Details

analyze737.0ms (4.5%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 15 computations (25% saved)

sample5.1s (30.6%)

Results

1.2s	1733×	body	1024	valid
1.2s	5208×	body	256	valid
1.0s	2008×	body	1024	infinite
763.0ms	3823×	body	256	infinite
455.0ms	1258×	body	512	valid
369.0ms	1008×	body	512	infinite
51.0ms	57×	body	2048	valid

Bogosity

preprocess131.0ms (0.8%)

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)

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

17.9b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.9b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
✓	0.3b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
✓	5.3b	(-.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	K	@	0	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
1.0ms	K	@	inf	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
1.0ms	K	@	-inf	(.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)))

rewrite140.0ms (0.8%)

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	8	9
1	169	9
2	2769	9
0	8	9
0	13	17
1	277	17
2	4318	17
0	13	17

Stop Event

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

Counts

3 → 25

Calls

Call 1

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

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x 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))))))))))

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	1386
1	252	1333
2	760	1261
3	3148	1225
4	6437	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 (-.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))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 5) J))) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J)))))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (+.f64 (.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 5) J))) (+.f64 (.f64 1/2520 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 7) J))) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J))))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))))
(+.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))) (.f64 1/384 (.f64 (pow.f64 K 4) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))))
(+.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))) (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))

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

eval23.0ms (0.1%)

Compiler: Compiled 1290 to 788 computations (38.9% saved)

prune18.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	8	61

Error

0.3b

Counts

61 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(+.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 1) U)
	31.1b	(+.f64 (.f64 (.f64 J (.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2))) U)
▶	1.1b	(+.f64 (.f64 (.f64 J (*.f64 2 l)) (cos.f64 (/.f64 K 2))) U)
✓	17.9b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
	0.6b	(+.f64 (.f64 (+.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)))) (cos.f64 (/.f64 K 2))) U)
▶	0.8b	(+.f64 (.f64 (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (*.f64 (pow.f64 l 3) J))) (cos.f64 (/.f64 K 2))) U)
▶	0.3b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
▶	1.0b	(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)

Compiler

Compiled 315 to 238 computations (24.4% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 1) U)
✓	0.0b	(sinh.f64 l)
✓	0.1b	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (*.f64 K 1/2)))
✓	0.3b	(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))

Compiler

Compiled 72 to 47 computations (34.7% saved)

series27.0ms (0.2%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	K	@	-inf	(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))
3.0ms	J	@	0	(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))
3.0ms	l	@	-inf	(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))
2.0ms	l	@	inf	(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))
1.0ms	K	@	inf	(.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2))))

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

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

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

simplify168.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	120	2785
1	346	2679
2	1064	2561
3	3702	2479
4	7139	2471

Stop Event

1×	node limit

Counts

253 → 196

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

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

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 35 computations (34% saved)

series18.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

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

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

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

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

simplify275.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	2057
1	188	2029
2	594	1976
3	2382	1969
4	3541	1969
5	4147	1969
6	4403	1969
7	5055	1969
8	5197	1969
9	5379	1969
10	5693	1969
11	7357	1969
12	7920	1969

Stop Event

1×	node limit

Counts

261 → 156

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 46 to 30 computations (34.8% saved)

series6.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

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

simplify272.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

167 → 104

Calls

Call 1

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

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

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
	0.0b	(sinh.f64 l)
✓	0.2b	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
✓	0.3b	(.f64 J (.f64 2 (sinh.f64 l)))

Compiler

Compiled 52 to 31 computations (40.4% saved)

series11.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite92.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	283	44
2	3723	44

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

Outputs

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

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

simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	2393
1	269	2310
2	817	2195
3	3513	2140
4	5778	2140

Stop Event

1×	node limit

Counts

213 → 150

Calls

Call 1

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

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

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (.f64 l J))
✓	0.1b	(.f64 1/3 (.f64 (pow.f64 l 3) J))
✓	0.2b	(.f64 (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (*.f64 (pow.f64 l 3) J))) (cos.f64 (/.f64 K 2)))
✓	4.9b	(*.f64 (pow.f64 l 3) J)

Compiler

Compiled 92 to 58 computations (37% saved)

series27.0ms (0.2%)

Counts

4 → 36

Calls

27 calls:

Time	Variable		Point	Expression
10.0ms	l	@	inf	(.f64 (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (*.f64 (pow.f64 l 3) J))) (cos.f64 (/.f64 K 2)))
1.0ms	K	@	inf	(.f64 (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (*.f64 (pow.f64 l 3) J))) (cos.f64 (/.f64 K 2)))
1.0ms	J	@	inf	(.f64 (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (*.f64 (pow.f64 l 3) J))) (cos.f64 (/.f64 K 2)))
1.0ms	J	@	0	(.f64 (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (*.f64 (pow.f64 l 3) J))) (cos.f64 (/.f64 K 2)))
1.0ms	J	@	-inf	(.f64 (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (*.f64 (pow.f64 l 3) J))) (cos.f64 (/.f64 K 2)))

rewrite88.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`log-prod_binary64`
464×	`fma-def_binary64`
295×	`expm1-udef_binary64`
295×	`log1p-udef_binary64`
267×	`pow3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	349	48
2	4352	46

Stop Event

1×	node limit

Counts

4 → 81

Calls

Call 1

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

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

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

737×	`associate-+r+_binary64`
600×	`associate-l_binary64`
520×	`associate-r_binary64`
511×	`distribute-rgt-out_binary64`
389×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	1232
1	180	863
2	666	828
3	3832	817
4	7211	817

Stop Event

1×	node limit

Counts

117 → 98

Calls

Call 1

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

Outputs
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (pow.f64 l 3) J))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (pow.f64 l 3)))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (fma.f64 2 l (.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 2 l))))
(+.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))))
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(fma.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)) (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (pow.f64 l 3)))))
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eval354.0ms (2.1%)

Compiler: Compiled 15533 to 10022 computations (35.5% saved)

prune143.0ms (0.9%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	728	14	742
Fresh	2	0	2
Picked	1	0	1
Done	2	3	5
Total	733	17	750

Error

0.2b

Counts

750 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(+.f64 (.f64 (.f64 J l) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 2 (.f64 1/3 (.f64 l l))))) U)
	19.6b	U
✓	1.1b	(+.f64 (.f64 (.f64 J (*.f64 2 l)) (cos.f64 (/.f64 K 2))) U)
▶	33.1b	(+.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 J (.f64 J (.f64 K (.f64 K -1/8))))) U)
✓	0.3b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
▶	0.6b	(+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (*.f64 1/60 (pow.f64 l 5))))) U)
	26.0b	(+.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 J l) (.f64 (cos.f64 (.f64 1/2 K)) 2))) 2) U)
	1.1b	(+.f64 (+.f64 0 (.f64 J (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2))))) U)
	1.4b	(+.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 J l) (.f64 (cos.f64 (.f64 1/2 K)) 2))) 3) U)
	10.2b	(fma.f64 J (*.f64 2 l) U)
▶	19.4b	(expm1.f64 (log1p.f64 (fma.f64 (.f64 J l) (.f64 (cos.f64 (*.f64 1/2 K)) 2) U)))
	29.9b	(fma.f64 (.f64 (.f64 l 2) (sqrt.f64 (.f64 J (cos.f64 (.f64 1/2 K))))) (sqrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) U)
▶	10.0b	(+.f64 (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J))) U)
▶	10.2b	(+.f64 (.f64 l (.f64 J 2)) U)
✓	1.0b	(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
	18.7b	(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
	0.7b	(+.f64 (pow.f64 (.f64 J (pow.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))) 3)) 1) U)

Compiler

Compiled 546 to 407 computations (25.5% saved)

localize119.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/60 (pow.f64 l 5))
✓	0.1b	(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (.f64 1/60 (pow.f64 l 5))))
✓	0.1b	(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (*.f64 1/60 (pow.f64 l 5)))))
✓	0.2b	(.f64 1/3 (.f64 l l))

Compiler

Compiled 133 to 87 computations (34.6% saved)

series32.0ms (0.2%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	J	@	0	(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (*.f64 1/60 (pow.f64 l 5)))))
4.0ms	K	@	inf	(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (*.f64 1/60 (pow.f64 l 5)))))
2.0ms	K	@	0	(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (*.f64 1/60 (pow.f64 l 5)))))
2.0ms	l	@	inf	(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (*.f64 1/60 (pow.f64 l 5)))))
2.0ms	J	@	inf	(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (*.f64 1/60 (pow.f64 l 5)))))

rewrite152.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`fma-def_binary64`
378×	`expm1-udef_binary64`
378×	`log1p-udef_binary64`
295×	`fma-neg_binary64`
222×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	73
1	443	69
2	5810	69

