Details

analyze517.0ms (4.9%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 15 computations (25% saved)

sample4.7s (44.3%)

Results

1.1s	1703×	body	1024	valid
957.0ms	5298×	body	256	valid
946.0ms	2036×	body	1024	invalid
686.0ms	3747×	body	256	invalid
499.0ms	1184×	body	512	valid
363.0ms	1052×	body	512	invalid
62.0ms	71×	body	2048	valid

preprocess61.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	154
1	113	154
2	244	154
3	610	154
4	1668	154
5	4483	154
6	7035	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 J (*.f64 (-.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)
(+.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)
(fma.f64 (-.f64 (exp.f64 J) (exp.f64 (neg.f64 J))) (*.f64 l (cos.f64 (/.f64 K 2))) U)
(fma.f64 (cos.f64 (/.f64 K 2)) (*.f64 l (-.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 (-.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)
(fma.f64 U (*.f64 (-.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)
(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)
(+.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)
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (cos.f64 (/.f64 U 2))) K)

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

745×	`fma-def_binary64`
464×	`fma-neg_binary64`
404×	`associate-/l*_binary64`
394×	`times-frac_binary64`
371×	`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	306	22
5	771	22
6	2013	22
7	3835	22
8	6277	22
9	7944	22

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

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

19.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.8b	(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
▶	19.8b	(+.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)

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	6.7b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
	0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
	0.0b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
	0.0b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
✓	0.0b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
✓	0.0b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
✓	0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
✓	6.7b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series22.0ms (0.2%)

Counts

4 → 116

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	K	@	0	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
2.0ms	J	@	0	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
2.0ms	J	@	inf	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
1.0ms	l	@	0	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
1.0ms	l	@	inf	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))

rewrite148.0ms (1.4%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	327	36
2	5318	36
0	6	6
1	130	6
2	2149	6
0	6	6
0	13	17
1	277	17
2	4228	17
0	13	17
0	8	9
1	169	9
2	2705	9
0	8	9
0	15	18
1	327	18
2	5318	18
0	15	18

Stop Event

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

Counts

4 → 37

Calls

Call 1

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

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

simplify91.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	2491
1	314	2400
2	906	2286
3	3726	2228
4	6206	2228

Stop Event

1×	node limit

Counts

153 → 90

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	6.7b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
	0.0b	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))
	0.0b	(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
✓	0.0b	(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
✓	0.0b	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))
	6.7b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series10.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite82.0ms (0.8%)

Algorithm

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

Rules

153×	`add-sqr-sqrt_binary64`
153×	`add-sqr-sqrt_binary64`
146×	`*-un-lft-identity_binary64`
146×	`pow1_binary64`
146×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	295	32
2	4421	32
0	11	14
1	236	14
2	3626	14
0	11	14
0	14	18
1	295	18
2	4429	18
0	14	18

Stop Event

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

Counts

2 → 16

Calls

Call 1

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

((#(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)))))))

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
661×	`fma-neg_binary64`
587×	`unsub-neg_binary64`
408×	`distribute-rgt-in_binary64`
400×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1691
1	282	1631
2	840	1546
3	3691	1494
4	7086	1494

Stop Event

1×	node limit

Counts

88 → 51

Calls

Call 1

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

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

eval64.0ms (0.6%)

Compiler: Compiled 3466 to 1987 computations (42.7% saved)

prune41.0ms (0.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	150	13	163
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	152	13	165

Error

0.0b

Counts

165 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(fma.f64 J (.f64 (.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)
▶	0.4b	(+.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)
▶	0.3b	(+.f64 U (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (*.f64 1/60 (pow.f64 l 5))))))
	20.9b	U
	0.6b	(fma.f64 J (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l)) U)
▶	0.1b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
	34.8b	(+.f64 (.f64 (.f64 J (.f64 (sqrt.f64 (.f64 2 (sinh.f64 l))) (sqrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2))) U)
▶	0.6b	(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
▶	20.0b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
	10.6b	(+.f64 (cbrt.f64 (.f64 (.f64 (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) (.f64 J (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))) (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))))) U)
	0.3b	(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))))))
	34.2b	(.f64 (sqrt.f64 (fma.f64 (.f64 J (.f64 2 (sinh.f64 l))) (cos.f64 (.f64 K 1/2)) U)) (sqrt.f64 (fma.f64 (.f64 J (.f64 2 (sinh.f64 l))) (cos.f64 (*.f64 K 1/2)) U)))
	12.4b	(fma.f64 J (cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))) (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))) U)

