Details

analyze421.0ms (1.8%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 15 computations (25% saved)

sample4.3s (18.3%)

Results

1.1s	5300×	body	256	valid
917.0ms	1687×	body	1024	valid
917.0ms	2071×	body	1024	infinite
612.0ms	3788×	body	256	infinite
421.0ms	1218×	body	512	valid
298.0ms	1020×	body	512	infinite
39.0ms	51×	body	2048	valid

Bogosity

preprocess67.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

15.9b

Counts

5 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 65 to 24 computations (63.1% saved)

series50.0ms (0.2%)

Counts

4 → 80

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	K	@	-inf	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
4.0ms	l	@	0	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
4.0ms	K	@	0	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
4.0ms	l	@	0	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
3.0ms	J	@	0	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))

Compiler

Compiled 1587 to 1208 computations (23.9% saved)

rewrite90.0ms (0.4%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 41

Calls

Call 1

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

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

simplify71.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

865×	`fma-def_binary64`
470×	`unswap-sqr_binary64`
382×	`log-prod_binary64`
270×	`associate-r_binary64`
267×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	1879
1	513	1824
2	2154	1754
3	7043	1754

Stop Event

1×	node limit

Counts

121 → 127

Calls

Call 1

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

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

eval45.0ms (0.2%)

Compiler: Compiled 2878 to 1609 computations (44.1% saved)

prune25.0ms (0.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	121	6	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	6	128

Error

0.0b

Counts

128 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.3b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
▶	0.5b	(+.f64 (.f64 (.f64 (+.f64 l l) J) (cos.f64 (/.f64 K 2))) U)
	0.4b	(+.f64 (.f64 (.f64 J (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2))) U)
▶	31.6b	(+.f64 (.f64 (.f64 J (.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2))) U)
▶	0.0b	(+.f64 (.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) U)
▶	23.2b	(+.f64 (exp.f64 (log.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))))) U)

Compiler

Compiled 240 to 178 computations (25.8% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 59 to 37 computations (37.3% saved)

series74.0ms (0.3%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
8.0ms	K	@	0	(+.f64 (.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) U)
7.0ms	K	@	-inf	(.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))
4.0ms	K	@	0	(.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))
4.0ms	K	@	0	(.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))
4.0ms	l	@	0	(.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))))

Compiler

Compiled 2911 to 2120 computations (27.2% saved)

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`log-prod_binary64`
385×	`pow2_binary64`
346×	`fma-def_binary64`
283×	`pow-unpow_binary64`
268×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	296	49
2	3763	49

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

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

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

simplify99.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

335×	`log-prod_binary64`
313×	`associate-l_binary64`
297×	`associate-r_binary64`
268×	`cancel-sign-sub-inv_binary64`
239×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	407	5393
1	1028	5177
2	3812	5055

Stop Event

1×	node limit

Counts

257 → 262

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (.f64 1/3 (.f64 (pow.f64 l 3) (.f64 (cos.f64 (.f64 1/2 K)) J))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 5) J))) (.f64 1/3 (.f64 (pow.f64 l 3) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 5) J))) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (.f64 (cos.f64 (.f64 1/2 K)) J))) (.f64 1/2520 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 7) J))))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) l)
(+.f64 (.f64 1/6 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 (cos.f64 (*.f64 1/2 K)) l))
(+.f64 (.f64 1/6 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 1/120 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 5))) (.f64 (cos.f64 (.f64 1/2 K)) l)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 1/120 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 5))) (+.f64 (.f64 1/5040 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 7))) (.f64 (cos.f64 (*.f64 1/2 K)) l))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 -1/16 (*.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/768 (*.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(+.f64 (.f64 -1/92160 (.f64 (pow.f64 K 6) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (+.f64 (.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/768 (*.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
l
(+.f64 (*.f64 1/6 (pow.f64 l 3)) l)
(+.f64 (.f64 1/6 (pow.f64 l 3)) (+.f64 l (.f64 1/120 (pow.f64 l 5))))
(+.f64 (.f64 1/6 (pow.f64 l 3)) (+.f64 (.f64 1/5040 (pow.f64 l 7)) (+.f64 l (*.f64 1/120 (pow.f64 l 5)))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
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)
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(log.f64 (.f64 (exp.f64 U) (+.f64 1 (expm1.f64 (.f64 J (.f64 (sinh.f64 l) (.f64 (cos.f64 (*.f64 1/2 K)) 2)))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 U)) (+.f64 1 (expm1.f64 (.f64 J (.f64 (sinh.f64 l) (.f64 (cos.f64 (*.f64 1/2 K)) 2)))))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 (.f64 J 2) (sinh.f64 l)) (cos.f64 (*.f64 1/2 K)) U) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 (.f64 J 2) (sinh.f64 l)) (cos.f64 (*.f64 1/2 K)) U)))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 (.f64 J 2) (sinh.f64 l)) (cos.f64 (*.f64 1/2 K)) U)))
(exp.f64 (log.f64 (fma.f64 (.f64 (.f64 J 2) (sinh.f64 l)) (cos.f64 (*.f64 1/2 K)) U)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (.f64 J 2) (sinh.f64 l)) (cos.f64 (.f64 1/2 K)) U)) 1))
(fma.f64 J (.f64 (sinh.f64 l) (.f64 (cos.f64 (*.f64 1/2 K)) 2)) U)
(fma.f64 2 (.f64 (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))) J) U)
(fma.f64 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))) (*.f64 J 2) U)
(fma.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (*.f64 1/2 K)) 2)) J U)
(fma.f64 (.f64 J (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) 2))) 1 U)
(fma.f64 U 1 (.f64 J (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) 2))))
(fma.f64 1 (.f64 J (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) 2))) U)
(fma.f64 1 U (.f64 J (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) 2))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) 2))) 2) (.f64 (cbrt.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (*.f64 1/2 K)) 2))) J) U)
(fma.f64 (pow.f64 (cbrt.f64 J) 2) (.f64 (cbrt.f64 J) (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) 2))) U)
(fma.f64 (cbrt.f64 (.f64 J (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) 2)))) (pow.f64 (cbrt.f64 (.f64 J (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) 2)))) 2) U)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 J (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) 2)))) 2) (cbrt.f64 (.f64 J (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) 2)))) U)
(fma.f64 (cbrt.f64 U) (cbrt.f64 (.f64 U U)) (.f64 J (.f64 (sinh.f64 l) (.f64 (cos.f64 (*.f64 1/2 K)) 2))))
(fma.f64 (cbrt.f64 (.f64 U U)) (cbrt.f64 U) (.f64 J (.f64 (sinh.f64 l) (.f64 (cos.f64 (*.f64 1/2 K)) 2))))
(fma.f64 (sqrt.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) 2))) (.f64 (sqrt.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (*.f64 1/2 K)) 2))) J) U)
(fma.f64 (sqrt.f64 J) (.f64 (sqrt.f64 J) (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) 2))) U)
(fma.f64 (sqrt.f64 (.f64 J (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) 2)))) (sqrt.f64 (.f64 J (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) 2)))) U)
(fma.f64 (sqrt.f64 U) (sqrt.f64 U) (.f64 J (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) 2))))
(fma.f64 (.f64 2 (sinh.f64 l)) (.f64 (cos.f64 (*.f64 1/2 K)) J) U)
(fma.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K))) U)
(fma.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (*.f64 1/2 K)))) 2 U)
(fma.f64 (.f64 J (pow.f64 (cbrt.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) 2))) 2)) (cbrt.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (*.f64 1/2 K)) 2))) U)
(fma.f64 (.f64 J (sqrt.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) 2)))) (sqrt.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (*.f64 1/2 K)) 2))) U)
(fma.f64 (.f64 J (.f64 2 (sinh.f64 l))) (cos.f64 (*.f64 1/2 K)) U)
(fma.f64 (.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) 2)) (pow.f64 (cbrt.f64 J) 2)) (cbrt.f64 J) U)
(fma.f64 (.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 1/2 K)) 2)) (sqrt.f64 J)) (sqrt.f64 J) U)
(fma.f64 (.f64 (.f64 J 2) (sinh.f64 l)) (cos.f64 (*.f64 1/2 K)) U)
(fma.f64 (.f64 (.f64 J 2) (cos.f64 (*.f64 1/2 K))) (sinh.f64 l) U)
(fma.f64 (.f64 (.f64 J 2) 1) (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))) U)
(fma.f64 (.f64 (.f64 J 2) (cbrt.f64 (pow.f64 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))) 2))) (cbrt.f64 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) U)
(fma.f64 (.f64 (.f64 J 2) (sqrt.f64 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) (sqrt.f64 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K)))) U)

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

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 46 to 21 computations (54.3% saved)

series34.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	U	@	inf	(+.f64 (.f64 (.f64 (+.f64 l l) J) (cos.f64 (/.f64 K 2))) U)
2.0ms	l	@	0	(.f64 (.f64 (+.f64 l l) J) (cos.f64 (/.f64 K 2)))
2.0ms	J	@	0	(.f64 (.f64 (+.f64 l l) J) (cos.f64 (/.f64 K 2)))
2.0ms	J	@	inf	(.f64 (.f64 (+.f64 l l) J) (cos.f64 (/.f64 K 2)))
2.0ms	K	@	inf	(.f64 (.f64 (+.f64 l l) J) (cos.f64 (/.f64 K 2)))

Compiler

Compiled 1526 to 1165 computations (23.7% saved)

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

104×	`associate-r_binary64`
101×	`associate-l_binary64`
79×	`*-commutative_binary64`
78×	`fma-def_binary64`
53×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	3086
1	550	3086
2	1715	3086

