Details

analyze442.0ms (4.3%)

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)

sample4.5s (43.2%)

Results

1.1s	1695×	body	1024	valid
964.0ms	2075×	body	1024	invalid
933.0ms	5233×	body	256	valid
629.0ms	3604×	body	256	invalid
432.0ms	1255×	body	512	valid
347.0ms	1076×	body	512	invalid
72.0ms	73×	body	2048	valid

preprocess74.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify77.0ms (0.7%)

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

19.9b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.9b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
✓	0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
✓	6.1b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 65 to 24 computations (63.1% saved)

series14.0ms (0.1%)

Counts

3 → 68

Calls

18 calls:

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

rewrite149.0ms (1.4%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	277	18
2	4319	18
0	6	6
1	130	6
2	2188	6
0	6	6
0	13	17
1	277	17
2	4318	17
0	13	17
0	8	9
1	169	9
2	2769	9
0	8	9

Stop Event

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

Counts

3 → 25

Calls

Call 1

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

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

Outputs

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

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

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

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

93 → 60

Calls

Call 1

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

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

eval24.0ms (0.2%)

Compiler: Compiled 1282 to 788 computations (38.5% saved)

prune18.0ms (0.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	8	61

Error

0.0b

Counts

61 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(+.f64 (.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2))) U)
▶	0.2b	(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
▶	0.0b	(+.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 1) U)
	10.1b	(+.f64 (.f64 (.f64 J (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 2 (sinh.f64 l))) (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2))) U)
	0.1b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
▶	31.3b	(+.f64 (.f64 (.f64 J (.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2))) U)
▶	0.5b	(+.f64 (.f64 (.f64 J (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2))) U)
▶	20.1b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)

Compiler

Compiled 328 to 244 computations (25.6% saved)

localize31.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	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)

series26.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	J	@	0	(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))
4.0ms	l	@	inf	(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))
2.0ms	l	@	0	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2)))
2.0ms	l	@	inf	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2)))
2.0ms	l	@	0	(sinh.f64 l)

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`log-prod_binary64`
375×	`pow-prod-down_binary64`
312×	`pow2_binary64`
240×	`pow-unpow_binary64`
222×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	245	34
2	2901	34

Stop Event

1×	node limit

Counts

3 → 75

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)

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

Outputs

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

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

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

simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

786×	`fma-def_binary64`
616×	`fma-neg_binary64`
459×	`associate-l_binary64`
397×	`distribute-rgt-in_binary64`
393×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	1680
1	288	1612
2	919	1501
3	4131	1436
4	7508	1436

Stop Event

1×	node limit

Counts

147 → 118

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))))

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

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	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)

series14.0ms (0.1%)

Counts

3 → 76

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	K	@	0	(.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	l	@	inf	(.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))

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

Inputs
(.f64 (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)))

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

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

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

simplify166.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

796×	`unswap-sqr_binary64`
651×	`*-commutative_binary64`
522×	`distribute-lft-out_binary64`
478×	`fma-def_binary64`
456×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	1128
1	149	1108
2	496	1073
3	1986	1066
4	3094	1066
5	3706	1066
6	3962	1066
7	4566	1066
8	5240	1066
9	5548	1066
10	5924	1066
11	7575	1066

Stop Event

1×	node limit

Counts

165 → 116

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)))

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
	6.1b	(-.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	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	@	0	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)

rewrite35.0ms (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)))))))

simplify71.0ms (0.7%)

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))))

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 89 to 56 computations (37.1% saved)

series14.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

775×	`fma-def_binary64`
700×	`distribute-rgt-in_binary64`
699×	`distribute-lft-in_binary64`
407×	`*-commutative_binary64`
279×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	101	2338
1	301	1606
2	1124	1330
3	3568	1330

Stop Event

1×	node limit

Counts

155 → 119

Calls

Call 1

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

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

localize49.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 124 to 79 computations (36.3% saved)

series47.0ms (0.5%)

Counts

4 → 64

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	l	@	0	(cbrt.f64 (*.f64 2 (sinh.f64 l)))
5.0ms	l	@	-inf	(.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))
4.0ms	J	@	0	(.f64 (.f64 J (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2)))
4.0ms	l	@	inf	(cbrt.f64 (*.f64 2 (sinh.f64 l)))
4.0ms	K	@	inf	(.f64 (.f64 J (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2)))