Stop Event

1×	node limit

Counts

4 → 118

Calls

Call 1

Inputs
(.f64 1/3 (.f64 l l))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (*.f64 1/60 (pow.f64 l 5)))))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (.f64 1/60 (pow.f64 l 5))))
(*.f64 1/60 (pow.f64 l 5))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 l l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 (.f64 l l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/3 (.f64 l l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 l (sqrt.f64 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/27 (pow.f64 (.f64 l l) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/9 (pow.f64 l 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (.f64 l l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/27 (pow.f64 (.f64 l l) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/3 (.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/3 (.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 l) (log.f64 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 l) (log.f64 1/3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) (cos.f64 (.f64 1/2 K)))) J) (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1/60 (pow.f64 l 5))) J))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2)) (.f64 J (cos.f64 (.f64 1/2 K)))) (.f64 (.f64 1/60 (pow.f64 l 5)) (.f64 J (cos.f64 (.f64 1/2 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/60 (pow.f64 l 5)) (.f64 J (cos.f64 (.f64 1/2 K)))) (.f64 (.f64 l (fma.f64 1/3 (.f64 l l) 2)) (.f64 J (cos.f64 (.f64 1/2 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 J (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) (cos.f64 (.f64 1/2 K))))) (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1/60 (pow.f64 l 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 J (cos.f64 (.f64 1/2 K))) (.f64 l (fma.f64 1/3 (.f64 l l) 2))) (.f64 (.f64 J (cos.f64 (.f64 1/2 K))) (.f64 1/60 (pow.f64 l 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) (cos.f64 (.f64 1/2 K)))) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1/60 (pow.f64 l 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1/60 (pow.f64 l 5))) (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) (cos.f64 (.f64 1/2 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) (cos.f64 (.f64 1/2 K)))) 1) (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1/60 (pow.f64 l 5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 l (fma.f64 1/3 (.f64 l l) 2) (.f64 1/60 (pow.f64 l 5)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) (cos.f64 (.f64 1/2 K)))) 3) (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1/60 (pow.f64 l 5))) 3)) (fma.f64 (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) (cos.f64 (.f64 1/2 K)))) (.f64 l (.f64 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K)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (sqrt.f64 1/60) (pow.f64 l 5/2))) (.f64 (sqrt.f64 1/60) (pow.f64 l 5/2)) (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) (cos.f64 (.f64 1/2 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 1/60 (pow.f64 l 5)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) 2)) (cbrt.f64 (cos.f64 (.f64 1/2 K))) (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) (cos.f64 (.f64 1/2 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 1/60 (pow.f64 l 5)) (sqrt.f64 (cos.f64 (.f64 1/2 K)))) (sqrt.f64 (cos.f64 (.f64 1/2 K))) (.f64 l (.f64 (fma.f64 1/3 (.f64 l l) 2) (cos.f64 (*.f64 1/2 K)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/60 (pow.f64 l 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/60 (pow.f64 l 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/60 (pow.f64 l 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 1/60) (pow.f64 l 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/216000 (pow.f64 (pow.f64 l 5) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/3600 (pow.f64 l 10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/60) (pow.f64 l 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/60 (pow.f64 l 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/216000 (pow.f64 (pow.f64 l 5) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/60 (pow.f64 l 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/60 (pow.f64 l 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/60 (pow.f64 l 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 1/60 (pow.f64 l 5))) 1))))))

simplify224.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

924×	`distribute-rgt-in_binary64`
907×	`distribute-lft-in_binary64`
570×	`fma-def_binary64`
454×	`associate-l_binary64`
349×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	2105
1	237	1977
2	781	1788
3	3777	1730
4	7333	1730
5	7697	1730
6	7838	1730

Stop Event

1×	node limit

Counts

190 → 159

Calls

Call 1

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite177.0ms (1.1%)

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	2261	8

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

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 → 40

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
	0.0b	(.f64 2 (.f64 l J))
	0.1b	(.f64 1/3 (.f64 (pow.f64 l 3) J))
	4.9b	(*.f64 (pow.f64 l 3) J)

Compiler

Compiled 61 to 37 computations (39.3% saved)

series2.0ms (0%)

Counts

1 → 15

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	l	@	0	(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
0.0ms	J	@	-inf	(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
0.0ms	l	@	inf	(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
0.0ms	l	@	-inf	(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
0.0ms	J	@	0	(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`log-prod_binary64`
429×	`fma-def_binary64`
407×	`pow-prod-down_binary64`
310×	`pow2_binary64`
248×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	263	16
2	3246	14

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 l (*.f64 J 2)) 2) (*.f64 J (-.f64 (*.f64 2 l) (*.f64 1/3 (pow.f64 l 3))))) (/.f64 (*.f64 (pow.f64 (*.f64 l (cbrt.f64 J)) 6) 1/9) (*.f64 J (-.f64 (*.f64 2 l) (*.f64 1/3 (pow.f64 l 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 J (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))))) (pow.f64 (cbrt.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))))) 2) (cbrt.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))))) (sqrt.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (*.f64 l J) 3) 8 (*.f64 (pow.f64 (*.f64 l (cbrt.f64 J)) 9) 1/27)) (/.f64 1 (fma.f64 (*.f64 (pow.f64 l 3) (*.f64 J 1/3)) (-.f64 (*.f64 (pow.f64 l 3) (*.f64 J 1/3)) (*.f64 l (*.f64 J 2))) (pow.f64 (*.f64 l (*.f64 J 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 l (*.f64 J 2)) 2) (*.f64 (pow.f64 (*.f64 l (cbrt.f64 J)) 6) 1/9)) (/.f64 1 (*.f64 J (-.f64 (*.f64 2 l) (*.f64 1/3 (pow.f64 l 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (pow.f64 l 3) (*.f64 J 1/3)) (-.f64 (*.f64 (pow.f64 l 3) (*.f64 J 1/3)) (*.f64 l (*.f64 J 2))) (pow.f64 (*.f64 l (*.f64 J 2)) 2)) (fma.f64 (pow.f64 (*.f64 l J) 3) 8 (*.f64 (pow.f64 (*.f64 l (cbrt.f64 J)) 9) 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 J (-.f64 (*.f64 2 l) (*.f64 1/3 (pow.f64 l 3)))) (-.f64 (pow.f64 (*.f64 l (*.f64 J 2)) 2) (*.f64 (pow.f64 (*.f64 l (cbrt.f64 J)) 6) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 l J) 3) 8 (*.f64 (pow.f64 (*.f64 l (cbrt.f64 J)) 9) 1/27)) (fma.f64 (*.f64 (pow.f64 l 3) (*.f64 J 1/3)) (-.f64 (*.f64 (pow.f64 l 3) (*.f64 J 1/3)) (*.f64 l (*.f64 J 2))) (pow.f64 (*.f64 l (*.f64 J 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 l J) 3) 8 (*.f64 (pow.f64 (*.f64 l (cbrt.f64 J)) 9) 1/27)) (fma.f64 (pow.f64 (*.f64 l (cbrt.f64 J)) 6) 1/9 (-.f64 (pow.f64 (*.f64 l (*.f64 J 2)) 2) (*.f64 (*.f64 l (*.f64 J 2)) (*.f64 (pow.f64 l 3) (*.f64 J 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 l (*.f64 J 2)) 2) (*.f64 (pow.f64 (*.f64 l (cbrt.f64 J)) 6) 1/9)) (*.f64 J (-.f64 (*.f64 2 l) (*.f64 1/3 (pow.f64 l 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 l J) 3) 8 (*.f64 (pow.f64 (*.f64 l (cbrt.f64 J)) 9) 1/27))) (neg.f64 (fma.f64 (*.f64 (pow.f64 l 3) (*.f64 J 1/3)) (-.f64 (*.f64 (pow.f64 l 3) (*.f64 J 1/3)) (*.f64 l (*.f64 J 2))) (pow.f64 (*.f64 l (*.f64 J 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 l (*.f64 J 2)) 2) (*.f64 (pow.f64 (*.f64 l (cbrt.f64 J)) 6) 1/9))) (neg.f64 (*.f64 J (-.f64 (*.f64 2 l) (*.f64 1/3 (pow.f64 l 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (*.f64 l (cbrt.f64 J)) 6) 1/9) (pow.f64 (*.f64 l (*.f64 J 2)) 2)) (-.f64 (*.f64 (pow.f64 l 3) (*.f64 J 1/3)) (*.f64 l (*.f64 J 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 l 3) (*.f64 J 1/3)) (-.f64 (*.f64 (pow.f64 l 3) (*.f64 J 1/3)) (*.f64 l (*.f64 J 2))) (pow.f64 (*.f64 l (*.f64 J 2)) 2)) (fma.f64 (pow.f64 (*.f64 l J) 3) 8 (*.f64 (pow.f64 (*.f64 l (cbrt.f64 J)) 9) 1/27))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 J (-.f64 (*.f64 2 l) (*.f64 1/3 (pow.f64 l 3)))) (-.f64 (pow.f64 (*.f64 l (*.f64 J 2)) 2) (*.f64 (pow.f64 (*.f64 l (cbrt.f64 J)) 6) 1/9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 J) (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 l (*.f64 J 2)))) (cbrt.f64 (pow.f64 (exp.f64 J) (pow.f64 l 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 l) J) 2) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 l 3) (*.f64 J 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 l (*.f64 J 2)))) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 l 3) (*.f64 J 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))) (pow.f64 (pow.f64 (exp.f64 l) J) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (pow.f64 l 3))) (+.f64 1 (expm1.f64 (*.f64 l (*.f64 J 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))) (+.f64 1 (expm1.f64 (*.f64 l (*.f64 J 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 J (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 l J) (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 l (*.f64 J 2) (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 J (*.f64 2 l) (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 J (*.f64 1/3 (pow.f64 l 3)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l J) 2 (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l (*.f64 J 2)) 1 (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 J (pow.f64 l 3)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 l 3) (*.f64 J 1/3) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 J (pow.f64 l 3)) 1/3 (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 l 3) (*.f64 J 1/3)) 1 (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 l (*.f64 J 2)) (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 l 3) (*.f64 J 1/3)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 l (cbrt.f64 J)) (cbrt.f64 1/3)) (pow.f64 (*.f64 (*.f64 l (cbrt.f64 J)) (cbrt.f64 1/3)) 2) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 l (cbrt.f64 J)) (cbrt.f64 1/3)) 2) (*.f64 (*.f64 l (cbrt.f64 J)) (cbrt.f64 1/3)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 l J)) 2) (*.f64 (cbrt.f64 (*.f64 l J)) 2) (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 l (*.f64 J 2))) (pow.f64 (cbrt.f64 (*.f64 l (*.f64 J 2))) 2) (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 l (*.f64 J 2))) 2) (cbrt.f64 (*.f64 l (*.f64 J 2))) (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 l (cbrt.f64 J)) 2) (*.f64 (*.f64 l (cbrt.f64 J)) 1/3) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (pow.f64 l 3) (*.f64 J 1/3))) (sqrt.f64 (*.f64 (pow.f64 l 3) (*.f64 J 1/3))) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 l J)) (*.f64 (sqrt.f64 (*.f64 l J)) 2) (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 l (*.f64 J 2))) (sqrt.f64 (*.f64 l (*.f64 J 2))) (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 J) (pow.f64 l 3/2)) (*.f64 (*.f64 (sqrt.f64 J) (pow.f64 l 3/2)) 1/3) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 l) J (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (pow.f64 l 3)) J (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 J) (pow.f64 l 3) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (pow.f64 (*.f64 l (cbrt.f64 J)) 2)) (*.f64 l (cbrt.f64 J)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (*.f64 (sqrt.f64 J) (pow.f64 l 3/2))) (*.f64 (sqrt.f64 J) (pow.f64 l 3/2)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (pow.f64 l 3)) 1) J (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (pow.f64 l 3)) (pow.f64 (cbrt.f64 J) 2)) (cbrt.f64 J) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (pow.f64 l 3)) (sqrt.f64 J)) (sqrt.f64 J) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 J) l (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 (*.f64 l J)) 2)) (cbrt.f64 (*.f64 l J)) (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (*.f64 l J))) (sqrt.f64 (*.f64 l J)) (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 l) 1) J (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 l) (pow.f64 (cbrt.f64 J) 2)) (cbrt.f64 J) (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 l) (sqrt.f64 J)) (sqrt.f64 J) (*.f64 (pow.f64 l 3) (*.f64 J 1/3)))))))

simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1364×	`fma-def_binary64`
842×	`fma-neg_binary64`
351×	`distribute-rgt-neg-in_binary64`
331×	`unswap-sqr_binary64`
273×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	195
1	50	195
2	140	195
3	480	195
4	1298	195
5	1984	195
6	3093	195
7	4462	195
8	5951	195
9	6398	195
10	6564	195
11	6783	195

Stop Event

1×	node limit

Counts

91 → 83

Calls

Call 1

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

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

localize58.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	5.3b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
✓	7.5b	(.f64 J (.f64 K (*.f64 K -1/8)))
✓	14.8b	(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 J (.f64 J (.f64 K (.f64 K -1/8)))))

Compiler

Compiled 80 to 36 computations (55% saved)

series11.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	l	@	0	(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 J (.f64 J (.f64 K (.f64 K -1/8)))))
1.0ms	J	@	0	(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 J (.f64 J (.f64 K (.f64 K -1/8)))))
1.0ms	J	@	inf	(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 J (.f64 J (.f64 K (.f64 K -1/8)))))
1.0ms	l	@	inf	(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 J (.f64 J (.f64 K (.f64 K -1/8)))))
1.0ms	K	@	inf	(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 J (.f64 J (.f64 K (.f64 K -1/8)))))

rewrite133.0ms (0.8%)

Algorithm

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

Rules

667×	`pow1_binary64`
616×	`add-log-exp_binary64`
616×	`log1p-expm1-u_binary64`
616×	`expm1-log1p-u_binary64`
603×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	308	31
2	5432	31
0	14	21
1	308	21
2	5432	21
0	14	21
0	7	10
1	142	10
2	1683	10

Stop Event

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

Counts

2 → 21

Calls

Call 1

Inputs
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 J (.f64 J (.f64 K (.f64 K -1/8)))))
(.f64 J (.f64 K (*.f64 K -1/8)))

Outputs

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

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

simplify88.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

679×	`associate-+l+_binary64`
465×	`associate-+r+_binary64`
457×	`associate-l_binary64`
422×	`distribute-rgt-in_binary64`
414×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	1230
1	177	1110
2	678	1078
3	3655	1078
4	7795	1078

Stop Event

1×	node limit

Counts

81 → 41

Calls

Call 1

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

Outputs
(.f64 2 (.f64 l (+.f64 J (.f64 -1/8 (.f64 (pow.f64 K 2) J)))))
(.f64 2 (.f64 l (+.f64 J (.f64 -1/8 (.f64 J (*.f64 K K))))))
(.f64 2 (.f64 l (.f64 (fma.f64 -1/8 (.f64 K K) 1) J)))
(.f64 (fma.f64 -1/8 (.f64 K K) 1) (.f64 l (.f64 J 2)))
(.f64 2 (.f64 J (.f64 (fma.f64 -1/8 (.f64 K K) 1) l)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (+.f64 J (.f64 -1/8 (.f64 (pow.f64 K 2) J))))) (.f64 2 (.f64 l (+.f64 J (.f64 -1/8 (.f64 (pow.f64 K 2) J))))))
(fma.f64 1/3 (.f64 (+.f64 J (.f64 -1/8 (.f64 J (.f64 K K)))) (pow.f64 l 3)) (.f64 2 (.f64 l (+.f64 J (.f64 -1/8 (.f64 J (*.f64 K K)))))))
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(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))
(.f64 -1/8 (.f64 (pow.f64 K 2) J))
(.f64 -1/8 (.f64 J (*.f64 K K)))
(.f64 K (.f64 (*.f64 -1/8 K) J))

localize31.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (.f64 J l) (.f64 (cos.f64 (*.f64 1/2 K)) 2) U)
✓	1.6b	(expm1.f64 (log1p.f64 (fma.f64 (.f64 J l) (.f64 (cos.f64 (*.f64 1/2 K)) 2) U)))

Compiler

Compiled 62 to 38 computations (38.7% saved)

series40.0ms (0.2%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
29.0ms	J	@	0	(fma.f64 (.f64 J l) (.f64 (cos.f64 (*.f64 1/2 K)) 2) U)
1.0ms	J	@	0	(expm1.f64 (log1p.f64 (fma.f64 (.f64 J l) (.f64 (cos.f64 (*.f64 1/2 K)) 2) U)))
1.0ms	K	@	inf	(expm1.f64 (log1p.f64 (fma.f64 (.f64 J l) (.f64 (cos.f64 (*.f64 1/2 K)) 2) U)))
1.0ms	K	@	-inf	(expm1.f64 (log1p.f64 (fma.f64 (.f64 J l) (.f64 (cos.f64 (*.f64 1/2 K)) 2) U)))
1.0ms	J	@	-inf	(expm1.f64 (log1p.f64 (fma.f64 (.f64 J l) (.f64 (cos.f64 (*.f64 1/2 K)) 2) U)))

rewrite96.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`log-prod_binary64`
343×	`pow-prod-down_binary64`
323×	`pow2_binary64`
240×	`prod-diff_binary64`
228×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	259	32
2	2914	32

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (fma.f64 (.f64 J l) (.f64 (cos.f64 (*.f64 1/2 K)) 2) U)))
(fma.f64 (.f64 J l) (.f64 (cos.f64 (*.f64 1/2 K)) 2) U)

Outputs

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

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

simplify308.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	1498
1	107	1482
2	331	1450
3	1203	1450
4	1773	1450
5	2382	1450
6	2569	1450
7	2698	1450
8	2832	1450
9	3007	1450
10	3249	1450
11	4949	1450
12	5514	1450
13	6167	1450
14	6897	1450
15	7419	1450
16	7851	1450

Stop Event

1×	node limit

Counts

191 → 72

Calls

Call 1

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

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

eval421.0ms (2.6%)