Stop Event

1×

unsound

Counts

164 → 125

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 38 to 10 computations (73.7% saved)

series8.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

Compiler

Compiled 352 to 272 computations (22.7% saved)

rewrite24.0ms (0.1%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 6

Calls

Call 1

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

Outputs

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

simplify41.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

14 → 27

Calls

Call 1

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

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

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2)))
✓	0.1b	(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))
✓	2.0b	(exp.f64 (log.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))))
✓	15.7b	(log.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))))

Compiler

Compiled 83 to 54 computations (34.9% saved)

series253.0ms (1.1%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
39.0ms	l	@	-inf	(log.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))))
36.0ms	J	@	0	(log.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))))
29.0ms	K	@	inf	(log.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))))
25.0ms	J	@	-inf	(log.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))))
18.0ms	l	@	inf	(log.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))))

Compiler

Compiled 5065 to 3820 computations (24.6% saved)

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`log-prod_binary64`
403×	`pow-prod-down_binary64`
332×	`pow2_binary64`
253×	`pow-unpow_binary64`
236×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	270	67
2	3110	67

Stop Event

1×	node limit

Counts

4 → 179

Calls

Call 1

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

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

simplify139.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

529×	`log-prod_binary64`
358×	`associate-l_binary64`
354×	`associate-r_binary64`
343×	`sqr-pow_binary64`
288×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	504	7978
1	1310	7702
2	4656	7443

Stop Event

1×	node limit

Counts

311 → 282

Calls

Call 1

Inputs
(+.f64 (log.f64 J) (log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(+.f64 (log.f64 J) (log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(+.f64 (log.f64 J) (log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(+.f64 (log.f64 J) (log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(+.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (*.f64 -1 (log.f64 (/.f64 1 J))))
(+.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (*.f64 -1 (log.f64 (/.f64 1 J))))
(+.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (*.f64 -1 (log.f64 (/.f64 1 J))))
(+.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (*.f64 -1 (log.f64 (/.f64 1 J))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 J))) (log.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 J))) (log.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 J))) (log.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 J))) (log.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(+.f64 (log.f64 l) (log.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(+.f64 (.f64 1/6 (pow.f64 l 2)) (+.f64 (log.f64 l) (log.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(+.f64 (.f64 1/6 (pow.f64 l 2)) (+.f64 (.f64 1/24 (.f64 (+.f64 1/5 (.f64 -3 (/.f64 (pow.f64 (.f64 2/3 (.f64 (cos.f64 (.f64 1/2 K)) J)) 2) (pow.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) J)) 2)))) (pow.f64 l 4))) (+.f64 (log.f64 l) (log.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(+.f64 (.f64 1/6 (pow.f64 l 2)) (+.f64 (.f64 1/720 (.f64 (pow.f64 l 6) (+.f64 1/7 (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 J 2) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)) (pow.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) J)) 2))) (.f64 30 (/.f64 (pow.f64 (.f64 2/3 (.f64 (cos.f64 (.f64 1/2 K)) J)) 3) (pow.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) J)) 3))))))) (+.f64 (.f64 1/24 (.f64 (+.f64 1/5 (.f64 -3 (/.f64 (pow.f64 (.f64 2/3 (.f64 (cos.f64 (.f64 1/2 K)) J)) 2) (pow.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) J)) 2)))) (pow.f64 l 4))) (+.f64 (log.f64 l) (log.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) J)))))))
(log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(log.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(+.f64 (log.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 -1/8 (pow.f64 K 2)))
(+.f64 (log.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (+.f64 (.f64 -1/8 (pow.f64 K 2)) (.f64 1/24 (.f64 (pow.f64 K 4) (+.f64 1/16 (.f64 -3 (/.f64 (pow.f64 (.f64 -1/4 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) 2) (pow.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 2))))))))
(+.f64 (log.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (+.f64 (.f64 -1/8 (pow.f64 K 2)) (+.f64 (.f64 1/720 (.f64 (-.f64 (+.f64 (.f64 30 (/.f64 (pow.f64 (.f64 -1/4 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) 3) (pow.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 3))) (.f64 15/64 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2)) (pow.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 2)))) 1/64) (pow.f64 K 6))) (.f64 1/24 (.f64 (pow.f64 K 4) (+.f64 1/16 (.f64 -3 (/.f64 (pow.f64 (.f64 -1/4 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) 2) (pow.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 2)))))))))
(log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (.f64 1/3 (.f64 (pow.f64 l 3) (.f64 (cos.f64 (.f64 1/2 K)) J))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 5) J))) (.f64 1/3 (.f64 (pow.f64 l 3) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 5) J))) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (.f64 (cos.f64 (.f64 1/2 K)) J))) (.f64 1/2520 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 7) J))))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (+.f64 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
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(.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2)) (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (sqrt.f64 (cos.f64 (.f64 K 1/2)))) (sqrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (exp.f64 1) (log.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) (pow.f64 (exp.f64 1) (log.f64 J)))
(.f64 (pow.f64 (exp.f64 1) (log.f64 J)) (pow.f64 (exp.f64 1) (log.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))
(.f64 (pow.f64 (exp.f64 1) (.f64 2 (log.f64 (cbrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))))
(.f64 (pow.f64 (exp.f64 1) (log.f64 (.f64 J (.f64 2 (sinh.f64 l))))) (pow.f64 (exp.f64 1) (log.f64 (cos.f64 (.f64 K 1/2)))))
(.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))))))))
(.f64 (pow.f64 (exp.f64 1) (.f64 (log.f64 J) 1)) (pow.f64 (exp.f64 1) (.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))) 1)))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))) (pow.f64 (exp.f64 1) 1))
(pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))) 1)
(pow.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))) 3)
(pow.f64 (sqrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) (.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2)) (.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))))) 1))
(pow.f64 (exp.f64 1) (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) 1) (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) (cbrt.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) (sqrt.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))) (sqrt.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2)) 1) (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))) (cbrt.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))) (sqrt.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))
(sqrt.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 K 1/2)))) J))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))
(+.f64 0 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 K 1/2)))) J)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 K 1/2)))) J))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 K 1/2)))) J))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 K 1/2)))) J))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 1)
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))) (pow.f64 (exp.f64 1) 1))
(pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))) 1)
(pow.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))) 3)
(pow.f64 (sqrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) (.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2)) (.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))))) 1))
(pow.f64 (exp.f64 1) (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) 1) (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) (cbrt.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) (sqrt.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))) (sqrt.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2)) 1) (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))) (cbrt.f64 (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))) (sqrt.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))) (sqrt.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))
(sqrt.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 K 1/2)))) J))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))
(exp.f64 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))))) 2))
(+.f64 0 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 K 1/2))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 K 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 K 1/2)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 K 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))))) 1)
(pow.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))) 1)
(pow.f64 (.f64 4 (pow.f64 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))) 2)) 1/2)
(pow.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))))) 3)
(pow.f64 (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))))) 2)
(sqrt.f64 (.f64 4 (pow.f64 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))) 2)))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (.f64 2 (cos.f64 (.f64 K 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))))))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))) 3))
(expm1.f64 (log1p.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))))))
(log1p.f64 (expm1.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))))))
(exp.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))))))
(exp.f64 (.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2))

Outputs
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(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))))) 2))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) (sinh.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 2 (sinh.f64 l)))

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 J (.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (.f64 2 (sinh.f64 l)))))
	0.0b	(sinh.f64 l)
✓	0.1b	(.f64 (.f64 J (.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2)))
✓	0.2b	(.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (*.f64 2 (sinh.f64 l))))

Compiler

Compiled 89 to 56 computations (37.1% saved)

series2.2s (9.5%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
828.0ms	l	@	0	(.f64 (.f64 J (.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2)))
676.0ms	l	@	0	(.f64 J (.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (.f64 2 (sinh.f64 l)))))
670.0ms	l	@	0	(.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (*.f64 2 (sinh.f64 l))))
10.0ms	K	@	0	(.f64 (.f64 J (.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2)))
6.0ms	l	@	-inf	(.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (*.f64 2 (sinh.f64 l))))

Compiler

Compiled 176084 to 146308 computations (16.9% saved)

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`log-prod_binary64`
442×	`pow-prod-down_binary64`
316×	`pow2_binary64`
283×	`pow-unpow_binary64`
226×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	272	32
2	3121	32

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 l))) (sqrt.f64 (*.f64 2 (sinh.f64 l))))

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

(*.f64 J (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 l))) (sqrt.f64 (*.f64 2 (sinh.f64 l)))))

Outputs

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

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

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

simplify75.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

522×	`unswap-sqr_binary64`
432×	`log-div_binary64`
342×	`*-commutative_binary64`
324×	`associate-*l/_binary64`
278×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	4294969768
1	627	2002
2	2098	1981
3	7499	1981

Stop Event

1×	node limit

Counts

143 → 123

Calls

Call 1

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

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

eval393.0ms (1.7%)

Compiler: Compiled 22627 to 14034 computations (38% saved)

prune231.0ms (1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	963	9	972
Fresh	1	0	1
Picked	1	0	1
Done	1	3	4
Total	966	12	978

Error

Counts

978 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.8b	(+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 J 2) (sinh.f64 l))) 2) (cos.f64 (/.f64 K 2))) U)
✓	16.3b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
▶	21.1b	(+.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K))) U)
▶	9.2b	(+.f64 (*.f64 (+.f64 l l) J) U)
	0.6b	(+.f64 (.f64 (.f64 (+.f64 l l) J) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3)) U)
✓	0.5b	(+.f64 (.f64 (.f64 (+.f64 l l) J) (cos.f64 (/.f64 K 2))) U)
	8.9b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
▶	9.1b	(+.f64 (.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2))) U)
✓	0.0b	(+.f64 (.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) U)
▶	0.5b	(+.f64 (.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l))) U)
	0.5b	(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
	17.1b	U

Compiler

Compiled 300 to 220 computations (26.7% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 36 computations (32.1% saved)

series44.0ms (0.2%)