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`log-prod_binary64`
467×	`pow-prod-down_binary64`
334×	`pow2_binary64`
322×	`pow-unpow_binary64`
239×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	287	42
2	3351	42

Stop Event

1×	node limit

Counts

4 → 109

Calls

Call 1

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

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

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

555×	`fma-def_binary64`
454×	`associate-l_binary64`
436×	`unsub-neg_binary64`
386×	`associate-r_binary64`
385×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1478
1	250	1434
2	761	1391
3	3434	1345
4	7165	1345

Stop Event

1×	node limit

Counts

173 → 141

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2)) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2)) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2)) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2)) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2)) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
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(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.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))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.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))) (.f64 (cos.f64 (*.f64 1/2 K)) J))

eval364.0ms (3.5%)

Compiler: Compiled 15521 to 10288 computations (33.7% saved)

prune125.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	673	9	682
Fresh	2	1	3
Picked	1	0	1
Done	4	0	4
Total	680	10	690

Error

Counts

690 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	32.8b	(+.f64 (pow.f64 (.f64 J (pow.f64 (sqrt.f64 (.f64 (sinh.f64 l) (.f64 2 (cos.f64 (.f64 K 1/2))))) 2)) 1) U)
	37.7b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (.f64 2 (sinh.f64 l)))) J) U)
	10.5b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
▶	10.6b	(+.f64 (.f64 (.f64 2 l) J) U)
▶	0.2b	(+.f64 (.f64 2 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l))) U)
▶	0.2b	(+.f64 (.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2))) U)
	26.3b	(+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 J 2) (sinh.f64 l))) 2) (cos.f64 (/.f64 K 2))) U)
▶	0.4b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (*.f64 J 2) (sinh.f64 l))) 3) (cos.f64 (/.f64 K 2))) U)
	31.5b	(+.f64 (.f64 2 (.f64 l (pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J)) 2))) U)
▶	0.6b	(+.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 l 2))) 3) U)

Compiler

Compiled 348 to 270 computations (22.4% saved)

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 53 to 35 computations (34% saved)

series8.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs

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

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

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

simplify168.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

796×	`unswap-sqr_binary64`
667×	`*-commutative_binary64`
580×	`distribute-lft-out_binary64`
469×	`fma-def_binary64`
433×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	1312
1	148	1288
2	489	1255
3	1998	1250
4	3234	1250
5	3834	1250
6	4090	1250
7	4694	1250
8	5368	1250
9	5676	1250
10	6059	1250
11	7709	1250

Stop Event

1×	node limit

Counts

185 → 117

Calls

Call 1

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

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

localize8.0ms (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)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	U	@	-inf	(+.f64 (.f64 (.f64 2 l) J) U)
1.0ms	l	@	inf	(+.f64 (.f64 (.f64 2 l) J) U)
1.0ms	J	@	inf	(+.f64 (.f64 (.f64 2 l) J) U)
0.0ms	l	@	0	(+.f64 (.f64 (.f64 2 l) J) U)
0.0ms	U	@	0	(+.f64 (.f64 (.f64 2 l) J) U)

rewrite54.0ms (0.5%)

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)

localize22.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 46 to 30 computations (34.8% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 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 2 l) J) (cos.f64 (/.f64 K 2)))
0.0ms	l	@	-inf	(.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2)))
0.0ms	K	@	inf	(.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2)))
0.0ms	J	@	inf	(.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2)))

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`log-prod_binary64`
398×	`exp-prod_binary64`
393×	`prod-exp_binary64`
348×	`pow-prod-down_binary64`
268×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	209	15
2	2554	15

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify136.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1774×	`fma-def_binary64`
816×	`unswap-sqr_binary64`
461×	`sqr-pow_binary64`
365×	`*-commutative_binary64`
356×	`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	2593	552
5	3085	552
6	3206	552
7	3332	552
8	3466	552
9	3641	550
10	4700	550
11	6389	550
12	6951	550
13	7610	550

Stop Event

1×	node limit

Counts

68 → 41

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)))

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

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 l 2))
	0.2b	(.f64 (cos.f64 (.f64 1/2 K)) J)
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 l 2))) 3)
✓	14.1b	(cbrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 l 2)))

Compiler

Compiled 76 to 54 computations (28.9% saved)

series30.0ms (0.3%)

Counts

3 → 60

Calls

27 calls:

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

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`log-prod_binary64`
414×	`pow-prod-down_binary64`
319×	`pow2_binary64`
263×	`pow-unpow_binary64`
224×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	47
1	290	47
2	3087	47

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

Outputs

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

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

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

simplify96.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

717×	`fma-neg_binary64`
538×	`*-commutative_binary64`
366×	`distribute-rgt-in_binary64`
364×	`distribute-lft-in_binary64`
332×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	1662
1	471	1560
2	1714	1414
3	5412	1408
4	7548	1408

Stop Event

1×	node limit

Counts

165 → 116

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 (*.f64 l J)) 1/3) (cbrt.f64 2))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 (.f64 1 (.f64 l J)) 1/3) (.f64 (cbrt.f64 2) (pow.f64 K 2)))) (.f64 (pow.f64 (.f64 1 (.f64 l J)) 1/3) (cbrt.f64 2)))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 (.f64 1 (.f64 l J)) 1/3) (.f64 (cbrt.f64 2) (pow.f64 K 2)))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 l J)) 1/3) (cbrt.f64 2)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 l 2) (pow.f64 J 2))) 1/3) (.f64 (-.f64 (.f64 1/384 (.f64 l J)) (.f64 1/192 (.f64 l J))) (*.f64 (cbrt.f64 2) (pow.f64 K 4)))))))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 (.f64 1 (.f64 l J)) 1/3) (.f64 (cbrt.f64 2) (pow.f64 K 2)))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 l J)) 1/3) (cbrt.f64 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 l 2) (pow.f64 J 2))) 1/3) (.f64 (cbrt.f64 2) (.f64 (pow.f64 K 6) (-.f64 (.f64 -1/46080 (.f64 l J)) (+.f64 (.f64 -1/13824 (.f64 l J)) (.f64 -1/12 (-.f64 (.f64 1/384 (.f64 l J)) (.f64 1/192 (.f64 l J)))))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 l 2) (pow.f64 J 2))) 1/3) (.f64 (-.f64 (.f64 1/384 (.f64 l J)) (.f64 1/192 (.f64 l J))) (*.f64 (cbrt.f64 2) (pow.f64 K 4))))))))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (*.f64 l J))) 1/3) (cbrt.f64 2))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (*.f64 l J))) 1/3) (cbrt.f64 2))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (*.f64 l J))) 1/3) (cbrt.f64 2))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (*.f64 l J))) 1/3) (cbrt.f64 2))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (*.f64 l J))) 1/3) (cbrt.f64 2))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (*.f64 l J))) 1/3) (cbrt.f64 2))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (*.f64 l J))) 1/3) (cbrt.f64 2))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (*.f64 l J))) 1/3) (cbrt.f64 2))
(.f64 2 (.f64 (pow.f64 1 1/3) (*.f64 l J)))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (.f64 l J))) (.f64 -1/12 (.f64 (pow.f64 1 1/3) (.f64 l J)))) (pow.f64 K 2)) (.f64 2 (.f64 (pow.f64 1 1/3) (.f64 l J))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (.f64 l J))) (.f64 -1/12 (.f64 (pow.f64 1 1/3) (.f64 l J)))) (pow.f64 K 2)) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/384 (.f64 l J)) (.f64 1/192 (.f64 l J))))) (+.f64 (.f64 1/144 (.f64 (pow.f64 1 1/3) (.f64 l J))) (.f64 (pow.f64 (.f64 1 (.f64 l J)) 1/3) (.f64 (cbrt.f64 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 l J)) 1/3) (.f64 (pow.f64 (cbrt.f64 2) 2) (-.f64 (.f64 1/384 (.f64 l J)) (.f64 1/192 (.f64 l J)))))) (+.f64 (.f64 1/576 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 l 2) (pow.f64 J 2))) 1/3) (pow.f64 (cbrt.f64 2) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 l J)) 1/3) (.f64 (-.f64 (.f64 1/384 (.f64 l J)) (.f64 1/192 (.f64 l J))) (pow.f64 (cbrt.f64 2) 2)))))))))) (pow.f64 K 4)) (.f64 2 (.f64 (pow.f64 1 1/3) (.f64 l J)))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (.f64 l J))) (.f64 -1/12 (.f64 (pow.f64 1 1/3) (.f64 l J)))) (pow.f64 K 2)) (+.f64 (.f64 (pow.f64 K 6) (+.f64 (.f64 -1/18 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/384 (.f64 l J)) (.f64 1/192 (.f64 l