Details

analyze649.0ms (4.5%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 15 computations (25% saved)

sample5.8s (40%)

Results

1.3s	1636×	body	1024	valid
1.3s	2045×	body	1024	infinite
1.3s	5315×	body	256	valid
828.0ms	3707×	body	256	infinite
541.0ms	1241×	body	512	valid
370.0ms	1032×	body	512	infinite
72.0ms	64×	body	2048	valid

Bogosity

preprocess101.0ms (0.7%)

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)

simplify94.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

18.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.3b	(+.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)

localize46.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
✓	4.1b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 65 to 24 computations (63.1% saved)

series18.0ms (0.1%)

Counts

2 → 44

Calls

12 calls:

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

rewrite122.0ms (0.8%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	12
1	277	12
2	4319	12
0	6	6
1	130	6
2	2188	6
0	6	6
0	13	17
1	277	17
2	4318	17
0	13	17

Stop Event

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

Counts

2 → 19

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)))

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))))))))))

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))))))))))

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

516×	`fma-def_binary64`
502×	`unsub-neg_binary64`
372×	`distribute-rgt-neg-out_binary64`
337×	`distribute-lft-in_binary64`
337×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	1038
1	220	994
2	663	951
3	2852	905
4	6137	905

Stop Event

1×	node limit

Counts

63 → 45

Calls

Call 1

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

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

eval18.0ms (0.1%)

Compiler: Compiled 995 to 591 computations (40.6% saved)

prune16.0ms (0.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	38	7	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	7	46

Error

0.0b

Counts

46 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	9.6b	(+.f64 (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)))))) U)
▶	0.1b	(+.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 1) U)
▶	18.5b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
▶	0.2b	(+.f64 (.f64 (.f64 J (*.f64 2 l)) (cos.f64 (/.f64 K 2))) U)
▶	0.1b	(+.f64 (.f64 (.f64 J (*.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)
	0.4b	(+.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)

Compiler

Compiled 324 to 240 computations (25.9% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 72 to 47 computations (34.7% saved)

series29.0ms (0.2%)

Counts

4 → 120

Calls

30 calls:

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

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`log-prod_binary64`
395×	`pow2_binary64`
355×	`fma-def_binary64`
274×	`pow1/3_binary64`
271×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	318	52
2	3882	52

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

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

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

simplify114.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

642×	`fma-neg_binary64`
461×	`associate-l_binary64`
397×	`distribute-rgt-in_binary64`
393×	`distribute-lft-in_binary64`
349×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	120	2785
1	345	2679
2	1063	2561
3	3676	2479
4	7112	2471

Stop Event

1×	node limit

Counts

253 → 194

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 46 to 30 computations (34.8% saved)

series11.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

675×	`log-prod_binary64`
460×	`pow-prod-down_binary64`
341×	`pow2_binary64`
328×	`fma-def_binary64`
254×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	260	31
2	3409	31

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

simplify213.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

167 → 104

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	4.1b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 52 to 31 computations (40.4% saved)

series7.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	283	35
2	3723	35

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 J (*.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))) U))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 J (*.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))))) 2) (fma.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 K 1/2)) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 K 1/2)) (neg.f64 U))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 J (*.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))) U) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 J (*.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))) U))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 J (*.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))) U)) (pow.f64 (cbrt.f64 (fma.f64 J (*.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))) U)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 J 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simplify110.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-def_binary64`
339×	`distribute-lft-out_binary64`
322×	`distribute-lft-neg-out_binary64`
317×	`distribute-rgt-out_binary64`
310×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	2045
1	233	1965
2	696	1889
3	3158	1827
4	5527	1827

Stop Event

1×	node limit

Counts

167 → 119

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

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

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(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)))
✓	0.3b	(.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (*.f64 2 (sinh.f64 l))))

Compiler

Compiled 89 to 56 computations (37.1% saved)

series19.0ms (0.1%)

Counts

3 → 56

Calls

15 calls:

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

rewrite114.0ms (0.8%)

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	31
1	272	31
2	3121	31

Stop Event

1×	node limit

Counts

3 → 95

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)))

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

simplify152.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

795×	`associate-l_binary64`
779×	`associate-r_binary64`
581×	`fma-def_binary64`
477×	`distribute-rgt-out_binary64`
464×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	1878
1	263	1374
2	993	1188
3	5262	1168
4	7734	1168

Stop Event

1×	node limit

Counts

151 → 124

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 2) 2) l)
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) l) (.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 l 3))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) l) (+.f64 (.f64 1/120 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 l 5))) (.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 l 3)))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) l) (+.f64 (.f64 1/120 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 l 5))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 l 3))) (.f64 1/5040 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 l 7))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (.f64 1/6 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (pow.f64 l 3) J)))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J)))) (.f64 1/120 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 5) J))))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 7) J)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J)))) (.f64 1/120 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (pow.f64 l 5) J)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))) (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))) (+.f64 (.f64 1/768 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 4) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))) (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))))
(+.f64 (.f64 -1/92160 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 6) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))) (+.f64 (.f64 1/768 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 4) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))) (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))

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

eval539.0ms (3.7%)

Compiler: Compiled 15605 to 9967 computations (36.1% saved)

prune137.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	702	9	711
Fresh	2	0	2
Picked	1	0	1
Done	3	1	4
Total	708	10	718