Counts

4 → 92

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	K	@	0	(.f64 (cos.f64 (.f64 1/2 K)) l)
2.0ms	J	@	0	(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l)))
2.0ms	J	@	inf	(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l)))
2.0ms	l	@	inf	(.f64 (cos.f64 (.f64 1/2 K)) l)
2.0ms	l	@	-inf	(.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l)))

Compiler

Compiled 2056 to 1607 computations (21.8% saved)

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`log-prod_binary64`
442×	`pow-prod-down_binary64`
353×	`pow2_binary64`
338×	`fma-def_binary64`
268×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	273	46
2	3430	46

Stop Event

1×	node limit

Counts

4 → 126

Calls

Call 1

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

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

simplify79.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

354×	`log-prod_binary64`
293×	`cancel-sign-sub-inv_binary64`
278×	`associate-+l+_binary64`
254×	`associate-l_binary64`
235×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	3783
1	803	3675
2	2939	3644

Stop Event

1×	node limit

Counts

218 → 197

Calls

Call 1

Inputs
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (.f64 1/192 (.f64 l (.f64 (pow.f64 K 4) J)))))
(+.f64 (.f64 -1/23040 (.f64 l (.f64 (pow.f64 K 6) J))) (+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (.f64 1/192 (.f64 l (*.f64 (pow.f64 K 4) J))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
l
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) l)) l)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) l)) (+.f64 l (.f64 1/384 (.f64 l (pow.f64 K 4)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) l)) (+.f64 (.f64 -1/46080 (.f64 l (pow.f64 K 6))) (+.f64 l (.f64 1/384 (.f64 l (pow.f64 K 4))))))
1
(+.f64 (*.f64 -1/8 (pow.f64 K 2)) 1)
(+.f64 (.f64 -1/8 (pow.f64 K 2)) (+.f64 1 (.f64 1/384 (pow.f64 K 4))))
(+.f64 (.f64 -1/8 (pow.f64 K 2)) (+.f64 1 (+.f64 (.f64 -1/46080 (pow.f64 K 6)) (*.f64 1/384 (pow.f64 K 4)))))
U
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))) U))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (+.f64 (.f64 1/192 (.f64 l (.f64 (pow.f64 K 4) J))) U)))
(+.f64 (.f64 -1/23040 (.f64 l (.f64 (pow.f64 K 6) J))) (+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (+.f64 (.f64 1/192 (.f64 l (*.f64 (pow.f64 K 4) J))) U))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
U
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
U
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
U
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 0 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) (.f64 J 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) (.f64 J 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) (.f64 J 2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) (.f64 J 2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)))) 1)
(pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 1)
(pow.f64 (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 2) 1/2)
(pow.f64 (cbrt.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J))) 3)
(pow.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J))) 2)
(pow.f64 (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) (.f64 J 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)))))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 3))
(expm1.f64 (log1p.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J))))
(log1p.f64 (expm1.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J))))
(exp.f64 (log.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J))))
(exp.f64 (.f64 (log.f64 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J))) 1))
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 K)) l))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 1/2 K)) l))) 1)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) 1)
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) l)) 3)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) l)) 2)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) 2))
(log.f64 (pow.f64 (exp.f64 l) (cos.f64 (*.f64 1/2 K))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 1/2 K)) l))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) 3))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 (.f64 1/2 K)) l)))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (.f64 1/2 K)) l)))
(exp.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 K)) l)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l)) 1))
(+.f64 0 (cos.f64 (*.f64 1/2 K)))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 1/2 K)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 1/2 K)))) (sin.f64 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/2 K)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/2 K))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/2 K))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/2 K))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 K)))) 1)
(.f64 (cos.f64 (.f64 1/2 K)) 1)
(.f64 1 (cos.f64 (.f64 1/2 K)))
(.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 K))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) (sqrt.f64 (cos.f64 (*.f64 1/2 K))))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) 1/2)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 3) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 K))) 3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 K))) 2)
(sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 K))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 K)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 K))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 K))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 K))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 1/2 K))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J) U))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 2) (fma.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J) (neg.f64 U))))
(.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J) U) 1)
(.f64 1 (fma.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J) U))
(.f64 (cbrt.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J) U)) (pow.f64 (cbrt.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J) U)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J) U)) 2) (cbrt.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J) U)))
(.f64 (sqrt.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J) U)) (sqrt.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J) U)))
(.f64 (+.f64 (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 3) (pow.f64 U 3)) (/.f64 1 (fma.f64 U (-.f64 U (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J))) (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J)) 2))))
(.f64 (-.f64 (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 2) (.f64 U U)) (/.f64 1 (fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J) (neg.f64 U))))
(/.f64 1 (/.f64 (fma.f64 U (-.f64 U (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J))) (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 2)) (+.f64 (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 3) (pow.f64 U 3))))
(/.f64 1 (/.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J) (neg.f64 U)) (-.f64 (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 2) (.f64 U U))))
(/.f64 (+.f64 (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 3) (pow.f64 U 3)) (fma.f64 U (-.f64 U (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J))) (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 3) (pow.f64 U 3)) (fma.f64 U U (-.f64 (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 2) (.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l)) (*.f64 J U)))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 2) (.f64 U U)) (fma.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J) (neg.f64 U)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 3) (pow.f64 U 3))) (neg.f64 (fma.f64 U (-.f64 U (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J))) (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 2) (.f64 U U))) (neg.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J) (neg.f64 U))))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 2)) (-.f64 U (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J))))
(pow.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J) U) 1)
(pow.f64 (pow.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J) U) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J) U) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J) U)) 3)
(pow.f64 (sqrt.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J) U)) 2)
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J))) (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 2)) (+.f64 (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 3) (pow.f64 U 3))) -1)
(pow.f64 (/.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J) (neg.f64 U)) (-.f64 (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 2) (.f64 U U))) -1)
(sqrt.f64 (pow.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J) U) 2))
(log.f64 (exp.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J) U)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J) U))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J)))) (exp.f64 U)))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) (*.f64 J 2)) (+.f64 1 (expm1.f64 U))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J)))) (+.f64 1 (expm1.f64 U))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 U)) (pow.f64 (pow.f64 (exp.f64 l) (cos.f64 (.f64 1/2 K))) (*.f64 J 2))))
(log.f64 (.f64 (exp.f64 U) (+.f64 1 (expm1.f64 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 U)) (+.f64 1 (expm1.f64 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J))))))
(cbrt.f64 (pow.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J) U) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J) U)))
(log1p.f64 (expm1.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J) U)))
(exp.f64 (log.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J) U)))
(exp.f64 (.f64 (log.f64 (fma.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J) U)) 1))
(fma.f64 J (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
(fma.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 K)) l) J) U)
(fma.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) (*.f64 J 2) U)
(fma.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) J U)
(fma.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 1 U)
(fma.f64 U 1 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)))
(fma.f64 1 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) U)
(fma.f64 1 U (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)))
(fma.f64 (cbrt.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J))) (cbrt.f64 (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 2)) U)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)) 2)) (cbrt.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J))) U)
(fma.f64 (pow.f64 (cbrt.f64 J) 2) (.f64 (cbrt.f64 J) (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l))) U)
(fma.f64 (cbrt.f64 U) (pow.f64 (cbrt.f64 U) 2) (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)))
(fma.f64 (pow.f64 (cbrt.f64 U) 2) (cbrt.f64 U) (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l))) 2) (.f64 (cbrt.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))) J) U)
(fma.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J))) (sqrt.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J))) U)
(fma.f64 (sqrt.f64 J) (.f64 (sqrt.f64 J) (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l))) U)
(fma.f64 (sqrt.f64 U) (sqrt.f64 U) (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) l) J)))
(fma.f64 (sqrt.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l))) (.f64 (sqrt.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))) J) U)
(fma.f64 (.f64 J 2) (.f64 (cos.f64 (*.f64 1/2 K)) l) U)
(fma.f64 (.f64 2 (cos.f64 (.f64 1/2 K))) (*.f64 l J) U)
(fma.f64 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) l)) 2 U)
(fma.f64 (.f64 J (pow.f64 (cbrt.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l))) 2)) (cbrt.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))) U)
(fma.f64 (.f64 J (sqrt.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l)))) (sqrt.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))) U)
(fma.f64 (.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K)))) l U)
(fma.f64 (.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l)) (pow.f64 (cbrt.f64 J) 2)) (cbrt.f64 J) U)
(fma.f64 (.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l)) (sqrt.f64 J)) (sqrt.f64 J) U)
(fma.f64 (.f64 (.f64 J 2) (cos.f64 (*.f64 1/2 K))) l U)
(fma.f64 (.f64 (.f64 J 2) l) (cos.f64 (*.f64 1/2 K)) U)
(fma.f64 (.f64 (.f64 J 2) 1) (.f64 (cos.f64 (.f64 1/2 K)) l) U)
(fma.f64 (.f64 (.f64 J 2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) l)) 2)) (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) l)) U)
(fma.f64 (.f64 (.f64 J 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) l))) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) l)) U)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series9.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	l	@	-inf	(+.f64 (*.f64 (+.f64 l l) J) U)
1.0ms	l	@	inf	(+.f64 (*.f64 (+.f64 l l) J) U)
1.0ms	J	@	inf	(+.f64 (*.f64 (+.f64 l l) J) U)
1.0ms	J	@	-inf	(+.f64 (*.f64 (+.f64 l l) J) U)
1.0ms	l	@	0	(+.f64 (*.f64 (+.f64 l l) J) U)

Compiler

Compiled 398 to 303 computations (23.9% saved)

rewrite45.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

71 → 53

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 36 to 20 computations (44.4% saved)

series23.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	K	@	-inf	(.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)))
2.0ms	l	@	0	(.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)))
2.0ms	K	@	inf	(.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)))
2.0ms	l	@	inf	(.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)))
2.0ms	l	@	-inf	(.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K)))

