Details

analyze645.0ms (4.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
18.7%	81.1%	0.2%	10
18.7%	72.9%	8.4%	11
18.7%	72.9%	8.4%	12

Compiler

Compiled 20 to 15 computations (25% saved)

sample4.7s (35.2%)

Results

1.1s	1704×	body	1024	valid
1.0s	2046×	body	1024	invalid
1.0s	5266×	body	256	valid
669.0ms	3691×	body	256	invalid
437.0ms	1220×	body	512	valid
311.0ms	992×	body	512	invalid
61.0ms	66×	body	2048	valid

preprocess77.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (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

15.6b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.6b	(+.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)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
✓	0.0b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
✓	0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
✓	6.3b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 65 to 24 computations (63.1% saved)

series21.0ms (0.2%)

Counts

4 → 116

Calls

30 calls:

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

rewrite174.0ms (1.3%)

Algorithm

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

Rules

171×	`add-sqr-sqrt_binary64`
171×	`add-sqr-sqrt_binary64`
164×	`*-un-lft-identity_binary64`
164×	`pow1_binary64`
164×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	327	36
2	5435	36
0	6	6
1	130	6
2	2188	6
0	6	6
0	13	17
1	277	17
2	4318	17
0	13	17
0	8	9
1	169	9
2	2769	9
0	8	9
0	15	18
1	327	18
2	5436	18
0	15	18

Stop Event

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

Counts

4 → 37

Calls

Call 1

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

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

simplify99.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

962×	`fma-def_binary64`
442×	`distribute-lft-neg-out_binary64`
372×	`distribute-rgt-neg-out_binary64`
363×	`associate-l_binary64`
359×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	2491
1	314	2400
2	906	2286
3	3723	2228
4	6211	2228

Stop Event

1×	node limit

Counts

153 → 90

Calls

Call 1

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

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

eval35.0ms (0.3%)

Compiler: Compiled 1962 to 1152 computations (41.3% saved)

prune25.0ms (0.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	80	10	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	10	91

Error

0.0b

Counts

91 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(+.f64 (.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))) (cos.f64 (/.f64 K 2))) U)
	36.4b	(/.f64 (+.f64 (pow.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (cos.f64 (.f64 K 1/2))) 3) (pow.f64 U 3)) (+.f64 (.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (cos.f64 (.f64 K 1/2))) (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (cos.f64 (.f64 K 1/2)))) (-.f64 (.f64 U U) (.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (cos.f64 (*.f64 K 1/2))) U))))
▶	0.7b	(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
	0.7b	(+.f64 (.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2))) U)
	0.0b	(fma.f64 (.f64 J (.f64 2 (sinh.f64 l))) (cos.f64 (*.f64 K 1/2)) U)
	0.1b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
	16.8b	U
▶	0.0b	(+.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 1) U)
▶	16.2b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
▶	9.3b	(+.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (.f64 J (.f64 2 (sinh.f64 l)))) (.f64 J (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 435 to 318 computations (26.9% 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)

series27.0ms (0.2%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	J	@	inf	(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))
3.0ms	l	@	inf	(.f64 J (.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))))
1.0ms	l	@	-inf	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2)))
1.0ms	l	@	inf	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2)))

rewrite131.0ms (1%)

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)))))

simplify160.0ms (1.2%)

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)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 35 computations (34% saved)

series20.0ms (0.1%)

Counts

4 → 124

Calls

36 calls:

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

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

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

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

simplify222.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

241 → 155

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
	6.3b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series2.0ms (0%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	l	@	0	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
0.0ms	J	@	inf	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
0.0ms	l	@	-inf	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
0.0ms	J	@	-inf	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
0.0ms	l	@	inf	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)

rewrite37.0ms (0.3%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 6

Calls

Call 1

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

Outputs

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

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

728×	`unswap-sqr_binary64`
622×	`fma-def_binary64`
345×	`associate-/l*_binary64`
323×	`associate-/r*_binary64`
316×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	140
1	85	137
2	232	126
3	702	124
4	1837	124
5	2180	124
6	2613	124
7	3890	124
8	7649	124

Stop Event

1×	node limit

Counts

14 → 16

Calls

Call 1

Inputs
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J)))))
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))

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

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 83 to 60 computations (27.7% saved)

series23.0ms (0.2%)

Counts

4 → 108

Calls

30 calls:

Time	Variable		Point	Expression
7.0ms	l	@	inf	(.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))) (cos.f64 (/.f64 K 2)))
2.0ms	J	@	0	(.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))) (cos.f64 (/.f64 K 2)))
1.0ms	K	@	inf	(.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))) (cos.f64 (/.f64 K 2)))
1.0ms	K	@	0	(.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))) (cos.f64 (/.f64 K 2)))
1.0ms	J	@	inf	(.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))) (cos.f64 (/.f64 K 2)))

rewrite120.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`log-prod_binary64`
665×	`fma-def_binary64`
327×	`expm1-udef_binary64`
327×	`log1p-udef_binary64`
325×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	66
1	383	66
2	5093	66