Compiler

Compiled 615 to 450 computations (26.8% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series25.0ms (0.2%)

Counts

4 → 120

Calls

30 calls:

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

rewrite75.0ms (0.7%)

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	47
1	283	47
2	3721	47

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

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

simplify95.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

916×	`fma-def_binary64`
353×	`associate-l_binary64`
324×	`distribute-lft-neg-out_binary64`
296×	`associate-r_binary64`
292×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	2547
1	300	2460
2	909	2337
3	3782	2282
4	6038	2282

Stop Event

1×	node limit

Counts

254 → 188

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

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

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series11.0ms (0.1%)

Counts

2 → 8

Calls

18 calls:

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

rewrite52.0ms (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	27
1	222	27
2	2579	27

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify103.0ms (1%)

Algorithm

1×	egg-herbie

Rules

660×	`*-commutative_binary64`
644×	`unswap-sqr_binary64`
580×	`distribute-lft-out_binary64`
495×	`sqr-pow_binary64`
416×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	200
1	104	180
2	368	151
3	1641	147
4	2756	147
5	3453	147
6	3773	147
7	4356	147
8	4968	147
9	5237	147
10	5561	147
11	6895	147
12	7449	147

Stop Event

1×	node limit

Counts

67 → 74

Calls

Call 1

Inputs
(*.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 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))))))

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

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	6.7b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
	0.0b	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
	0.0b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
✓	0.0b	(+.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
✓	0.0b	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
	6.7b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series5.0ms (0%)

Counts

2 → 22

Calls

15 calls:

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

rewrite75.0ms (0.7%)

Algorithm

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

Rules

118×	`add-sqr-sqrt_binary64`
118×	`add-sqr-sqrt_binary64`
114×	`*-un-lft-identity_binary64`
114×	`pow1_binary64`
114×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	219	19
2	3786	19
0	8	9
1	169	9
2	2704	9
0	8	9
0	10	10
1	219	10
2	3786	10
0	10	10

Stop Event

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

Counts

2 → 18

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

842×	`fma-def_binary64`
728×	`unswap-sqr_binary64`
383×	`associate-/l*_binary64`
318×	`associate-/r/_binary64`
317×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	293
1	120	290
2	296	273
3	856	268
4	2161	268
5	2526	268
6	3068	268
7	4478	268

Stop Event

1×	node limit

Counts

40 → 38

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series24.0ms (0.2%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	K	@	-inf	(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (.f64 1/60 (pow.f64 l 5))))
3.0ms	l	@	inf	(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (.f64 1/60 (pow.f64 l 5))))
2.0ms	K	@	inf	(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (.f64 1/60 (pow.f64 l 5))))
2.0ms	J	@	0	(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (*.f64 1/60 (pow.f64 l 5)))))
1.0ms	K	@	0	(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (.f64 1/60 (pow.f64 l 5))))

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 118

Calls

Call 1

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

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

simplify128.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

924×	`distribute-rgt-in_binary64`
909×	`distribute-lft-in_binary64`
570×	`fma-def_binary64`
455×	`associate-l_binary64`
347×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	2105
1	237	1977
2	785	1788
3	3784	1730
4	7313	1730
5	7676	1730
6	7813	1730

Stop Event

1×	node limit

Counts

190 → 159

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 J (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2)))
	0.0b	(sinh.f64 l)
	0.0b	(.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)))))
	0.0b	(+.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 J (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))) (cos.f64 (/.f64 K 2)))
✓	0.3b	(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (.f64 2 (sinh.f64 l)))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))
✓	0.5b	(.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))
✓	0.6b	(cbrt.f64 (*.f64 2 (sinh.f64 l)))

series38.0ms (0.4%)

Counts

4 → 64

Calls

18 calls:

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

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	287	42
2	3349	42

Stop Event

1×	node limit

Counts

4 → 109

Calls

Call 1

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

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

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1478
1	250	1434
2	761	1391
3	3426	1345
4	7133	1345

Stop Event

1×	node limit

Counts

173 → 141

Calls

Call 1

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

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

eval334.0ms (3.2%)

Compiler: Compiled 16423 to 10943 computations (33.4% saved)

prune120.0ms (1.1%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	674	14	688
Fresh	7	1	8
Picked	1	0	1
Done	2	2	4
Total	684	17	701

Error

Counts

701 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(+.f64 U (.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 J))))
✓	0.1b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
▶	11.4b	(+.f64 (.f64 l (.f64 J (fma.f64 1/3 (*.f64 l l) 2))) U)
	0.5b	(+.f64 (.f64 (.f64 J (*.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 l)) 3))) (cos.f64 (/.f64 K 2))) U)
▶	11.6b	(+.f64 (.f64 2 (.f64 l J)) U)
✓	0.6b	(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
	0.6b	(+.f64 U (.f64 J (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l))))
▶	0.1b	(+.f64 (.f64 (.f64 J (.f64 2 (/.f64 1 (/.f64 2 (.f64 2 (sinh.f64 l)))))) (cos.f64 (/.f64 K 2))) U)
	11.3b	(+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (.f64 2 l))) J) U)
▶	24.3b	(+.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) 2))) 2) U)
	11.2b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) J) U)
	0.4b	(fma.f64 (pow.f64 (cbrt.f64 J) 2) (.f64 (cbrt.f64 J) (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (.f64 K 1/2))))) U)
	0.2b	(fma.f64 (.f64 (.f64 2 (.f64 (sinh.f64 l) J)) (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) (cbrt.f64 (cos.f64 (*.f64 K 1/2))) U)
	0.9b	(+.f64 (.f64 2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) 3)) U)
	0.3b	(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))))))
	20.9b	U
▶	11.2b	(fma.f64 (*.f64 2 (sinh.f64 l)) J U)

Compiler

Compiled 548 to 419 computations (23.5% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series6.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`log-prod_binary64`
345×	`pow2_binary64`
291×	`pow-unpow_binary64`
245×	`pow1/3_binary64`
242×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	35
1	321	26
2	4026	26

Stop Event

1×	node limit

Counts

3 → 83

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

Outputs

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

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

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

606×	`unsub-neg_binary64`
547×	`fma-def_binary64`
416×	`associate-+l+_binary64`
340×	`associate-+r+_binary64`
334×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	1247
1	229	1201
2	705	1149
3	3040	1110
4	6399	1110

Stop Event

1×	node limit

Counts

143 → 119

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)))))
(/.f64 1 l)
(+.f64 (*.f64 -1/6 l) (/.f64 1 l))
(+.f64 (.f64 7/360 (pow.f64 l 3)) (+.f64 (.f64 -1/6 l) (/.f64 1 l)))
(+.f64 (.f64 -31/15120 (pow.f64 l 5)) (+.f64 (.f64 7/360 (pow.f64 l 3)) (+.f64 (*.f64 -1/6 l) (/.f64 1 l))))
(/.f64 2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))

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)))
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(/.f64 2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(/.f64 2 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series4.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite33.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series7.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite50.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

824×	`pow1_binary64`
760×	`add-log-exp_binary64`
760×	`log1p-expm1-u_binary64`
760×	`expm1-log1p-u_binary64`
744×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	182	33
2	2083	33

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

Outputs

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

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

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

simplify170.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1164×	`sqr-pow_binary64`
696×	`pow-sqr_binary64`
665×	`cube-prod_binary64`
573×	`fabs-mul_binary64`
450×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	786
1	56	663
2	131	663
3	310	663
4	855	663
5	1334	663
6	1915	663
7	2130	663
8	2376	663
9	2592	663
10	2847	663
11	3181	663
12	3590	663
13	4117	663
14	4779	663
15	5607	663
16	6006	663
17	6374	663
18	6712	663
19	6956	663
20	7180	663