Compiler

Compiled 991 to 802 computations (19.1% saved)

rewrite57.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 154

Calls

Call 1

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

Outputs

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

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

simplify34.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

54×	`sqr-pow_binary64`
40×	`*-commutative_binary64`
28×	`fma-udef_binary64`
19×	`+-commutative_binary64`
15×	`exp-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	4294969569
1	904	4294969569

Stop Event

1×

unsound

Counts

214 → 210

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/3 (*.f64 l l) 2)
✓	0.0b	(+.f64 (.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2))) U)
✓	0.0b	(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
✓	0.0b	(.f64 l (fma.f64 1/3 (.f64 l l) 2))

Compiler

Compiled 48 to 25 computations (47.9% saved)

series25.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	l	@	inf	(.f64 l (fma.f64 1/3 (.f64 l l) 2))
2.0ms	J	@	0	(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
1.0ms	J	@	inf	(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
1.0ms	l	@	inf	(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
1.0ms	U	@	0	(+.f64 (.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2))) U)

Compiler

Compiled 1328 to 1088 computations (18.1% saved)

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`log-prod_binary64`
404×	`exp-prod_binary64`
393×	`pow-prod-down_binary64`
317×	`fma-def_binary64`
296×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	233	48
2	2949	48

Stop Event

1×	node limit

Counts

4 → 163

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 l (fma.f64 1/3 (.f64 l l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/3 (.f64 l l)) l) (.f64 2 l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 l (.f64 1/3 (.f64 l l))) (.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (fma.f64 1/3 (.f64 l l) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (fma.f64 1/3 (.f64 l l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (fma.f64 1/3 (.f64 l l) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (fma.f64 1/3 (.f64 l l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2)))) 2)) (cbrt.f64 (log.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2))))) (sqrt.f64 (log.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 l) (fma.f64 1/3 (.f64 l l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 l (.f64 1/3 (.f64 l l)) (.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/3 (.f64 l l)) l (*.f64 2 l))))))
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 U (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 J) 2) (.f64 (cbrt.f64 J) (.f64 l (fma.f64 1/3 (.f64 l l) 2))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) J))) (pow.f64 (cbrt.f64 (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) J))) 2) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) J))) 2) (cbrt.f64 (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) J))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 U) (pow.f64 (cbrt.f64 U) 2) (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 U) 2) (cbrt.f64 U) (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2))) 2) (.f64 (cbrt.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2))) J) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 J) (.f64 (sqrt.f64 J) (.f64 l (fma.f64 1/3 (.f64 l l) 2))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) J))) (sqrt.f64 (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) J))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 U) (sqrt.f64 U) (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2))) (.f64 (sqrt.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2))) J) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 l J) (fma.f64 1/3 (.f64 l l) 2) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2)) (pow.f64 (cbrt.f64 J) 2)) (cbrt.f64 J) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2)) (sqrt.f64 J)) (sqrt.f64 J) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 J (fma.f64 1/3 (.f64 l l) 2)) l U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 J (pow.f64 (cbrt.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2))) 2)) (cbrt.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 J (sqrt.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2)))) (sqrt.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2))) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 l J) 1) (fma.f64 1/3 (.f64 l l) 2) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 l J) (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 l l) 2)) 2)) (cbrt.f64 (fma.f64 1/3 (.f64 l l) 2)) U)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 l J) (sqrt.f64 (fma.f64 1/3 (.f64 l l) 2))) (sqrt.f64 (fma.f64 1/3 (.f64 l l) 2)) U)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 1/3 (.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (.f64 l l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/3 (.f64 l l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/3 (.f64 l l)) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/3 (.f64 l l) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/3 (.f64 l l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/3 (.f64 l l) 2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/3 (.f64 l l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (.f64 l l) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/3 (.f64 l l) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/3 (.f64 l l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/3 (.f64 l l) 2)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 l l) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 l l) 2)) 2) (cbrt.f64 (fma.f64 1/3 (.f64 l l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/3 (.f64 l l) 2)) (sqrt.f64 (fma.f64 1/3 (.f64 l l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 1/3 (.f64 l l)) 3) 8) (+.f64 (pow.f64 (.f64 1/3 (.f64 l l)) 2) (-.f64 4 (.f64 (.f64 1/3 (.f64 l l)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 1/3 (.f64 l l)) 2) 4) (fma.f64 1/3 (.f64 l l) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 (.f64 l l) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 (.f64 l l) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 (.f64 l l) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 l l) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 (.f64 l l) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/3 (.f64 l l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/3 (.f64 l l) 2))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/3 (.f64 l l) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/3 (.f64 l l) 2)))) (sqrt.f64 (log.f64 (fma.f64 1/3 (.f64 l l) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 (.f64 l l) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 (.f64 l l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (.f64 l l) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 (.f64 l l) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 (.f64 l l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 (.f64 l l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 (.f64 l l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1/3 (.f64 l l) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/3 (.f64 l l) 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/3 (.f64 l l) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/3 (.f64 l l) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/3 (*.f64 l l) 2)) 1) 1))))))

simplify84.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

338×	`log-prod_binary64`
337×	`cancel-sign-sub-inv_binary64`
277×	`associate-/l*_binary64`
266×	`associate-l_binary64`
253×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	409	4015
1	965	3901
2	3321	3886

Stop Event

1×	node limit

Counts

247 → 250

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

Outputs
(*.f64 2 l)
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
(fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l))
(fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
(fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l))
(fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
(fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l))
(fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))
(*.f64 1/3 (pow.f64 (/.f64 1 l) -3))
(+.f64 (.f64 2 l) (.f64 1/3 (pow.f64 (/.f64 1 l) -3)))
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(fma.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)) J U)
(fma.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))) U)
(fma.f64 (sqrt.f64 (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) J))) (sqrt.f64 (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) J))) U)
(fma.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)) J U)
(fma.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))) U)
(fma.f64 (sqrt.f64 U) (sqrt.f64 U) (.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J)))
(fma.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)) J U)
(fma.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))) U)
(fma.f64 (sqrt.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2))) (.f64 (sqrt.f64 (.f64 l (fma.f64 1/3 (*.f64 l l) 2))) J) U)
(fma.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)) J U)
(fma.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))) U)
(fma.f64 (.f64 l J) (fma.f64 1/3 (.f64 l l) 2) U)
(fma.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)) J U)
(fma.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))) U)
(fma.f64 (.f64 (.f64 l (fma.f64 1/3 (*.f64 l l) 2)) (pow.f64 (cbrt.f64 J) 2)) (cbrt.f64 J) U)
(fma.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)) J U)
(fma.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))) U)
(fma.f64 (.f64 (.f64 l (fma.f64 1/3 (*.f64 l l) 2)) (sqrt.f64 J)) (sqrt.f64 J) U)
(fma.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)) J U)
(fma.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))) U)
(fma.f64 (.f64 J (fma.f64 1/3 (.f64 l l) 2)) l U)
(fma.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)) J U)
(fma.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))) U)
(fma.f64 (.f64 J (pow.f64 (cbrt.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2))) 2)) (cbrt.f64 (.f64 l (fma.f64 1/3 (*.f64 l l) 2))) U)
(fma.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)) J U)
(fma.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))) U)
(fma.f64 (.f64 J (sqrt.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2)))) (sqrt.f64 (.f64 l (fma.f64 1/3 (*.f64 l l) 2))) U)
(fma.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)) J U)
(fma.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))) U)
(fma.f64 (.f64 (.f64 l J) 1) (fma.f64 1/3 (*.f64 l l) 2) U)
(fma.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)) J U)
(fma.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))) U)
(fma.f64 (.f64 (.f64 l J) (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 l l) 2)) 2)) (cbrt.f64 (fma.f64 1/3 (.f64 l l) 2)) U)
(fma.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)) J U)
(fma.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))) U)
(fma.f64 (.f64 (.f64 l J) (sqrt.f64 (fma.f64 1/3 (.f64 l l) 2))) (sqrt.f64 (fma.f64 1/3 (.f64 l l) 2)) U)
(fma.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)) J U)
(fma.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))) U)
(+.f64 2 (.f64 1/3 (.f64 l l)))
(fma.f64 1/3 (*.f64 l l) 2)
(+.f64 (.f64 1/3 (.f64 l l)) 2)
(fma.f64 1/3 (*.f64 l l) 2)
(+.f64 0 (fma.f64 1/3 (*.f64 l l) 2))
(fma.f64 1/3 (*.f64 l l) 2)
(+.f64 (.f64 (.f64 1/3 (*.f64 l l)) 1) 2)
(fma.f64 1/3 (*.f64 l l) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/3 (.f64 l l) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/3 (.f64 l l) 2)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/3 (.f64 l l) 2))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/3 (*.f64 l l) 2)))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/3 (.f64 l l) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/3 (.f64 l l) 2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/3 (.f64 l l) 2)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/3 (.f64 l l) 2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (*.f64 l l) 2))) 1)
(fma.f64 1/3 (*.f64 l l) 2)
(.f64 (fma.f64 1/3 (.f64 l l) 2) 1)
(fma.f64 1/3 (*.f64 l l) 2)
(.f64 1 (fma.f64 1/3 (.f64 l l) 2))
(fma.f64 1/3 (*.f64 l l) 2)
(.f64 (cbrt.f64 (fma.f64 1/3 (.f64 l l) 2)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 l l) 2)) 2))
(fma.f64 1/3 (*.f64 l l) 2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 l l) 2)) 2) (cbrt.f64 (fma.f64 1/3 (*.f64 l l) 2)))
(fma.f64 1/3 (*.f64 l l) 2)
(.f64 (sqrt.f64 (fma.f64 1/3 (.f64 l l) 2)) (sqrt.f64 (fma.f64 1/3 (*.f64 l l) 2)))
(fma.f64 1/3 (*.f64 l l) 2)
(/.f64 (+.f64 (pow.f64 (.f64 1/3 (.f64 l l)) 3) 8) (+.f64 (pow.f64 (.f64 1/3 (.f64 l l)) 2) (-.f64 4 (.f64 (.f64 1/3 (*.f64 l l)) 2))))
(/.f64 (+.f64 (.f64 1/27 (pow.f64 (.f64 l l) 3)) 8) (+.f64 (pow.f64 (.f64 1/3 (.f64 l l)) 2) (-.f64 4 (.f64 2 (.f64 1/3 (*.f64 l l))))))
(/.f64 (fma.f64 1/27 (pow.f64 (.f64 l l) 3) 8) (+.f64 (pow.f64 (.f64 l (.f64 l 1/3)) 2) (-.f64 4 (.f64 (*.f64 l l) 2/3))))
(/.f64 (fma.f64 1/27 (pow.f64 l 6) 8) (+.f64 (.f64 (pow.f64 l 4) 1/9) (+.f64 4 (.f64 (*.f64 l l) -2/3))))
(/.f64 (-.f64 (pow.f64 (.f64 1/3 (.f64 l l)) 2) 4) (fma.f64 1/3 (*.f64 l l) -2))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 (.f64 l l)) 2) -4) (fma.f64 1/3 (*.f64 l l) -2))
(/.f64 (+.f64 (pow.f64 (.f64 l (.f64 l 1/3)) 2) -4) (fma.f64 1/3 (*.f64 l l) -2))
(/.f64 (fma.f64 (pow.f64 l 4) 1/9 -4) (fma.f64 1/3 (*.f64 l l) -2))
(pow.f64 (fma.f64 1/3 (*.f64 l l) 2) 1)
(fma.f64 1/3 (*.f64 l l) 2)
(pow.f64 (pow.f64 (fma.f64 1/3 (*.f64 l l) 2) 2) 1/2)
(fma.f64 1/3 (*.f64 l l) 2)
(pow.f64 (pow.f64 (fma.f64 1/3 (*.f64 l l) 2) 3) 1/3)
(fma.f64 1/3 (*.f64 l l) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 l l) 2)) 3)
(fma.f64 1/3 (*.f64 l l) 2)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 l l) 2)) 2)
(fma.f64 1/3 (*.f64 l l) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/3 (*.f64 l l) 2)))
(fma.f64 1/3 (*.f64 l l) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/3 (.f64 l l) 2))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/3 (.f64 l l) 2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/3 (.f64 l l) 2)))) (sqrt.f64 (log.f64 (fma.f64 1/3 (.f64 l l) 2))))
(sqrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 l l) 2) 2))
(fma.f64 1/3 (*.f64 l l) 2)
(log.f64 (exp.f64 (fma.f64 1/3 (*.f64 l l) 2)))
(fma.f64 1/3 (*.f64 l l) 2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (*.f64 l l) 2))))
(fma.f64 1/3 (*.f64 l l) 2)
(cbrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 l l) 2) 3))
(fma.f64 1/3 (*.f64 l l) 2)
(expm1.f64 (log1p.f64 (fma.f64 1/3 (*.f64 l l) 2)))
(fma.f64 1/3 (*.f64 l l) 2)
(log1p.f64 (expm1.f64 (fma.f64 1/3 (*.f64 l l) 2)))
(fma.f64 1/3 (*.f64 l l) 2)
(exp.f64 (log.f64 (fma.f64 1/3 (*.f64 l l) 2)))
(fma.f64 1/3 (*.f64 l l) 2)
(exp.f64 (.f64 (log.f64 (fma.f64 1/3 (.f64 l l) 2)) 1))
(fma.f64 1/3 (*.f64 l l) 2)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/3 (*.f64 l l) 2))) 1/3))
(fma.f64 1/3 (*.f64 l l) 2)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/3 (.f64 l l) 2))) 3))
(fma.f64 1/3 (*.f64 l l) 2)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/3 (.f64 l l) 2))) 2))
(fma.f64 1/3 (*.f64 l l) 2)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/3 (*.f64 l l) 2)) 1) 1))
(fma.f64 1/3 (*.f64 l l) 2)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 l)
✓	0.0b	(.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 J 2) (sinh.f64 l))) 2) (cos.f64 (/.f64 K 2)))
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 (.f64 J 2) (sinh.f64 l))) 2)
✓	15.6b	(sqrt.f64 (.f64 (.f64 J 2) (sinh.f64 l)))