Error

Counts

718 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.6b	(+.f64 (.f64 (.f64 J (pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 l))) 2)) (cos.f64 (/.f64 K 2))) U)
✓	0.2b	(+.f64 (.f64 (.f64 J (*.f64 2 l)) (cos.f64 (/.f64 K 2))) U)
	19.1b	U
	0.2b	(fma.f64 (+.f64 l l) (.f64 J (cos.f64 (.f64 K 1/2))) U)
▶	0.1b	(+.f64 (.f64 (.f64 J (.f64 2 (/.f64 1 (/.f64 2 (.f64 2 (sinh.f64 l)))))) (cos.f64 (/.f64 K 2))) U)
▶	0.2b	(+.f64 (+.f64 0 (.f64 J (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2))))) U)
▶	9.6b	(+.f64 (cbrt.f64 (pow.f64 (.f64 J (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)))) 3)) U)
▶	8.8b	(+.f64 (.f64 (.f64 2 l) J) U)
	8.6b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
	0.5b	(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)

Compiler

Compiled 295 to 224 computations (24.1% saved)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 95 to 68 computations (28.4% saved)

series8.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`log-prod_binary64`
341×	`fma-def_binary64`
291×	`expm1-udef_binary64`
291×	`log1p-udef_binary64`
239×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	50
1	372	38
2	4936	38

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs

(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 l))))

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

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

Outputs

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

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

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

simplify124.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

751×	`fma-def_binary64`
339×	`distribute-lft-out_binary64`
326×	`associate-l_binary64`
324×	`distribute-lft-neg-out_binary64`
317×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	2199
1	263	2115
2	787	2031
3	3425	1969
4	5809	1969

Stop Event

1×	node limit

Counts

211 → 160

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

series12.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	J	@	-inf	(+.f64 (.f64 (.f64 2 l) J) U)
1.0ms	U	@	inf	(+.f64 (.f64 (.f64 2 l) J) U)
1.0ms	l	@	inf	(+.f64 (.f64 (.f64 2 l) J) U)
1.0ms	l	@	0	(+.f64 (.f64 (.f64 2 l) J) U)
0.0ms	J	@	inf	(+.f64 (.f64 (.f64 2 l) J) U)

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`pow1_binary64`
831×	`add-log-exp_binary64`
830×	`log1p-expm1-u_binary64`
830×	`expm1-log1p-u_binary64`
813×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	172	8
2	2260	8

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

72 → 39

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 0 (.f64 J (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2))))) U)
✓	0.1b	(.f64 J (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2))))
✓	0.1b	(.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)))

Compiler

Compiled 64 to 36 computations (43.8% saved)

series14.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	K	@	inf	(.f64 J (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2))))
1.0ms	l	@	0	(.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)))
1.0ms	K	@	-inf	(.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)))
1.0ms	l	@	inf	(.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)))
1.0ms	K	@	inf	(.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)))

rewrite121.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

635×	`log-prod_binary64`
522×	`fma-def_binary64`
338×	`pow2_binary64`
265×	`fma-neg_binary64`
234×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	310	43
2	4031	43

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

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

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

simplify389.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	1651
1	163	1626
2	473	1577
3	1768	1577
4	2481	1577
5	2911	1577
6	3020	1577
7	3146	1577
8	3280	1577
9	3455	1577
10	3697	1577
11	5385	1577
12	5948	1577
13	6601	1577
14	7331	1577
15	7854	1577

Stop Event

1×	node limit

Counts

266 → 187

Calls

Call 1

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

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

localize99.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 J (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2))))
	0.1b	(.f64 (+.f64 l l) (cos.f64 (.f64 K 1/2)))
✓	0.2b	(pow.f64 (.f64 J (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)))) 3)
✓	27.0b	(cbrt.f64 (pow.f64 (.f64 J (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)))) 3))

Compiler

Compiled 78 to 45 computations (42.3% saved)

series198.0ms (1.4%)

Counts

2 → 72

Calls

18 calls:

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

rewrite128.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`log-prod_binary64`
373×	`pow-prod-down_binary64`
311×	`prod-diff_binary64`
298×	`pow2_binary64`
297×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	277	33
2	3259	17

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

Outputs

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

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

simplify154.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

822×	`fma-def_binary64`
520×	`*-commutative_binary64`
481×	`fma-neg_binary64`
437×	`distribute-rgt-in_binary64`
433×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	1653
1	299	1628
2	1290	1553
3	4489	1436
4	6820	1436