J))))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 l J)) 1/3) (.f64 (+.f64 (.f64 -1/72 (.f64 (pow.f64 (/.f64 1 (.f64 l J)) 1/3) (.f64 (-.f64 (.f64 1/384 (.f64 l J)) (.f64 1/192 (.f64 l J))) (pow.f64 (cbrt.f64 2) 2)))) (+.f64 (.f64 -1/72 (.f64 (pow.f64 (/.f64 1 (.f64 l J)) 1/3) (.f64 (pow.f64 (cbrt.f64 2) 2) (-.f64 (.f64 1/384 (.f64 l J)) (.f64 1/192 (.f64 l J)))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 l J)) 1/3) (.f64 (pow.f64 (cbrt.f64 2) 2) (-.f64 (.f64 -1/46080 (.f64 l J)) (+.f64 (.f64 -1/13824 (.f64 l J)) (.f64 -1/12 (-.f64 (.f64 1/384 (.f64 l J)) (.f64 1/192 (.f64 l J))))))))))) (cbrt.f64 2))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 (.f64 1 (.f64 l J)) 1/3) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 l J)) 1/3) (.f64 (pow.f64 (cbrt.f64 2) 2) (-.f64 (.f64 1/384 (.f64 l J)) (.f64 1/192 (.f64 l J)))))) (+.f64 (.f64 1/576 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 l 2) (pow.f64 J 2))) 1/3) (pow.f64 (cbrt.f64 2) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 l J)) 1/3) (.f64 (-.f64 (.f64 1/384 (.f64 l J)) (.f64 1/192 (.f64 l J))) (pow.f64 (cbrt.f64 2) 2)))))) (cbrt.f64 2)))) (.f64 2/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/46080 (.f64 l J)) (+.f64 (.f64 -1/13824 (.f64 l J)) (.f64 -1/12 (-.f64 (.f64 1/384 (.f64 l J)) (.f64 1/192 (.f64 l J)))))))))))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/384 (.f64 l J)) (.f64 1/192 (.f64 l J))))) (+.f64 (.f64 1/144 (.f64 (pow.f64 1 1/3) (.f64 l J))) (.f64 (pow.f64 (.f64 1 (.f64 l J)) 1/3) (.f64 (cbrt.f64 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 l J)) 1/3) (.f64 (pow.f64 (cbrt.f64 2) 2) (-.f64 (.f64 1/384 (.f64 l J)) (.f64 1/192 (.f64 l J)))))) (+.f64 (.f64 1/576 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 l 2) (pow.f64 J 2))) 1/3) (pow.f64 (cbrt.f64 2) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 l J)) 1/3) (.f64 (-.f64 (.f64 1/384 (.f64 l J)) (.f64 1/192 (.f64 l J))) (pow.f64 (cbrt.f64 2) 2)))))))))) (pow.f64 K 4)) (.f64 2 (.f64 (pow.f64 1 1/3) (.f64 l J))))))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) (pow.f64 1 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) (pow.f64 1 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) (pow.f64 1 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) (pow.f64 1 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) (pow.f64 1 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) (pow.f64 1 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) (pow.f64 1 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l J)) (pow.f64 1 1/3)))
(.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 (pow.f64 (.f64 1 (*.f64 l J)) 1/3) (cbrt.f64 2))
(.f64 (cbrt.f64 (.f64 l J)) (cbrt.f64 2))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 (.f64 1 (.f64 l J)) 1/3) (.f64 (cbrt.f64 2) (pow.f64 K 2)))) (.f64 (pow.f64 (.f64 1 (.f64 l J)) 1/3) (cbrt.f64 2)))
(fma.f64 -1/24 (.f64 (cbrt.f64 (.f64 l J)) (.f64 (cbrt.f64 2) (.f64 K K))) (.f64 (cbrt.f64 (.f64 l J)) (cbrt.f64 2)))
(fma.f64 (cbrt.f64 (.f64 l J)) (cbrt.f64 2) (.f64 (cbrt.f64 (.f64 l J)) (.f64 (.f64 (cbrt.f64 2) (.f64 K K)) -1/24)))
(.f64 (cbrt.f64 (.f64 l J)) (+.f64 (cbrt.f64 2) (.f64 -1/24 (.f64 (cbrt.f64 2) (*.f64 K K)))))
(.f64 (+.f64 (.f64 -1/24 (.f64 K K)) 1) (.f64 (cbrt.f64 (*.f64 l J)) (cbrt.f64 2)))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 (.f64 1 (.f64 l J)) 1/3) (.f64 (cbrt.f64 2) (pow.f64 K 2)))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 l J)) 1/3) (cbrt.f64 2)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 l 2) (pow.f64 J 2))) 1/3) (.f64 (-.f64 (.f64 1/384 (.f64 l J)) (.f64 1/192 (.f64 l J))) (*.f64 (cbrt.f64 2) (pow.f64 K 4)))))))
(fma.f64 -1/24 (.f64 (cbrt.f64 (.f64 l J)) (.f64 (cbrt.f64 2) (.f64 K K))) (fma.f64 (cbrt.f64 (.f64 l J)) (cbrt.f64 2) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 l l)) (.f64 J J))) (.f64 (.f64 (.f64 l J) -1/384) (*.f64 (cbrt.f64 2) (pow.f64 K 4)))))))
(fma.f64 -1/24 (.f64 (cbrt.f64 (.f64 l J)) (.f64 (cbrt.f64 2) (.f64 K K))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 l l)) (.f64 J J))) (.f64 (pow.f64 K 4) (.f64 (.f64 l J) (.f64 -1/384 (cbrt.f64 2))))) (.f64 (cbrt.f64 (*.f64 l J)) (cbrt.f64 2))))