Compiler: Compiled 10816 to 7120 computations (34.2% saved)

prune128.0ms (0.8%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	457	11	468
Fresh	4	5	9
Picked	1	0	1
Done	4	3	7
Total	466	19	485

Error

0.2b

Counts

485 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	52.8b	(.f64 2 (.f64 l J))
▶	44.2b	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
▶	0.7b	(+.f64 (pow.f64 (.f64 J (pow.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))) 3)) 1) U)
	1.1b	(+.f64 (.f64 J (.f64 l (.f64 2 (cos.f64 (.f64 1/2 K))))) U)
	26.0b	(+.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 J l) (.f64 (cos.f64 (.f64 1/2 K)) 2))) 2) U)
	27.6b	(+.f64 (.f64 (.f64 2 l) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
	1.4b	(+.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 J l) (.f64 (cos.f64 (.f64 1/2 K)) 2))) 3) U)
	10.0b	(+.f64 (.f64 l (.f64 J (fma.f64 l (*.f64 l 1/3) 2))) U)
	10.2b	(fma.f64 (*.f64 J 2) l U)
	0.8b	(+.f64 (.f64 (.f64 J l) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 2 (.f64 1/3 (.f64 l l))))) U)
	19.6b	U
▶	9.9b	(+.f64 (.f64 (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (pow.f64 l 2)))) (.f64 1/60 (pow.f64 l 5))) J) U)
	29.9b	(fma.f64 (.f64 (.f64 l 2) (sqrt.f64 (.f64 J (cos.f64 (.f64 1/2 K))))) (sqrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) U)
	18.7b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
	29.6b	(+.f64 (.f64 (fma.f64 l (fma.f64 1/3 (.f64 l l) 2) (.f64 1/60 (pow.f64 l 5))) (+.f64 J (.f64 (.f64 K (.f64 K J)) (+.f64 (.f64 1/384 (.f64 K K)) -1/8)))) U)
✓	0.3b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
✓	10.2b	(+.f64 (.f64 l (.f64 J 2)) U)
✓	1.0b	(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
▶	27.1b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)

Compiler

Compiled 613 to 455 computations (25.8% saved)

localize110.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2)))
✓	0.3b	(.f64 J (pow.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))) 3))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))))) 3)
✓	0.9b	(cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))))

Compiler

Compiled 107 to 75 computations (29.9% saved)

series167.0ms (1%)

Counts

4 → 100

Calls

27 calls:

Time	Variable		Point	Expression
113.0ms	J	@	inf	(.f64 J (pow.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))) 3))
7.0ms	K	@	0	(pow.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))))) 3)
6.0ms	l	@	0	(pow.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))))) 3)
5.0ms	J	@	0	(.f64 J (pow.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))) 3))
4.0ms	K	@	0	(cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))))

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

675×	`log-prod_binary64`
414×	`pow-prod-down_binary64`
346×	`pow2_binary64`
291×	`pow-unpow_binary64`
244×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	312	58
2	3370	58

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

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

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

simplify143.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

464×	`distribute-rgt-in_binary64`
462×	`distribute-lft-in_binary64`
402×	`times-frac_binary64`
393×	`associate-+l+_binary64`
345×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	3463
1	638	3344
2	2439	3133

Stop Event

1×	node limit

Counts

202 → 158

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
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(+.f64 (.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/768 (*.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(+.f64 (.f64 -1/92160 (.f64 (pow.f64 K 6) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (+.f64 (.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/768 (*.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))

Outputs
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 1/2)) (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (.f64 (cbrt.f64 2) (cbrt.f64 1/2))) (.f64 -1/48 (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (/.f64 (*.f64 (pow.f64 K 2) (cbrt.f64 2)) (pow.f64 (cbrt.f64 1/2) 2)))))
(fma.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)) (.f64 -1/48 (.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 (.f64 K K) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (cbrt.f64 2))))))
(fma.f64 (.f64 (cbrt.f64 2) (cbrt.f64 1/2)) (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (.f64 (/.f64 (*.f64 K K) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 2)) -1/48)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (+.f64 (.f64 (cbrt.f64 2) (cbrt.f64 1/2)) (.f64 -1/48 (/.f64 (.f64 K (*.f64 K (cbrt.f64 2))) (pow.f64 (cbrt.f64 1/2) 2)))))
(+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (.f64 (cbrt.f64 2) (cbrt.f64 1/2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2)) 1/3) (/.f64 (.f64 (pow.f64 K 4) (.f64 (cbrt.f64 2) (-.f64 (.f64 1/768 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 1/384 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 -1/48 (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (/.f64 (*.f64 (pow.f64 K 2) (cbrt.f64 2)) (pow.f64 (cbrt.f64 1/2) 2))))))
(fma.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2))) (/.f64 (.f64 (pow.f64 K 4) (.f64 (cbrt.f64 2) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) -1/768))) (pow.f64 (cbrt.f64 1/2) 2))) (.f64 -1/48 (.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 (.f64 K K) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (cbrt.f64 2)))))))
(fma.f64 (.f64 (cbrt.f64 2) (cbrt.f64 1/2)) (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2))) (.f64 (/.f64 (pow.f64 K 4) (pow.f64 (cbrt.f64 1/2) 2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 -1/768 (cbrt.f64 2))))) (.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (.f64 (/.f64 (*.f64 K K) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 2)) -1/48))))
(+.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (+.f64 (.f64 (cbrt.f64 2) (cbrt.f64 1/2)) (.f64 -1/48 (/.f64 (.f64 K (.f64 K (cbrt.f64 2))) (pow.f64 (cbrt.f64 1/2) 2))))) (.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2))) (/.f64 (cbrt.f64 2) (/.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 1/2) 2) -1/768) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (pow.f64 K 4))))))
(+.f64 (.f64 1/3 (.f64 (/.f64 (.f64 (-.f64 (.f64 -1/92160 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (+.f64 (.f64 -1/12 (-.f64 (.f64 1/768 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 1/384 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (.f64 -1/110592 (/.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (pow.f64 (cbrt.f64 1/2) 6))))) (.f64 (cbrt.f64 2) (pow.f64 K 6))) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2)) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (.f64 (cbrt.f64 2) (cbrt.f64 1/2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2)) 1/3) (/.f64 (.f64 (pow.f64 K 4) (.f64 (cbrt.f64 2) (-.f64 (.f64 1/768 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 1/384 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 -1/48 (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3) (/.f64 (.f64 (pow.f64 K 2) (cbrt.f64 2)) (pow.f64 (cbrt.f64 1/2) 2)))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2))) (/.f64 (-.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) -1/92160) (fma.f64 -1/12 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) -1/768) (.f64 -1/110592 (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (pow.f64 (cbrt.f64 1/2) 6))))) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (.f64 (cbrt.f64 2) (pow.f64 K 6))))) (fma.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2))) (/.f64 (.f64 (pow.f64 K 4) (.f64 (cbrt.f64 2) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) -1/768))) (pow.f64 (cbrt.f64 1/2) 2))) (.f64 -1/48 (.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 (*.f64 K K) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (cbrt.f64 2))))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2))) (.f64 (/.f64 (-.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) -1/92160) (fma.f64 -1/110592 (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 1/4) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 1/9216))) (pow.f64 (cbrt.f64 1/2) 2)) (.f64 (cbrt.f64 2) (pow.f64 K 6)))) (fma.f64 (.f64 (cbrt.f64 2) (cbrt.f64 1/2)) (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2))) (.f64 (/.f64 (pow.f64 K 4) (pow.f64 (cbrt.f64 1/2) 2)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 -1/768 (cbrt.f64 2))))) (.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 (.f64 (/.f64 (.f64 K K) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 2)) -1/48)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2))) (.f64 (/.f64 (-.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) -11/92160) (.f64 -1/27648 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (pow.f64 (cbrt.f64 1/2) 2)) (.f64 (cbrt.f64 2) (pow.f64 K 6)))) (+.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (+.f64 (.f64 (cbrt.f64 2) (cbrt.f64 1/2)) (.f64 -1/48 (/.f64 (.f64 K (.f64 K (cbrt.f64 2))) (pow.f64 (cbrt.f64 1/2) 2))))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2))) (/.f64 (cbrt.f64 2) (/.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 1/2) 2) -1/768) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (pow.f64 K 4)))))))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 -1/24 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))) (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
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(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 1/2 (cos.f64 (*.f64 1/2 K))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 1/2 (cos.f64 (*.f64 1/2 K))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 1/2 (cos.f64 (*.f64 1/2 K))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 1/2 (cos.f64 (*.f64 1/2 K))))
(*.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 1/2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 -1/16 (*.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))
(fma.f64 1/2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 -1/16 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 K K))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 1/2 (.f64 (*.f64 K K) -1/16)))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/768 (*.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))
(fma.f64 1/2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 -1/16 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 K K)) (.f64 1/768 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (pow.f64 K 4)))))
(fma.f64 1/2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 (.f64 (.f64 K K) -1/16) (.f64 (pow.f64 K 4) 1/768))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 1/2 (+.f64 (.f64 (.f64 K K) -1/16) (.f64 (pow.f64 K 4) 1/768))))
(+.f64 (.f64 -1/92160 (.f64 (pow.f64 K 6) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (+.f64 (.f64 1/2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/768 (*.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))))
(fma.f64 -1/92160 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (pow.f64 K 6)) (fma.f64 1/2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 -1/16 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 K K)) (.f64 1/768 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (pow.f64 K 4))))))
(+.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 (.f64 (.f64 K K) -1/16) (.f64 (pow.f64 K 4) 1/768))) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 (.f64 -1/92160 (pow.f64 K 6)) 1/2)))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 (+.f64 (.f64 (.f64 K K) -1/16) (.f64 (pow.f64 K 4) 1/768)) (+.f64 (*.f64 -1/92160 (pow.f64 K 6)) 1/2)))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 1/2 (cos.f64 (*.f64 1/2 K))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 1/2 (cos.f64 (*.f64 1/2 K))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 1/2 (cos.f64 (*.f64 1/2 K))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 1/2 (cos.f64 (*.f64 1/2 K))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 1/2 (cos.f64 (*.f64 1/2 K))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 1/2 (cos.f64 (*.f64 1/2 K))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 1/2 (cos.f64 (*.f64 1/2 K))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 1/2 (cos.f64 (*.f64 1/2 K))))

localize6.0ms (0%)