Stop Event

1×	node limit

Counts

158 → 108

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 -1 (.f64 (cbrt.f64 -8) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
(.f64 -1 (.f64 (cbrt.f64 -8) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
(.f64 -1 (.f64 (cbrt.f64 -8) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
(.f64 -1 (.f64 (cbrt.f64 -8) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 -1 (.f64 (cbrt.f64 -8) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
(.f64 -1 (.f64 (cbrt.f64 -8) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
(.f64 -1 (.f64 (cbrt.f64 -8) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
(.f64 -1 (.f64 (cbrt.f64 -8) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J)))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (.f64 -1/23040 (.f64 (pow.f64 K 6) (*.f64 l J))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 l 3) (pow.f64 J 3)))
(+.f64 (.f64 8 (.f64 (pow.f64 l 3) (pow.f64 J 3))) (.f64 (pow.f64 K 2) (+.f64 (.f64 -2 (.f64 (pow.f64 l 3) (pow.f64 J 3))) (.f64 -1 (*.f64 (pow.f64 l 3) (pow.f64 J 3))))))
(+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 2 (.f64 l (.f64 J (+.f64 (.f64 1/48 (.f64 (pow.f64 l 2) (pow.f64 J 2))) (.f64 1/16 (.f64 (pow.f64 l 2) (pow.f64 J 2))))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 l 3) (pow.f64 J 3))) (.f64 1/4 (.f64 (pow.f64 l 3) (pow.f64 J 3)))))) (+.f64 (.f64 8 (.f64 (pow.f64 l 3) (pow.f64 J 3))) (.f64 (pow.f64 K 2) (+.f64 (.f64 -2 (.f64 (pow.f64 l 3) (pow.f64 J 3))) (.f64 -1 (*.f64 (pow.f64 l 3) (pow.f64 J 3)))))))
(+.f64 (.f64 (pow.f64 K 6) (+.f64 (.f64 -1/4 (.f64 l (.f64 J (+.f64 (.f64 1/48 (.f64 (pow.f64 l 2) (pow.f64 J 2))) (.f64 1/16 (.f64 (pow.f64 l 2) (pow.f64 J 2))))))) (+.f64 (.f64 -1/192 (.f64 (pow.f64 l 3) (pow.f64 J 3))) (+.f64 (.f64 -1/5760 (.f64 (pow.f64 l 3) (pow.f64 J 3))) (.f64 2 (.f64 l (.f64 (+.f64 (.f64 -1/5760 (.f64 (pow.f64 l 2) (pow.f64 J 2))) (.f64 -1/384 (.f64 (pow.f64 l 2) (pow.f64 J 2)))) J))))))) (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 2 (.f64 l (.f64 J (+.f64 (.f64 1/48 (.f64 (pow.f64 l 2) (pow.f64 J 2))) (.f64 1/16 (.f64 (pow.f64 l 2) (pow.f64 J 2))))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 l 3) (pow.f64 J 3))) (.f64 1/4 (.f64 (pow.f64 l 3) (pow.f64 J 3)))))) (+.f64 (.f64 8 (.f64 (pow.f64 l 3) (pow.f64 J 3))) (.f64 (pow.f64 K 2) (+.f64 (.f64 -2 (.f64 (pow.f64 l 3) (pow.f64 J 3))) (.f64 -1 (.f64 (pow.f64 l 3) (pow.f64 J 3))))))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))