Stop Event

1×	node limit

Counts

4 → 164

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/3 (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 l 3))) (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 l 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 l 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 l 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 l 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/3 (pow.f64 l 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 (pow.f64 l 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 l (cbrt.f64 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 1/3) (pow.f64 l 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (pow.f64 l 3) 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 l 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 l 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 l 3) 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/3 (pow.f64 l 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/3 (pow.f64 l 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 l) (log1p.f64 -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 l) (log1p.f64 -2/3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (cos.f64 (.f64 K 1/2))) (.f64 (.f64 2 (.f64 l J)) (cos.f64 (.f64 K 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 1/3 (.f64 (pow.f64 l 3) J))) (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (.f64 (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)) (cos.f64 (.f64 K 1/2))))) (cbrt.f64 (pow.f64 (exp.f64 J) (.f64 (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)) (cos.f64 (.f64 K 1/2))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (.f64 (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)) (cos.f64 (.f64 K 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (.f64 (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)) (cos.f64 (.f64 K 1/2)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (.f64 (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)) (cos.f64 (.f64 K 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 J) (.f64 (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)) (cos.f64 (.f64 K 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (.f64 K 1/2)) (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (cos.f64 (.f64 K 1/2)) (.f64 (.f64 2 (.f64 l J)) (cos.f64 (*.f64 K 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)) (cos.f64 (.f64 K 1/2))) U))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l))) 2) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l))) U)) (/.f64 (.f64 U U) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l))) U)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)) (cos.f64 (.f64 K 1/2))) U) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)) (cos.f64 (.f64 K 1/2))) U))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)) (cos.f64 (.f64 K 1/2))) U)) (pow.f64 (cbrt.f64 (fma.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (+.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 (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)) (cos.f64 (.f64 K 1/2))) U)) 2) (cbrt.f64 (fma.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)) (cos.f64 (.f64 K 1/2))) U)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)) (cos.f64 (.f64 K 1/2))) U)) (sqrt.f64 (fma.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)) (cos.f64 (.f64 K 1/2))) U)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l))) 3) (pow.f64 U 3)) (/.f64 1 (fma.f64 U (-.f64 U (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l)))) (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 l 3) (+.f64 l l))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K 1/2)) J) (fma.f64 1/3 (pow.f64 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J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 2 (.f64 l J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 l l) 4)) (.f64 (cbrt.f64 (+.f64 l l)) J) (.f64 1/3 (.f64 (pow.f64 l 3) J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 l 6) 1/9)) (.f64 (.f64 l (cbrt.f64 1/3)) J) (.f64 2 (.f64 l J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 J) 2) (.f64 (cbrt.f64 J) (.f64 1/3 (pow.f64 l 3))) (.f64 2 (.f64 l J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 J) 2) (.f64 (cbrt.f64 J) (+.f64 l l)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 l l)) (.f64 (sqrt.f64 (+.f64 l l)) J) (.f64 1/3 (.f64 (pow.f64 l 3) J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 1/3) (pow.f64 l 3/2)) (.f64 (.f64 (sqrt.f64 1/3) (pow.f64 l 3/2)) J) (.f64 2 (.f64 l J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 J) (.f64 (sqrt.f64 J) (.f64 1/3 (pow.f64 l 3))) (.f64 2 (.f64 l J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 J) (.f64 (sqrt.f64 J) (+.f64 l l)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) 1 (.f64 (.f64 2 (.f64 l J)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 l J))) (cbrt.f64 (.f64 2 (.f64 l J)))) (cbrt.f64 (.f64 2 (.f64 l J))) (.f64 1/3 (.f64 (pow.f64 l 3) J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J))) (cbrt.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)))) (cbrt.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J))) (.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))) (.f64 1/3 (.f64 (pow.f64 l 3) J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J))) (sqrt.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J))) (.f64 2 (.f64 l J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (+.f64 l l)) (sqrt.f64 J)) (.f64 (sqrt.f64 (+.f64 l l)) (sqrt.f64 J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 J) (.f64 (sqrt.f64 1/3) (pow.f64 l 3/2))) (.f64 (sqrt.f64 J) (.f64 (sqrt.f64 1/3) (pow.f64 l 3/2))) (.f64 2 (.f64 l J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 J) (sqrt.f64 (+.f64 l l))) (.f64 (sqrt.f64 J) (sqrt.f64 (+.f64 l l))) (.f64 1/3 (.f64 (pow.f64 l 3) J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (sqrt.f64 1/3) (pow.f64 l 3/2)) (sqrt.f64 J)) (.f64 (.f64 (sqrt.f64 1/3) (pow.f64 l 3/2)) (sqrt.f64 J)) (.f64 2 (.f64 l J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 l l) (pow.f64 (cbrt.f64 J) 2)) (cbrt.f64 J) (.f64 1/3 (.f64 (pow.f64 l 3) J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 l l) (sqrt.f64 J)) (sqrt.f64 J) (.f64 1/3 (.f64 (pow.f64 l 3) J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 J 1/3) (pow.f64 l 3) (.f64 2 (.f64 l J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 J (pow.f64 l 3)) 1/3 (.f64 2 (.f64 l J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 J (cbrt.f64 (.f64 (pow.f64 l 6) 1/9))) (.f64 l (cbrt.f64 1/3)) (.f64 2 (.f64 l J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 J (.f64 (sqrt.f64 1/3) (pow.f64 l 3/2))) (.f64 (sqrt.f64 1/3) (pow.f64 l 3/2)) (.f64 2 (.f64 l J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 J l) 2 (.f64 1/3 (.f64 (pow.f64 l 3) J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 J 2) l (.f64 1/3 (.f64 (pow.f64 l 3) J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 J (cbrt.f64 (.f64 (.f64 l l) 4))) (cbrt.f64 (+.f64 l l)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 J (sqrt.f64 (+.f64 l l))) (sqrt.f64 (+.f64 l l)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 1/3 (pow.f64 l 3)) (pow.f64 (cbrt.f64 J) 2)) (cbrt.f64 J) (.f64 2 (.f64 l J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 1/3 (pow.f64 l 3)) (sqrt.f64 J)) (sqrt.f64 J) (.f64 2 (*.f64 l J)))))))

simplify200.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1490×	`distribute-rgt-in_binary64`
801×	`distribute-lft-out_binary64`
423×	`fma-def_binary64`
412×	`distribute-lft-in_binary64`
299×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	2304
1	166	2220
2	514	2168
3	2489	2142
4	4581	2142
5	4910	2142
6	5017	2142
7	5172	2142
8	5336	2142
9	5537	2142

Stop Event

1×	node limit

Counts

272 → 197

Calls

Call 1

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

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

localize101.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cbrt.f64 (.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (.f64 J (.f64 2 (sinh.f64 l)))) (.f64 J (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2)))
✓	0.1b	(.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (.f64 J (.f64 2 (sinh.f64 l)))) (.f64 J (.f64 2 (sinh.f64 l))))
✓	0.2b	(.f64 (.f64 J (.f64 2 (sinh.f64 l))) (.f64 J (*.f64 2 (sinh.f64 l))))
✓	25.8b	(cbrt.f64 (.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (.f64 J (.f64 2 (sinh.f64 l)))) (.f64 J (.f64 2 (sinh.f64 l)))))

Compiler

Compiled 136 to 79 computations (41.9% saved)

series72.0ms (0.5%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
49.0ms	l	@	0	(.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (.f64 J (.f64 2 (sinh.f64 l)))) (.f64 J (.f64 2 (sinh.f64 l))))
3.0ms	J	@	-inf	(cbrt.f64 (.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (.f64 J (.f64 2 (sinh.f64 l)))) (.f64 J (.f64 2 (sinh.f64 l)))))
2.0ms	l	@	-inf	(.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (.f64 J (.f64 2 (sinh.f64 l)))) (.f64 J (.f64 2 (sinh.f64 l))))
2.0ms	l	@	inf	(.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (.f64 J (.f64 2 (sinh.f64 l)))) (.f64 J (.f64 2 (sinh.f64 l))))
2.0ms	J	@	0	(.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (.f64 J (.f64 2 (sinh.f64 l)))) (.f64 J (.f64 2 (sinh.f64 l))))

rewrite119.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`log-prod_binary64`
420×	`pow-unpow_binary64`
341×	`pow2_binary64`
242×	`pow1/3_binary64`
238×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	292	50
2	3478	50

