Details

analyze459.0ms (3.5%)

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)

sample5.0s (38.4%)

Results

1.2s	5276×	body	256	valid
1.1s	1705×	body	1024	valid
976.0ms	1968×	body	1024	infinite
761.0ms	3740×	body	256	infinite
483.0ms	1216×	body	512	valid
354.0ms	1026×	body	512	infinite
92.0ms	59×	body	2048	valid

Bogosity

preprocess85.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

15.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.3b	(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
▶	15.3b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 37 to 27 computations (27% saved)

localize50.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 (/.f64 K 2))
✓	0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
✓	4.8b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 65 to 24 computations (63.1% saved)

series23.0ms (0.2%)

Counts

3 → 56

Calls

15 calls:

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

rewrite184.0ms (1.4%)

Algorithm

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

Rules

490×	`pow1_binary64`
481×	`add-sqr-sqrt_binary64`
458×	`add-log-exp_binary64`
458×	`log1p-expm1-u_binary64`
458×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	277	18
2	4319	18
0	6	6
1	130	6
2	2188	6
0	6	6
0	13	17
1	277	17
2	4318	17
0	13	17
0	5	6
1	107	6
2	1244	6

Stop Event

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

Counts

3 → 35

Calls

Call 1

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

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

Outputs

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

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

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

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

571×	`fma-def_binary64`
502×	`unsub-neg_binary64`
384×	`distribute-rgt-neg-out_binary64`
357×	`distribute-lft-in_binary64`
353×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1136
1	244	1084
2	713	1041
3	3009	995
4	6371	995

Stop Event

1×	node limit

Counts

91 → 69

Calls

Call 1

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

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

localize35.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
	0.0b	(cos.f64 (/.f64 K 2))
	4.8b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 54 to 23 computations (57.4% saved)

series18.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite68.0ms (0.5%)

Algorithm

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

Rules

153×	`add-sqr-sqrt_binary64`
146×	`*-un-lft-identity_binary64`
146×	`pow1_binary64`
143×	`add-log-exp_binary64`
141×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	18
1	295	18
2	4484	18
0	14	18

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 10

Calls

Call 1

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

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

Outputs

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

simplify107.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

671×	`unsub-neg_binary64`
570×	`associate-+l+_binary64`
466×	`associate-+r+_binary64`
422×	`fma-def_binary64`
369×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	1105
1	193	1067
2	565	1035
3	2545	1012
4	6386	1012

Stop Event

1×	node limit

Counts

58 → 29

Calls

Call 1

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

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

eval97.0ms (0.7%)

Compiler: Compiled 2913 to 1568 computations (46.2% saved)

prune59.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	136	8	144
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	138	8	146

Error

0.0b

Counts

146 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(fma.f64 J (.f64 (.f64 2 l) (cos.f64 (/.f64 K 2))) U)
▶	15.4b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
	0.4b	(+.f64 (.f64 (.f64 J (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2))) U)
▶	0.1b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
▶	0.7b	(+.f64 (.f64 (.f64 J (*.f64 2 l)) (cos.f64 (/.f64 K 2))) U)
▶	0.7b	(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
▶	0.4b	(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 (.f64 1/3 (.f64 l l)) 2))))
	16.4b	U

Compiler

Compiled 265 to 196 computations (26% saved)

localize43.0ms (0.3%)

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

Compiler

Compiled 52 to 31 computations (40.4% saved)

series36.0ms (0.3%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	l	@	inf	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
4.0ms	K	@	inf	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
3.0ms	J	@	0	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
3.0ms	l	@	-inf	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
2.0ms	J	@	inf	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

rewrite110.0ms (0.8%)

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	38
1	283	38
2	3723	38

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 J (*.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))) U))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 J (*.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2))))) 2) (fma.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 K 1/2)) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 (*.f64 2 (*.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 K 1/2)) (neg.f64 U))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 J (*.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))) U) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 J (*.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))) U))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 J (*.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))) U)) (pow.f64 (cbrt.f64 (fma.f64 J (*.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K 1/2)))) U)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 J 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simplify156.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	2199
1	264	2115
2	788	2031
3	3452	1969
4	5837	1969

Stop Event

1×	node limit

Counts

208 → 157

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

localize50.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 35 computations (34% saved)

series28.0ms (0.2%)

Counts

4 → 80

Calls

27 calls:

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

rewrite111.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	222	42
2	2579	42