Outputs
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(.f64 -1 (.f64 (cbrt.f64 -8) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
(neg.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) (cbrt.f64 -8)))
(.f64 (.f64 (neg.f64 (cbrt.f64 -8)) (.f64 l J)) (cos.f64 (.f64 1/2 K)))
(.f64 (.f64 (.f64 l J) (cbrt.f64 -8)) (neg.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (cbrt.f64 -8) (.f64 l (neg.f64 J))))
(.f64 -1 (.f64 (cbrt.f64 -8) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
(neg.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) (cbrt.f64 -8)))
(.f64 (.f64 (neg.f64 (cbrt.f64 -8)) (.f64 l J)) (cos.f64 (.f64 1/2 K)))
(.f64 (.f64 (.f64 l J) (cbrt.f64 -8)) (neg.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (cbrt.f64 -8) (.f64 l (neg.f64 J))))
(.f64 -1 (.f64 (cbrt.f64 -8) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
(neg.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) (cbrt.f64 -8)))
(.f64 (.f64 (neg.f64 (cbrt.f64 -8)) (.f64 l J)) (cos.f64 (.f64 1/2 K)))
(.f64 (.f64 (.f64 l J) (cbrt.f64 -8)) (neg.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (cbrt.f64 -8) (.f64 l (neg.f64 J))))
(.f64 -1 (.f64 (cbrt.f64 -8) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
(neg.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) (cbrt.f64 -8)))
(.f64 (.f64 (neg.f64 (cbrt.f64 -8)) (.f64 l J)) (cos.f64 (.f64 1/2 K)))
(.f64 (.f64 (.f64 l J) (cbrt.f64 -8)) (neg.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (cbrt.f64 -8) (.f64 l (neg.f64 J))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(.f64 -1 (.f64 (cbrt.f64 -8) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
(neg.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) (cbrt.f64 -8)))
(.f64 (.f64 (neg.f64 (cbrt.f64 -8)) (.f64 l J)) (cos.f64 (.f64 1/2 K)))
(.f64 (.f64 (.f64 l J) (cbrt.f64 -8)) (neg.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (cbrt.f64 -8) (.f64 l (neg.f64 J))))
(.f64 -1 (.f64 (cbrt.f64 -8) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J))))
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(fma.f64 (pow.f64 K 6) (fma.f64 -1/4 (.f64 (.f64 l J) (.f64 (.f64 (.f64 l l) (.f64 J J)) 1/12)) (fma.f64 -1/192 (.f64 (pow.f64 l 3) (pow.f64 J 3)) (fma.f64 -1/5760 (.f64 (pow.f64 l 3) (pow.f64 J 3)) (.f64 2 (.f64 (.f64 l (.f64 (.f64 (.f64 l l) (.f64 J J)) -1/360)) J))))) (fma.f64 (pow.f64 K 4) (fma.f64 2 (.f64 (.f64 l J) (.f64 (.f64 (.f64 l l) (.f64 J J)) 1/12)) (.f64 (.f64 (pow.f64 l 3) (pow.f64 J 3)) 13/48)) (fma.f64 8 (.f64 (pow.f64 l 3) (pow.f64 J 3)) (.f64 (.f64 K K) (.f64 (.f64 (pow.f64 l 3) (pow.f64 J 3)) -3)))))
(fma.f64 (pow.f64 K 6) (fma.f64 -1/4 (.f64 l (.f64 (.f64 (.f64 l J) (.f64 l J)) (.f64 1/12 J))) (+.f64 (.f64 2 (.f64 (.f64 l J) (.f64 (.f64 l l) (.f64 (.f64 J J) -1/360)))) (.f64 (.f64 (pow.f64 l 3) (pow.f64 J 3)) -31/5760))) (fma.f64 (pow.f64 K 4) (fma.f64 (.f64 (pow.f64 l 3) (pow.f64 J 3)) 13/48 (.f64 l (.f64 (.f64 (.f64 (.f64 l J) (.f64 l J)) (.f64 1/12 J)) 2))) (fma.f64 (.f64 K K) (.f64 (pow.f64 l 3) (.f64 (pow.f64 J 3) -3)) (.f64 (.f64 8 (pow.f64 J 3)) (pow.f64 l 3)))))
(fma.f64 (pow.f64 K 4) (fma.f64 2 (.f64 1/12 (pow.f64 (.f64 l J) 3)) (.f64 (pow.f64 l 3) (.f64 (pow.f64 J 3) 13/48))) (fma.f64 (pow.f64 K 6) (fma.f64 -1/4 (.f64 1/12 (pow.f64 (.f64 l J) 3)) (fma.f64 2 (.f64 l (.f64 J (.f64 (.f64 l l) (.f64 (.f64 J J) -1/360)))) (.f64 (pow.f64 J 3) (.f64 (pow.f64 l 3) -31/5760)))) (.f64 (.f64 (pow.f64 l 3) (pow.f64 J 3)) (+.f64 8 (.f64 (.f64 K K) -3)))))
(fma.f64 (pow.f64 K 4) (fma.f64 2 (.f64 (pow.f64 (.f64 l J) 3) 1/12) (.f64 (pow.f64 (.f64 l J) 3) 13/48)) (fma.f64 (pow.f64 K 6) (fma.f64 -1/4 (.f64 (pow.f64 (.f64 l J) 3) 1/12) (fma.f64 (pow.f64 (.f64 l J) 3) -31/5760 (.f64 2 (.f64 l (.f64 J (.f64 (.f64 l l) (.f64 (.f64 J J) -1/360))))))) (.f64 (pow.f64 (.f64 l J) 3) (+.f64 8 (.f64 (.f64 K K) -3)))))
(fma.f64 (pow.f64 K 4) (fma.f64 2 (.f64 (pow.f64 (.f64 l J) 3) 1/12) (.f64 (pow.f64 (.f64 l J) 3) 13/48)) (fma.f64 (pow.f64 K 6) (fma.f64 -1/4 (.f64 (pow.f64 (.f64 l J) 3) 1/12) (fma.f64 2 (.f64 (.f64 l J) (.f64 J (.f64 J (.f64 (.f64 l l) -1/360)))) (.f64 (pow.f64 (.f64 l J) 3) -31/5760))) (.f64 (pow.f64 (.f64 l J) 3) (+.f64 8 (.f64 (.f64 K K) -3)))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (.f64 8 (pow.f64 J 3)) (pow.f64 l 3)))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 (.f64 l J) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 8 (pow.f64 (.f64 l J) 3)))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (.f64 8 (pow.f64 J 3)) (pow.f64 l 3)))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 (.f64 l J) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 8 (pow.f64 (.f64 l J) 3)))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (.f64 8 (pow.f64 J 3)) (pow.f64 l 3)))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 (.f64 l J) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 8 (pow.f64 (.f64 l J) 3)))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (.f64 8 (pow.f64 J 3)) (pow.f64 l 3)))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 (.f64 l J) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 8 (pow.f64 (.f64 l J) 3)))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (.f64 8 (pow.f64 J 3)) (pow.f64 l 3)))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 (.f64 l J) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 8 (pow.f64 (.f64 l J) 3)))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (.f64 8 (pow.f64 J 3)) (pow.f64 l 3)))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 (.f64 l J) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 8 (pow.f64 (.f64 l J) 3)))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (.f64 8 (pow.f64 J 3)) (pow.f64 l 3)))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 (.f64 l J) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 8 (pow.f64 (.f64 l J) 3)))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (pow.f64 l 3) (pow.f64 J 3))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 (.f64 8 (pow.f64 J 3)) (pow.f64 l 3)))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 (.f64 l J) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (.f64 8 (pow.f64 (.f64 l J) 3)))

localize65.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (*.f64 2 (sinh.f64 l)))
	0.0b	(sinh.f64 l)
✓	0.1b	(.f64 (.f64 J (pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 l))) 2)) (cos.f64 (/.f64 K 2)))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 l))) 2)

Compiler

Compiled 73 to 48 computations (34.2% saved)

series12.0ms (0.1%)

Counts

2 → 44

Calls

12 calls:

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

rewrite114.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`log-prod_binary64`
421×	`pow-prod-down_binary64`
312×	`pow2_binary64`
263×	`pow-unpow_binary64`
223×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	276	23
2	3070	23

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

simplify109.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

807×	`distribute-lft-out_binary64`
730×	`associate-l_binary64`
710×	`associate-r_binary64`
457×	`distribute-rgt-out_binary64`
439×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	1616
1	230	1140
2	878	954
3	4763	903

Stop Event

1×	node limit

Counts

112 → 88

Calls

Call 1

Inputs
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (.f64 1/6 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (pow.f64 l 3) J)))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J)))) (.f64 1/120 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 5) J))))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 7) J)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J)))) (.f64 1/120 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (pow.f64 l 5) J)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))) (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))) (+.f64 (.f64 1/768 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 4) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))) (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))))
(+.f64 (.f64 -1/92160 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 6) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))) (+.f64 (.f64 1/768 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 4) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))) (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))