Compiler

Compiled 73 to 47 computations (35.6% saved)

series9.9s (41.7%)

Counts

3 → 36

Calls

21 calls:

Time	Variable		Point	Expression
1.2s	l	@	0	(.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 J 2) (sinh.f64 l))) 2) (cos.f64 (/.f64 K 2)))
1.1s	J	@	-inf	(.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 J 2) (sinh.f64 l))) 2) (cos.f64 (/.f64 K 2)))
1.1s	J	@	inf	(.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 J 2) (sinh.f64 l))) 2) (cos.f64 (/.f64 K 2)))
1.1s	J	@	0	(.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 J 2) (sinh.f64 l))) 2) (cos.f64 (/.f64 K 2)))
978.0ms	l	@	0	(pow.f64 (sqrt.f64 (.f64 (.f64 J 2) (sinh.f64 l))) 2)

Compiler

Compiled 1001879 to 696749 computations (30.5% saved)

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`log-prod_binary64`
419×	`pow-prod-down_binary64`
312×	`pow2_binary64`
262×	`pow-unpow_binary64`
222×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	275	37
2	3082	37

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (*.f64 J (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (+.f64 J J))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (+.f64 J J)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (+.f64 J J)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (+.f64 J J)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 J (sinh.f64 l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 J (*.f64 2 (sinh.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 J (sinh.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 J J) (sinh.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 l) (+.f64 J J))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 J (sinh.f64 l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (*.f64 J (sinh.f64 l)))) (sqrt.f64 (*.f64 2 (*.f64 J (sinh.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (*.f64 J (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 J) 2) (*.f64 (cbrt.f64 J) (*.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 l)) 2) (*.f64 (cbrt.f64 (sinh.f64 l)) (+.f64 J J)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (*.f64 J (sinh.f64 l)))) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 J (sinh.f64 l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 J (sinh.f64 l)))) 2) (cbrt.f64 (*.f64 2 (*.f64 J (sinh.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 J J)) 2) (*.f64 (cbrt.f64 (+.f64 J J)) (sinh.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (*.f64 J (sinh.f64 l))) 1/4) (pow.f64 (*.f64 2 (*.f64 J (sinh.f64 l))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 J) (*.f64 (sqrt.f64 J) (*.f64 2 (sinh.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 l)) (*.f64 (sqrt.f64 (sinh.f64 l)) (+.f64 J J)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 J J)) (*.f64 (sqrt.f64 (+.f64 J J)) (sinh.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 J J)) (pow.f64 (*.f64 (sinh.f64 l) (*.f64 2 (*.f64 J (sinh.f64 l)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sinh.f64 l)) J)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (*.f64 J (sinh.f64 l))) 3/4) (pow.f64 (*.f64 2 (*.f64 J (sinh.f64 l))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 J J) (pow.f64 (cbrt.f64 (sinh.f64 l)) 2)) (cbrt.f64 (sinh.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 J J) (sqrt.f64 (sinh.f64 l))) (sqrt.f64 (sinh.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 l) J) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 l) (pow.f64 (cbrt.f64 (+.f64 J J)) 2)) (cbrt.f64 (+.f64 J J)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 l) (sqrt.f64 (+.f64 J J))) (sqrt.f64 (+.f64 J J)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (*.f64 J (sinh.f64 l))) 5/6) (pow.f64 (*.f64 2 (*.f64 J (sinh.f64 l))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 2 (*.f64 J (sinh.f64 l))) (+.f64 J J)) 1/2) (sqrt.f64 (sinh.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 l)) (+.f64 J J)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 J J) (*.f64 2 (sinh.f64 l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (*.f64 J (sinh.f64 l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sinh.f64 l)) (+.f64 J J)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 J (sinh.f64 l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (*.f64 J (sinh.f64 l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (*.f64 J (sinh.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (*.f64 J (sinh.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (*.f64 J (sinh.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 J (sinh.f64 l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 2 (*.f64 J (sinh.f64 l))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2 (*.f64 J (sinh.f64 l))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2 (*.f64 J (sinh.f64 l))))) 3))))))

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

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

815×	`log-prod_binary64`
452×	`unswap-sqr_binary64`
328×	`*-commutative_binary64`
214×	`log-div_binary64`
162×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	2185
1	569	1923
2	1890	1893
3	6351	1893

Stop Event

1×	node limit

Counts

131 → 141

Calls

Call 1

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

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

eval286.0ms (1.2%)

Compiler: Compiled 16066 to 9398 computations (41.5% saved)

prune226.0ms (1%)

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	916	18	934
Fresh	0	4	4
Picked	1	0	1
Done	1	6	7
Total	918	28	946

