Details

analyze570.0ms (5.7%)

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)

sample4.8s (48.4%)

Results

1.1s	1684×	body	1024	valid
1.1s	5244×	body	256	valid
985.0ms	2041×	body	1024	invalid
689.0ms	3696×	body	256	invalid
487.0ms	1271×	body	512	valid
356.0ms	1026×	body	512	invalid
76.0ms	57×	body	2048	valid

preprocess109.0ms (1.1%)

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)

simplify89.0ms (0.9%)

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)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

14.4b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.4b	(+.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)

localize22.0ms (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)))
✓	6.6b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 65 to 24 computations (63.1% saved)

series13.0ms (0.1%)

Counts

3 → 68

Calls

18 calls:

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

rewrite122.0ms (1.2%)

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)))))))))

simplify76.0ms (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)

prune17.0ms (0.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	6	61

Error

0.0b

Counts

61 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(+.f64 (.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2))) U)
▶	0.7b	(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
▶	0.0b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
	0.4b	(+.f64 (.f64 (.f64 J (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2))) U)
▶	14.5b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
▶	0.0b	(+.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 1) U)

Compiler

Compiled 224 to 168 computations (25% saved)

localize32.0ms (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)

series27.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	l	@	inf	(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))
4.0ms	K	@	-inf	(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))
3.0ms	l	@	0	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2)))
2.0ms	J	@	0	(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))
2.0ms	l	@	inf	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2)))

rewrite66.0ms (0.7%)

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 (0.9%)

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)))

localize24.0ms (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))
✓	0.1b	(.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
1.0ms	J	@	inf	(.f64 (cos.f64 (.f64 1/2 K)) J)
1.0ms	l	@	inf	(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
1.0ms	l	@	0	(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
1.0ms	J	@	inf	(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
1.0ms	J	@	0	(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))

rewrite66.0ms (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)))))))

simplify159.0ms (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)))

localize24.0ms (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	l	@	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)))

rewrite55.0ms (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)))))))

simplify133.0ms (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)))

localize12.0ms (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)
	6.6b	(-.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	@	0	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
0.0ms	J	@	inf	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
0.0ms	l	@	inf	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)

rewrite32.0ms (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)))))))

simplify72.0ms (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))))

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 52 to 31 computations (40.4% saved)

series7.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`log-prod_binary64`
445×	`exp-prod_binary64`
379×	`pow-prod-down_binary64`
298×	`pow2_binary64`
241×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	232	26
2	2863	26

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

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

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

604×	`unsub-neg_binary64`
560×	`fma-def_binary64`
403×	`associate-+l+_binary64`
341×	`associate-l_binary64`
326×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	1288
1	211	1243
2	666	1170
3	2891	1135
4	6144	1135

Stop Event

1×	node limit

Counts

109 → 76

Calls

Call 1

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

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

eval163.0ms (1.6%)

Compiler: Compiled 8289 to 5579 computations (32.7% saved)

prune71.0ms (0.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	427	4	431
Fresh	1	0	1
Picked	1	0	1
Done	2	2	4
Total	431	6	437

Error

Counts

437 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.5b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
▶	0.7b	(+.f64 (.f64 2 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l))) U)
✓	0.7b	(+.f64 (.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2))) U)
▶	22.3b	(+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (sinh.f64 l) (*.f64 J 2))) 2) (cos.f64 (/.f64 K 2))) U)
▶	5.9b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
▶	6.5b	(+.f64 (.f64 (.f64 2 l) J) U)

Compiler

Compiled 89 to 67 computations (24.7% 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)

series9.0ms (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)

rewrite66.0ms (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)))))))

simplify166.0ms (1.7%)

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)))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

72 → 39

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 15 computations (46.4% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

Outputs

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

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

simplify119.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	809
1	111	806
2	282	789
3	828	784
4	2080	784
5	2348	784
6	2702	784
7	3524	784
8	5082	784
9	7418	784

Stop Event

1×	node limit

Counts

160 → 120

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

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

localize62.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 l)
✓	0.1b	(.f64 (pow.f64 (sqrt.f64 (.f64 (sinh.f64 l) (*.f64 J 2))) 2) (cos.f64 (/.f64 K 2)))
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 (sinh.f64 l) (.f64 J 2))) 2)
✓	16.7b	(sqrt.f64 (.f64 (sinh.f64 l) (.f64 J 2)))

Compiler

Compiled 73 to 47 computations (35.6% saved)

series53.0ms (0.5%)