Outputs
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 1)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 1)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 1)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 1)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 1)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 1)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 1)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 1)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 (.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
(.f64 (.f64 1 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))) J)
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 (.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
(.f64 (.f64 1 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))) J)
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 (.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
(.f64 (.f64 1 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))) J)
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
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(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (+.f64 (+.f64 1 (.f64 (pow.f64 K 4) 1/384)) (+.f64 (.f64 (.f64 K K) -1/8) (.f64 (pow.f64 K 6) -1/46080))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 (.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
(.f64 (.f64 1 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))) J)
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 (.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
(.f64 (.f64 1 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))) J)
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 (.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
(.f64 (.f64 1 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))) J)
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 (.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
(.f64 (.f64 1 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))) J)
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 (.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
(.f64 (.f64 1 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))) J)
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 (.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
(.f64 (.f64 1 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))) J)
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 (.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
(.f64 (.f64 1 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))) J)
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 (.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
(.f64 (.f64 1 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))) J)
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))

eval621.0ms (4.3%)

Compiler: Compiled 16219 to 9983 computations (38.4% saved)

prune169.0ms (1.2%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	781	11	792
Fresh	3	1	4
Picked	1	0	1
Done	2	3	5
Total	787	15	802

Error

Counts

802 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	31.5b	(-.f64 (+.f64 1 (fma.f64 (*.f64 2 l) J U)) 1)
	19.1b	U
▶	0.2b	(fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 K 1/2)) J) U)
▶	8.8b	(fma.f64 (*.f64 2 l) J U)
	0.3b	(+.f64 (.f64 (.f64 J (.f64 2 (/.f64 1 (/.f64 2 (.f64 2 l))))) (cos.f64 (/.f64 K 2))) U)
	19.0b	(+.f64 (.f64 (+.f64 l l) (.f64 J (+.f64 l l))) U)
	31.8b	(+.f64 (.f64 (.f64 J (pow.f64 (sqrt.f64 (*.f64 2 l)) 2)) (cos.f64 (/.f64 K 2))) U)
✓	9.6b	(+.f64 (cbrt.f64 (pow.f64 (.f64 J (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)))) 3)) U)
✓	8.8b	(+.f64 (.f64 (.f64 2 l) J) U)
✓	0.2b	(+.f64 (.f64 (.f64 J (*.f64 2 l)) (cos.f64 (/.f64 K 2))) U)
	8.6b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
▶	0.2b	(+.f64 (.f64 (.f64 l (cos.f64 (.f64 1/2 K))) (.f64 2 J)) U)
	0.5b	(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
▶	33.9b	(+.f64 (sqrt.f64 (.f64 J (.f64 J (+.f64 l l)))) U)
▶	52.2b	(.f64 2 (.f64 l J))

Compiler

Compiled 381 to 280 computations (26.5% saved)

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 20 computations (44.4% saved)

series9.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

507×	`log-prod_binary64`
396×	`exp-prod_binary64`
385×	`prod-diff_binary64`
306×	`pow-prod-down_binary64`
282×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	226	25
2	2855	25

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify294.0ms (2%)

Algorithm

1×	egg-herbie

Rules

728×	`sqr-pow_binary64`
513×	`*-commutative_binary64`
439×	`cube-prod_binary64`
406×	`pow-sqr_binary64`
395×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	993
1	148	985
2	452	963
3	1605	962
4	2409	962
5	3150	962
6	3319	962
7	3571	962
8	4015	962
9	4469	962
10	4888	962
11	5261	962
12	5625	962
13	6066	962
14	6618	962
15	7300	962
16	7632	962
17	7966	962

Stop Event

1×	node limit

Counts

132 → 82

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

series5.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`pow1_binary64`
509×	`add-log-exp_binary64`
509×	`log1p-expm1-u_binary64`
509×	`expm1-log1p-u_binary64`
499×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1392	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.1%)

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sqrt.f64 (.f64 J (.f64 J (+.f64 l l)))) U)
✓	0.1b	(.f64 J (.f64 J (+.f64 l l)))
✓	23.7b	(sqrt.f64 (.f64 J (.f64 J (+.f64 l l))))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series22.0ms (0.1%)

Counts

3 → 61

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	J	@	-inf	(+.f64 (sqrt.f64 (.f64 J (.f64 J (+.f64 l l)))) U)
2.0ms	l	@	0	(.f64 J (.f64 J (+.f64 l l)))
2.0ms	l	@	-inf	(sqrt.f64 (.f64 J (.f64 J (+.f64 l l))))
1.0ms	J	@	0	(.f64 J (.f64 J (+.f64 l l)))
1.0ms	l	@	inf	(.f64 J (.f64 J (+.f64 l l)))

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`pow1_binary64`
911×	`add-log-exp_binary64`
910×	`log1p-expm1-u_binary64`
910×	`expm1-log1p-u_binary64`
106×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	202	27
2	3090	27

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

Outputs

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

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

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

simplify122.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

793×	`fma-def_binary64`
662×	`fma-neg_binary64`
465×	`neg-sub0_binary64`
455×	`neg-mul-1_binary64`
431×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	644
1	37	641
2	92	641
3	223	641
4	536	641
5	1613	641
6	2484	641
7	3758	641
8	4476	641
9	5313	641
10	7244	641