Stop Event

1×	node limit

Counts

4 → 115

Calls

Call 1

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

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

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

884×	`fma-def_binary64`
588×	`associate-+l+_binary64`
541×	`unswap-sqr_binary64`
507×	`distribute-lft-in_binary64`
507×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	2372
1	354	2299
2	1259	2190
3	4173	2175

Stop Event

1×	node limit

Counts

223 → 168

Calls

Call 1

Inputs
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(.f64 -1/2 (.f64 (cbrt.f64 -8) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(.f64 -1/2 (.f64 (cbrt.f64 -8) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(.f64 -1/2 (.f64 (cbrt.f64 -8) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(.f64 -1/2 (.f64 (cbrt.f64 -8) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J)))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(.f64 4 (.f64 (pow.f64 l 2) (pow.f64 J 2)))
(+.f64 (.f64 4/3 (.f64 (pow.f64 l 4) (pow.f64 J 2))) (.f64 4 (.f64 (pow.f64 l 2) (pow.f64 J 2))))
(+.f64 (.f64 8/45 (.f64 (pow.f64 l 6) (pow.f64 J 2))) (+.f64 (.f64 4/3 (.f64 (pow.f64 l 4) (pow.f64 J 2))) (.f64 4 (.f64 (pow.f64 l 2) (pow.f64 J 2)))))
(+.f64 (.f64 4/315 (.f64 (pow.f64 l 8) (pow.f64 J 2))) (+.f64 (.f64 8/45 (.f64 (pow.f64 l 6) (pow.f64 J 2))) (+.f64 (.f64 4/3 (.f64 (pow.f64 l 4) (pow.f64 J 2))) (.f64 4 (.f64 (pow.f64 l 2) (pow.f64 J 2))))))
(*.f64 (pow.f64 J 2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2))
(*.f64 (pow.f64 J 2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2))
(*.f64 (pow.f64 J 2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2))
(*.f64 (pow.f64 J 2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2))
(*.f64 (pow.f64 J 2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2))
(*.f64 (pow.f64 J 2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2))
(*.f64 (pow.f64 J 2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2))
(*.f64 (pow.f64 J 2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3) (pow.f64 J 3))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3) (pow.f64 J 3))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3) (pow.f64 J 3))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3) (pow.f64 J 3))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3) (pow.f64 J 3))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3) (pow.f64 J 3))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3) (pow.f64 J 3))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3) (pow.f64 J 3))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3) (pow.f64 J 3))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3) (pow.f64 J 3))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3) (pow.f64 J 3))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.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 4 (.f64 (pow.f64 l 5) (pow.f64 J 3))))
(+.f64 (.f64 8 (.f64 (pow.f64 l 3) (pow.f64 J 3))) (+.f64 (.f64 4 (.f64 (pow.f64 l 5) (pow.f64 J 3))) (.f64 13/15 (.f64 (pow.f64 l 7) (pow.f64 J 3)))))
(+.f64 (.f64 41/378 (.f64 (pow.f64 l 9) (pow.f64 J 3))) (+.f64 (.f64 8 (.f64 (pow.f64 l 3) (pow.f64 J 3))) (+.f64 (.f64 4 (.f64 (pow.f64 l 5) (pow.f64 J 3))) (.f64 13/15 (.f64 (pow.f64 l 7) (pow.f64 J 3))))))
(*.f64 (pow.f64 J 3) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3))
(*.f64 (pow.f64 J 3) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3))
(*.f64 (pow.f64 J 3) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3))
(*.f64 (pow.f64 J 3) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3))
(*.f64 (pow.f64 J 3) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3))
(*.f64 (pow.f64 J 3) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3))
(*.f64 (pow.f64 J 3) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3))
(*.f64 (pow.f64 J 3) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 3))
(.f64 (cos.f64 (.f64 1/2 K)) (*.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 -1/2 (.f64 (cbrt.f64 -8) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 -1/2 (.f64 (cbrt.f64 -8) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 -1/2 (.f64 (cbrt.f64 -8) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(.f64 -1/2 (.f64 (cbrt.f64 -8) (.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)))))