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)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 20 computations (41.2% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite65.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify198.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 9 (0.0ms)

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

Stop Event

1×	node limit

Counts

68 → 42

Calls

Call 1

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

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

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 l)
✓	0.0b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
✓	6.6b	(.f64 (.f64 2 (sinh.f64 l)) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8)))))
	7.5b	(.f64 J (.f64 K (*.f64 K -1/8)))

Compiler

Compiled 70 to 40 computations (42.9% saved)

series124.0ms (0.7%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
111.0ms	J	@	0	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
1.0ms	l	@	inf	(.f64 (.f64 2 (sinh.f64 l)) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8)))))
1.0ms	U	@	0	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
1.0ms	J	@	-inf	(.f64 (.f64 2 (sinh.f64 l)) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8)))))
1.0ms	l	@	0	(.f64 (.f64 2 (sinh.f64 l)) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8)))))

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`log-prod_binary64`
704×	`fma-def_binary64`
324×	`fma-neg_binary64`
302×	`expm1-udef_binary64`
302×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	334	39
2	4727	39

Stop Event

1×	node limit

Counts

2 → 149

Calls

Call 1

Inputs
(.f64 (.f64 2 (sinh.f64 l)) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8)))))
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)

Outputs

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

simplify139.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

463×	`associate-l_binary64`
435×	`fma-def_binary64`
421×	`distribute-rgt-in_binary64`
414×	`associate-r_binary64`
402×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	1997
1	248	1937
2	786	1888
3	3959	1888
4	7144	1888

Stop Event

1×	node limit

Counts

233 → 182

Calls

Call 1

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

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

localize94.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (pow.f64 l 2)))) (.f64 1/60 (pow.f64 l 5))) J)
✓	0.0b	(.f64 l (+.f64 2 (.f64 1/3 (pow.f64 l 2))))
	0.1b	(*.f64 1/60 (pow.f64 l 5))
✓	0.2b	(*.f64 1/3 (pow.f64 l 2))

Compiler

Compiled 94 to 72 computations (23.4% saved)

series8.0ms (0.1%)

Counts

3 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	J	@	inf	(.f64 (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (pow.f64 l 2)))) (.f64 1/60 (pow.f64 l 5))) J)
1.0ms	J	@	-inf	(.f64 (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (pow.f64 l 2)))) (.f64 1/60 (pow.f64 l 5))) J)
1.0ms	l	@	inf	(.f64 l (+.f64 2 (.f64 1/3 (pow.f64 l 2))))
1.0ms	l	@	-inf	(.f64 l (+.f64 2 (.f64 1/3 (pow.f64 l 2))))
1.0ms	l	@	inf	(.f64 (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (pow.f64 l 2)))) (.f64 1/60 (pow.f64 l 5))) J)

rewrite115.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`log-prod_binary64`
523×	`fma-def_binary64`
283×	`expm1-udef_binary64`
283×	`log1p-udef_binary64`
258×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	338	39
2	4327	39

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 l 2))
(.f64 l (+.f64 2 (.f64 1/3 (pow.f64 l 2))))
(.f64 (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (pow.f64 l 2)))) (.f64 1/60 (pow.f64 l 5))) J)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l 2) (*.f64 1/3 (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 l 3)) (*.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 l 2) 1) (*.f64 (*.f64 1/3 (pow.f64 l 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))))) (cbrt.f64 (exp.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 l 2) 3) (pow.f64 (*.f64 1/3 (pow.f64 l 3)) 3)) (fma.f64 (*.f64 l 2) (*.f64 l 2) (-.f64 (*.f64 (*.f64 1/3 (pow.f64 l 3)) (*.f64 1/3 (pow.f64 l 3))) (*.f64 (*.f64 l 2) (*.f64 1/3 (pow.f64 l 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 l 2) (*.f64 l 2)) (*.f64 (*.f64 1/3 (pow.f64 l 3)) (*.f64 1/3 (pow.f64 l 3)))) (-.f64 (*.f64 l 2) (*.f64 1/3 (pow.f64 l 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 l l) 3) 1/27 8) l) (fma.f64 (*.f64 1/3 (*.f64 l l)) (fma.f64 1/3 (*.f64 l l) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 (pow.f64 l 4) 1/9)) l) (+.f64 2 (*.f64 -1/3 (*.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (fma.f64 (pow.f64 (*.f64 l l) 3) 1/27 8)) (fma.f64 (*.f64 1/3 (*.f64 l l)) (fma.f64 1/3 (*.f64 l l) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (-.f64 4 (*.f64 (pow.f64 l 4) 1/9))) (+.f64 2 (*.f64 -1/3 (*.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 1/3 (pow.f64 l 3))) (exp.f64 (*.f64 l 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 l (*.f64 1/3 (*.f64 l l)) (*.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l l) (*.f64 1/3 l) (*.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (*.f64 l l)) l (*.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 l 2) (*.f64 1/3 (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (pow.f64 l 3)) (*.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 l 3) 1/3 (*.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 l 4) 1/9)) (*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 l l))) l) (*.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (*.f64 1/3 (*.f64 l l))) (*.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) 2) (*.f64 1/3 (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l (sqrt.f64 1/3)) (*.f64 (*.f64 l (sqrt.f64 1/3)) l) (*.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (*.f64 1/3 (*.f64 l l))) (*.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) 2) (*.f64 1/3 (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l 2) 1 (*.f64 (*.f64 1/3 (pow.f64 l 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 l 2)) (cbrt.f64 (*.f64 l 2))) (cbrt.f64 (*.f64 l 2)) (*.f64 1/3 (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 l 3))) (cbrt.f64 (*.f64 1/3 (pow.f64 l 3)))) (cbrt.f64 (*.f64 1/3 (pow.f64 l 3))) (*.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 l 2)) (sqrt.f64 (*.f64 l 2)) (*.f64 1/3 (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 (pow.f64 l 3))) (sqrt.f64 (*.f64 1/3 (pow.f64 l 3))) (*.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 l) (*.f64 l (sqrt.f64 1/3))) (*.f64 (sqrt.f64 l) (*.f64 l (sqrt.f64 1/3))) (*.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 l (sqrt.f64 1/3)) (sqrt.f64 l)) (*.f64 (*.f64 l (sqrt.f64 1/3)) (sqrt.f64 l)) (*.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l 1/3) (*.f64 l l) (*.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l (cbrt.f64 (*.f64 (pow.f64 l 4) 1/9))) (cbrt.f64 (*.f64 1/3 (*.f64 l l))) (*.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l (*.f64 l (sqrt.f64 1/3))) (*.f64 l (sqrt.f64 1/3)) (*.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l) (*.f64 1/3 (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 l)) (sqrt.f64 l) (*.f64 1/3 (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (*.f64 l l)) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l) (*.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (*.f64 l l)) (sqrt.f64 l)) (sqrt.f64 l) (*.f64 l 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))) J))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))) J) (*.f64 (*.f64 1/60 (pow.f64 l 5)) J))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/60 (pow.f64 l 5)) J) (*.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))) J))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 J (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))) (*.f64 J (*.f64 1/60 (pow.f64 l 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 J (*.f64 1/60 (pow.f64 l 5))) (*.f64 J (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))))) (cbrt.f64 (pow.f64 (exp.f64 J) (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))) J))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/216000 (pow.f64 (pow.f64 l 5) 3) (pow.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))) 3)) J) (fma.f64 (*.f64 1/60 (pow.f64 l 5)) (fma.f64 1/60 (pow.f64 l 5) (neg.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))))) (pow.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))) 2) (*.f64 1/3600 (pow.f64 l 10))) J) (fma.f64 l (fma.f64 1/3 (*.f64 l l) 2) (*.f64 -1/60 (pow.f64 l 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 J (fma.f64 1/216000 (pow.f64 (pow.f64 l 5) 3) (pow.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))) 3))) (fma.f64 (*.f64 1/60 (pow.f64 l 5)) (fma.f64 1/60 (pow.f64 l 5) (neg.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))))) (pow.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 J (-.f64 (pow.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))) 2) (*.f64 1/3600 (pow.f64 l 10)))) (fma.f64 l (fma.f64 1/3 (*.f64 l l) 2) (*.f64 -1/60 (pow.f64 l 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))) J) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))) J) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))) J)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))) J)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))) J) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 J) (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))) J))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))) J) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))) 3) (pow.f64 J 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 J 3) (pow.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))) J)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))) J)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))) J)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))) J)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))) J (*.f64 (*.f64 1/60 (pow.f64 l 5)) J))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/60 (pow.f64 l 5)) J (*.f64 (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))) J))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 J (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))) (*.f64 J (*.f64 1/60 (pow.f64 l 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 J (*.f64 1/60 (pow.f64 l 5)) (*.f64 J (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3)))))))))