Stop Event

1×	node limit

Counts

164 → 114

Calls

Call 1

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

Outputs
(.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l))
(.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l)))
(.f64 J (.f64 (sqrt.f64 2) (sqrt.f64 l)))
(.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l))
(.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l)))
(.f64 J (.f64 (sqrt.f64 2) (sqrt.f64 l)))
(.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l))
(.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l)))
(.f64 J (.f64 (sqrt.f64 2) (sqrt.f64 l)))
(.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l))
(.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l)))
(.f64 J (.f64 (sqrt.f64 2) (sqrt.f64 l)))
(.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l))
(.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l)))
(.f64 J (.f64 (sqrt.f64 2) (sqrt.f64 l)))
(.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l))
(.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l)))
(.f64 J (.f64 (sqrt.f64 2) (sqrt.f64 l)))
(.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l))
(.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l)))
(.f64 J (.f64 (sqrt.f64 2) (sqrt.f64 l)))
(.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l))
(.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l)))
(.f64 J (.f64 (sqrt.f64 2) (sqrt.f64 l)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l)))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l))))
(.f64 (.f64 (sqrt.f64 2) J) (neg.f64 (sqrt.f64 l)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 l) (neg.f64 J)))
(.f64 (sqrt.f64 2) (.f64 J (neg.f64 (sqrt.f64 l))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l)))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l))))
(.f64 (.f64 (sqrt.f64 2) J) (neg.f64 (sqrt.f64 l)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 l) (neg.f64 J)))
(.f64 (sqrt.f64 2) (.f64 J (neg.f64 (sqrt.f64 l))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l)))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l))))
(.f64 (.f64 (sqrt.f64 2) J) (neg.f64 (sqrt.f64 l)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 l) (neg.f64 J)))
(.f64 (sqrt.f64 2) (.f64 J (neg.f64 (sqrt.f64 l))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l)))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l))))
(.f64 (.f64 (sqrt.f64 2) J) (neg.f64 (sqrt.f64 l)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 l) (neg.f64 J)))
(.f64 (sqrt.f64 2) (.f64 J (neg.f64 (sqrt.f64 l))))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
(.f64 2 (.f64 l (pow.f64 J 2)))
(.f64 (.f64 2 l) (*.f64 J J))
(.f64 l (.f64 (*.f64 J J) 2))
(.f64 2 (.f64 J (*.f64 J l)))
(.f64 2 (.f64 l (*.f64 J J)))
(.f64 (.f64 J l) (*.f64 2 J))
U
(+.f64 (.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l)) U)
(fma.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l) U)
(fma.f64 (sqrt.f64 2) (*.f64 J (sqrt.f64 l)) U)
(fma.f64 J (*.f64 (sqrt.f64 2) (sqrt.f64 l)) U)
(+.f64 (.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l)) U)
(fma.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l) U)
(fma.f64 (sqrt.f64 2) (*.f64 J (sqrt.f64 l)) U)
(fma.f64 J (*.f64 (sqrt.f64 2) (sqrt.f64 l)) U)
(+.f64 (.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l)) U)
(fma.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l) U)
(fma.f64 (sqrt.f64 2) (*.f64 J (sqrt.f64 l)) U)
(fma.f64 J (*.f64 (sqrt.f64 2) (sqrt.f64 l)) U)
(.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l))
(.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l)))
(.f64 J (.f64 (sqrt.f64 2) (sqrt.f64 l)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l)) U)
(fma.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l) U)
(fma.f64 (sqrt.f64 2) (*.f64 J (sqrt.f64 l)) U)
(fma.f64 J (*.f64 (sqrt.f64 2) (sqrt.f64 l)) U)
(+.f64 (.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l)) U)
(fma.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l) U)
(fma.f64 (sqrt.f64 2) (*.f64 J (sqrt.f64 l)) U)
(fma.f64 J (*.f64 (sqrt.f64 2) (sqrt.f64 l)) U)
(+.f64 (.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l)) U)
(fma.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l) U)
(fma.f64 (sqrt.f64 2) (*.f64 J (sqrt.f64 l)) U)
(fma.f64 J (*.f64 (sqrt.f64 2) (sqrt.f64 l)) U)
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l)))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l))))
(.f64 (.f64 (sqrt.f64 2) J) (neg.f64 (sqrt.f64 l)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 l) (neg.f64 J)))
(.f64 (sqrt.f64 2) (.f64 J (neg.f64 (sqrt.f64 l))))
(+.f64 (.f64 -1 (.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l))) U)
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l))) U)
(-.f64 U (.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l))))
(-.f64 U (.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l)))
(fma.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 l) (neg.f64 J)) U)
(-.f64 U (.f64 J (.f64 (sqrt.f64 2) (sqrt.f64 l))))
(+.f64 (.f64 -1 (.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l))) U)
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l))) U)
(-.f64 U (.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l))))
(-.f64 U (.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l)))
(fma.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 l) (neg.f64 J)) U)
(-.f64 U (.f64 J (.f64 (sqrt.f64 2) (sqrt.f64 l))))
(+.f64 (.f64 -1 (.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l))) U)
(fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l))) U)
(-.f64 U (.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l))))
(-.f64 U (.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l)))
(fma.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 l) (neg.f64 J)) U)
(-.f64 U (.f64 J (.f64 (sqrt.f64 2) (sqrt.f64 l))))
U
(.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l))
(.f64 (sqrt.f64 2) (.f64 J (sqrt.f64 l)))
(.f64 J (.f64 (sqrt.f64 2) (sqrt.f64 l)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l)) U)
(fma.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l) U)
(fma.f64 (sqrt.f64 2) (*.f64 J (sqrt.f64 l)) U)
(fma.f64 J (*.f64 (sqrt.f64 2) (sqrt.f64 l)) U)
(+.f64 (.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l)) U)
(fma.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l) U)
(fma.f64 (sqrt.f64 2) (*.f64 J (sqrt.f64 l)) U)
(fma.f64 J (*.f64 (sqrt.f64 2) (sqrt.f64 l)) U)
(+.f64 (.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l)) U)
(fma.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l) U)
(fma.f64 (sqrt.f64 2) (*.f64 J (sqrt.f64 l)) U)
(fma.f64 J (*.f64 (sqrt.f64 2) (sqrt.f64 l)) U)
U
(+.f64 (.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l)) U)
(fma.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l) U)
(fma.f64 (sqrt.f64 2) (*.f64 J (sqrt.f64 l)) U)
(fma.f64 J (*.f64 (sqrt.f64 2) (sqrt.f64 l)) U)
(+.f64 (.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l)) U)
(fma.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l) U)
(fma.f64 (sqrt.f64 2) (*.f64 J (sqrt.f64 l)) U)
(fma.f64 J (*.f64 (sqrt.f64 2) (sqrt.f64 l)) U)
(+.f64 (.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l)) U)
(fma.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l) U)
(fma.f64 (sqrt.f64 2) (*.f64 J (sqrt.f64 l)) U)
(fma.f64 J (*.f64 (sqrt.f64 2) (sqrt.f64 l)) U)
U
(+.f64 (.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l)) U)
(fma.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l) U)
(fma.f64 (sqrt.f64 2) (*.f64 J (sqrt.f64 l)) U)
(fma.f64 J (*.f64 (sqrt.f64 2) (sqrt.f64 l)) U)
(+.f64 (.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l)) U)
(fma.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l) U)
(fma.f64 (sqrt.f64 2) (*.f64 J (sqrt.f64 l)) U)
(fma.f64 J (*.f64 (sqrt.f64 2) (sqrt.f64 l)) U)
(+.f64 (.f64 (.f64 (sqrt.f64 2) J) (sqrt.f64 l)) U)
(fma.f64 (*.f64 (sqrt.f64 2) J) (sqrt.f64 l) U)
(fma.f64 (sqrt.f64 2) (*.f64 J (sqrt.f64 l)) U)
(fma.f64 J (*.f64 (sqrt.f64 2) (sqrt.f64 l)) U)