Stop Event

1×	node limit

Counts

4 → 119

Calls

Call 1

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

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

simplify241.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

803×	`unswap-sqr_binary64`
664×	`*-commutative_binary64`
551×	`fma-def_binary64`
515×	`distribute-lft-out_binary64`
425×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	1178
1	174	1148
2	549	1115
3	2172	1108
4	3276	1108
5	3828	1108
6	4082	1108
7	4686	1108
8	5360	1108
9	5668	1108
10	6046	1108
11	7710	1108

Stop Event

1×	node limit

Counts

199 → 153

Calls

Call 1

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

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

localize44.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 46 to 30 computations (34.8% saved)

series14.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite106.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

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

simplify213.0ms (1.6%)

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

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 81 to 44 computations (45.7% saved)

series21.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	l	@	-inf	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 (.f64 1/3 (.f64 l l)) 2)))
1.0ms	J	@	0	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 (.f64 1/3 (.f64 l l)) 2)))
1.0ms	K	@	inf	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 (.f64 1/3 (.f64 l l)) 2)))
1.0ms	J	@	inf	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 (.f64 1/3 (.f64 l l)) 2)))
1.0ms	l	@	inf	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 (.f64 1/3 (.f64 l l)) 2)))

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`log-prod_binary64`
658×	`prod-diff_binary64`
279×	`expm1-udef_binary64`
279×	`log1p-udef_binary64`
246×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	322	43
2	4079	43

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

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

Outputs

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1/3 (*.f64 (*.f64 l l) (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (*.f64 l l)) l) J (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (*.f64 l l)) (pow.f64 (cbrt.f64 (*.f64 l J)) 2)) (cbrt.f64 (*.f64 l J)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (*.f64 l l)) (sqrt.f64 (*.f64 l J))) (sqrt.f64 (*.f64 l J)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 l) J (*.f64 1/3 (*.f64 (*.f64 l l) (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 (*.f64 l J)) 2)) (cbrt.f64 (*.f64 l J)) (*.f64 1/3 (*.f64 (*.f64 l l) (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (*.f64 l J))) (sqrt.f64 (*.f64 l J)) (*.f64 1/3 (*.f64 (*.f64 l l) (*.f64 l J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 l J) 1/3) (*.f64 l l) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 l J) (*.f64 l l)) 1/3 (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 l J) (cbrt.f64 (*.f64 1/9 (pow.f64 l 4)))) (cbrt.f64 (*.f64 1/3 (*.f64 l l))) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 l J) (*.f64 l (sqrt.f64 1/3))) (*.f64 l (sqrt.f64 1/3)) (*.f64 l (*.f64 J 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 l J) (*.f64 1/3 l)) l (*.f64 l (*.f64 J 2)))))))

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

684×	`distribute-lft-in_binary64`
684×	`distribute-rgt-in_binary64`
447×	`associate-+l+_binary64`
443×	`distribute-rgt-out_binary64`
410×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	1408
1	133	1242
2	450	1219
3	2694	1205
4	7634	1205

Stop Event

1×	node limit

Counts

187 → 137

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

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	4.8b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

eval466.0ms (3.6%)

Compiler: Compiled 13324 to 8372 computations (37.2% saved)

prune218.0ms (1.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	649	9	658
Fresh	2	1	3
Picked	1	0	1
Done	2	2	4
Total	654	12	666

Error

Counts

666 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(fma.f64 (+.f64 l l) (.f64 J (cos.f64 (.f64 K 1/2))) U)
▶	0.1b	(+.f64 (.f64 (.f64 J (.f64 2 (/.f64 1 (/.f64 2 (.f64 2 (sinh.f64 l)))))) (cos.f64 (/.f64 K 2))) U)
▶	0.7b	(+.f64 (.f64 (.f64 J (.f64 2 l)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 K 1/2))))) U)
✓	0.7b	(+.f64 (.f64 (.f64 J (*.f64 2 l)) (cos.f64 (/.f64 K 2))) U)
▶	7.5b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
▶	8.1b	(+.f64 (.f64 (.f64 2 l) J) U)
✓	0.7b	(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
	0.7b	(+.f64 (.f64 2 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l))) U)
	9.7b	(+.f64 (.f64 2 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J l)) 3))) U)
	4.2b	(+.f64 U (.f64 (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K)))) (.f64 (.f64 l J) (+.f64 (.f64 1/3 (.f64 l l)) 2))))
	7.9b	(+.f64 U (.f64 1 (.f64 (.f64 l J) (+.f64 (.f64 1/3 (*.f64 l l)) 2))))
	16.4b	U