simplify203.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

788×	`sqr-pow_binary64`
682×	`fma-def_binary64`
610×	`associate-l_binary64`
528×	`cube-prod_binary64`
479×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	363
1	54	352
2	137	330
3	392	318
4	880	318
5	2151	318
6	2948	318
7	3602	318
8	3718	318
9	3890	318
10	4109	318
11	4441	318
12	4901	318
13	5502	318
14	6251	318
15	7187	318
16	7697	318

Stop Event

1×	node limit

Counts

125 → 115

Calls

Call 1

Inputs
(*.f64 2 l)
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
(*.f64 1/3 (pow.f64 l 3))
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
(*.f64 1/3 (pow.f64 l 3))
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
(.f64 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 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J))))
(.f64 1/60 (.f64 (pow.f64 l 5) 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 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J))))
(.f64 1/60 (.f64 (pow.f64 l 5) 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 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J))))

Outputs
(*.f64 2 l)
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
(fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l))
(fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))
(.f64 l (fma.f64 l (.f64 l 1/3) 2))
(.f64 l (fma.f64 1/3 (.f64 l l) 2))
(+.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 l (fma.f64 l (.f64 l 1/3) 2))
(.f64 l (fma.f64 1/3 (.f64 l l) 2))
(+.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 l (fma.f64 l (.f64 l 1/3) 2))
(.f64 l (fma.f64 1/3 (.f64 l l) 2))
(*.f64 1/3 (pow.f64 l 3))
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
(fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l))
(fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))
(.f64 l (fma.f64 l (.f64 l 1/3) 2))
(.f64 l (fma.f64 1/3 (.f64 l l) 2))
(+.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 l (fma.f64 l (.f64 l 1/3) 2))
(.f64 l (fma.f64 1/3 (.f64 l l) 2))
(+.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 l (fma.f64 l (.f64 l 1/3) 2))
(.f64 l (fma.f64 1/3 (.f64 l l) 2))
(*.f64 1/3 (pow.f64 l 3))
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
(fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l))
(fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))
(.f64 l (fma.f64 l (.f64 l 1/3) 2))
(.f64 l (fma.f64 1/3 (.f64 l l) 2))
(+.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 l (fma.f64 l (.f64 l 1/3) 2))
(.f64 l (fma.f64 1/3 (.f64 l l) 2))
(+.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 l (fma.f64 l (.f64 l 1/3) 2))
(.f64 l (fma.f64 1/3 (.f64 l l) 2))
(.f64 2 (.f64 l J))
(.f64 l (.f64 2 J))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(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 1/3 (pow.f64 l 3) (.f64 2 l)) J)
(.f64 (.f64 l J) (fma.f64 l (*.f64 l 1/3) 2))
(.f64 (fma.f64 2 l (.f64 1/3 (pow.f64 l 3))) J)
(.f64 l (.f64 J (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 (pow.f64 l 3) J) (.f64 1/60 (.f64 J (pow.f64 l 5)))))
(+.f64 (.f64 J (fma.f64 2 l (.f64 1/3 (pow.f64 l 3)))) (.f64 1/60 (.f64 J (pow.f64 l 5))))
(.f64 J (+.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (*.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 (.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 J (pow.f64 l 5)))))
(+.f64 (.f64 J (fma.f64 2 l (.f64 1/3 (pow.f64 l 3)))) (.f64 1/60 (.f64 J (pow.f64 l 5))))
(.f64 J (+.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (*.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 1/60 (.f64 (pow.f64 l 5) J))
(.f64 1/60 (.f64 J (pow.f64 l 5)))
(.f64 J (.f64 1/60 (pow.f64 l 5)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J)))
(fma.f64 1/3 (.f64 (pow.f64 l 3) J) (.f64 1/60 (*.f64 J (pow.f64 l 5))))
(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/60 (pow.f64 l 5))))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 1/60 (pow.f64 l 5))))
(+.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 J (pow.f64 l 5)))))
(+.f64 (.f64 J (fma.f64 2 l (.f64 1/3 (pow.f64 l 3)))) (.f64 1/60 (.f64 J (pow.f64 l 5))))
(.f64 J (+.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (*.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 (.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 J (pow.f64 l 5)))))
(+.f64 (.f64 J (fma.f64 2 l (.f64 1/3 (pow.f64 l 3)))) (.f64 1/60 (.f64 J (pow.f64 l 5))))
(.f64 J (+.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (*.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 1/60 (.f64 (pow.f64 l 5) J))
(.f64 1/60 (.f64 J (pow.f64 l 5)))
(.f64 J (.f64 1/60 (pow.f64 l 5)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J)))
(fma.f64 1/3 (.f64 (pow.f64 l 3) J) (.f64 1/60 (*.f64 J (pow.f64 l 5))))
(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/60 (pow.f64 l 5))))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 1/60 (pow.f64 l 5))))
(+.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 J (pow.f64 l 5)))))
(+.f64 (.f64 J (fma.f64 2 l (.f64 1/3 (pow.f64 l 3)))) (.f64 1/60 (.f64 J (pow.f64 l 5))))
(.f64 J (+.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (*.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 (.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 J (pow.f64 l 5)))))
(+.f64 (.f64 J (fma.f64 2 l (.f64 1/3 (pow.f64 l 3)))) (.f64 1/60 (.f64 J (pow.f64 l 5))))
(.f64 J (+.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (*.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)))))

eval1.2s (7.5%)

Compiler: Compiled 14796 to 9818 computations (33.6% saved)

prune297.0ms (1.8%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	591	6	597
Fresh	3	8	11
Picked	1	0	1
Done	2	5	7
Total	597	19	616

Error

0.2b

Counts

616 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(+.f64 (.f64 (.f64 J l) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 2 (.f64 1/3 (.f64 l l))))) U)
	54.5b	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))) 2)
	19.6b	U
	44.5b	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))) 3)
✓	52.8b	(.f64 2 (.f64 l J))
✓	44.2b	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
	29.6b	(+.f64 (.f64 (fma.f64 l (fma.f64 1/3 (.f64 l l) 2) (.f64 1/60 (pow.f64 l 5))) (+.f64 J (.f64 (.f64 K (.f64 K J)) (+.f64 (.f64 1/384 (.f64 K K)) -1/8)))) U)
	27.6b	(+.f64 (.f64 (.f64 2 l) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
✓	0.3b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
	9.9b	(+.f64 (.f64 (+.f64 (.f64 l (+.f64 2 (+.f64 0 (.f64 1/3 (.f64 l l))))) (*.f64 1/60 (pow.f64 l 5))) J) U)
	44.1b	(.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2)))))
	1.5b	(+.f64 (pow.f64 (.f64 J (pow.f64 (cbrt.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l))) 3)) 1) U)
✓	10.2b	(+.f64 (.f64 l (.f64 J 2)) U)
	10.0b	(+.f64 (.f64 l (.f64 J (fma.f64 l (*.f64 l 1/3) 2))) U)
	10.2b	(fma.f64 (*.f64 J 2) l U)
	29.9b	(fma.f64 (.f64 (.f64 l 2) (sqrt.f64 (.f64 J (cos.f64 (.f64 1/2 K))))) (sqrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) U)
	18.7b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
✓	27.1b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
	1.1b	(+.f64 (.f64 J (.f64 l (.f64 2 (cos.f64 (.f64 1/2 K))))) U)

Compiler

Compiled 326 to 243 computations (25.5% saved)

regimes257.0ms (1.6%)