Error

Counts

946 → 28

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.0b	(fma.f64 J (.f64 4 (.f64 l l)) U)
	43.0b	(/.f64 (-.f64 (+.f64 l l) (*.f64 U U)) (-.f64 (+.f64 l l) U))
	26.4b	(-.f64 (+.f64 1 (fma.f64 (+.f64 l l) J U)) 1)
	49.4b	(+.f64 (pow.f64 (+.f64 l l) -1/3) U)
	57.3b	(+.f64 (pow.f64 (+.f64 l l) -2) U)
	58.9b	(+.f64 (pow.f64 (+.f64 l l) -3) U)
	47.8b	(+.f64 (/.f64 1 (+.f64 l l)) U)
	57.3b	(+.f64 (/.f64 -1 (neg.f64 (fma.f64 l l 0))) U)
	21.1b	(+.f64 (+.f64 l l) U)
	23.8b	(+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 J 2) l)) 2) (cos.f64 (/.f64 K 2))) U)
✓	16.3b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
✓	21.1b	(+.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K))) U)
✓	9.2b	(+.f64 (*.f64 (+.f64 l l) J) U)
	0.6b	(+.f64 (.f64 (.f64 (+.f64 l l) J) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3)) U)
✓	0.5b	(+.f64 (.f64 (.f64 (+.f64 l l) J) (cos.f64 (/.f64 K 2))) U)
▶	25.5b	(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))) U)
	8.9b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
	9.1b	(+.f64 (.f64 J (+.f64 (.f64 (.f64 1/3 (.f64 l l)) l) (*.f64 2 l))) U)
	9.1b	(+.f64 (.f64 J (.f64 l (+.f64 (.f64 1/3 (.f64 l l)) 2))) U)
	16.9b	(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l 1/3)))) U)
✓	0.0b	(+.f64 (.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) U)
✓	0.5b	(+.f64 (.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l))) U)
▶	0.5b	(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
▶	29.9b	(+.f64 (cbrt.f64 (+.f64 l l)) U)
	43.0b	(.f64 (-.f64 (+.f64 l l) (.f64 U U)) (/.f64 1 (-.f64 (+.f64 l l) U)))
	62.3b	(.f64 (+.f64 l (-.f64 l (.f64 U U))) (/.f64 0 (-.f64 (+.f64 l l) U)))
▶	54.0b	(.f64 l (.f64 J 2))
	17.1b	U

Compiler

Compiled 693 to 485 computations (30% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 35 computations (34% saved)

series42.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

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

Compiler

Compiled 1582 to 1219 computations (22.9% saved)

rewrite58.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	222	36
2	2579	36

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs

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

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

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

simplify77.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

736×	`log-prod_binary64`
470×	`unswap-sqr_binary64`
437×	`hypot-def_binary64`
369×	`*-commutative_binary64`
259×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	2607
1	620	2538
2	2007	2530
3	5755	2530

Stop Event

1×	node limit

Counts

185 → 145

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(*.f64 l J)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 l J))) (.f64 l J))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 l J))) (+.f64 (.f64 1/384 (.f64 l (.f64 (pow.f64 K 4) J))) (*.f64 l J)))
(+.f64 (.f64 -1/46080 (.f64 l (.f64 (pow.f64 K 6) J))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 l J))) (+.f64 (.f64 1/384 (.f64 l (.f64 (pow.f64 K 4) J))) (.f64 l J))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
J
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J))
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) J)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (.f64 1/192 (.f64 l (.f64 (pow.f64 K 4) J)))))
(+.f64 (.f64 -1/23040 (.f64 l (.f64 (pow.f64 K 6) J))) (+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (.f64 1/192 (.f64 l (*.f64 (pow.f64 K 4) J))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (.f64 J (cos.f64 (.f64 1/2 K))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (.f64 J (cos.f64 (.f64 1/2 K)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (.f64 J (cos.f64 (.f64 1/2 K)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (.f64 J (cos.f64 (.f64 1/2 K)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)))) 1)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) 1)
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))) 3)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))) 2)
(pow.f64 (exp.f64 1) (log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))) 2)) (cbrt.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))) (sqrt.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) 2))
(log.f64 (pow.f64 (exp.f64 l) (.f64 J (cos.f64 (.f64 1/2 K)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) 3))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
(exp.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))) 1) 1))
(exp.f64 (+.f64 (.f64 (log.f64 l) 1) (log.f64 (.f64 J (cos.f64 (*.f64 1/2 K))))))
(exp.f64 (+.f64 (log.f64 l) (.f64 (log.f64 (.f64 J (cos.f64 (*.f64 1/2 K)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 l) 1) (.f64 (log.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 (.f64 1/2 K))) 1) (log.f64 (*.f64 l J))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 J (cos.f64 (*.f64 1/2 K)))) 1) (log.f64 l)))
(exp.f64 (+.f64 (log.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) (*.f64 (log.f64 l) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 1) (.f64 (log.f64 l) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 l J)) (.f64 (log.f64 (cos.f64 (*.f64 1/2 K))) 1)))
(+.f64 0 (.f64 J (cos.f64 (.f64 1/2 K))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (cos.f64 (.f64 1/2 K))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 J (cos.f64 (.f64 1/2 K))))) 1)
(pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 1)
(pow.f64 (pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 3)
(pow.f64 (sqrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (.f64 J (cos.f64 (.f64 1/2 K)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 J (cos.f64 (.f64 1/2 K))))) 2)) (cbrt.f64 (log.f64 (.f64 J (cos.f64 (.f64 1/2 K))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 J (cos.f64 (.f64 1/2 K)))))) (sqrt.f64 (log.f64 (.f64 J (cos.f64 (.f64 1/2 K))))))
(sqrt.f64 (pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 2))
(log.f64 (pow.f64 (exp.f64 J) (cos.f64 (*.f64 1/2 K))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 J (cos.f64 (.f64 1/2 K))))))
(cbrt.f64 (pow.f64 (.f64 J (cos.f64 (.f64 1/2 K))) 3))
(expm1.f64 (log1p.f64 (.f64 J (cos.f64 (.f64 1/2 K)))))
(log1p.f64 (expm1.f64 (.f64 J (cos.f64 (.f64 1/2 K)))))
(exp.f64 (log.f64 (.f64 J (cos.f64 (.f64 1/2 K)))))
(exp.f64 (.f64 (log.f64 (.f64 J (cos.f64 (*.f64 1/2 K)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 J (cos.f64 (.f64 1/2 K))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 J (cos.f64 (*.f64 1/2 K))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 J (cos.f64 (*.f64 1/2 K))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 1) 1))
(exp.f64 (+.f64 (.f64 (log.f64 J) 1) (log.f64 (cos.f64 (.f64 1/2 K)))))
(exp.f64 (+.f64 (log.f64 J) (.f64 (log.f64 (cos.f64 (.f64 1/2 K))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 J) 1) (.f64 (log.f64 (cos.f64 (*.f64 1/2 K))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 (.f64 1/2 K))) 1) (log.f64 J)))
(exp.f64 (+.f64 (log.f64 (cos.f64 (.f64 1/2 K))) (.f64 (log.f64 J) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 (.f64 1/2 K))) 1) (*.f64 (log.f64 J) 1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(+.f64 0 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2))) 1)
(pow.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2) 1)
(pow.f64 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2) 4) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2)) 3)
(pow.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2)) 2)
(pow.f64 (exp.f64 1) (log.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2)))) (sqrt.f64 (log.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2))))
(sqrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2) 4))
(log.f64 (pow.f64 (exp.f64 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2)))
(log1p.f64 (expm1.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2)))
(exp.f64 (log.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) 2)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) 2))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) 2))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) 2)) 1) 1))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 1) (log.f64 (.f64 l 2))))
(exp.f64 (+.f64 (log.f64 (.f64 l 2)) (.f64 (log.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) 1)))

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

localize6.0ms (0%)

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

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 52 to 25 computations (51.9% saved)

series17.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	K	@	0	(.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K))))
2.0ms	l	@	0	(.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K))))
2.0ms	J	@	0	(.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K))))
1.0ms	K	@	inf	(.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K))))
1.0ms	K	@	inf	(+.f64 2 (.f64 -1/4 (.f64 K K)))

Compiler

Compiled 912 to 756 computations (17.1% saved)

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (*.f64 J 2)) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 l (*.f64 J (fma.f64 -1/4 (*.f64 K K) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 l (*.f64 J 2)) 1) (*.f64 (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (*.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (*.f64 J (fma.f64 -1/4 (*.f64 K K) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (*.f64 J (fma.f64 -1/4 (*.f64 K K) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (*.f64 J (fma.f64 -1/4 (*.f64 K K) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 l (*.f64 J (fma.f64 -1/4 (*.f64 K K) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 l (*.f64 J 2)) 3) (*.f64 (pow.f64 (*.f64 l J) 3) (*.f64 (pow.f64 K 6) -1/64))) (+.f64 (pow.f64 (*.f64 l (*.f64 J 2)) 2) (-.f64 (pow.f64 (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))) 2) (*.f64 (*.f64 l (*.f64 J 2)) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 l (*.f64 J 2)) 2) (pow.f64 (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))) 2)) (-.f64 (*.f64 l (*.f64 J 2)) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 K 6) -1/64 8) (*.f64 l J)) (fma.f64 (*.f64 -1/4 (*.f64 K K)) (fma.f64 -1/4 (*.f64 K K) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 (pow.f64 K 4) 1/16)) (*.f64 l J)) (+.f64 2 (*.f64 1/4 (*.f64 K K))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 l J) (fma.f64 (pow.f64 K 6) -1/64 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2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 l (*.f64 J (fma.f64 -1/4 (*.f64 K K) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J)))) (exp.f64 (*.f64 l (*.f64 J 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (*.f64 J (fma.f64 -1/4 (*.f64 K K) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (*.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (*.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (*.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 l (*.f64 J (fma.f64 -1/4 (*.f64 K K) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 l (*.f64 J 2) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 l (*.f64 J (*.f64 -1/4 (*.f64 K K))) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 J (*.f64 l 2) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 J (*.f64 l (*.f64 -1/4 (*.f64 K K))) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l J) 2 (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l J) (*.f64 -1/4 (*.f64 K K)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 l J) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (*.f64 (*.f64 K K) (*.f64 l J)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/4 (*.f64 K K)) (*.f64 l J) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 l (*.f64 J 2)) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 K 4) 1/16)) (*.f64 (cbrt.f64 (*.f64 -1/4 (*.f64 K K))) (*.f64 l J)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 l J)) 2) (*.f64 (cbrt.f64 (*.f64 l J)) 2) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 l J)) 2) (*.f64 (cbrt.f64 (*.f64 l J)) (*.f64 -1/4 (*.f64 K K))) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 K (sqrt.f64 -1/4)) (*.f64 (*.f64 K (sqrt.f64 -1/4)) (*.f64 l J)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 l J)) (*.f64 (sqrt.f64 (*.f64 l J)) 2) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l 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((x fma.f64 (sqrt.f64 (*.f64 l (*.f64 J 2))) (sqrt.f64 (*.f64 l (*.f64 J 2))) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 J) l (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/4 (*.f64 K K)) J) l (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 l) J (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 (*.f64 l J)) 2)) (cbrt.f64 (*.f64 l J)) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (*.f64 l J))) (sqrt.f64 (*.f64 l J)) (*.f64 (*.f64 K K) (*.f64 -1/4 (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 l J) -1/4) (*.f64 K K) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 l J) (*.f64 K K)) -1/4 (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 l J) (cbrt.f64 (*.f64 (pow.f64 K 4) 1/16))) (cbrt.f64 (*.f64 -1/4 (*.f64 K K))) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 l J) (*.f64 K (sqrt.f64 -1/4))) (*.f64 K (sqrt.f64 -1/4)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 l J) (*.f64 -1/4 K)) K (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/4 (*.f64 K K)) l) J (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 K (sqrt.f64 -1/4)) (cbrt.f64 (*.f64 l J))) 2) (cbrt.f64 (*.f64 l J)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/4 (*.f64 K K)) (sqrt.f64 (*.f64 l J))) (sqrt.f64 (*.f64 l J)) (*.f64 l (*.f64 J 2)))))))