Compiler

Compiled 353 to 268 computations (24.1% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 95 to 68 computations (28.4% saved)

series7.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

211 → 160

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

72 → 39

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 15 computations (46.4% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	195	10
2	2576	10

Stop Event

1×	node limit

Counts

1 → 69

Calls

Call 1

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

Outputs

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

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

929×	`fma-neg_binary64`
709×	`fma-def_binary64`
596×	`unswap-sqr_binary64`
544×	`associate-l_binary64`
369×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	461
1	80	461
2	191	455
3	486	452
4	1159	452
5	2618	452
6	3050	452
7	4437	452
8	5240	452
9	7796	452

Stop Event

1×	node limit

Counts

105 → 82

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 36 to 20 computations (44.4% saved)

series9.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	226	31
2	2855	31

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

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

Outputs

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

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

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

simplify236.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	1091
1	173	1080
2	506	1056
3	1771	1054
4	2550	1054
5	3263	1054
6	3432	1054
7	3684	1054
8	4136	1054
9	4581	1054
10	5000	1054
11	5372	1054
12	5742	1054
13	6183	1054
14	6731	1054
15	7409	1054
16	7739	1054

Stop Event

1×	node limit

Counts

174 → 119

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

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

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 (*.f64 K 1/2))
✓	0.1b	(.f64 (.f64 J (.f64 2 l)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 K 1/2)))))
✓	0.2b	(log1p.f64 (expm1.f64 (cos.f64 (*.f64 K 1/2))))
✓	0.6b	(expm1.f64 (cos.f64 (*.f64 K 1/2)))

Compiler

Compiled 62 to 44 computations (29% saved)

series13.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	J	@	inf	(.f64 (.f64 J (.f64 2 l)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 K 1/2)))))
1.0ms	K	@	0	(expm1.f64 (cos.f64 (*.f64 K 1/2)))
0.0ms	K	@	inf	(expm1.f64 (cos.f64 (*.f64 K 1/2)))
0.0ms	K	@	-inf	(expm1.f64 (cos.f64 (*.f64 K 1/2)))
0.0ms	K	@	0	(log1p.f64 (expm1.f64 (cos.f64 (*.f64 K 1/2))))

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log-prod_binary64`
448×	`exp-prod_binary64`
370×	`pow-prod-down_binary64`
300×	`pow2_binary64`
245×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	244	29
2	2786	29

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs

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

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

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

simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

739×	`fma-neg_binary64`
520×	`distribute-rgt-neg-in_binary64`
493×	`*-commutative_binary64`
424×	`distribute-lft-out_binary64`
404×	`fma-def_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	66	840
1	181	816
2	515	792
3	1884	788
4	3042	785
5	4358	783
6	6457	783

Stop Event

1×	node limit

Counts

149 → 117

Calls

Call 1

Inputs
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (.f64 -1/8 (.f64 (E.f64) (pow.f64 K 2)))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 1/96 (.f64 (E.f64) (pow.f64 K 4))) (.f64 -1/8 (.f64 (E.f64) (pow.f64 K 2))))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 1/96 (.f64 (E.f64) (pow.f64 K 4))) (+.f64 (.f64 -31/46080 (.f64 (E.f64) (pow.f64 K 6))) (.f64 -1/8 (.f64 (E.f64) (pow.f64 K 2)))))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 K))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 K))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 K))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 K))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 K))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 K))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 K))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 K))) 1)
1
(+.f64 (*.f64 -1/8 (pow.f64 K 2)) 1)
(+.f64 (.f64 -1/8 (pow.f64 K 2)) (+.f64 1 (.f64 1/384 (pow.f64 K 4))))
(+.f64 (.f64 -1/8 (pow.f64 K 2)) (+.f64 1 (+.f64 (.f64 -1/46080 (pow.f64 K 6)) (*.f64 1/384 (pow.f64 K 4)))))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 1/2 K))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) (.f64 -1/4 (.f64 (pow.f64 K 2) (*.f64 l J))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J)))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (.f64 -1/23040 (.f64 (pow.f64 K 6) (*.f64 l J))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))