Counts

39 → 1

Calls

Call 1

Inputs
U
U
(.f64 2 (.f64 l J))
(+.f64 (.f64 l (.f64 J 2)) U)
(+.f64 (.f64 (.f64 2 l) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
(+.f64 (.f64 (.f64 2 l) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
(fma.f64 (*.f64 J 2) l U)
(fma.f64 J (*.f64 2 l) U)
(.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2)))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(+.f64 (.f64 J (.f64 l (.f64 2 (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 l (.f64 J (fma.f64 l (*.f64 l 1/3) 2))) U)
(+.f64 (.f64 (.f64 J (*.f64 2 l)) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (+.f64 0 (.f64 J (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2))))) U)
(+.f64 (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J))) U)
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
(+.f64 (.f64 (.f64 J l) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 2 (.f64 1/3 (.f64 l l))))) U)
(+.f64 (.f64 (+.f64 (.f64 l (+.f64 2 (+.f64 0 (.f64 1/3 (.f64 l l))))) (*.f64 1/60 (pow.f64 l 5))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 J (.f64 J (.f64 K (.f64 K -1/8))))) U)
(+.f64 (.f64 (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (pow.f64 l 2)))) (.f64 1/60 (pow.f64 l 5))) J) U)
(+.f64 (.f64 (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (*.f64 (pow.f64 l 3) J))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (*.f64 1/60 (pow.f64 l 5))))) U)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))) 3)
(+.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 J l) (.f64 (cos.f64 (.f64 1/2 K)) 2))) 2) U)
(+.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 J l) (.f64 (cos.f64 (.f64 1/2 K)) 2))) 3) U)
(+.f64 (pow.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (.f64 K 1/2)))) 1) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (*.f64 (pow.f64 l 5) J)))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (fma.f64 l (fma.f64 1/3 (.f64 l l) 2) (.f64 1/60 (pow.f64 l 5))) (+.f64 J (.f64 (.f64 K (.f64 K J)) (+.f64 (.f64 1/384 (.f64 K K)) -1/8)))) U)
(expm1.f64 (log1p.f64 (fma.f64 (.f64 J l) (.f64 (cos.f64 (*.f64 1/2 K)) 2) U)))
(+.f64 (pow.f64 (.f64 J (pow.f64 (cbrt.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l))) 3)) 1) U)
(+.f64 (pow.f64 (.f64 J (pow.f64 (cbrt.f64 (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))) 3)) 1) U)
(fma.f64 (.f64 (.f64 l 2) (sqrt.f64 (.f64 J (cos.f64 (.f64 1/2 K))))) (sqrt.f64 (.f64 J (cos.f64 (.f64 1/2 K)))) U)
(+.f64 (.f64 (.f64 J (.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2))) U)

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

Calls

15 calls:

33.0ms	(cos.f64 (/.f64 K 2))
23.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
21.0ms	(/.f64 K 2)
21.0ms	J
20.0ms	l

Results

Error	Segments	Branch
0.3b	1	`J`
0.3b	1	`l`
0.3b	1	`K`
0.3b	1	`U`
0.3b	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)`
0.3b	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))`
0.3b	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))`
0.3b	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
0.3b	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
0.3b	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0.3b	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0.3b	1	`(cos.f64 (/.f64 K 2))`
0.3b	1	`(cos.f64 (/.f64 K 2))`
0.3b	1	`(/.f64 K 2)`
0.3b	1	`(/.f64 K 2)`

Compiler

Compiled 707 to 471 computations (33.4% saved)

regimes168.0ms (1%)

Counts

30 → 1

Calls

Call 1

Inputs
U
U
(.f64 2 (.f64 l J))
(+.f64 (.f64 l (.f64 J 2)) U)
(+.f64 (.f64 (.f64 2 l) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
(+.f64 (.f64 (.f64 2 l) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
(fma.f64 (*.f64 J 2) l U)
(fma.f64 J (*.f64 2 l) U)
(.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2)))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(+.f64 (.f64 J (.f64 l (.f64 2 (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 l (.f64 J (fma.f64 l (*.f64 l 1/3) 2))) U)
(+.f64 (.f64 (.f64 J (*.f64 2 l)) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (+.f64 0 (.f64 J (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2))))) U)
(+.f64 (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J))) U)
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
(+.f64 (.f64 (.f64 J l) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 2 (.f64 1/3 (.f64 l l))))) U)
(+.f64 (.f64 (+.f64 (.f64 l (+.f64 2 (+.f64 0 (.f64 1/3 (.f64 l l))))) (*.f64 1/60 (pow.f64 l 5))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)
(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 J (.f64 J (.f64 K (.f64 K -1/8))))) U)
(+.f64 (.f64 (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (pow.f64 l 2)))) (.f64 1/60 (pow.f64 l 5))) J) U)
(+.f64 (.f64 (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (*.f64 (pow.f64 l 3) J))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (*.f64 1/60 (pow.f64 l 5))))) U)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))) 3)
(+.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 J l) (.f64 (cos.f64 (.f64 1/2 K)) 2))) 2) U)
(+.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 J l) (.f64 (cos.f64 (.f64 1/2 K)) 2))) 3) U)

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

Calls

8 calls:

62.0ms	l
18.0ms	U
17.0ms	J
16.0ms	(/.f64 K 2)
16.0ms	K

Results

Error	Segments	Branch
0.3b	1	`J`
0.3b	1	`l`
0.3b	1	`K`
0.3b	1	`U`
0.3b	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0.3b	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0.3b	1	`(cos.f64 (/.f64 K 2))`
0.3b	1	`(/.f64 K 2)`

Compiler

Compiled 438 to 285 computations (34.9% saved)

regimes172.0ms (1%)

Counts

21 → 1

Calls

Call 1

Inputs
U
U
(.f64 2 (.f64 l J))
(+.f64 (.f64 l (.f64 J 2)) U)
(+.f64 (.f64 (.f64 2 l) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
(+.f64 (.f64 (.f64 2 l) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
(fma.f64 (*.f64 J 2) l U)
(fma.f64 J (*.f64 2 l) U)
(.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2)))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(+.f64 (.f64 J (.f64 l (.f64 2 (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 l (.f64 J (fma.f64 l (*.f64 l 1/3) 2))) U)
(+.f64 (.f64 (.f64 J (*.f64 2 l)) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (+.f64 0 (.f64 J (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2))))) U)
(+.f64 (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J))) U)
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
(+.f64 (.f64 (.f64 J l) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 2 (.f64 1/3 (.f64 l l))))) U)
(+.f64 (.f64 (+.f64 (.f64 l (+.f64 2 (+.f64 0 (.f64 1/3 (.f64 l l))))) (*.f64 1/60 (pow.f64 l 5))) J) U)
(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) U)

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

Calls

10 calls:

58.0ms	U
25.0ms	(/.f64 K 2)
15.0ms	(/.f64 K 2)
15.0ms	K
12.0ms	J

Results

Error	Segments	Branch
0.8b	1	`J`
0.8b	1	`l`
0.8b	1	`K`
0.8b	1	`U`
0.8b	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0.8b	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0.8b	1	`(cos.f64 (/.f64 K 2))`
0.8b	1	`(cos.f64 (/.f64 K 2))`
0.8b	1	`(/.f64 K 2)`
0.8b	1	`(/.f64 K 2)`

Compiler

Compiled 303 to 202 computations (33.3% saved)

regimes176.0ms (1.1%)

Counts

17 → 1

Calls

Call 1

Inputs
U
U
(.f64 2 (.f64 l J))
(+.f64 (.f64 l (.f64 J 2)) U)
(+.f64 (.f64 (.f64 2 l) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
(+.f64 (.f64 (.f64 2 l) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
(fma.f64 (*.f64 J 2) l U)
(fma.f64 J (*.f64 2 l) U)
(.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2)))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(+.f64 (.f64 J (.f64 l (.f64 2 (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 l (.f64 J (fma.f64 l (*.f64 l 1/3) 2))) U)
(+.f64 (.f64 (.f64 J (*.f64 2 l)) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (+.f64 0 (.f64 J (.f64 (+.f64 l l) (cos.f64 (*.f64 K 1/2))))) U)
(+.f64 (+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J))) U)
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)

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

Calls

8 calls:

59.0ms	K
19.0ms	l
18.0ms	J
10.0ms	(/.f64 K 2)
9.0ms	(/.f64 K 2)

Results

Error	Segments	Branch
1.0b	1	`J`
1.0b	1	`l`
1.0b	1	`K`
1.0b	1	`U`
1.0b	1	`(cos.f64 (/.f64 K 2))`
1.0b	1	`(cos.f64 (/.f64 K 2))`
1.0b	1	`(/.f64 K 2)`
1.0b	1	`(/.f64 K 2)`

Compiler

Compiled 223 to 149 computations (33.2% saved)

regimes248.0ms (1.5%)

Counts

13 → 1

Calls

Call 1

Inputs
U
U
(.f64 2 (.f64 l J))
(+.f64 (.f64 l (.f64 J 2)) U)
(+.f64 (.f64 (.f64 2 l) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
(+.f64 (.f64 (.f64 2 l) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
(fma.f64 (*.f64 J 2) l U)
(fma.f64 J (*.f64 2 l) U)
(.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2)))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))
(+.f64 (.f64 J (.f64 l (.f64 2 (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 l (.f64 J (fma.f64 l (*.f64 l 1/3) 2))) U)
(+.f64 (.f64 (.f64 J (*.f64 2 l)) (cos.f64 (/.f64 K 2))) U)

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

Calls

8 calls:

63.0ms	U
59.0ms	J
17.0ms	(/.f64 K 2)
16.0ms	K
16.0ms	(/.f64 K 2)