Outputs
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(.f64 -1/2 (.f64 (cbrt.f64 -8) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(.f64 (.f64 -1/2 (cbrt.f64 -8)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (*.f64 -1/2 (cbrt.f64 -8)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (*.f64 -1/2 (cbrt.f64 -8))))
(.f64 -1/2 (.f64 (cbrt.f64 -8) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(.f64 (.f64 -1/2 (cbrt.f64 -8)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (*.f64 -1/2 (cbrt.f64 -8)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (*.f64 -1/2 (cbrt.f64 -8))))
(.f64 -1/2 (.f64 (cbrt.f64 -8) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(.f64 (.f64 -1/2 (cbrt.f64 -8)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (*.f64 -1/2 (cbrt.f64 -8)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (*.f64 -1/2 (cbrt.f64 -8))))
(.f64 -1/2 (.f64 (cbrt.f64 -8) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(.f64 (.f64 -1/2 (cbrt.f64 -8)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (*.f64 -1/2 (cbrt.f64 -8)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (*.f64 -1/2 (cbrt.f64 -8))))
(.f64 2 (.f64 l J))
(.f64 l (.f64 J 2))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 J (pow.f64 l 3))))
(.f64 J (+.f64 (.f64 l 2) (*.f64 1/3 (pow.f64 l 3))))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J))))
(fma.f64 2 (.f64 l J) (fma.f64 1/3 (.f64 J (pow.f64 l 3)) (.f64 1/60 (.f64 J (pow.f64 l 5)))))
(fma.f64 2 (.f64 l J) (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5)))))
(.f64 J (+.f64 (.f64 l 2) (fma.f64 1/3 (pow.f64 l 3) (*.f64 1/60 (pow.f64 l 5)))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J)))))
(fma.f64 2 (.f64 l J) (fma.f64 1/2520 (.f64 J (pow.f64 l 7)) (fma.f64 1/3 (.f64 J (pow.f64 l 3)) (.f64 1/60 (*.f64 J (pow.f64 l 5))))))
(fma.f64 2 (.f64 l J) (fma.f64 1/2520 (.f64 J (pow.f64 l 7)) (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/60 (pow.f64 l 5))))))
(.f64 J (+.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 1/60 (pow.f64 l 5))) (fma.f64 l 2 (*.f64 1/2520 (pow.f64 l 7)))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))
(*.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) (pow.f64 J 2))
(.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2) (.f64 J J))
(.f64 4 (.f64 (pow.f64 l 2) (pow.f64 J 2)))
(.f64 4 (.f64 (.f64 J J) (.f64 l l)))
(.f64 (.f64 J J) (.f64 4 (.f64 l l)))
(.f64 (.f64 J J) (.f64 l (.f64 l 4)))
(+.f64 (.f64 4/3 (.f64 (pow.f64 l 4) (pow.f64 J 2))) (.f64 4 (.f64 (pow.f64 l 2) (pow.f64 J 2))))
(fma.f64 4/3 (.f64 (.f64 J J) (pow.f64 l 4)) (.f64 4 (.f64 (.f64 J J) (.f64 l l))))
(.f64 (.f64 J J) (+.f64 (.f64 4 (.f64 l l)) (*.f64 4/3 (pow.f64 l 4))))
(.f64 (.f64 J J) (fma.f64 4/3 (pow.f64 l 4) (.f64 l (.f64 l 4))))
(.f64 J (.f64 J (fma.f64 4 (.f64 l l) (.f64 4/3 (pow.f64 l 4)))))
(+.f64 (.f64 8/45 (.f64 (pow.f64 l 6) (pow.f64 J 2))) (+.f64 (.f64 4/3 (.f64 (pow.f64 l 4) (pow.f64 J 2))) (.f64 4 (.f64 (pow.f64 l 2) (pow.f64 J 2)))))
(fma.f64 8/45 (.f64 (.f64 J J) (pow.f64 l 6)) (fma.f64 4/3 (.f64 (.f64 J J) (pow.f64 l 4)) (.f64 4 (.f64 (.f64 J J) (.f64 l l)))))
(fma.f64 8/45 (.f64 J (.f64 J (pow.f64 l 6))) (.f64 (.f64 J J) (+.f64 (.f64 4 (.f64 l l)) (*.f64 4/3 (pow.f64 l 4)))))
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(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(*.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 (*.f64 K -1/8) 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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (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 (-.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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (+.f64 1 (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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (pow.f64 K 4)) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (.f64 -1/46080 (pow.f64 K 6)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))))
(+.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 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 1/2 K)))

eval524.0ms (4%)

Compiler: Compiled 16336 to 10631 computations (34.9% saved)

prune230.0ms (1.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	741	11	752
Fresh	4	1	5
Picked	1	0	1
Done	4	0	4
Total	750	12	762

Error

Counts

762 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	25.4b	(+.f64 (.f64 2 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J l))) 2)) U)
	6.9b	(fma.f64 J (*.f64 2 l) U)
▶	6.7b	(+.f64 (.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2))) U)
	16.8b	U
	0.1b	(+.f64 (.f64 (.f64 (*.f64 J (sinh.f64 l)) 2) (cos.f64 (/.f64 K 2))) U)
	0.7b	(+.f64 (.f64 2 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l))) U)
▶	0.7b	(fma.f64 (.f64 (.f64 l 2) J) (cos.f64 (*.f64 1/2 K)) U)
	0.7b	(+.f64 (.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2))) U)
▶	6.5b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
▶	6.9b	(+.f64 (.f64 (.f64 2 l) J) U)
	0.4b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 2 (*.f64 (sinh.f64 l) J))) 3) (cos.f64 (/.f64 K 2))) U)
▶	0.0b	(fma.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))) U)

Compiler

Compiled 341 to 256 computations (24.9% saved)

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 41 to 25 computations (39% saved)

series10.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`log-prod_binary64`
354×	`pow-prod-down_binary64`
338×	`pow2_binary64`
237×	`pow1/3_binary64`
237×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	261	29
2	3023	29

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

603×	`fma-def_binary64`
586×	`unsub-neg_binary64`
453×	`distribute-rgt-in_binary64`
446×	`distribute-lft-in_binary64`
398×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	1733
1	259	1657
2	811	1556
3	3721	1519
4	7081	1519