Stop Event

1×	node limit

Counts

111 → 69

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite43.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`pow1_binary64`
700×	`add-log-exp_binary64`
699×	`log1p-expm1-u_binary64`
699×	`expm1-log1p-u_binary64`
684×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	162	10
2	1896	10

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 (*.f64 2 (sinh.f64 l)) J U)

Outputs

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

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	461
1	78	461
2	190	455
3	489	452
4	1170	452
5	2620	452
6	3054	452
7	4441	452
8	5233	452
9	7700	452

Stop Event

1×	node limit

Counts

57 → 32

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 (-.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)
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)

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

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	11.6b	(sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) 2)))
	0.2b	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) 2))) 2)
	0.2b	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) 2))
	0.0b	(.f64 (.f64 l J) 2)
✓	0.0b	(.f64 (.f64 l J) 2)
✓	0.2b	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) 2))
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) 2))) 2)
✓	11.6b	(sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) 2)))

series25.0ms (0.2%)

Counts

4 → 84

Calls

33 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`log-prod_binary64`
443×	`exp-prod_binary64`
375×	`pow-prod-down_binary64`
297×	`pow2_binary64`
252×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	266	54
2	2821	54

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

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

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

732×	`associate-l_binary64`
724×	`fma-def_binary64`
668×	`associate-r_binary64`
641×	`distribute-lft-out_binary64`
586×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1908
1	263	1449
2	1001	1351
3	5177	1285