Outputs
(-.f64 (E.f64) 1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (.f64 -1/8 (.f64 (E.f64) (pow.f64 K 2)))) 1)
(+.f64 (+.f64 (E.f64) (.f64 -1/8 (.f64 (E.f64) (*.f64 K K)))) -1)
(+.f64 (E.f64) (fma.f64 -1/8 (.f64 (E.f64) (.f64 K K)) -1))
(fma.f64 (E.f64) (.f64 -1/8 (.f64 K K)) (expm1.f64 1))
(fma.f64 (fma.f64 -1/8 (*.f64 K K) 1) (E.f64) -1)
(fma.f64 (E.f64) (fma.f64 -1/8 (*.f64 K K) 1) -1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 1/96 (.f64 (E.f64) (pow.f64 K 4))) (.f64 -1/8 (.f64 (E.f64) (pow.f64 K 2))))) 1)
(+.f64 (+.f64 (E.f64) (fma.f64 1/96 (.f64 (E.f64) (pow.f64 K 4)) (.f64 -1/8 (.f64 (E.f64) (.f64 K K))))) -1)
(+.f64 (fma.f64 -1/8 (.f64 (E.f64) (.f64 K K)) (.f64 (E.f64) (.f64 (pow.f64 K 4) 1/96))) (expm1.f64 1))
(+.f64 (expm1.f64 1) (.f64 (E.f64) (+.f64 (.f64 -1/8 (.f64 K K)) (.f64 1/96 (pow.f64 K 4)))))
(+.f64 (.f64 (E.f64) (+.f64 (fma.f64 -1/8 (.f64 K K) 1) (*.f64 1/96 (pow.f64 K 4)))) -1)
(fma.f64 (E.f64) (+.f64 (fma.f64 -1/8 (.f64 K K) 1) (.f64 1/96 (pow.f64 K 4))) -1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 1/96 (.f64 (E.f64) (pow.f64 K 4))) (+.f64 (.f64 -31/46080 (.f64 (E.f64) (pow.f64 K 6))) (.f64 -1/8 (.f64 (E.f64) (pow.f64 K 2)))))) 1)
(+.f64 (E.f64) (-.f64 (fma.f64 1/96 (.f64 (E.f64) (pow.f64 K 4)) (fma.f64 -31/46080 (.f64 (E.f64) (pow.f64 K 6)) (.f64 -1/8 (.f64 (E.f64) (*.f64 K K))))) 1))
(+.f64 (fma.f64 1/96 (.f64 (E.f64) (pow.f64 K 4)) (fma.f64 -1/8 (.f64 (E.f64) (.f64 K K)) (.f64 (pow.f64 K 6) (*.f64 (E.f64) -31/46080)))) (expm1.f64 1))
(+.f64 (expm1.f64 1) (fma.f64 (E.f64) (.f64 -1/8 (.f64 K K)) (.f64 (E.f64) (+.f64 (.f64 1/96 (pow.f64 K 4)) (*.f64 -31/46080 (pow.f64 K 6))))))
(+.f64 (expm1.f64 1) (.f64 (E.f64) (+.f64 (+.f64 (.f64 -1/8 (.f64 K K)) (.f64 -31/46080 (pow.f64 K 6))) (*.f64 1/96 (pow.f64 K 4)))))
(+.f64 (.f64 (E.f64) (+.f64 (+.f64 (.f64 -31/46080 (pow.f64 K 6)) (.f64 1/96 (pow.f64 K 4))) (fma.f64 -1/8 (.f64 K K) 1))) -1)
(fma.f64 (E.f64) (+.f64 (fma.f64 -1/8 (.f64 K K) 1) (+.f64 (.f64 -31/46080 (pow.f64 K 6)) (*.f64 1/96 (pow.f64 K 4)))) -1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 K))) 1)
(expm1.f64 (cos.f64 (*.f64 K 1/2)))
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 K))) 1)
(expm1.f64 (cos.f64 (*.f64 K 1/2)))
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 K))) 1)
(expm1.f64 (cos.f64 (*.f64 K 1/2)))
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 K))) 1)
(expm1.f64 (cos.f64 (*.f64 K 1/2)))
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 K))) 1)
(expm1.f64 (cos.f64 (*.f64 K 1/2)))
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 K))) 1)
(expm1.f64 (cos.f64 (*.f64 K 1/2)))
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 K))) 1)
(expm1.f64 (cos.f64 (*.f64 K 1/2)))
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 K))) 1)
(expm1.f64 (cos.f64 (*.f64 K 1/2)))
1
(+.f64 (*.f64 -1/8 (pow.f64 K 2)) 1)