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

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	2401
1	741	2311
2	2426	2244

Stop Event

1×	node limit

Counts

158 → 158

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 7 computations (63.2% saved)

series1.3s (5.3%)

Counts

2 → 15

Calls

9 calls:

Time	Variable		Point	Expression
275.0ms	l	@	-inf	(cbrt.f64 (+.f64 l l))
260.0ms	l	@	0	(cbrt.f64 (+.f64 l l))
259.0ms	l	@	inf	(cbrt.f64 (+.f64 l l))
160.0ms	l	@	-inf	(+.f64 (cbrt.f64 (+.f64 l l)) U)
149.0ms	l	@	0	(+.f64 (cbrt.f64 (+.f64 l l)) U)

Compiler

Compiled 154910 to 130291 computations (15.9% saved)

rewrite48.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

Outputs

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

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

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	562
1	539	562

Stop Event

1×

unsound

Counts

103 → 113

Calls

Call 1

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

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 4 (.f64 l l))
✓	1.2b	(fma.f64 J (.f64 4 (.f64 l l)) U)

Compiler

Compiled 24 to 11 computations (54.2% saved)

series11.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	l	@	inf	(fma.f64 J (.f64 4 (.f64 l l)) U)
1.0ms	J	@	0	(fma.f64 J (.f64 4 (.f64 l l)) U)
1.0ms	J	@	-inf	(fma.f64 J (.f64 4 (.f64 l l)) U)
1.0ms	J	@	inf	(fma.f64 J (.f64 4 (.f64 l l)) U)
1.0ms	U	@	0	(fma.f64 J (.f64 4 (.f64 l l)) U)

Compiler

Compiled 614 to 507 computations (17.4% saved)

rewrite44.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

719×	`pow1_binary64`
661×	`add-log-exp_binary64`
661×	`log1p-expm1-u_binary64`
661×	`expm1-log1p-u_binary64`
645×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	161	18
2	1838	18

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

Inputs
(fma.f64 J (.f64 4 (.f64 l l)) U)
(.f64 4 (.f64 l l))

Outputs

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

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

simplify47.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

434×	`log-prod_binary64`
410×	`fma-def_binary64`
380×	`unswap-sqr_binary64`
379×	`fma-neg_binary64`
315×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	791
1	247	782
2	1089	780
3	4602	780

Stop Event

1×	node limit

Counts

80 → 53

Calls

Call 1

Inputs
U
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
(.f64 4 (.f64 (pow.f64 l 2) J))
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
(.f64 4 (.f64 (pow.f64 l 2) J))
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
U
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
(.f64 4 (.f64 (pow.f64 (/.f64 1 l) -2) J))
(+.f64 (.f64 4 (.f64 (pow.f64 (/.f64 1 l) -2) J)) U)
(+.f64 (.f64 4 (.f64 (pow.f64 (/.f64 1 l) -2) J)) U)
(+.f64 (.f64 4 (.f64 (pow.f64 (/.f64 1 l) -2) J)) U)
(.f64 4 (.f64 (pow.f64 (/.f64 -1 l) -2) J))
(+.f64 (.f64 4 (.f64 (pow.f64 (/.f64 -1 l) -2) J)) U)
(+.f64 (.f64 4 (.f64 (pow.f64 (/.f64 -1 l) -2) J)) U)
(+.f64 (.f64 4 (.f64 (pow.f64 (/.f64 -1 l) -2) J)) U)
(.f64 4 (.f64 (pow.f64 l 2) J))
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
U
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
U
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
(+.f64 (.f64 4 (.f64 (pow.f64 l 2) J)) U)
(*.f64 4 (pow.f64 l 2))
(*.f64 4 (pow.f64 l 2))
(*.f64 4 (pow.f64 l 2))
(*.f64 4 (pow.f64 l 2))
(*.f64 4 (pow.f64 (/.f64 1 l) -2))
(*.f64 4 (pow.f64 (/.f64 1 l) -2))
(*.f64 4 (pow.f64 (/.f64 1 l) -2))
(*.f64 4 (pow.f64 (/.f64 1 l) -2))
(*.f64 4 (pow.f64 (/.f64 -1 l) -2))
(*.f64 4 (pow.f64 (/.f64 -1 l) -2))
(*.f64 4 (pow.f64 (/.f64 -1 l) -2))
(*.f64 4 (pow.f64 (/.f64 -1 l) -2))
(+.f64 U (.f64 J (.f64 4 (*.f64 l l))))
(+.f64 (.f64 J (.f64 4 (*.f64 l l))) U)
(+.f64 (.f64 (.f64 J (.f64 4 (.f64 l l))) 1) U)
(-.f64 (+.f64 1 (fma.f64 J (.f64 4 (.f64 l l)) U)) 1)
(.f64 (fma.f64 J (.f64 4 (*.f64 l l)) U) 1)
(.f64 1 (fma.f64 J (.f64 4 (*.f64 l l)) U))
(.f64 (cbrt.f64 (fma.f64 J (.f64 4 (.f64 l l)) U)) (pow.f64 (cbrt.f64 (fma.f64 J (.f64 4 (*.f64 l l)) U)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 J (.f64 4 (.f64 l l)) U)) 2) (cbrt.f64 (fma.f64 J (.f64 4 (*.f64 l l)) U)))
(.f64 (sqrt.f64 (fma.f64 J (.f64 4 (.f64 l l)) U)) (sqrt.f64 (fma.f64 J (.f64 4 (*.f64 l l)) U)))
(/.f64 (+.f64 (pow.f64 (.f64 J (.f64 4 (.f64 l l))) 3) (pow.f64 U 3)) (+.f64 (.f64 (.f64 J (.f64 4 (.f64 l l))) (.f64 J (.f64 4 (.f64 l l)))) (-.f64 (.f64 U U) (.f64 (.f64 J (.f64 4 (*.f64 l l))) U))))
(/.f64 (-.f64 (.f64 (.f64 J (.f64 4 (.f64 l l))) (.f64 J (.f64 4 (.f64 l l)))) (.f64 U U)) (-.f64 (.f64 J (.f64 4 (*.f64 l l))) U))
(pow.f64 (fma.f64 J (.f64 4 (.f64 l l)) U) 1)
(pow.f64 (pow.f64 (fma.f64 J (.f64 4 (.f64 l l)) U) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 J (.f64 4 (.f64 l l)) U)) 3)
(pow.f64 (sqrt.f64 (fma.f64 J (.f64 4 (.f64 l l)) U)) 2)
(sqrt.f64 (pow.f64 (fma.f64 J (.f64 4 (.f64 l l)) U) 2))
(log.f64 (exp.f64 (fma.f64 J (.f64 4 (.f64 l l)) U)))
(cbrt.f64 (pow.f64 (fma.f64 J (.f64 4 (.f64 l l)) U) 3))
(expm1.f64 (log1p.f64 (fma.f64 J (.f64 4 (.f64 l l)) U)))
(log1p.f64 (expm1.f64 (fma.f64 J (.f64 4 (.f64 l l)) U)))
(exp.f64 (log.f64 (fma.f64 J (.f64 4 (.f64 l l)) U)))
(-.f64 (+.f64 1 (.f64 4 (.f64 l l))) 1)
(pow.f64 (.f64 4 (.f64 l l)) 1)
(pow.f64 (pow.f64 (.f64 4 (.f64 l l)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 4 (.f64 l l))) 3)
(pow.f64 (*.f64 l 2) 2)
(sqrt.f64 (*.f64 (pow.f64 l 4) 16))
(log.f64 (pow.f64 (exp.f64 (*.f64 l l)) 4))
(cbrt.f64 (pow.f64 (.f64 4 (.f64 l l)) 3))
(expm1.f64 (log1p.f64 (.f64 4 (.f64 l l))))
(log1p.f64 (expm1.f64 (.f64 4 (.f64 l l))))
(exp.f64 (log.f64 (.f64 4 (.f64 l l))))

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

eval144.0ms (0.6%)

Compiler: Compiled 8258 to 4828 computations (41.5% saved)

prune114.0ms (0.5%)

Pruning

32 alts after pruning (22 fresh and 10 done)

	Pruned	Kept	Total
New	501	6	507
Fresh	1	16	17
Picked	1	0	1
Done	0	10	10
Total	503	32	535