Stop Event

1×	node limit

Counts

224 → 146

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J)))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J))) (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 K 2)) (sqrt.f64 (.f64 l J)))))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J))) (+.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 K 2)) (sqrt.f64 (.f64 l J)))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)) (pow.f64 K 4))) (sqrt.f64 (/.f64 1 (*.f64 l J)))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1/46080 (.f64 l J)) (.f64 -1/16 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)))) (pow.f64 K 6))) (sqrt.f64 (/.f64 1 (.f64 l J))))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J))) (+.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 K 2)) (sqrt.f64 (.f64 l J)))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)) (pow.f64 K 4))) (sqrt.f64 (/.f64 1 (*.f64 l J))))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J)) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (.f64 l J)))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J)) (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2))) (.f64 1/256 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J))))) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (*.f64 l J))))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J)) (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2))) (.f64 1/256 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (.f64 l J)))) (.f64 (pow.f64 K 6) (+.f64 (.f64 -1/16 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)))) (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 -1/46080 (.f64 l J)) (.f64 -1/16 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2))))))))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 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 (sqrt.f64 2) (sqrt.f64 (.f64 l J)))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J))) (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 K 2)) (sqrt.f64 (.f64 l J)))))
(fma.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J)) (.f64 -1/16 (.f64 (sqrt.f64 (.f64 l J)) (.f64 (sqrt.f64 2) (.f64 K K)))))
(.f64 (sqrt.f64 (.f64 l J)) (+.f64 (sqrt.f64 2) (.f64 (.f64 -1/16 (*.f64 K K)) (sqrt.f64 2))))
(.f64 (sqrt.f64 (.f64 l J)) (fma.f64 (.f64 (sqrt.f64 2) -1/16) (.f64 K K) (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J))) (+.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 K 2)) (sqrt.f64 (.f64 l J)))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)) (pow.f64 K 4))) (sqrt.f64 (/.f64 1 (*.f64 l J)))))))
(fma.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J)) (fma.f64 -1/16 (.f64 (sqrt.f64 (.f64 l J)) (.f64 (sqrt.f64 2) (.f64 K K))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (.f64 (.f64 l J) 1/384) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) (pow.f64 K 4)) (sqrt.f64 (/.f64 1 (.f64 l J))))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 l (.f64 J 1/384)) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) (.f64 (pow.f64 K 4) (sqrt.f64 (/.f64 1 (.f64 l J))))))) (.f64 (sqrt.f64 (.f64 l J)) (+.f64 (sqrt.f64 2) (.f64 (.f64 -1/16 (.f64 K K)) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (fma.f64 l (.f64 J 1/384) (.f64 (.f64 l J) -1/256)) (.f64 (pow.f64 K 4) (sqrt.f64 (/.f64 (/.f64 1 J) l))))) (.f64 (sqrt.f64 (.f64 l J)) (fma.f64 (.f64 (sqrt.f64 2) -1/16) (.f64 K K) (sqrt.f64 2))))
(fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (/.f64 1 (.f64 l J))) (.f64 (.f64 1/2 (pow.f64 K 4)) (.f64 (.f64 l J) -1/768))) (.f64 (sqrt.f64 (.f64 l J)) (fma.f64 (.f64 (sqrt.f64 2) -1/16) (.f64 K K) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1/46080 (.f64 l J)) (.f64 -1/16 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)))) (pow.f64 K 6))) (sqrt.f64 (/.f64 1 (.f64 l J))))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J))) (+.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 K 2)) (sqrt.f64 (.f64 l J)))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)) (pow.f64 K 4))) (sqrt.f64 (/.f64 1 (*.f64 l J))))))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (+.f64 (.f64 (.f64 l J) -1/46080) (.f64 1/16 (-.f64 (.f64 (.f64 l J) 1/384) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)))) (pow.f64 K 6)) (sqrt.f64 (/.f64 1 (.f64 l J))))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (.f64 l J)) (fma.f64 -1/16 (.f64 (sqrt.f64 (.f64 l J)) (.f64 (sqrt.f64 2) (.f64 K K))) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (.f64 (.f64 l J) 1/384) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) (pow.f64 K 4)) (sqrt.f64 (/.f64 1 (*.f64 l J)))))))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (.f64 l J) -1/46080 (.f64 (-.f64 (.f64 l (.f64 J 1/384)) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) 1/16)) (.f64 (pow.f64 K 6) (sqrt.f64 (/.f64 1 (.f64 l J)))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 l (.f64 J 1/384)) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) (.f64 (pow.f64 K 4) (sqrt.f64 (/.f64 1 (.f64 l J))))))) (.f64 (sqrt.f64 (.f64 l J)) (+.f64 (sqrt.f64 2) (.f64 (.f64 -1/16 (.f64 K K)) (sqrt.f64 2))))))
(fma.f64 (sqrt.f64 (.f64 l J)) (fma.f64 (.f64 (sqrt.f64 2) -1/16) (.f64 K K) (sqrt.f64 2)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 J) l))) (+.f64 (.f64 (fma.f64 l (.f64 J 1/384) (.f64 (.f64 l J) -1/256)) (.f64 (sqrt.f64 2) (pow.f64 K 4))) (.f64 (fma.f64 l (.f64 J -1/46080) (.f64 (fma.f64 l (.f64 J 1/384) (.f64 (.f64 l J) -1/256)) 1/16)) (*.f64 (sqrt.f64 2) (pow.f64 K 6))))))