(fma.f64 -1/8 (*.f64 K K) 1)
(+.f64 (.f64 -1/8 (pow.f64 K 2)) (+.f64 1 (.f64 1/384 (pow.f64 K 4))))
(+.f64 (fma.f64 -1/8 (.f64 K K) 1) (.f64 (pow.f64 K 4) 1/384))
(fma.f64 -1/8 (*.f64 K K) (fma.f64 (pow.f64 K 4) 1/384 1))
(fma.f64 (pow.f64 K 4) 1/384 (fma.f64 -1/8 (*.f64 K K) 1))
(+.f64 (.f64 -1/8 (pow.f64 K 2)) (+.f64 1 (+.f64 (.f64 -1/46080 (pow.f64 K 6)) (*.f64 1/384 (pow.f64 K 4)))))
(+.f64 (fma.f64 -1/8 (.f64 K K) 1) (fma.f64 -1/46080 (pow.f64 K 6) (.f64 (pow.f64 K 4) 1/384)))
(+.f64 (fma.f64 -1/8 (.f64 K K) 1) (fma.f64 (pow.f64 K 4) 1/384 (.f64 (pow.f64 K 6) -1/46080)))
(fma.f64 -1/8 (*.f64 K K) (fma.f64 (pow.f64 K 4) 1/384 (fma.f64 (pow.f64 K 6) -1/46080 1)))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 K 1/2))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 K 1/2))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 K 1/2))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 K 1/2))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 K 1/2))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 K 1/2))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 K 1/2))
(cos.f64 (*.f64 1/2 K))
(cos.f64 (*.f64 K 1/2))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.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 K K) (*.f64 l J))))
(.f64 (.f64 l J) (+.f64 2 (.f64 (.f64 K K) -1/4)))
(.f64 l (.f64 J (fma.f64 (*.f64 K K) -1/4 2)))
(.f64 (.f64 l J) (fma.f64 (*.f64 K K) -1/4 2))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J)))))
(fma.f64 2 (.f64 l J) (fma.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J)) (.f64 -1/4 (.f64 (.f64 K K) (*.f64 l J)))))
(fma.f64 2 (.f64 l J) (.f64 (.f64 l J) (+.f64 (.f64 (.f64 K K) -1/4) (.f64 (pow.f64 K 4) 1/192))))
(.f64 (.f64 l J) (+.f64 2 (fma.f64 (.f64 K K) -1/4 (.f64 (pow.f64 K 4) 1/192))))
(.f64 l (.f64 J (+.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 -1/23040 (.f64 (pow.f64 K 6) (*.f64 l J))))))
(fma.f64 2 (.f64 l J) (fma.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J)) (fma.f64 -1/4 (.f64 (.f64 K K) (.f64 l J)) (.f64 -1/23040 (.f64 (pow.f64 K 6) (*.f64 l J))))))
(+.f64 (.f64 (.f64 l J) (+.f64 (.f64 (.f64 K K) -1/4) (.f64 (pow.f64 K 6) -1/23040))) (.f64 (.f64 l J) (+.f64 2 (.f64 (pow.f64 K 4) 1/192))))
(.f64 (.f64 l J) (+.f64 (fma.f64 (pow.f64 K 6) -1/23040 (.f64 (.f64 K K) -1/4)) (+.f64 2 (*.f64 (pow.f64 K 4) 1/192))))
(.f64 (.f64 l J) (+.f64 2 (+.f64 (.f64 (pow.f64 K 4) 1/192) (fma.f64 (pow.f64 K 6) -1/23040 (.f64 (*.f64 K K) -1/4)))))
(.f64 l (.f64 J (+.f64 (.f64 (pow.f64 K 4) 1/192) (+.f64 (.f64 (pow.f64 K 6) -1/23040) (fma.f64 (*.f64 K K) -1/4 2)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 2 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l J)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 l (.f64 J 2)))
(.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 (.f64 l J)))