(+.f64 (.f64 (cbrt.f64 (.f64 l J)) (+.f64 (cbrt.f64 2) (.f64 -1/24 (.f64 (cbrt.f64 2) (.f64 K K))))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 l l)) (.f64 J J))) (.f64 1/3 (.f64 (.f64 l J) (.f64 (*.f64 (cbrt.f64 2) (pow.f64 K 4)) -1/384)))))
(+.f64 (.f64 (+.f64 (.f64 -1/24 (.f64 K K)) 1) (.f64 (cbrt.f64 (.f64 l J)) (cbrt.f64 2))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 l l)) (.f64 J J))) (.f64 1/3 (.f64 (.f64 l J) (.f64 (*.f64 (cbrt.f64 2) (pow.f64 K 4)) -1/384)))))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 (.f64 1 (.f64 l J)) 1/3) (.f64 (cbrt.f64 2) (pow.f64 K 2)))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 l J)) 1/3) (cbrt.f64 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 l 2) (pow.f64 J 2))) 1/3) (.f64 (cbrt.f64 2) (.f64 (pow.f64 K 6) (-.f64 (.f64 -1/46080 (.f64 l J)) (+.f64 (.f64 -1/13824 (.f64 l J)) (.f64 -1/12 (-.f64 (.f64 1/384 (.f64 l J)) (.f64 1/192 (.f64 l J)))))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 l 2) (pow.f64 J 2))) 1/3) (.f64 (-.f64 (.f64 1/384 (.f64 l J)) (.f64 1/192 (.f64 l J))) (*.f64 (cbrt.f64 2) (pow.f64 K 4))))))))
(fma.f64 -1/24 (.f64 (cbrt.f64 (.f64 l J)) (.f64 (cbrt.f64 2) (.f64 K K))) (fma.f64 (cbrt.f64 (.f64 l J)) (cbrt.f64 2) (.f64 1/3 (+.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 l l)) (.f64 J J))) (.f64 (cbrt.f64 2) (.f64 (pow.f64 K 6) (-.f64 (.f64 (.f64 l J) -1/46080) (fma.f64 -1/13824 (.f64 l J) (.f64 (.f64 (.f64 l J) -1/384) -1/12)))))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 l l)) (.f64 J J))) (.f64 (.f64 (.f64 l J) -1/384) (.f64 (cbrt.f64 2) (pow.f64 K 4))))))))
(fma.f64 -1/24 (.f64 (cbrt.f64 (.f64 l J)) (.f64 (cbrt.f64 2) (.f64 K K))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 l l)) (.f64 J J))) (+.f64 (.f64 (-.f64 (.f64 (.f64 l J) 7/138240) (.f64 (.f64 l J) 1/4608)) (.f64 (cbrt.f64 2) (pow.f64 K 6))) (.f64 (pow.f64 K 4) (.f64 (.f64 l J) (.f64 -1/384 (cbrt.f64 2)))))) (.f64 (cbrt.f64 (*.f64 l J)) (cbrt.f64 2))))
(+.f64 (.f64 (cbrt.f64 (.f64 l J)) (+.f64 (cbrt.f64 2) (.f64 -1/24 (.f64 (cbrt.f64 2) (.f64 K K))))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 l l)) (.f64 J J))) (.f64 (cbrt.f64 2) (+.f64 (.f64 (pow.f64 K 6) (.f64 (.f64 l J) -23/138240)) (.f64 (.f64 l (.f64 J -1/384)) (pow.f64 K 4)))))))
(+.f64 (.f64 (+.f64 (.f64 -1/24 (.f64 K K)) 1) (.f64 (cbrt.f64 (.f64 l J)) (cbrt.f64 2))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 l l)) (.f64 J J))) (.f64 (cbrt.f64 2) (+.f64 (.f64 (pow.f64 K 6) (.f64 (.f64 l J) -23/138240)) (.f64 (.f64 l (.f64 J -1/384)) (pow.f64 K 4)))))))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (*.f64 l J))) 1/3) (cbrt.f64 2))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (*.f64 l J))) 1/3) (cbrt.f64 2))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (*.f64 l J))) 1/3) (cbrt.f64 2))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (*.f64 l J))) 1/3) (cbrt.f64 2))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (*.f64 l J))) 1/3) (cbrt.f64 2))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (*.f64 l J))) 1/3) (cbrt.f64 2))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (*.f64 l J))) 1/3) (cbrt.f64 2))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (*.f64 l J))) 1/3) (cbrt.f64 2))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 2 (.f64 (pow.f64 1 1/3) (*.f64 l J)))
(.f64 (.f64 l J) 2)
(.f64 J (.f64 l 2))
(*.f64 l (+.f64 J J))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (.f64 l J))) (.f64 -1/12 (.f64 (pow.f64 1 1/3) (.f64 l J)))) (pow.f64 K 2)) (.f64 2 (.f64 (pow.f64 1 1/3) (.f64 l J))))
(fma.f64 (.f64 (.f64 l J) -1/4) (.f64 K K) (.f64 (*.f64 l J) 2))
(.f64 (.f64 l J) (+.f64 2 (.f64 (.f64 K K) -1/4)))
(.f64 (.f64 l J) (+.f64 2 (.f64 K (.f64 K -1/4))))
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(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))
(.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 (cos.f64 (.f64 K 1/2)) (.f64 J (.f64 l 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 l (+.f64 J J)))