Stop Event

1×	node limit

Counts

127 → 92

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 1/2 K)) l)
(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3))) (.f64 (cos.f64 (*.f64 1/2 K)) l))
(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3))) (+.f64 (.f64 1/120 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 5))) (.f64 (cos.f64 (.f64 1/2 K)) l)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3))) (+.f64 (.f64 1/120 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 5))) (+.f64 (.f64 1/5040 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 7))) (.f64 (cos.f64 (*.f64 1/2 K)) l))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 -1/16 (*.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/768 (*.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(+.f64 (.f64 -1/92160 (.f64 (pow.f64 K 6) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (+.f64 (.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/768 (*.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
U
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
U
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J))) U))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 5) J))) (+.f64 (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J))) U)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))) U))
(+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))) U)))
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(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)) U)
(+.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 (cos.f64 (.f64 1/2 K)) l)
(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3))) (.f64 (cos.f64 (*.f64 1/2 K)) l))
(fma.f64 1/6 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3)) (.f64 (cos.f64 (.f64 1/2 K)) l))
(fma.f64 (cos.f64 (.f64 1/2 K)) l (.f64 (.f64 1/6 (pow.f64 l 3)) (cos.f64 (.f64 1/2 K))))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l (*.f64 1/6 (pow.f64 l 3))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3))) (+.f64 (.f64 1/120 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 5))) (.f64 (cos.f64 (.f64 1/2 K)) l)))
(fma.f64 1/6 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3)) (fma.f64 1/120 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 5)) (.f64 (cos.f64 (.f64 1/2 K)) l)))
(fma.f64 1/6 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3)) (fma.f64 (cos.f64 (.f64 1/2 K)) l (.f64 1/120 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 5)))))
(fma.f64 (cos.f64 (.f64 1/2 K)) l (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/120 (pow.f64 l 5)) (*.f64 1/6 (pow.f64 l 3)))))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (+.f64 l (.f64 1/6 (pow.f64 l 3))) (.f64 1/120 (pow.f64 l 5))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3))) (+.f64 (.f64 1/120 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 5))) (+.f64 (.f64 1/5040 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 7))) (.f64 (cos.f64 (*.f64 1/2 K)) l))))
(fma.f64 1/6 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3)) (fma.f64 1/120 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 5)) (fma.f64 1/5040 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 7)) (.f64 (cos.f64 (.f64 1/2 K)) l))))
(fma.f64 1/6 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3)) (fma.f64 1/120 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 5)) (fma.f64 (cos.f64 (.f64 1/2 K)) l (.f64 1/5040 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 7))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 l (.f64 1/5040 (pow.f64 l 7)))) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/120 (pow.f64 l 5)) (*.f64 1/6 (pow.f64 l 3)))))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (+.f64 l (.f64 1/6 (pow.f64 l 3))) (+.f64 (.f64 1/120 (pow.f64 l 5)) (*.f64 1/5040 (pow.f64 l 7)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/2 (exp.f64 l) (/.f64 -1/2 (exp.f64 l))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/2 (exp.f64 l) (/.f64 -1/2 (exp.f64 l))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/2 (exp.f64 l) (/.f64 -1/2 (exp.f64 l))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/2 (exp.f64 l) (/.f64 -1/2 (exp.f64 l))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/2 (exp.f64 l) (/.f64 -1/2 (exp.f64 l))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/2 (exp.f64 l) (/.f64 -1/2 (exp.f64 l))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/2 (exp.f64 l) (/.f64 -1/2 (exp.f64 l))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (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 (.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 -1/16 (*.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(fma.f64 1/2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 -1/16 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 K K))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 1/2 (.f64 -1/16 (*.f64 K K))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 -1/16 (.f64 K K) 1/2))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/768 (*.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(fma.f64 1/2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 -1/16 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 K K)) (.f64 (.f64 1/768 (pow.f64 K 4)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(fma.f64 1/2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 (.f64 -1/16 (.f64 K K)) (.f64 1/768 (pow.f64 K 4)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 1/2 (fma.f64 1/768 (pow.f64 K 4) (.f64 K (*.f64 K -1/16)))))
(+.f64 (.f64 -1/92160 (.f64 (pow.f64 K 6) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (+.f64 (.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/768 (*.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))))
(fma.f64 -1/92160 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (pow.f64 K 6)) (fma.f64 1/2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 -1/16 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 K K)) (.f64 (*.f64 1/768 (pow.f64 K 4)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(+.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 (.f64 -1/16 (.f64 K K)) (.f64 1/768 (pow.f64 K 4)))) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 (.f64 -1/92160 (pow.f64 K 6)) 1/2)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 (fma.f64 1/768 (pow.f64 K 4) (.f64 K (*.f64 K -1/16))) (fma.f64 -1/92160 (pow.f64 K 6) 1/2)))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/2 (exp.f64 l) (/.f64 -1/2 (exp.f64 l))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/2 (exp.f64 l) (/.f64 -1/2 (exp.f64 l))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
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(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) J U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) J U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) J U)
U
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) J U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) J U)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) U)
(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) J U)

localize10.0ms (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)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite52.0ms (0.4%)

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)))))))

simplify13.0ms (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)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 15 computations (46.4% saved)

series6.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

484×	`log-prod_binary64`
359×	`exp-prod_binary64`
351×	`prod-exp_binary64`
309×	`pow-prod-down_binary64`
289×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	195	19
2	2576	19

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

Outputs

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

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

simplify115.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

837×	`fma-def_binary64`
754×	`fma-neg_binary64`
692×	`unswap-sqr_binary64`
340×	`associate-*l/_binary64`
288×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	809
1	111	806
2	282	789
3	836	784
4	2106	784
5	2380	784
6	2732	784
7	3555	784
8	5128	784
9	7442	784

Stop Event

1×	node limit

Counts

160 → 120

Calls

Call 1

Inputs
U
(+.f64 (.f64 2 (.f64 l J)) U)
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) U))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (+.f64 (.f64 1/60 (.f64 (pow.f64 l 5) J)) U)))
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
U
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) U)
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
U
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
U
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J)))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)

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

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 48 to 25 computations (47.9% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	233	40
2	2949	40

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

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

Outputs

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

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

simplify236.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

750×	`sqr-pow_binary64`
711×	`fma-def_binary64`
676×	`pow-sqr_binary64`
664×	`cube-prod_binary64`
576×	`fabs-mul_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	1000
1	64	900
2	148	900
3	371	900
4	1000	900
5	1610	900
6	2186	900
7	2418	900
8	2718	900
9	3000	900
10	3271	900
11	3605	900
12	4012	900
13	4541	900
14	5201	900
15	6029	900
16	6432	900
17	6800	900
18	7138	900
19	7388	900
20	7616	900

Stop Event

1×	node limit

Counts

201 → 145

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 36 to 23 computations (36.1% saved)

series8.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	K	@	inf	(fma.f64 (.f64 (.f64 l 2) J) (cos.f64 (*.f64 1/2 K)) U)
1.0ms	K	@	-inf	(fma.f64 (.f64 (.f64 l 2) J) (cos.f64 (*.f64 1/2 K)) U)
1.0ms	l	@	0	(fma.f64 (.f64 (.f64 l 2) J) (cos.f64 (*.f64 1/2 K)) U)
0.0ms	J	@	0	(fma.f64 (.f64 (.f64 l 2) J) (cos.f64 (*.f64 1/2 K)) U)
0.0ms	K	@	0	(fma.f64 (.f64 (.f64 l 2) J) (cos.f64 (*.f64 1/2 K)) U)

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify189.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

84 → 49

Calls

Call 1

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

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

eval345.0ms (2.6%)

Compiler: Compiled 8747 to 5087 computations (41.8% saved)

prune91.0ms (0.7%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	514	7	521
Fresh	3	4	7
Picked	0	1	1
Done	1	3	4
Total	518	15	533

Error

Counts

533 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	6.9b	(fma.f64 (*.f64 2 l) J U)
	25.4b	(+.f64 (.f64 2 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J l))) 2)) U)
▶	0.1b	(+.f64 (.f64 (.f64 (+.f64 J J) (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))) U)
	0.7b	(+.f64 (.f64 2 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l))) U)
	6.7b	(+.f64 (.f64 J (+.f64 (.f64 (.f64 1/3 (.f64 l l)) l) (*.f64 2 l))) U)
✓	0.7b	(fma.f64 (.f64 (.f64 l 2) J) (cos.f64 (*.f64 1/2 K)) U)
▶	0.7b	(+.f64 (.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2))) U)
▶	52.3b	(.f64 2 (.f64 l J))
▶	46.5b	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
	16.8b	U
✓	6.5b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
▶	6.7b	(+.f64 (+.f64 (.f64 (.f64 l J) (.f64 1/3 (.f64 l l))) (.f64 (.f64 l J) 2)) U)
✓	6.9b	(+.f64 (.f64 (.f64 2 l) J) U)
	0.4b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 2 (*.f64 (sinh.f64 l) J))) 3) (cos.f64 (/.f64 K 2))) U)
✓	0.0b	(fma.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))) U)