eval407.0ms (3.1%)

Compiler: Compiled 11068 to 7247 computations (34.5% saved)

prune400.0ms (3.1%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	613	4	617
Fresh	1	4	5
Picked	0	1	1
Done	2	4	6
Total	616	13	629

Error

Counts

629 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.1b	(fma.f64 (+.f64 l l) J U)
✓	0.1b	(+.f64 (.f64 (.f64 J (.f64 2 (/.f64 1 (/.f64 2 (.f64 2 (sinh.f64 l)))))) (cos.f64 (/.f64 K 2))) U)
	4.4b	(+.f64 (.f64 (.f64 J (.f64 2 l)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) U)
✓	0.7b	(+.f64 (.f64 (.f64 J (.f64 2 l)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 K 1/2))))) U)
✓	7.5b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
✓	8.1b	(+.f64 (.f64 (.f64 2 l) J) U)
✓	0.7b	(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
▶	0.7b	(+.f64 (.f64 2 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l))) U)
	9.7b	(+.f64 (.f64 2 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J l)) 3))) U)
▶	7.9b	(+.f64 U (.f64 1 (.f64 (.f64 l J) (+.f64 (.f64 1/3 (*.f64 l l)) 2))))
▶	46.7b	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 J l)))
▶	53.8b	(.f64 2 (.f64 l J))
	16.4b	U

Compiler

Compiled 297 to 226 computations (23.9% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 35 computations (34% saved)

series8.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs

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

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

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

simplify210.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

794×	`unswap-sqr_binary64`
674×	`*-commutative_binary64`
576×	`distribute-lft-out_binary64`
469×	`fma-def_binary64`
433×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	1312
1	148	1288
2	489	1255
3	1996	1250
4	3235	1250
5	3823	1250
6	4079	1250
7	4683	1250
8	5357	1250
9	5665	1250
10	6044	1250
11	7695	1250

Stop Event

1×	node limit

Counts

185 → 115

Calls

Call 1

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

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

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)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite46.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize33.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 67 to 35 computations (47.8% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	U	@	0	(+.f64 U (.f64 1 (.f64 (.f64 l J) (+.f64 (.f64 1/3 (*.f64 l l)) 2))))
0.0ms	l	@	-inf	(+.f64 U (.f64 1 (.f64 (.f64 l J) (+.f64 (.f64 1/3 (*.f64 l l)) 2))))
0.0ms	l	@	inf	(+.f64 U (.f64 1 (.f64 (.f64 l J) (+.f64 (.f64 1/3 (*.f64 l l)) 2))))
0.0ms	J	@	inf	(+.f64 U (.f64 1 (.f64 (.f64 l J) (+.f64 (.f64 1/3 (*.f64 l l)) 2))))
0.0ms	J	@	-inf	(+.f64 U (.f64 1 (.f64 (.f64 l J) (+.f64 (.f64 1/3 (*.f64 l l)) 2))))

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`log-prod_binary64`
486×	`fma-def_binary64`
354×	`pow2_binary64`
262×	`fma-neg_binary64`
245×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	304	15
2	3846	15

Stop Event

1×	node limit

Counts

1 → 90

Calls

Call 1

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

Outputs

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

simplify216.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	520
1	59	462
2	144	462
3	366	462
4	988	462
5	1597	462
6	2180	462
7	2412	462
8	2712	462
9	2994	462
10	3265	462
11	3599	462
12	4006	462
13	4536	462
14	5194	462
15	6020	462
16	6421	462
17	6785	462
18	7123	462
19	7373	462
20	7597	462

Stop Event

1×	node limit

Counts

126 → 100

Calls

Call 1

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

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

localize6.0ms (0%)

Compiler: Compiled 16 to 6 computations (62.5% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 20 computations (41.2% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite72.0ms (0.6%)

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	22
1	222	22
2	2568	22

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify151.0ms (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	754
1	88	740
2	277	724
3	1101	720
4	2587	720
5	3075	720
6	3196	720
7	3322	720
8	3456	720
9	3631	718
10	4690	718
11	6391	718
12	6954	718
13	7612	718

Stop Event

1×	node limit

Counts

119 → 69

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

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

eval219.0ms (1.7%)

Compiler: Compiled 8244 to 5258 computations (36.2% saved)

prune164.0ms (1.3%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	452	8	460
Fresh	2	1	3
Picked	0	1	1
Done	2	7	9
Total	456	17	473