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 J 2) (sinh.f64 l))
✓	0.1b	(.f64 (pow.f64 (cbrt.f64 (.f64 (*.f64 J 2) (sinh.f64 l))) 3) (cos.f64 (/.f64 K 2)))
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 (.f64 J 2) (sinh.f64 l))) 3)
✓	14.1b	(cbrt.f64 (.f64 (.f64 J 2) (sinh.f64 l)))

Compiler

Compiled 74 to 48 computations (35.1% saved)

series33.0ms (0.3%)

Counts

4 → 76

Calls

27 calls:

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

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

658×	`log-prod_binary64`
436×	`pow-prod-down_binary64`
333×	`pow2_binary64`
279×	`pow-unpow_binary64`
235×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	299	46
2	3337	46

Stop Event

1×	node limit

Counts

4 → 111

Calls

Call 1

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

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

simplify91.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

572×	`fma-def_binary64`
472×	`associate-l_binary64`
428×	`distribute-rgt-in_binary64`
422×	`distribute-lft-in_binary64`
403×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	1592
1	246	1545
2	784	1461
3	3442	1439
4	7402	1439

Stop Event

1×	node limit

Counts

187 → 129

Calls

Call 1

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

eval183.0ms (1.8%)

Compiler: Compiled 9973 to 6564 computations (34.2% saved)

prune86.0ms (0.8%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	472	7	479
Fresh	2	3	5
Picked	1	0	1
Done	0	4	4
Total	475	14	489