(fma.f64 (sqrt.f64 (.f64 l J)) (fma.f64 (.f64 (sqrt.f64 2) -1/16) (.f64 K K) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 l J)))) (+.f64 (.f64 (.f64 (.f64 l J) -1/768) (pow.f64 K 4)) (.f64 (fma.f64 -1/16 (.f64 (.f64 l J) 1/768) (.f64 l (*.f64 J -1/46080))) (pow.f64 K 6))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 J (.f64 l (cos.f64 (.f64 K 1/2))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 J (.f64 l (cos.f64 (.f64 K 1/2))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 J (.f64 l (cos.f64 (.f64 K 1/2))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 J (.f64 l (cos.f64 (.f64 K 1/2))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 J (.f64 l (cos.f64 (.f64 K 1/2))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 J (.f64 l (cos.f64 (.f64 K 1/2))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 J (.f64 l (cos.f64 (.f64 K 1/2))))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2)))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 J (.f64 l (cos.f64 (.f64 K 1/2))))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J)) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (.f64 l J)))))
(fma.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (.f64 l J) (.f64 K K)))))
(.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 -1/4) K 2)))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J)) (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2))) (.f64 1/256 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J))))) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (*.f64 l J))))))
(fma.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J) (fma.f64 (pow.f64 K 4) (fma.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 (.f64 l J) 1/384) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) (.f64 (.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2)) 1/256)) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (.f64 l J) (*.f64 K K))))))
(+.f64 (.f64 (pow.f64 K 4) (fma.f64 (-.f64 (.f64 l (.f64 J 1/384)) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) 2 (.f64 (.f64 l J) 1/128))) (.f64 (.f64 l J) (+.f64 2 (.f64 (*.f64 K K) -1/4))))
(fma.f64 (.f64 l J) (fma.f64 (.f64 K K) -1/4 2) (.f64 (pow.f64 K 4) (fma.f64 (fma.f64 l (.f64 J 1/384) (.f64 (.f64 l J) -1/256)) 2 (.f64 l (.f64 J 1/128)))))
(fma.f64 (pow.f64 K 4) (+.f64 (.f64 (.f64 l J) 5/384) (.f64 (.f64 l J) -1/128)) (.f64 J (.f64 l (fma.f64 (*.f64 K -1/4) K 2))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J)) (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2))) (.f64 1/256 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 K 2) (.f64 l J)))) (.f64 (pow.f64 K 6) (+.f64 (.f64 -1/16 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2)))) (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 -1/46080 (.f64 l J)) (.f64 -1/16 (-.f64 (.f64 1/384 (.f64 l J)) (pow.f64 (.f64 -1/16 (sqrt.f64 (.f64 l J))) 2))))))))))
(fma.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 l J) (fma.f64 (pow.f64 K 4) (fma.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (.f64 (.f64 l J) 1/384) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) (.f64 (.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2)) 1/256)) (fma.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (.f64 l J) (.f64 K K))) (.f64 (pow.f64 K 6) (fma.f64 -1/16 (.f64 (-.f64 (.f64 (.f64 l J) 1/384) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) (pow.f64 (sqrt.f64 2) 2)) (.f64 (+.f64 (.f64 (.f64 l J) -1/46080) (.f64 1/16 (-.f64 (.f64 (.f64 l J) 1/384) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)))) (pow.f64 (sqrt.f64 2) 2)))))))
(+.f64 (+.f64 (.f64 (pow.f64 K 4) (fma.f64 (-.f64 (.f64 l (.f64 J 1/384)) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) 2 (.f64 (.f64 l J) 1/128))) (.f64 (.f64 l J) (+.f64 2 (.f64 (.f64 K K) -1/4)))) (.f64 (pow.f64 K 6) (fma.f64 (fma.f64 (.f64 l J) -1/46080 (.f64 (-.f64 (.f64 l (.f64 J 1/384)) (pow.f64 (.f64 (sqrt.f64 (.f64 l J)) -1/16) 2)) 1/16)) 2 (.f64 (-.f64 (.f64 l (.f64 J 1/384)) (pow.f64 (.f64 (sqrt.f64 (*.f64 l J)) -1/16) 2)) -1/8))))
(+.f64 (.f64 (pow.f64 K 6) (fma.f64 (fma.f64 l (.f64 J 1/384) (.f64 (.f64 l J) -1/256)) -1/8 (+.f64 (.f64 (fma.f64 l (.f64 J 1/384) (.f64 (.f64 l J) -1/256)) 1/8) (.f64 l (.f64 J -1/23040))))) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) -1/4 2) (.f64 (pow.f64 K 4) (fma.f64 (fma.f64 l (.f64 J 1/384) (.f64 (.f64 l J) -1/256)) 2 (.f64 l (.f64 J 1/128))))))
(+.f64 (.f64 (pow.f64 K 6) (+.f64 (.f64 l (.f64 J -1/23040)) (.f64 (.f64 (.f64 l J) -1/768) 0))) (fma.f64 (pow.f64 K 4) (+.f64 (.f64 (.f64 l J) 5/384) (.f64 (.f64 l J) -1/128)) (.f64 J (.f64 l (fma.f64 (*.f64 K -1/4) K 2)))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 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 (pow.f64 (sqrt.f64 2) 2) (.f64 l J) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (.f64 l J) (.f64 K K)))))
(.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 -1/4) K 2)))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J)))))
(fma.f64 2 (.f64 l J) (fma.f64 1/192 (.f64 (.f64 l J) (pow.f64 K 4)) (.f64 (.f64 (.f64 l J) (*.f64 K K)) -1/4)))
(fma.f64 (.f64 l J) 2 (.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 (pow.f64 K 4) 1/192 (.f64 K (.f64 K -1/4)))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) (.f64 l J))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) (.f64 l J))) (.f64 -1/23040 (.f64 (pow.f64 K 6) (*.f64 l J))))))
(fma.f64 2 (.f64 l J) (fma.f64 1/192 (.f64 (.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 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 (.f64 (pow.f64 K 4) 1/192) (fma.f64 (pow.f64 K 6) -1/23040 (.f64 K (*.f64 K -1/4)))) 2))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 (.f64 (.f64 l J) (cos.f64 (.f64 K 1/2))) (pow.f64 (sqrt.f64 2) 2))
(.f64 (.f64 l J) (.f64 (cos.f64 (.f64 K 1/2)) 2))
(.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))
(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2)))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))
(.f64 2 (.f64 l J))
(.f64 (.f64 l J) (pow.f64 (sqrt.f64 2) 2))
(.f64 l (.f64 J 2))