Error

Counts

473 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	8.1b	(fma.f64 (+.f64 l l) J U)
	56.5b	(-.f64 (+.f64 1 (.f64 2 (.f64 l J))) 1)
✓	0.1b	(+.f64 (.f64 (.f64 J (.f64 2 (/.f64 1 (/.f64 2 (.f64 2 (sinh.f64 l)))))) (cos.f64 (/.f64 K 2))) U)
✓	7.5b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
✓	8.1b	(+.f64 (.f64 (.f64 2 l) J) U)
✓	0.7b	(+.f64 (.f64 2 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l))) U)
	24.3b	(+.f64 U (.f64 1 (/.f64 (-.f64 (.f64 (.f64 1/3 (.f64 (.f64 l l) (.f64 l J))) (.f64 1/3 (.f64 (.f64 l l) (.f64 l J)))) (.f64 (.f64 l (.f64 J 2)) (.f64 l (.f64 J 2)))) (-.f64 (.f64 1/3 (.f64 (.f64 l l) (.f64 l J))) (.f64 l (*.f64 J 2))))))
	7.8b	(+.f64 U (.f64 1 (+.f64 (.f64 l (.f64 J 2)) (.f64 1/3 (.f64 (.f64 l l) (*.f64 l J))))))
✓	7.9b	(+.f64 U (.f64 1 (.f64 (.f64 l J) (+.f64 (.f64 1/3 (*.f64 l l)) 2))))
	61.8b	(.f64 (pow.f64 l 3) (.f64 1/3 J))
	50.4b	(.f64 (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K)))) (.f64 2 (.f64 J l)))
	46.7b	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 J l)))
✓	46.7b	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 J l)))
	46.7b	(.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2)))))
✓	53.8b	(.f64 2 (.f64 l J))
	53.9b	(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 (.f64 J l))) 3))
	16.4b	U

Compiler

Compiled 285 to 208 computations (27% saved)

regimes206.0ms (1.6%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

13 calls:

44.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
27.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
17.0ms	U
17.0ms	K
17.0ms	J

Results

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

Compiler

Compiled 560 to 358 computations (36.1% saved)

regimes143.0ms (1.1%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

10 calls:

22.0ms	U
21.0ms	l
20.0ms	K
15.0ms	J
11.0ms	(/.f64 K 2)

Results

Error	Segments	Branch
0.4b	1	`J`
0.4b	1	`l`
0.4b	1	`K`
0.4b	1	`U`
0.4b	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0.4b	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0.4b	1	`(cos.f64 (/.f64 K 2))`
0.4b	1	`(cos.f64 (/.f64 K 2))`
0.4b	1	`(/.f64 K 2)`
0.4b	1	`(/.f64 K 2)`

Compiler

Compiled 321 to 204 computations (36.4% saved)

regimes75.0ms (0.6%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 238 to 151 computations (36.6% saved)

regimes48.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	l
12.0ms	K
8.0ms	J
8.0ms	U

Results

Error	Segments	Branch
0.7b	1	`J`
0.7b	1	`l`
0.7b	1	`K`
0.7b	1	`U`

Compiler

Compiled 184 to 109 computations (40.8% saved)

regimes41.0ms (0.3%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
6.5b	2	`J`
7.5b	1	`l`
7.5b	1	`K`
7.5b	1	`U`

Compiler

Compiled 172 to 101 computations (41.3% saved)

bsearch165.0ms (1.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
165.0ms	-1.5741343101890726e+226	-7.343311567919993e+217

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes65.0ms (0.5%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	K
14.0ms	J
14.0ms	l
13.0ms	U

Results

Error	Segments	Branch
7.5b	1	`J`
7.5b	1	`l`
7.5b	1	`K`
7.5b	1	`U`

Compiler

Compiled 152 to 87 computations (42.8% saved)

regimes60.0ms (0.5%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	K
14.0ms	U
14.0ms	J
12.0ms	l

Results

Error	Segments	Branch
7.8b	1	`J`
7.8b	1	`l`
7.8b	1	`K`
7.8b	1	`U`

Compiler

Compiled 144 to 82 computations (43.1% saved)

regimes53.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	J
11.0ms	U
11.0ms	K
10.0ms	l

Results

Error	Segments	Branch
7.9b	1	`J`
7.9b	1	`l`
7.9b	1	`K`
7.9b	1	`U`

Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes19.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
8.1b	1	`J`
8.1b	1	`l`
8.1b	1	`K`
8.1b	1	`U`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes34.0ms (0.3%)

Accuracy

Total -48.4b remaining (-358.1%)

Threshold costs -48.4b (-358.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	J
10.0ms	K
9.0ms	U
3.0ms	l

Results

Error	Segments	Branch
13.5b	3	`J`
16.4b	1	`l`
15.2b	3	`K`
15.2b	3	`U`

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch247.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
130.0ms	2.637314754973866e+175	1.059506092578959e+183
117.0ms	-3.635343420646397e+187	-2.630572805672403e+187