Error

Counts

489 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.3b	(+.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 l l))) (sqrt.f64 (+.f64 l l))) U)
	10.5b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
	26.3b	(+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 J 2) (sinh.f64 l))) 2) (cos.f64 (/.f64 K 2))) U)
▶	52.4b	(.f64 2 (.f64 l J))
	31.5b	(+.f64 (.f64 2 (.f64 l (pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J)) 2))) U)
▶	0.6b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 J (*.f64 l 2))) 3) (cos.f64 (/.f64 K 2))) U)
▶	10.6b	(fma.f64 (*.f64 2 l) J U)
✓	0.6b	(+.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 l 2))) 3) U)
✓	10.6b	(+.f64 (.f64 (.f64 2 l) J) U)
✓	0.2b	(+.f64 (.f64 2 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l))) U)
✓	0.2b	(+.f64 (.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2))) U)
▶	27.5b	(-.f64 (+.f64 1 (fma.f64 (*.f64 2 l) J U)) 1)
	20.5b	U
	26.6b	(+.f64 (.f64 l (.f64 J (+.f64 2 (.f64 K (.f64 K -1/4))))) U)

Compiler

Compiled 351 to 261 computations (25.6% saved)

localize31.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (pow.f64 (cbrt.f64 (.f64 J (*.f64 l 2))) 3) (cos.f64 (/.f64 K 2)))
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 J (.f64 l 2))) 3)
✓	14.1b	(cbrt.f64 (.f64 J (.f64 l 2)))

Compiler

Compiled 67 to 47 computations (29.9% saved)

series37.0ms (0.4%)

Counts

3 → 36

Calls

21 calls:

Time	Variable		Point	Expression
21.0ms	J	@	inf	(.f64 (pow.f64 (cbrt.f64 (.f64 J (*.f64 l 2))) 3) (cos.f64 (/.f64 K 2)))
3.0ms	l	@	-inf	(.f64 (pow.f64 (cbrt.f64 (.f64 J (*.f64 l 2))) 3) (cos.f64 (/.f64 K 2)))
2.0ms	l	@	0	(.f64 (pow.f64 (cbrt.f64 (.f64 J (*.f64 l 2))) 3) (cos.f64 (/.f64 K 2)))
1.0ms	J	@	-inf	(.f64 (pow.f64 (cbrt.f64 (.f64 J (*.f64 l 2))) 3) (cos.f64 (/.f64 K 2)))
1.0ms	J	@	0	(.f64 (pow.f64 (cbrt.f64 (.f64 J (*.f64 l 2))) 3) (cos.f64 (/.f64 K 2)))

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

603×	`log-prod_binary64`
398×	`pow-prod-down_binary64`
302×	`pow2_binary64`
258×	`pow-unpow_binary64`
213×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	276	31
2	3012	31

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

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

Outputs

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

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

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

simplify134.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1774×	`fma-def_binary64`
816×	`unswap-sqr_binary64`
461×	`sqr-pow_binary64`
365×	`*-commutative_binary64`
356×	`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	2593	552
5	3085	552
6	3206	552
7	3332	552
8	3466	552
9	3641	550
10	4700	550
11	6389	550
12	6951	550
13	7610	550

Stop Event

1×	node limit

Counts

138 → 110

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)))

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

localize7.0ms (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)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	l	@	inf	(.f64 2 (.f64 l J))
0.0ms	l	@	0	(.f64 2 (.f64 l J))
0.0ms	J	@	inf	(.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 (0.4%)

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 (0.1%)

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

localize7.0ms (0.1%)

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.2b	(-.f64 (+.f64 1 (fma.f64 (*.f64 2 l) J U)) 1)

Compiler

Compiled 36 to 23 computations (36.1% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`unpow-prod-down_binary64`
408×	`log-prod_binary64`
366×	`prod-diff_binary64`
314×	`fma-def_binary64`
248×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	215	8
2	2803	8

Stop Event

1×	node limit

Counts

1 → 100

Calls

Call 1

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

Outputs

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

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

136 → 103

Calls

Call 1

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

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

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 74 to 34 computations (54.1% saved)

series16.0ms (0.2%)

Counts

2 → 60

Calls

18 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1001×	`pow1_binary64`
924×	`add-log-exp_binary64`
923×	`log1p-expm1-u_binary64`
923×	`expm1-log1p-u_binary64`
125×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	248	30
2	3274	30

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

624×	`associate-l_binary64`
575×	`associate-r_binary64`
565×	`unswap-sqr_binary64`
554×	`distribute-rgt-out_binary64`
381×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	1358
1	193	1120
2	677	1078
3	3058	1052
4	4931	1052

Stop Event

1×	node limit

Counts

98 → 40

Calls

Call 1

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

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

eval117.0ms (1.1%)