Counts

3 → 52

Calls

21 calls:

Time	Variable		Point	Expression
12.0ms	l	@	inf	(sqrt.f64 (.f64 (sinh.f64 l) (.f64 J 2)))
4.0ms	l	@	0	(pow.f64 (sqrt.f64 (.f64 (sinh.f64 l) (.f64 J 2))) 2)
3.0ms	J	@	0	(sqrt.f64 (.f64 (sinh.f64 l) (.f64 J 2)))
3.0ms	l	@	0	(.f64 (pow.f64 (sqrt.f64 (.f64 (sinh.f64 l) (*.f64 J 2))) 2) (cos.f64 (/.f64 K 2)))
3.0ms	J	@	-inf	(pow.f64 (sqrt.f64 (.f64 (sinh.f64 l) (.f64 J 2))) 2)

rewrite97.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`log-prod_binary64`
414×	`pow-prod-down_binary64`
316×	`pow2_binary64`
256×	`pow-unpow_binary64`
225×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	275	37
2	3073	37

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

Outputs

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

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

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

simplify135.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

782×	`distribute-lft-out_binary64`
526×	`times-frac_binary64`
463×	`fma-def_binary64`
392×	`*-commutative_binary64`
303×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	1845
1	260	1376
2	976	1202
3	3268	1163
4	7317	1163

Stop Event

1×	node limit

Counts

146 → 118

Calls

Call 1

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

Outputs
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.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 J l)))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 J (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))))
(+.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 J l)) (.f64 (.f64 1/6 (pow.f64 (sqrt.f64 2) 2)) (.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)))) (.f64 (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (pow.f64 l 3))) 1/3))
(.f64 (.f64 2 (cos.f64 (.f64 1/2 K))) (+.f64 (.f64 1/6 (.f64 J (pow.f64 l 3))) (.f64 J l)))
(.f64 (.f64 2 (cos.f64 (.f64 1/2 K))) (+.f64 (.f64 J l) (.f64 1/6 (.f64 J (pow.f64 l 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 J l)) (fma.f64 1/6 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (pow.f64 l 3)))) (.f64 1/120 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (pow.f64 l 5)))))))
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))) (fma.f64 1/3 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3))) (.f64 (.f64 1/60 (cos.f64 (.f64 1/2 K))) (.f64 J (pow.f64 l 5)))))
(fma.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K)))) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 (.f64 J (pow.f64 l 3)) 1/3) (.f64 (*.f64 J (pow.f64 l 5)) 1/60))))
(.f64 (.f64 2 (cos.f64 (.f64 1/2 K))) (+.f64 (.f64 1/6 (.f64 J (pow.f64 l 3))) (+.f64 (.f64 J l) (.f64 1/120 (.f64 J (pow.f64 l 5))))))
(+.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 J l)) (fma.f64 1/5040 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (pow.f64 l 7)))) (fma.f64 1/6 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (pow.f64 l 3)))) (.f64 1/120 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (pow.f64 l 5))))))))
(fma.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))) (fma.f64 1/2520 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (pow.f64 l 7))) (fma.f64 1/3 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3))) (.f64 (.f64 1/60 (cos.f64 (.f64 1/2 K))) (*.f64 J (pow.f64 l 5))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 (.f64 J (pow.f64 l 3)) 1/3) (.f64 (.f64 J (pow.f64 l 5)) 1/60))) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 2 (.f64 J l)) (.f64 (.f64 J (pow.f64 l 7)) 1/2520))))
(.f64 (.f64 2 (cos.f64 (.f64 1/2 K))) (+.f64 (+.f64 (.f64 J l) (.f64 1/6 (.f64 J (pow.f64 l 3)))) (+.f64 (.f64 1/5040 (.f64 J (pow.f64 l 7))) (.f64 1/120 (.f64 J (pow.f64 l 5))))))
(.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 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (*.f64 1/2 K))))
(.f64 (.f64 1 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (cos.f64 (.f64 1/2 K)))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.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 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (*.f64 1/2 K))))
(.f64 (.f64 1 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (cos.f64 (.f64 1/2 K)))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.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 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (*.f64 1/2 K))))
(.f64 (.f64 1 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (cos.f64 (.f64 1/2 K)))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.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 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (*.f64 1/2 K))))
(.f64 (.f64 1 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (cos.f64 (.f64 1/2 K)))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
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(.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 (sqrt.f64 -2) 2) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
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(.f64 (cos.f64 (.f64 1/2 K)) (.f64 -1/2 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J -2))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 1 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
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(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (+.f64 (.f64 (.f64 K K) -1/8) 1))
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (+.f64 1 (.f64 (.f64 K K) -1/8)))
(+.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))))))))
(fma.f64 -1/16 (.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 K K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (fma.f64 1/768 (.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 K 4)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.f64 1/2 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (pow.f64 (sqrt.f64 2) 2)))))
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(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (+.f64 (.f64 (.f64 K K) -1/8) (*.f64 (pow.f64 K 4) 1/384))))
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (+.f64 1 (+.f64 (.f64 (.f64 K K) -1/8) (*.f64 (pow.f64 K 4) 1/384))))
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(.f64 (.f64 1 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (cos.f64 (.f64 1/2 K)))
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(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
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(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
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(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
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(.f64 (.f64 1 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (cos.f64 (.f64 1/2 K)))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.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 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (*.f64 1/2 K))))
(.f64 (.f64 1 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (cos.f64 (.f64 1/2 K)))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.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 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (*.f64 1/2 K))))
(.f64 (.f64 1 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (cos.f64 (.f64 1/2 K)))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))
(.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 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (*.f64 1/2 K))))
(.f64 (.f64 1 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (cos.f64 (.f64 1/2 K)))
(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 1/2 K))))