Error

Counts

535 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	48.0b	(/.f64 (fma.f64 U U -1) (-.f64 U 0))
	43.0b	(/.f64 (-.f64 (+.f64 l l) (*.f64 U U)) (-.f64 (+.f64 l l) U))
	26.4b	(-.f64 (+.f64 1 (fma.f64 (+.f64 l l) J U)) 1)
	31.7b	(-.f64 (+.f64 1 (+.f64 (+.f64 l l) U)) 1)
	49.4b	(+.f64 (pow.f64 (+.f64 l l) -1/3) U)
	57.3b	(+.f64 (pow.f64 (+.f64 l l) -2) U)
	58.9b	(+.f64 (pow.f64 (+.f64 l l) -3) U)
	47.8b	(+.f64 (/.f64 1 (+.f64 l l)) U)
	57.3b	(+.f64 (/.f64 -1 (neg.f64 (fma.f64 l l 0))) U)
	25.5b	(+.f64 (+.f64 (.f64 (.f64 K K) (.f64 -1/4 (.f64 l J))) (.f64 l (.f64 J 2))) U)
	21.1b	(+.f64 (+.f64 l l) U)
	23.8b	(+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 J 2) l)) 2) (cos.f64 (/.f64 K 2))) U)
✓	16.3b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
✓	21.1b	(+.f64 (.f64 (+.f64 l l) (cos.f64 (.f64 1/2 K))) U)
✓	9.2b	(+.f64 (*.f64 (+.f64 l l) J) U)
	0.6b	(+.f64 (.f64 (.f64 (+.f64 l l) J) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 3)) U)
✓	0.5b	(+.f64 (.f64 (.f64 (+.f64 l l) J) (cos.f64 (/.f64 K 2))) U)
✓	25.5b	(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))) U)
	33.0b	(+.f64 (.f64 (.f64 l J) (.f64 -1/4 (.f64 K K))) U)
	8.9b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
	9.1b	(+.f64 (.f64 J (+.f64 (.f64 (.f64 1/3 (.f64 l l)) l) (*.f64 2 l))) U)
	9.1b	(+.f64 (.f64 J (.f64 l (+.f64 (.f64 1/3 (.f64 l l)) 2))) U)
	16.9b	(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l 1/3)))) U)
✓	0.0b	(+.f64 (.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) U)
✓	0.5b	(+.f64 (.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l))) U)
✓	0.5b	(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
✓	29.9b	(+.f64 (cbrt.f64 (+.f64 l l)) U)
	43.0b	(.f64 (-.f64 (+.f64 l l) (.f64 U U)) (/.f64 1 (-.f64 (+.f64 l l) U)))
	61.9b	(.f64 (.f64 4 l) (*.f64 l J))
✓	54.0b	(.f64 l (.f64 J 2))
	61.9b	(.f64 4 (.f64 J (*.f64 l l)))
	17.1b	U

Compiler

Compiled 445 to 315 computations (29.2% saved)

regimes242.0ms (1%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

15 calls:

56.0ms	l
22.0ms	(/.f64 K 2)
20.0ms	J
19.0ms	U
18.0ms	(/.f64 K 2)

Results

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

Compiler

Compiled 595 to 351 computations (41% saved)

regimes178.0ms (0.8%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

10 calls:

50.0ms	(/.f64 K 2)
19.0ms	l
19.0ms	K
17.0ms	J
16.0ms	U

Results

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

Compiler

Compiled 383 to 209 computations (45.4% saved)

regimes72.0ms (0.3%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	K
16.0ms	U
15.0ms	l
14.0ms	J

Results

Error	Segments	Branch
0.5b	1	`J`
0.5b	1	`l`
0.5b	1	`K`
0.5b	1	`U`

Compiler

Compiled 287 to 142 computations (50.5% saved)

regimes67.0ms (0.3%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	U
14.0ms	J
13.0ms	K
13.0ms	l

Results

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

Compiler

Compiled 275 to 134 computations (51.3% saved)

regimes49.0ms (0.2%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	l
11.0ms	K
11.0ms	U
10.0ms	J

Results

Error	Segments	Branch
9.1b	1	`J`
9.1b	1	`l`
9.1b	1	`K`
9.1b	1	`U`

Compiler

Compiled 222 to 105 computations (52.7% saved)

regimes39.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

Inputs
U
(.f64 l (.f64 J 2))
(+.f64 (+.f64 l l) U)
(.f64 4 (.f64 J (*.f64 l l)))
(.f64 (.f64 4 l) (*.f64 l J))
(+.f64 (*.f64 (+.f64 l l) J) U)
(+.f64 (/.f64 1 (+.f64 l l)) U)
(-.f64 (+.f64 1 (+.f64 (+.f64 l l) U)) 1)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l 1/3)))) U)
(+.f64 (.f64 (.f64 l J) (.f64 -1/4 (.f64 K K))) U)
(+.f64 (.f64 J (.f64 l (+.f64 (.f64 1/3 (.f64 l l)) 2))) U)
(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 -1/4 (.f64 K K)))) U)
(/.f64 (-.f64 (+.f64 l l) (*.f64 U U)) (-.f64 (+.f64 l l) U))
(.f64 (+.f64 l (-.f64 l (.f64 U U))) (/.f64 0 (-.f64 (+.f64 l l) U)))
(.f64 (-.f64 (+.f64 l l) (.f64 U U)) (/.f64 1 (-.f64 (+.f64 l l) U)))

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

Calls

4 calls:

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

Results

Error	Segments	Branch
9.1b	1	`J`
9.1b	1	`l`
9.1b	1	`K`
9.1b	1	`U`

Compiler

Compiled 163 to 78 computations (52.1% saved)

regimes29.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
U
(.f64 l (.f64 J 2))
(+.f64 (+.f64 l l) U)
(.f64 4 (.f64 J (*.f64 l l)))
(.f64 (.f64 4 l) (*.f64 l J))
(+.f64 (*.f64 (+.f64 l l) J) U)
(+.f64 (/.f64 1 (+.f64 l l)) U)
(-.f64 (+.f64 1 (+.f64 (+.f64 l l) U)) 1)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l 1/3)))) U)
(+.f64 (.f64 (.f64 l J) (.f64 -1/4 (.f64 K K))) U)

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 94 to 53 computations (43.6% saved)

regimes50.0ms (0.2%)

Accuracy

Total -47.6b remaining (-321.2%)

Threshold costs -47.6b (-321.2%)

Counts

5 → 5

Calls

Call 1

Inputs
U
(.f64 l (.f64 J 2))
(+.f64 (+.f64 l l) U)
(.f64 4 (.f64 J (*.f64 l l)))
(.f64 (.f64 4 l) (*.f64 l J))

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

Calls

4 calls:

20.0ms	U
12.0ms	J
11.0ms	K
5.0ms	l

Results

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

Compiler

Compiled 49 to 33 computations (32.7% saved)

bsearch230.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
58.0ms	5.88479720298891e-252	5.035153718280501e-247
73.0ms	-1.4900747312860762e-253	-4.0700442026789e-273
54.0ms	-1.8559833708127668e-179	-2.0931202718502835e-184
44.0ms	-1.2358993819441796e-119	-4.122339840083479e-122

Results

127.0ms	240×	body	1024	valid
48.0ms	149×	body	512	valid
34.0ms	191×	body	256	valid
10.0ms	12×	body	2048	valid

Compiler

Compiled 618 to 501 computations (18.9% saved)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
9×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	161
1	85	161

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
(+.f64 (.f64 J (+.f64 (.f64 (.f64 1/3 (.f64 l l)) l) (*.f64 2 l))) U)
(+.f64 (.f64 J (.f64 l (+.f64 (.f64 1/3 (.f64 l l)) 2))) U)
(+.f64 (*.f64 (+.f64 l l) J) U)
(if (<=.f64 U -7814969963626365/186070713419675363980626894819329160794532188335953423432061490990243657757029868371504908982723472783555205531204141550984858016925351936) U (if (<=.f64 U -5255931591500769/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (.f64 l (.f64 J 2)) (if (<=.f64 U -7616908286351531/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384) U (if (<=.f64 U 8061134813471455/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176) (.f64 l (.f64 J 2)) U))))
U

Outputs
(+.f64 (.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l))) U)
(+.f64 U (.f64 J (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K))))))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 U (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))))
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
(+.f64 U (.f64 J (.f64 2 (sinh.f64 l))))
(+.f64 (.f64 J (+.f64 (.f64 (.f64 1/3 (.f64 l l)) l) (*.f64 2 l))) U)
(+.f64 U (.f64 J (+.f64 (.f64 l (.f64 1/3 (.f64 l l))) (*.f64 2 l))))
(+.f64 (.f64 J (.f64 l (+.f64 (.f64 1/3 (.f64 l l)) 2))) U)
(+.f64 U (.f64 J (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l))))))
(+.f64 (*.f64 (+.f64 l l) J) U)
(+.f64 U (*.f64 J (+.f64 l l)))
(if (<=.f64 U -7814969963626365/186070713419675363980626894819329160794532188335953423432061490990243657757029868371504908982723472783555205531204141550984858016925351936) U (if (<=.f64 U -5255931591500769/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (.f64 l (.f64 J 2)) (if (<=.f64 U -7616908286351531/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384) U (if (<=.f64 U 8061134813471455/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176) (.f64 l (.f64 J 2)) U))))
U

Compiler

Compiled 146 to 104 computations (28.8% saved)

soundness72.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

865×	`fma-def_binary64`
470×	`unswap-sqr_binary64`
382×	`log-prod_binary64`
270×	`associate-r_binary64`
267×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	1879
1	513	1824
2	2154	1754
3	7043	1754

Stop Event

1×	node limit

Compiler

Compiled 62 to 50 computations (19.4% saved)

end113.0ms (0.5%)

Compiler: Compiled 114 to 70 computations (38.6% saved)