Compiler: Compiled 5382 to 3104 computations (42.3% saved)

prune109.0ms (1.1%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	297	4	301
Fresh	2	3	5
Picked	0	1	1
Done	1	7	8
Total	300	15	315

Error

Counts

315 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.3b	(+.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 l l))) (sqrt.f64 (+.f64 l l))) U)
	10.5b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
	31.5b	(+.f64 (.f64 2 (.f64 l (pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J)) 2))) U)
✓	0.6b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 J (*.f64 l 2))) 3) (cos.f64 (/.f64 K 2))) U)
✓	10.6b	(fma.f64 (*.f64 2 l) J U)
✓	0.6b	(+.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 l 2))) 3) U)
	55.8b	(-.f64 (+.f64 1 (.f64 2 (.f64 l J))) 1)
	37.7b	(+.f64 (.f64 (.f64 J (sqrt.f64 (+.f64 l l))) (sqrt.f64 (+.f64 l l))) U)
	26.1b	(+.f64 (.f64 (.f64 l J) (-.f64 (.f64 (.f64 K K) -1/4) -2)) U)
✓	10.6b	(+.f64 (.f64 (.f64 2 l) J) U)
✓	0.2b	(+.f64 (.f64 2 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l))) U)
✓	0.2b	(+.f64 (.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2))) U)
✓	52.4b	(.f64 2 (.f64 l J))
	20.5b	U
	33.0b	(+.f64 (.f64 (.f64 (*.f64 (+.f64 l l) (sqrt.f64 J)) (sqrt.f64 J)) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 225 to 162 computations (28% saved)

regimes372.0ms (3.6%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

15 calls:

39.0ms	(cos.f64 (/.f64 K 2))
35.0ms	(/.f64 K 2)
35.0ms	(/.f64 K 2)
32.0ms	(cos.f64 (/.f64 K 2))
31.0ms	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 539 to 359 computations (33.4% saved)

regimes141.0ms (1.4%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 248 to 168 computations (32.3% saved)

regimes154.0ms (1.5%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

10 calls:

18.0ms	U
17.0ms	l
17.0ms	(/.f64 K 2)
17.0ms	J
17.0ms	K

Results

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

Compiler

Compiled 205 to 140 computations (31.7% saved)

regimes57.0ms (0.6%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	J
13.0ms	U
12.0ms	l
12.0ms	K

Results

Error	Segments	Branch
10.5b	1	`J`
10.5b	1	`l`
10.5b	1	`K`
10.5b	1	`U`

Compiler

Compiled 96 to 63 computations (34.4% saved)

regimes48.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
10.6b	1	`J`
10.6b	1	`l`
10.6b	1	`K`
10.6b	1	`U`

Compiler

Compiled 78 to 51 computations (34.6% saved)

regimes56.0ms (0.5%)

Accuracy

Total -43.4b remaining (-234.2%)

Threshold costs -43.4b (-234.2%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

27.0ms	U
13.0ms	J
8.0ms	l
7.0ms	K

Results

Error	Segments	Branch
19.0b	2	`J`
20.5b	1	`l`
20.5b	1	`K`
18.5b	3	`U`

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch352.0ms (3.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
168.0ms	6.479488410930827e-220	2.0032830001876958e-219
183.0ms	-8.262393460654278e-276	-4.210021785320659e-292

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	102
1	60	102

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 1) U)
(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 2 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l))) U)
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
(+.f64 (.f64 (.f64 2 l) J) U)
(if (<=.f64 U -5153255600628087/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464) U (if (<=.f64 U 8240761230805303/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352) (.f64 2 (.f64 l J)) U))
U

Outputs
(+.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 1) U)
(+.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) U)
(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
(+.f64 U (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))
(+.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))))))
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
(+.f64 U (.f64 J (.f64 2 (sinh.f64 l))))
(+.f64 (.f64 (.f64 2 l) J) U)
(+.f64 U (.f64 J (.f64 2 l)))
(if (<=.f64 U -5153255600628087/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464) U (if (<=.f64 U 8240761230805303/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352) (.f64 2 (.f64 l J)) U))
(if (<=.f64 U -5153255600628087/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464) U (if (<=.f64 U 8240761230805303/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352) (.f64 2 (.f64 J l)) U))
U

Compiler

Compiled 97 to 72 computations (25.8% saved)

soundness0.0ms (0%)

end79.0ms (0.8%)

Compiler: Compiled 73 to 46 computations (37% saved)