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
10×	`+-commutative_binary64`
2×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	210
1	106	210

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 (.f64 1/3 (.f64 l l)) 2))))
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(+.f64 (.f64 2 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l))) U)
(if (<=.f64 J -15741343101890726050465120453349360183796862149730847695657453981536610062102925814772815580498547085313881958878827038348626956500727045136397461176464632474193462049974562697816752937465185959965500376152215228973431306321920) (.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2))))) (+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U))
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
(+.f64 U (.f64 1 (+.f64 (.f64 l (.f64 J 2)) (.f64 1/3 (.f64 (.f64 l l) (*.f64 l J))))))
(+.f64 U (.f64 1 (.f64 (.f64 l J) (+.f64 (.f64 1/3 (*.f64 l l)) 2))))
(+.f64 (.f64 (.f64 2 l) J) U)
(if (<=.f64 J -36353434206463973591190121723013489972577944344248988664598544628346250321179115304729942864930302079194711025356200408896377787752972899349394211252337055860242771956618763384318983143424) (.f64 2 (.f64 l J)) (if (<=.f64 J 26373147549738659928050251636869100694739041992850038716804229169431955528455071810929757137762190328613452438882725648974835632599433064242790922070692897729830920118998138880) U (.f64 2 (.f64 l J))))
U

Outputs
(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (cos.f64 (/.f64 K 2)) (.f64 J (*.f64 2 (sinh.f64 l)))) U)
(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) (+.f64 (.f64 1/3 (.f64 l l)) 2))))
(+.f64 U (.f64 (.f64 (.f64 J l) (+.f64 2 (.f64 1/3 (.f64 l l)))) (cos.f64 (.f64 K 1/2))))
(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
(+.f64 U (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 K 1/2))))))
(+.f64 (.f64 2 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) l))) U)
(+.f64 U (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 K 1/2))))))
(if (<=.f64 J -15741343101890726050465120453349360183796862149730847695657453981536610062102925814772815580498547085313881958878827038348626956500727045136397461176464632474193462049974562697816752937465185959965500376152215228973431306321920) (.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2))))) (+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U))
(if (<=.f64 J -15741343101890726050465120453349360183796862149730847695657453981536610062102925814772815580498547085313881958878827038348626956500727045136397461176464632474193462049974562697816752937465185959965500376152215228973431306321920) (.f64 l (.f64 J (.f64 2 (cos.f64 (.f64 K 1/2))))) (+.f64 U (.f64 J (.f64 2 (sinh.f64 l)))))
(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
(+.f64 U (.f64 J (.f64 2 (sinh.f64 l))))
(+.f64 U (.f64 1 (+.f64 (.f64 l (.f64 J 2)) (.f64 1/3 (.f64 (.f64 l l) (*.f64 l J))))))
(+.f64 U (+.f64 (.f64 l (.f64 J 2)) (.f64 1/3 (.f64 (.f64 J l) (.f64 l l)))))
(+.f64 U (.f64 1 (.f64 (.f64 l J) (+.f64 (.f64 1/3 (*.f64 l l)) 2))))
(+.f64 U (.f64 (.f64 J l) (+.f64 2 (.f64 1/3 (.f64 l l)))))
(+.f64 (.f64 (.f64 2 l) J) U)
(+.f64 U (.f64 J (.f64 2 l)))
(if (<=.f64 J -36353434206463973591190121723013489972577944344248988664598544628346250321179115304729942864930302079194711025356200408896377787752972899349394211252337055860242771956618763384318983143424) (.f64 2 (.f64 l J)) (if (<=.f64 J 26373147549738659928050251636869100694739041992850038716804229169431955528455071810929757137762190328613452438882725648974835632599433064242790922070692897729830920118998138880) U (.f64 2 (.f64 l J))))
(if (<=.f64 J -36353434206463973591190121723013489972577944344248988664598544628346250321179115304729942864930302079194711025356200408896377787752972899349394211252337055860242771956618763384318983143424) (.f64 2 (.f64 J l)) (if (<=.f64 J 26373147549738659928050251636869100694739041992850038716804229169431955528455071810929757137762190328613452438882725648974835632599433064242790922070692897729830920118998138880) U (.f64 2 (.f64 J l))))
U

Compiler

Compiled 186 to 134 computations (28% saved)

soundness0.0ms (0%)

end268.0ms (2.1%)

Compiler: Compiled 146 to 87 computations (40.4% saved)