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 48 to 32 computations (33.3% saved)

series9.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`log-prod_binary64`
462×	`pow-prod-down_binary64`
367×	`fma-def_binary64`
354×	`pow2_binary64`
251×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	273	40
2	3449	40

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

Outputs

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simplify345.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3629×	`fma-def_binary64`
728×	`sqr-pow_binary64`
524×	`cube-prod_binary64`
493×	`*-commutative_binary64`
406×	`pow-sqr_binary64`

Iterations

Useful iterations: 18 (0.0ms)

Iter	Nodes	Cost
0	58	1583
1	163	1557
2	491	1519
3	1923	1518
4	2894	1518
5	3507	1518
6	3618	1518
7	3807	1518
8	4043	1518
9	4262	1518
10	4525	1518
11	4850	1518
12	5216	1518
13	5661	1518
14	6209	1518
15	6887	1518
16	7215	1518
17	7549	1518
18	7909	1498

Stop Event

1×	node limit

Counts

213 → 134

Calls

Call 1

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

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

eval99.0ms (0.7%)

Compiler: Compiled 5434 to 2856 computations (47.4% saved)

prune65.0ms (0.4%)

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	332	9	341
Fresh	3	4	7
Picked	0	1	1
Done	2	5	7
Total	337	19	356

Error

Counts

356 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 K 1/2)) J) U)
	19.1b	U
	19.0b	(+.f64 (.f64 (+.f64 l l) (.f64 l (+.f64 J J))) U)
✓	8.8b	(fma.f64 (*.f64 2 l) J U)
	0.3b	(+.f64 (.f64 (.f64 J (.f64 2 (/.f64 1 (/.f64 2 (.f64 2 l))))) (cos.f64 (/.f64 K 2))) U)
	44.4b	(/.f64 1 (/.f64 (-.f64 (.f64 l (+.f64 J J)) U) (-.f64 (.f64 J (.f64 l (+.f64 J J))) (.f64 U U))))
	14.7b	(+.f64 (fabs.f64 (*.f64 l (+.f64 J J))) U)
	44.4b	(.f64 (-.f64 (.f64 J (.f64 l (+.f64 J J))) (.f64 U U)) (/.f64 1 (-.f64 (*.f64 l (+.f64 J J)) U)))
	8.6b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
	44.3b	(/.f64 (-.f64 (.f64 U U) (.f64 J (.f64 l (+.f64 J J)))) (-.f64 U (.f64 l (+.f64 J J))))
	44.3b	(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
✓	52.2b	(.f64 2 (.f64 l J))
	31.8b	(+.f64 (.f64 (.f64 J (pow.f64 (sqrt.f64 (*.f64 2 l)) 2)) (cos.f64 (/.f64 K 2))) U)
✓	9.6b	(+.f64 (cbrt.f64 (pow.f64 (.f64 J (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2)))) 3)) U)
✓	8.8b	(+.f64 (.f64 (.f64 2 l) J) U)
	56.0b	(-.f64 (+.f64 1 (.f64 2 (.f64 l J))) 1)
✓	0.2b	(+.f64 (.f64 (.f64 l (cos.f64 (.f64 1/2 K))) (.f64 2 J)) U)
	0.5b	(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
	44.3b	(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 l)))

Compiler

Compiled 298 to 206 computations (30.9% saved)

regimes222.0ms (1.5%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

15 calls:

30.0ms	l
20.0ms	(/.f64 K 2)
20.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
20.0ms	(/.f64 K 2)
19.0ms	J

Results

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

Compiler

Compiled 630 to 385 computations (38.9% saved)

regimes115.0ms (0.8%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

8 calls:

17.0ms	(/.f64 K 2)
16.0ms	l
16.0ms	J
16.0ms	U
15.0ms	K

Results

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

Compiler

Compiled 408 to 232 computations (43.1% saved)

regimes136.0ms (0.9%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

10 calls:

30.0ms	J
14.0ms	l
14.0ms	(/.f64 K 2)
14.0ms	(/.f64 K 2)
14.0ms	K

Results

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

Compiler

Compiled 331 to 183 computations (44.7% saved)

regimes132.0ms (0.9%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

10 calls:

24.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
14.0ms	(/.f64 K 2)
14.0ms	K
13.0ms	J
13.0ms	l

Results

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

Compiler

Compiled 309 to 173 computations (44% saved)

regimes137.0ms (0.9%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

4 calls:

92.0ms	J
20.0ms	K
10.0ms	l
10.0ms	U

Results

Error	Segments	Branch
7.6b	2	`J`
8.6b	1	`l`
8.6b	1	`K`
8.6b	1	`U`

Compiler

Compiled 193 to 87 computations (54.9% saved)

bsearch180.0ms (1.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
179.0ms	-3.706497875645607e+191	-2.987886861646129e+190

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes83.0ms (0.6%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

54.0ms	U
9.0ms	l
8.0ms	K
8.0ms	J

Results

Error	Segments	Branch
8.6b	1	`J`
8.6b	1	`l`
8.6b	1	`K`
8.6b	1	`U`

Compiler

Compiled 153 to 64 computations (58.2% saved)

regimes35.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	U
8.0ms	l
7.0ms	J
7.0ms	K

Results

Error	Segments	Branch
8.8b	1	`J`
8.8b	1	`l`
8.8b	1	`K`
8.8b	1	`U`

Compiler

Compiled 145 to 59 computations (59.3% saved)

regimes47.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	K
8.0ms	J
7.0ms	l
7.0ms	U

Results

Error	Segments	Branch
8.8b	1	`J`
8.8b	1	`l`
8.8b	1	`K`
8.8b	1	`U`

Compiler

Compiled 131 to 54 computations (58.8% saved)

regimes35.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	U
10.0ms	l
7.0ms	J
5.0ms	K

Results

Error	Segments	Branch
19.1b	1	`J`
18.0b	3	`l`
19.1b	1	`K`
17.6b	3	`U`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch374.0ms (2.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
227.0ms	1.3273487888027408e-306	5.707830011495594e-299
147.0ms	-3.061716887971435e-258	-1.219955462868935e-258

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes38.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
U
U
U

Outputs
U

Calls

4 calls:

12.0ms	l
8.0ms	K
8.0ms	U
8.0ms	J

Results

Error	Segments	Branch
19.1b	1	`J`
19.1b	1	`l`
19.1b	1	`K`
19.1b	1	`U`

Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
5×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	159
1	77	159

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 1) U)
(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
(fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 K 1/2)) J) U)
(+.f64 (.f64 (.f64 l (cos.f64 (.f64 1/2 K))) (.f64 2 J)) U)
(if (<=.f64 J -370649787564560713486660633213794649490067862719643458578633248750332839399597175712524725968839348513806248509443858882919102452149435918024613876254123238464524147121730630148960048266608640) (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U))
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
(fma.f64 (*.f64 2 l) J U)
(+.f64 (.f64 (.f64 2 l) J) U)
(if (<=.f64 U -6625232026832967/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) U (if (<=.f64 U 4197787277787567/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (.f64 2 (.f64 l J)) U))
U

Outputs
(+.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 1) U)
(+.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) U)
(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
(+.f64 U (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))
(fma.f64 (+.f64 l l) (.f64 (cos.f64 (.f64 K 1/2)) J) U)
(fma.f64 (+.f64 l l) (.f64 J (cos.f64 (.f64 K 1/2))) U)
(+.f64 (.f64 (.f64 l (cos.f64 (.f64 1/2 K))) (.f64 2 J)) U)
(+.f64 U (.f64 (.f64 l (cos.f64 (.f64 K 1/2))) (.f64 J 2)))
(if (<=.f64 J -370649787564560713486660633213794649490067862719643458578633248750332839399597175712524725968839348513806248509443858882919102452149435918024613876254123238464524147121730630148960048266608640) (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U))
(if (<=.f64 J -370649787564560713486660633213794649490067862719643458578633248750332839399597175712524725968839348513806248509443858882919102452149435918024613876254123238464524147121730630148960048266608640) (.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J l))) (+.f64 U (.f64 J (.f64 2 (sinh.f64 l)))))
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
(+.f64 U (.f64 J (.f64 2 (sinh.f64 l))))
(fma.f64 (*.f64 2 l) J U)
(+.f64 (.f64 (.f64 2 l) J) U)
(+.f64 U (.f64 J (.f64 2 l)))
(if (<=.f64 U -6625232026832967/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) U (if (<=.f64 U 4197787277787567/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (.f64 2 (.f64 l J)) U))
(if (<=.f64 U -6625232026832967/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) U (if (<=.f64 U 4197787277787567/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (.f64 2 (.f64 J l)) U))
U

Compiler

Compiled 148 to 108 computations (27% saved)

soundness0.0ms (0%)

end182.0ms (1.3%)

Compiler: Compiled 112 to 68 computations (39.3% saved)