Compiler

Compiled 381 to 280 computations (26.5% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 51 to 22 computations (56.9% saved)

series8.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite113.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`log-prod_binary64`
378×	`fma-def_binary64`
364×	`pow2_binary64`
262×	`pow-unpow_binary64`
252×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	281	44
2	3885	29

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Outputs

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

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

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

826×	`fma-def_binary64`
341×	`associate-l_binary64`
322×	`distribute-lft-neg-out_binary64`
321×	`distribute-rgt-out_binary64`
307×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	2393
1	269	2310
2	817	2195
3	3509	2140
4	5773	2140

Stop Event

1×	node limit

Counts

254 → 191

Calls

Call 1

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

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

localize8.0ms (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)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite41.0ms (0.3%)

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))))))))

simplify6.0ms (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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 l J) (.f64 1/3 (.f64 l l))) (.f64 (.f64 l J) 2))
✓	0.0b	(.f64 (.f64 l J) 2)
✓	0.2b	(.f64 1/3 (.f64 l l))
✓	1.2b	(.f64 (.f64 l J) (.f64 1/3 (.f64 l l)))

Compiler

Compiled 66 to 28 computations (57.6% saved)

series8.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	J	@	0	(.f64 (.f64 l J) (.f64 1/3 (.f64 l l)))
1.0ms	J	@	inf	(.f64 (.f64 l J) (.f64 1/3 (.f64 l l)))
1.0ms	l	@	0	(.f64 (.f64 l J) (.f64 1/3 (.f64 l l)))
1.0ms	l	@	inf	(.f64 (.f64 l J) (.f64 1/3 (.f64 l l)))
0.0ms	l	@	inf	(.f64 1/3 (.f64 l l))

rewrite105.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

658×	`log-prod_binary64`
583×	`fma-def_binary64`
457×	`pow-prod-down_binary64`
303×	`pow2_binary64`
286×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	241	41
2	3222	41

Stop Event

1×	node limit

Counts

4 → 144

Calls

Call 1

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

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

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

623×	`cancel-sign-sub-inv_binary64`
450×	`associate-l_binary64`
450×	`distribute-rgt-neg-in_binary64`
449×	`distribute-lft-neg-in_binary64`
389×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	876
1	61	813
2	161	813
3	548	813
4	2057	813
5	3832	813
6	6794	813

Stop Event

1×	node limit

Counts

228 → 153

Calls

Call 1

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

Outputs
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(*.f64 1/3 (pow.f64 l 2))
(.f64 1/3 (.f64 l l))
(*.f64 1/3 (pow.f64 l 2))
(.f64 1/3 (.f64 l l))
(*.f64 1/3 (pow.f64 l 2))
(.f64 1/3 (.f64 l l))
(*.f64 1/3 (pow.f64 l 2))
(.f64 1/3 (.f64 l l))
(*.f64 1/3 (pow.f64 l 2))
(.f64 1/3 (.f64 l l))
(*.f64 1/3 (pow.f64 l 2))
(.f64 1/3 (.f64 l l))
(*.f64 1/3 (pow.f64 l 2))
(.f64 1/3 (.f64 l l))
(*.f64 1/3 (pow.f64 l 2))
(.f64 1/3 (.f64 l l))
(*.f64 1/3 (pow.f64 l 2))
(.f64 1/3 (.f64 l l))
(*.f64 1/3 (pow.f64 l 2))
(.f64 1/3 (.f64 l l))
(*.f64 1/3 (pow.f64 l 2))
(.f64 1/3 (.f64 l l))
(*.f64 1/3 (pow.f64 l 2))
(.f64 1/3 (.f64 l l))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l 2) J)
(.f64 J (.f64 l 2))
(.f64 l (.f64 J 2))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 1/3 (.f64 (pow.f64 l 3) J))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)) J)
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)) J)
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)) J)
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)) J)
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)) J)
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)) J)
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)) J)
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)) J)
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 -1 (.f64 (+.f64 (.f64 -1/3 (pow.f64 l 3)) (.f64 -2 l)) J))
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 -1 (.f64 (+.f64 (.f64 -1/3 (pow.f64 l 3)) (.f64 -2 l)) J))
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 -1 (.f64 (+.f64 (.f64 -1/3 (pow.f64 l 3)) (.f64 -2 l)) J))
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 -1 (.f64 (+.f64 (.f64 -1/3 (pow.f64 l 3)) (.f64 -2 l)) J))
(fma.f64 2 (.f64 l J) (.f64 1/3 (*.f64 (pow.f64 l 3) J)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(.f64 l (.f64 (fma.f64 1/3 (*.f64 l l) 2) J))
(.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2)))
(.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2)))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 20 computations (41.2% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`log-prod_binary64`
427×	`exp-prod_binary64`
367×	`prod-exp_binary64`
331×	`pow-prod-down_binary64`
279×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	222	15
2	2568	15

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify135.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1774×	`fma-def_binary64`
822×	`unswap-sqr_binary64`
461×	`sqr-pow_binary64`
360×	`*-commutative_binary64`
355×	`pow-sqr_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	32	586
1	88	572
2	277	556
3	1101	552
4	2587	552
5	3075	552
6	3196	552
7	3322	552
8	3456	552
9	3631	550
10	4690	550
11	6391	550
12	6954	550
13	7612	550

Stop Event

1×	node limit

Counts

68 → 42

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 46 to 30 computations (34.8% saved)

series6.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

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

simplify269.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

169 → 106

Calls

Call 1

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

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

eval199.0ms (1.5%)

Compiler: Compiled 10280 to 6122 computations (40.4% saved)

prune153.0ms (1.2%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	548	4	552
Fresh	1	5	6
Picked	0	1	1
Done	0	8	8
Total	549	18	567