Results

Error	Segments	Branch
1.1b	1	`J`
1.1b	1	`l`
1.1b	1	`K`
1.1b	1	`U`
1.1b	1	`(cos.f64 (/.f64 K 2))`
1.1b	1	`(cos.f64 (/.f64 K 2))`
1.1b	1	`(/.f64 K 2)`
1.1b	1	`(/.f64 K 2)`

Compiler

Compiled 166 to 113 computations (31.9% saved)

regimes191.0ms (1.2%)

Counts

10 → 3

Calls

Call 1

Inputs
U
U
(.f64 2 (.f64 l J))
(+.f64 (.f64 l (.f64 J 2)) U)
(+.f64 (.f64 (.f64 2 l) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
(+.f64 (.f64 (.f64 2 l) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
(fma.f64 (*.f64 J 2) l U)
(fma.f64 J (*.f64 2 l) U)
(.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2)))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 l J)))

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

Calls

4 calls:

73.0ms	K
37.0ms	U
15.0ms	l
13.0ms	J

Results

Error	Segments	Branch
10.2b	1	`J`
10.2b	1	`l`
9.1b	3	`K`
8.6b	3	`U`

Compiler

Compiled 100 to 64 computations (36% saved)

bsearch451.0ms (2.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
242.0ms	1.1382380770620905e-284	3.5737083163387134e-282
209.0ms	-5.351806381557179e-192	-3.7366667853912966e-200

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes56.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

Inputs
U
U
(.f64 2 (.f64 l J))
(+.f64 (.f64 l (.f64 J 2)) U)
(+.f64 (.f64 (.f64 2 l) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
(+.f64 (.f64 (.f64 2 l) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
(fma.f64 (*.f64 J 2) l U)
(fma.f64 J (*.f64 2 l) U)

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

Calls

4 calls:

15.0ms	K
14.0ms	J
11.0ms	U
11.0ms	l

Results

Error	Segments	Branch
10.2b	1	`J`
10.2b	1	`l`
10.2b	1	`K`
10.2b	1	`U`

Compiler

Compiled 80 to 51 computations (36.3% saved)

regimes144.0ms (0.9%)

Counts

6 → 1

Calls

Call 1

Inputs
U
U
(.f64 2 (.f64 l J))
(+.f64 (.f64 l (.f64 J 2)) U)
(+.f64 (.f64 (.f64 2 l) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)
(+.f64 (.f64 (.f64 2 l) (+.f64 J (.f64 J (.f64 K (*.f64 K -1/8))))) U)

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

Calls

4 calls:

67.0ms	K
53.0ms	J
10.0ms	U
10.0ms	l

Results

Error	Segments	Branch
10.2b	1	`J`
10.2b	1	`l`
10.2b	1	`K`
10.2b	1	`U`

Compiler

Compiled 68 to 45 computations (33.8% saved)

regimes115.0ms (0.7%)

Counts

3 → 6

Calls

Call 1

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

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

Calls

4 calls:

72.0ms	J
26.0ms	U
8.0ms	K
7.0ms	l

Results

Error	Segments	Branch
15.3b	6	`J`
19.6b	1	`l`
19.6b	1	`K`
18.3b	3	`U`

Compiler

Compiled 31 to 23 computations (25.8% saved)

bsearch633.0ms (3.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
114.0ms	7.949603653824938e+247	2.5901957962562934e+248
113.0ms	6.220690576779446e+205	1.218639806439155e+214
88.0ms	-2.201148231643713e+122	-1.497466322606327e+120
137.0ms	-4.389827766998613e+171	-1.889458877309237e+159
181.0ms	-3.381316968543226e+230	-2.860737056295626e+229

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes17.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
U
U

Outputs
U

Calls

4 calls:

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

Results

Error	Segments	Branch
19.6b	1	`J`
19.6b	1	`l`
19.6b	1	`K`
19.6b	1	`U`

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
7×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	221
1	105	221

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 (.f64 J l) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 2 (.f64 1/3 (.f64 l l))))) U)
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 J (.f64 l (.f64 2 (cos.f64 (.f64 1/2 K))))) U)
(if (<=.f64 U -3436429307344313/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) (+.f64 (.f64 l (.f64 J 2)) U) (if (<=.f64 U 7622699353744849/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336) (.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2))))) (fma.f64 (*.f64 J 2) l U)))
(fma.f64 (*.f64 J 2) l U)
(+.f64 (.f64 l (.f64 J 2)) U)
(if (<=.f64 J -338131696854322620182318021000693381217422794304646832489049096250987860278437747313695323179951850852544145783986510392376673057526505933530089425290271121484747133753433573108359639989513890454852914467639185286091650945026883584) (.f64 2 (.f64 l J)) (if (<=.f64 J -4389827766998612828481267895970446233859082462435749400869588441664811226372878789283522069134188607162673627946235133986797952370600516741408406406978628995012254245060608) U (if (<=.f64 J -220114823164371286256268731273942987757934916896793516910868319500842303166690851926095299131922858348065113867769025134592) (.f64 2 (.f64 l J)) (if (<=.f64 J 62206905767794456799235593117061792210613420968306261051132739817113115981887642029426038942220806991799443884060459899042419108416351955502170606908810761148258095251382730707724608324822822292059605434368) U (if (<=.f64 J 79496036538249382066240826456915369298763562658822644451379953779705057714617676315071431854995378389750815850675804842853403266015909202121497401567375893878627061970011409125652962321541220081743244102787241683761891148268206348945185678458617856) (.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 (.f64 J l) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 2 (.f64 1/3 (.f64 l l))))) U)
(+.f64 U (.f64 (.f64 J l) (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 2 (.f64 1/3 (.f64 l l))))))
(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)
(+.f64 U (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 K 1/2))))))
(+.f64 (.f64 J (.f64 l (.f64 2 (cos.f64 (.f64 1/2 K))))) U)
(+.f64 U (.f64 J (.f64 l (.f64 2 (cos.f64 (.f64 K 1/2))))))
(if (<=.f64 U -3436429307344313/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) (+.f64 (.f64 l (.f64 J 2)) U) (if (<=.f64 U 7622699353744849/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336) (.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2))))) (fma.f64 (*.f64 J 2) l U)))
(if (<=.f64 U -3436429307344313/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) (+.f64 U (.f64 l (.f64 J 2))) (if (<=.f64 U 7622699353744849/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336) (.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2))))) (fma.f64 (*.f64 J 2) l U)))
(fma.f64 (*.f64 J 2) l U)
(+.f64 (.f64 l (.f64 J 2)) U)
(+.f64 U (.f64 l (.f64 J 2)))
(if (<=.f64 J -338131696854322620182318021000693381217422794304646832489049096250987860278437747313695323179951850852544145783986510392376673057526505933530089425290271121484747133753433573108359639989513890454852914467639185286091650945026883584) (.f64 2 (.f64 l J)) (if (<=.f64 J -4389827766998612828481267895970446233859082462435749400869588441664811226372878789283522069134188607162673627946235133986797952370600516741408406406978628995012254245060608) U (if (<=.f64 J -220114823164371286256268731273942987757934916896793516910868319500842303166690851926095299131922858348065113867769025134592) (.f64 2 (.f64 l J)) (if (<=.f64 J 62206905767794456799235593117061792210613420968306261051132739817113115981887642029426038942220806991799443884060459899042419108416351955502170606908810761148258095251382730707724608324822822292059605434368) U (if (<=.f64 J 79496036538249382066240826456915369298763562658822644451379953779705057714617676315071431854995378389750815850675804842853403266015909202121497401567375893878627061970011409125652962321541220081743244102787241683761891148268206348945185678458617856) (.f64 2 (.f64 l J)) U)))))
(if (<=.f64 J -338131696854322620182318021000693381217422794304646832489049096250987860278437747313695323179951850852544145783986510392376673057526505933530089425290271121484747133753433573108359639989513890454852914467639185286091650945026883584) (.f64 2 (.f64 J l)) (if (<=.f64 J -4389827766998612828481267895970446233859082462435749400869588441664811226372878789283522069134188607162673627946235133986797952370600516741408406406978628995012254245060608) U (if (<=.f64 J -220114823164371286256268731273942987757934916896793516910868319500842303166690851926095299131922858348065113867769025134592) (.f64 2 (.f64 J l)) (if (<=.f64 J 62206905767794456799235593117061792210613420968306261051132739817113115981887642029426038942220806991799443884060459899042419108416351955502170606908810761148258095251382730707724608324822822292059605434368) U (if (<=.f64 J 79496036538249382066240826456915369298763562658822644451379953779705057714617676315071431854995378389750815850675804842853403266015909202121497401567375893878627061970011409125652962321541220081743244102787241683761891148268206348945185678458617856) (.f64 2 (.f64 J l)) U)))))
U

Compiler

Compiled 191 to 135 computations (29.3% saved)

soundness0.0ms (0%)

end95.0ms (0.6%)

Compiler: Compiled 155 to 97 computations (37.4% saved)