 l (.f64 (cos.f64 (*.f64 K -1/2)) 2))
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 -1/2 K)))) (.f64 2 (.f64 l (cos.f64 (.f64 -1/2 K)))))
(fma.f64 1/3 (.f64 (cos.f64 (.f64 K -1/2)) (pow.f64 l 3)) (.f64 (.f64 2 l) (cos.f64 (*.f64 K -1/2))))
(.f64 (cos.f64 (.f64 K -1/2)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 l 2)))
(+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) (cos.f64 (.f64 -1/2 K)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 -1/2 K)))) (.f64 2 (.f64 l (cos.f64 (*.f64 -1/2 K))))))
(fma.f64 1/60 (.f64 (cos.f64 (.f64 K -1/2)) (pow.f64 l 5)) (fma.f64 1/3 (.f64 (cos.f64 (.f64 K -1/2)) (pow.f64 l 3)) (.f64 (.f64 2 l) (cos.f64 (*.f64 K -1/2)))))
(fma.f64 1/60 (.f64 (cos.f64 (.f64 K -1/2)) (pow.f64 l 5)) (.f64 (cos.f64 (.f64 K -1/2)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 l 2))))
(+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) (cos.f64 (.f64 -1/2 K)))) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) (cos.f64 (.f64 -1/2 K)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 -1/2 K)))) (.f64 2 (.f64 l (cos.f64 (.f64 -1/2 K)))))))
(fma.f64 1/60 (.f64 (cos.f64 (.f64 K -1/2)) (pow.f64 l 5)) (fma.f64 1/2520 (.f64 (cos.f64 (.f64 K -1/2)) (pow.f64 l 7)) (fma.f64 1/3 (.f64 (cos.f64 (.f64 K -1/2)) (pow.f64 l 3)) (.f64 (.f64 2 l) (cos.f64 (*.f64 K -1/2))))))
(+.f64 (.f64 (cos.f64 (.f64 K -1/2)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 l 2))) (.f64 (cos.f64 (.f64 K -1/2)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (.f64 1/2520 (pow.f64 l 7)))))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K -1/2)))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K -1/2)))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K -1/2)))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K -1/2)))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K -1/2)))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K -1/2)))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K -1/2)))
(.f64 (cos.f64 (.f64 -1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K -1/2)))

eval299.0ms (3.2%)

Compiler: Compiled 15314 to 9572 computations (37.5% saved)

prune300.0ms (3.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	292	0	292
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	292	6	298

Error

Counts

298 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	12.2b	(+.f64 (.f64 2 (cbrt.f64 (pow.f64 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))) 3))) (+.f64 (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J))) U))
	9.9b	(fma.f64 J (cbrt.f64 (.f64 (pow.f64 (.f64 2 (sinh.f64 l)) 3) (pow.f64 (cos.f64 (/.f64 K -2)) 3))) U)
	9.8b	(fma.f64 J (.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 2 (sinh.f64 l))) (.f64 2 (sinh.f64 l)))) (cos.f64 (/.f64 K 2))) U)
✓	1.4b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 (.f64 (cos.f64 (/.f64 K -2)) 2) (sinh.f64 l)) J U)) 2) (cbrt.f64 (fma.f64 (.f64 (*.f64 (cos.f64 (/.f64 K -2)) 2) (sinh.f64 l)) J U)))
✓	0.1b	(fma.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))) U)
✓	0.8b	(+.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))

Compiler

Compiled 158 to 119 computations (24.7% saved)

regimes76.0ms (0.8%)

Accuracy

Total -47.2b remaining (-72850.7%)

Threshold costs -47.2b (-72850.7%)

Counts

13 → 1

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
8.0ms	0.1b	1	`J`
7.0ms	0.1b	1	`l`
8.0ms	0.1b	1	`K`
7.0ms	0.1b	1	`U`
8.0ms	0.1b	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)`
4.0ms	0.1b	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))`
3.0ms	0.1b	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
3.0ms	0.1b	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
3.0ms	0.1b	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
6.0ms	0.1b	1	`(cos.f64 (/.f64 K 2))`
8.0ms	0.1b	1	`(/.f64 K 2)`

Compiler

Compiled 423 to 291 computations (31.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	14	18

Stop Event

1×

saturated

Calls

Call 1

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

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

end26.0ms (0.3%)

Stop Event

1×

fuel

Compiler

Compiled 32 to 24 computations (25% saved)

Details

analyze1.7s (17.6%)

sample5.5s (57.6%)

preprocess43.0ms (0.5%)

simplify27.0ms (0.3%)

eval1.0ms (0%)

prune2.0ms (0%)

localize11.0ms (0.1%)

series17.0ms (0.2%)

rewrite119.0ms (1.3%)

simplify57.0ms (0.6%)

eval28.0ms (0.3%)

prune129.0ms (1.4%)

localize10.0ms (0.1%)

series19.0ms (0.2%)

rewrite52.0ms (0.5%)

simplify68.0ms (0.7%)

eval74.0ms (0.8%)

prune309.0ms (3.3%)

localize16.0ms (0.2%)

series29.0ms (0.3%)

rewrite56.0ms (0.6%)

simplify47.0ms (0.5%)

eval47.0ms (0.5%)

prune214.0ms (2.3%)

localize17.0ms (0.2%)

series67.0ms (0.7%)

rewrite66.0ms (0.7%)

simplify133.0ms (1.4%)

eval299.0ms (3.2%)

prune300.0ms (3.2%)

regimes76.0ms (0.8%)

simplify2.0ms (0%)

end26.0ms (0.3%)

Profiling