eval233.0ms (2.3%)

Compiler: Compiled 8266 to 5021 computations (39.3% saved)

prune86.0ms (0.9%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	473	5	478
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	474	10	484

Error

Counts

484 → 10

Alt Table

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Status	Error	Program
✓	14.5b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
✓	0.7b	(+.f64 (.f64 2 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l))) U)
✓	6.5b	(+.f64 (.f64 (.f64 2 l) J) U)
▶	22.8b	(+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 l (*.f64 J 2))) 2) (cos.f64 (/.f64 K 2))) U)
✓	0.7b	(+.f64 (.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2))) U)
▶	24.9b	(-.f64 (+.f64 1 (fma.f64 (*.f64 2 l) J U)) 1)
▶	52.9b	(.f64 2 (.f64 l J))
▶	25.4b	(+.f64 (pow.f64 (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) J))) 2) U)
	15.5b	U
✓	5.9b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)

Compiler

Compiled 131 to 100 computations (23.7% saved)

localize5.0ms (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	@	0	(.f64 2 (.f64 l J))
0.0ms	l	@	inf	(.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))

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

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

localize30.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (pow.f64 (sqrt.f64 (.f64 l (*.f64 J 2))) 2) (cos.f64 (/.f64 K 2)))
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 l (.f64 J 2))) 2)
✓	16.7b	(sqrt.f64 (.f64 l (.f64 J 2)))

Compiler

Compiled 66 to 46 computations (30.3% saved)

series19.0ms (0.2%)

Counts

3 → 36

Calls

21 calls:

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

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`log-prod_binary64`
420×	`exp-prod_binary64`
383×	`pow-prod-down_binary64`
281×	`pow2_binary64`
241×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	252	31
2	2757	31

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

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

Outputs

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

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

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

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

433×	`distribute-neg-in_binary64`
421×	`associate-l_binary64`
356×	`neg-mul-1_binary64`
354×	`associate-r_binary64`
353×	`neg-sub0_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	814
1	119	586
2	438	572
3	1991	562
4	3168	562
5	6809	562

Stop Event

1×	node limit

Counts

142 → 116

Calls

Call 1

Inputs
(.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 (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 (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)))

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 l)
✓	0.0b	(.f64 2 (.f64 (sinh.f64 l) J))
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) J))) 2)
✓	16.7b	(sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) J)))

Compiler

Compiled 47 to 23 computations (51.1% saved)

series8.0ms (0.1%)

Counts

3 → 40

Calls

18 calls:

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

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`pow1_binary64`
706×	`add-log-exp_binary64`
705×	`log1p-expm1-u_binary64`
705×	`expm1-log1p-u_binary64`
689×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	189	29
2	2002	29

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs
(sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) J)))
(pow.f64 (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) J))) 2)
(.f64 2 (.f64 (sinh.f64 l) J))

Outputs

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

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

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

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1001×	`fma-def_binary64`
676×	`unsub-neg_binary64`
581×	`distribute-rgt-in_binary64`
558×	`distribute-lft-in_binary64`
505×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	1100
1	117	733
2	334	638
3	1129	636
4	2814	634
5	6685	634