Error

Counts

567 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	6.9b	(fma.f64 (*.f64 2 l) J U)
	25.4b	(+.f64 (.f64 2 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J l))) 2)) U)
	6.7b	(+.f64 (+.f64 (+.f64 0 (.f64 (.f64 l 1/3) (.f64 l (.f64 l J)))) (.f64 (.f64 l J) 2)) U)
✓	0.1b	(+.f64 (.f64 (.f64 (+.f64 J J) (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))) U)
	56.2b	(-.f64 (+.f64 1 (.f64 2 (.f64 l J))) 1)
✓	6.7b	(+.f64 (+.f64 (.f64 (.f64 l J) (.f64 1/3 (.f64 l l))) (.f64 (.f64 l J) 2)) U)
	46.8b	(.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 (cbrt.f64 (.f64 2 (.f64 l J))) 3))
	0.7b	(+.f64 (.f64 2 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l))) U)
	6.7b	(+.f64 (.f64 J (+.f64 (.f64 (.f64 1/3 (.f64 l l)) l) (*.f64 2 l))) U)
✓	0.7b	(fma.f64 (.f64 (.f64 l 2) J) (cos.f64 (*.f64 1/2 K)) U)
✓	0.7b	(+.f64 (.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2))) U)
✓	52.3b	(.f64 2 (.f64 l J))
✓	46.5b	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
	46.5b	(.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2)))))
	16.8b	U
✓	6.5b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
✓	6.9b	(+.f64 (.f64 (.f64 2 l) J) U)
✓	0.0b	(fma.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))) U)

Compiler

Compiled 267 to 197 computations (26.2% saved)

regimes344.0ms (2.6%)

Counts

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

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

Calls

15 calls:

48.0ms	(/.f64 K 2)
43.0ms	K
37.0ms	U
37.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
35.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

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

Compiler

Compiled 577 to 379 computations (34.3% saved)

regimes152.0ms (1.2%)

Counts

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

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

Calls

10 calls:

41.0ms	(cos.f64 (/.f64 K 2))
14.0ms	(/.f64 K 2)
14.0ms	(/.f64 K 2)
13.0ms	U
13.0ms	l

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	`(cos.f64 (/.f64 K 2))`
0.1b	1	`(/.f64 K 2)`
0.1b	1	`(/.f64 K 2)`

Compiler

Compiled 315 to 204 computations (35.2% saved)

regimes150.0ms (1.1%)

Counts

20 → 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 J (+.f64 (.f64 (.f64 1/3 (.f64 l l)) l) (*.f64 2 l))) U)
(+.f64 (+.f64 (.f64 (.f64 l J) (.f64 1/3 (.f64 l l))) (.f64 (.f64 l J) 2)) U)
(+.f64 (+.f64 (+.f64 0 (.f64 (.f64 l 1/3) (.f64 l (.f64 l J)))) (.f64 (.f64 l J) 2)) U)
(fma.f64 (*.f64 2 l) J U)
(fma.f64 J (*.f64 2 l) U)
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
(.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2)))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(+.f64 (.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2))) U)
(+.f64 (.f64 2 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l))) U)
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(+.f64 (.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2))) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (.f64 l 2) J) (cos.f64 (*.f64 1/2 K)) U)

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

Calls

10 calls:

25.0ms	J
23.0ms	U
21.0ms	l
21.0ms	K
12.0ms	(/.f64 K 2)

Results

Error	Segments	Branch
0.7b	1	`J`
0.7b	1	`l`
0.7b	1	`K`
0.7b	1	`U`
0.7b	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0.7b	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0.7b	1	`(cos.f64 (/.f64 K 2))`
0.7b	1	`(cos.f64 (/.f64 K 2))`
0.7b	1	`(/.f64 K 2)`
0.7b	1	`(/.f64 K 2)`

Compiler

Compiled 258 to 168 computations (34.9% saved)

regimes109.0ms (0.8%)

Counts

15 → 3

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 J (+.f64 (.f64 (.f64 1/3 (.f64 l l)) l) (*.f64 2 l))) U)
(+.f64 (+.f64 (.f64 (.f64 l J) (.f64 1/3 (.f64 l l))) (.f64 (.f64 l J) 2)) U)
(+.f64 (+.f64 (+.f64 0 (.f64 (.f64 l 1/3) (.f64 l (.f64 l J)))) (.f64 (.f64 l J) 2)) U)
(fma.f64 (*.f64 2 l) J U)
(fma.f64 J (*.f64 2 l) U)
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
(.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2)))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(+.f64 (.f64 J (.f64 l (fma.f64 1/3 (*.f64 l l) 2))) U)

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

Calls

4 calls:

49.0ms	J
17.0ms	U
17.0ms	K
17.0ms	l

Results

Error	Segments	Branch
5.4b	3	`J`
6.5b	1	`l`
6.5b	1	`K`
6.5b	1	`U`

Compiler

Compiled 151 to 89 computations (41.1% saved)

bsearch371.0ms (2.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
232.0ms	2.532952835702173e+140	1.7836297205473105e+142
139.0ms	2.2391028067941813e+111	2.1804452492707503e+112

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes140.0ms (1.1%)

Counts

13 → 3

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 J (+.f64 (.f64 (.f64 1/3 (.f64 l l)) l) (*.f64 2 l))) U)
(+.f64 (+.f64 (.f64 (.f64 l J) (.f64 1/3 (.f64 l l))) (.f64 (.f64 l J) 2)) U)
(+.f64 (+.f64 (+.f64 0 (.f64 (.f64 l 1/3) (.f64 l (.f64 l J)))) (.f64 (.f64 l J) 2)) U)
(fma.f64 (*.f64 2 l) J U)
(fma.f64 J (*.f64 2 l) U)
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
(.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2)))))

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

Calls

4 calls:

84.0ms	J
17.0ms	U
17.0ms	l
15.0ms	K

Results

Error	Segments	Branch
5.4b	3	`J`
6.5b	1	`l`
6.5b	1	`K`
6.5b	1	`U`

Compiler

Compiled 129 to 77 computations (40.3% saved)

bsearch223.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
86.0ms	2.532952835702173e+140	1.7836297205473105e+142
136.0ms	2.2391028067941813e+111	2.1804452492707503e+112

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes74.0ms (0.6%)

Counts

12 → 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 J (+.f64 (.f64 (.f64 1/3 (.f64 l l)) l) (*.f64 2 l))) U)
(+.f64 (+.f64 (.f64 (.f64 l J) (.f64 1/3 (.f64 l l))) (.f64 (.f64 l J) 2)) U)
(+.f64 (+.f64 (+.f64 0 (.f64 (.f64 l 1/3) (.f64 l (.f64 l J)))) (.f64 (.f64 l J) 2)) U)
(fma.f64 (*.f64 2 l) J U)
(fma.f64 J (*.f64 2 l) U)
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)

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

Calls

4 calls:

45.0ms	U
11.0ms	J
7.0ms	K
7.0ms	l

Results

Error	Segments	Branch
6.5b	1	`J`
6.5b	1	`l`
6.5b	1	`K`
6.5b	1	`U`

Compiler

Compiled 119 to 70 computations (41.2% saved)

regimes33.0ms (0.2%)