Stop Event

1×	node limit

Counts

108 → 76

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.7b	(-.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)
0.0ms	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)
0.0ms	J	@	inf	(-.f64 (+.f64 1 (fma.f64 (*.f64 2 l) J U)) 1)

rewrite67.0ms (0.7%)

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)

eval208.0ms (2.1%)

Compiler: Compiled 5685 to 3478 computations (38.8% saved)

prune134.0ms (1.3%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	346	2	348
Fresh	0	1	1
Picked	1	0	1
Done	0	8	8
Total	347	11	358

Error

Counts

358 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	23.9b	(+.f64 (.f64 (.f64 l J) (+.f64 2 (.f64 (.f64 K K) -1/4))) U)
✓	0.7b	(+.f64 (.f64 (.f64 (*.f64 2 l) J) (cos.f64 (/.f64 K 2))) U)
✓	14.5b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
✓	0.7b	(+.f64 (.f64 2 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l))) U)
✓	6.5b	(+.f64 (.f64 (.f64 2 l) J) U)
✓	22.8b	(+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 l (*.f64 J 2))) 2) (cos.f64 (/.f64 K 2))) U)
	55.5b	(-.f64 (+.f64 1 (.f64 2 (.f64 l J))) 1)
✓	52.9b	(.f64 2 (.f64 l J))
✓	25.4b	(+.f64 (pow.f64 (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) J))) 2) U)
	15.5b	U
✓	5.9b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)

Compiler

Compiled 147 to 112 computations (23.8% saved)

regimes299.0ms (3%)

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

92.0ms	(/.f64 K 2)
55.0ms	K
19.0ms	(/.f64 K 2)
19.0ms	l
18.0ms	J

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 361 to 252 computations (30.2% saved)

regimes86.0ms (0.9%)

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 2 (.f64 (.f64 K K) -1/4))) 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 (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (pow.f64 (sqrt.f64 (.f64 2 (.f64 (sinh.f64 l) J))) 2) U)
(+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 l (*.f64 J 2))) 2) (cos.f64 (/.f64 K 2))) U)

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

Calls

8 calls:

32.0ms	(cos.f64 (/.f64 K 2))
9.0ms	K
8.0ms	J
8.0ms	(/.f64 K 2)
7.0ms	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 (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	`(/.f64 K 2)`

Compiler

Compiled 197 to 137 computations (30.5% saved)

regimes75.0ms (0.8%)

Counts

11 → 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 2 (.f64 (.f64 K K) -1/4))) 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)

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

Calls

10 calls:

12.0ms	K
9.0ms	(/.f64 K 2)
8.0ms	l
7.0ms	U
7.0ms	(/.f64 K 2)

Results

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

Compiler

Compiled 173 to 124 computations (28.3% saved)

regimes28.0ms (0.3%)

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 2 (.f64 (.f64 K K) -1/4))) 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:

9.0ms	U
6.0ms	J
5.0ms	K
5.0ms	l

Results

Error	Segments	Branch
5.9b	1	`J`
5.9b	1	`l`
5.9b	1	`K`
5.9b	1	`U`

Compiler

Compiled 77 to 52 computations (32.5% saved)

regimes21.0ms (0.2%)

Counts

5 → 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 2 (.f64 (.f64 K K) -1/4))) U)

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes30.0ms (0.3%)

Accuracy

Total -47.9b remaining (-346.9%)

Threshold costs -47.9b (-346.9%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	U
9.0ms	J
8.0ms	K
3.0ms	l

Results

Error	Segments	Branch
13.9b	2	`J`
15.5b	1	`l`
15.5b	1	`K`
13.8b	3	`U`

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch201.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
96.0ms	4.6815446379792105e-273	1.2461485010436398e-267
105.0ms	-3.973562135617725e-276	-8.830609115912321e-278

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify9.0ms (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 -2478311088345851/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464) U (if (<=.f64 U 5702890319436667/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872) (.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 -2478311088345851/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464) U (if (<=.f64 U 5702890319436667/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872) (.f64 2 (.f64 l J)) U))
(if (<=.f64 U -2478311088345851/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464) U (if (<=.f64 U 5702890319436667/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872) (.f64 2 (.f64 J l)) U))
U

Compiler

Compiled 97 to 72 computations (25.8% saved)

soundness0.0ms (0%)

end82.0ms (0.8%)

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