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 J (+.f64 (.f64 (.f64 1/3 (.f64 l l)) l) (*.f64 2 l))) U)
(+.f64 (+.f64 (.f64 (.f64 l J) (.f64 1/3 (.f64 l l))) (.f64 (.f64 l J) 2)) U)
(+.f64 (+.f64 (+.f64 0 (.f64 (.f64 l 1/3) (.f64 l (.f64 l J)))) (.f64 (.f64 l J) 2)) U)
(fma.f64 (*.f64 2 l) J U)
(fma.f64 J (*.f64 2 l) U)

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

Calls

4 calls:

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

Results

Error	Segments	Branch
6.7b	1	`J`
6.7b	1	`l`
6.7b	1	`K`
6.7b	1	`U`

Compiler

Compiled 111 to 65 computations (41.4% saved)

regimes46.0ms (0.3%)

Counts

6 → 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)

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

Calls

4 calls:

28.0ms	U
6.0ms	J
5.0ms	K
5.0ms	l

Results

Error	Segments	Branch
6.9b	1	`J`
6.9b	1	`l`
6.9b	1	`K`
6.9b	1	`U`

Compiler

Compiled 48 to 33 computations (31.3% saved)

regimes41.0ms (0.3%)

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:

15.0ms	U
13.0ms	K
8.0ms	J
4.0ms	l

Results

Error	Segments	Branch
15.8b	2	`J`
16.8b	1	`l`
15.0b	3	`K`
14.6b	3	`U`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch221.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
107.0ms	3.859746936840123e-262	3.676558657053923e-253
114.0ms	-3.6946638497656255e-264	-6.761671798632982e-270

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes17.0ms (0.1%)

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:

5.0ms	l
4.0ms	K
4.0ms	U
4.0ms	J

Results

Error	Segments	Branch
16.8b	1	`J`
16.8b	1	`l`
16.8b	1	`K`
16.8b	1	`U`

Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
6×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	244
1	85	244

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 (.f64 (+.f64 J J) (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 2 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l))) U)
(if (<=.f64 J 2239102806794181331144425492945769951937015414944103274824656930371341074800213570835649951687109839946298425344) (+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U) (if (<=.f64 J 253295283570217310753076612900069959024876586131570816263456334039886613762805200148971801558221119728779036454973526712974819727570538332160) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J))) (+.f64 (.f64 J (+.f64 (.f64 (.f64 1/3 (.f64 l l)) l) (*.f64 2 l))) U)))
(if (<=.f64 J 2239102806794181331144425492945769951937015414944103274824656930371341074800213570835649951687109839946298425344) (+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U) (if (<=.f64 J 253295283570217310753076612900069959024876586131570816263456334039886613762805200148971801558221119728779036454973526712974819727570538332160) (.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2))))) (+.f64 (.f64 J (+.f64 (.f64 (.f64 1/3 (.f64 l l)) l) (*.f64 2 l))) U)))
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
(+.f64 (.f64 J (+.f64 (.f64 (.f64 1/3 (.f64 l l)) l) (*.f64 2 l))) U)
(+.f64 (.f64 (.f64 2 l) J) U)
(if (<=.f64 U -8383220849217384/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) U (if (<=.f64 U 875779565052275456/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (.f64 2 (.f64 l J)) U))
U

Outputs
(fma.f64 (.f64 J 2) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 (.f64 (.f64 (+.f64 J J) (sinh.f64 l)) (cos.f64 (*.f64 K 1/2))) U)
(+.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 (sinh.f64 l) (+.f64 J J))))
(+.f64 (.f64 2 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l))) U)
(+.f64 U (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 K 1/2))))))
(if (<=.f64 J 2239102806794181331144425492945769951937015414944103274824656930371341074800213570835649951687109839946298425344) (+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U) (if (<=.f64 J 253295283570217310753076612900069959024876586131570816263456334039886613762805200148971801558221119728779036454973526712974819727570538332160) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J))) (+.f64 (.f64 J (+.f64 (.f64 (.f64 1/3 (.f64 l l)) l) (*.f64 2 l))) U)))
(if (<=.f64 J 2239102806794181331144425492945769951937015414944103274824656930371341074800213570835649951687109839946298425344) (+.f64 U (.f64 J (.f64 2 (sinh.f64 l)))) (if (<=.f64 J 253295283570217310753076612900069959024876586131570816263456334039886613762805200148971801558221119728779036454973526712974819727570538332160) (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 J l))) (+.f64 U (.f64 J (+.f64 (.f64 l (.f64 1/3 (.f64 l l))) (*.f64 2 l))))))
(if (<=.f64 J 2239102806794181331144425492945769951937015414944103274824656930371341074800213570835649951687109839946298425344) (+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U) (if (<=.f64 J 253295283570217310753076612900069959024876586131570816263456334039886613762805200148971801558221119728779036454973526712974819727570538332160) (.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2))))) (+.f64 (.f64 J (+.f64 (.f64 (.f64 1/3 (.f64 l l)) l) (*.f64 2 l))) U)))
(if (<=.f64 J 2239102806794181331144425492945769951937015414944103274824656930371341074800213570835649951687109839946298425344) (+.f64 U (.f64 J (.f64 2 (sinh.f64 l)))) (if (<=.f64 J 253295283570217310753076612900069959024876586131570816263456334039886613762805200148971801558221119728779036454973526712974819727570538332160) (.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2))))) (+.f64 U (.f64 J (+.f64 (.f64 l (.f64 1/3 (.f64 l l))) (*.f64 2 l))))))
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
(+.f64 U (.f64 J (.f64 2 (sinh.f64 l))))
(+.f64 (.f64 J (+.f64 (.f64 (.f64 1/3 (.f64 l l)) l) (*.f64 2 l))) U)
(+.f64 U (.f64 J (+.f64 (.f64 l (.f64 1/3 (.f64 l l))) (*.f64 2 l))))
(+.f64 (.f64 (.f64 2 l) J) U)
(+.f64 U (.f64 J (.f64 2 l)))
(if (<=.f64 U -8383220849217384/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) U (if (<=.f64 U 875779565052275456/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (.f64 2 (.f64 l J)) U))
(if (<=.f64 U -1047902606152173/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432) U (if (<=.f64 U 3421013925985451/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576) (.f64 2 (.f64 J l)) U))
U

Compiler

Compiled 205 to 145 computations (29.3% saved)

soundness0.0ms (0%)

end97.0ms (0.7%)

Compiler: Compiled 169 to 102 computations (39.6% saved)