eval217.0ms (2.1%)

Compiler: Compiled 8535 to 5751 computations (32.6% saved)

prune117.0ms (1.1%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	446	7	453
Fresh	4	6	10
Picked	0	1	1
Done	2	4	6
Total	452	18	470

Error

Counts

470 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.2b	(+.f64 U (.f64 2 (.f64 (sinh.f64 l) J)))
▶	11.4b	(+.f64 (.f64 l (.f64 J (+.f64 2 (.f64 1/3 (.f64 l l))))) U)
▶	0.6b	(+.f64 U (.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 J))))
✓	0.1b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
	15.2b	(+.f64 (.f64 (.f64 (.f64 l (.f64 J 2)) (sqrt.f64 (cos.f64 (.f64 1/2 K)))) (sqrt.f64 (cos.f64 (.f64 1/2 K)))) U)
	0.6b	(+.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2))) U)
	0.5b	(+.f64 (.f64 (.f64 J (*.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 l)) 3))) (cos.f64 (/.f64 K 2))) U)
✓	11.6b	(+.f64 (.f64 2 (.f64 l J)) U)
✓	0.6b	(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
▶	11.3b	(+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (.f64 2 l))) J) U)
✓	24.3b	(+.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (.f64 l J) 2))) 2) U)
✓	11.2b	(fma.f64 (*.f64 2 (sinh.f64 l)) J U)
	0.6b	(+.f64 (.f64 (.f64 J (*.f64 2 (/.f64 1 (/.f64 1 l)))) (cos.f64 (/.f64 K 2))) U)
	0.7b	(+.f64 (.f64 (.f64 (.f64 l (.f64 J 2)) (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) (cbrt.f64 (cos.f64 (.f64 1/2 K)))) U)
	0.9b	(+.f64 (.f64 2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) 3)) U)
▶	0.3b	(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))))))
	20.9b	U
	11.4b	(+.f64 (.f64 l (+.f64 (.f64 (.f64 1/3 (.f64 l l)) J) (*.f64 2 J))) U)

Compiler

Compiled 543 to 414 computations (23.8% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series26.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
16.0ms	K	@	0	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l))))))
2.0ms	J	@	inf	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l))))))
1.0ms	J	@	0	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l))))))
1.0ms	K	@	inf	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l))))))
1.0ms	l	@	inf	(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l))))))

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`log-prod_binary64`
457×	`prod-diff_binary64`
279×	`expm1-udef_binary64`
279×	`log1p-udef_binary64`
257×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	53
1	321	47
2	4083	47

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

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

Outputs

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

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

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

simplify104.0ms (1%)

Algorithm

1×	egg-herbie

Rules

668×	`distribute-lft-in_binary64`
668×	`distribute-rgt-in_binary64`
455×	`associate-+l+_binary64`
447×	`distribute-rgt-out_binary64`
418×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	1441
1	138	1275
2	454	1252
3	2647	1238
4	7584	1238

Stop Event

1×	node limit

Counts

183 → 136

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite54.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`log-prod_binary64`
397×	`pow-prod-down_binary64`
354×	`prod-diff_binary64`
276×	`pow2_binary64`
200×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	220	25
2	2885	25

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 J 2) (*.f64 (*.f64 l l) (*.f64 1/3 J)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 l l) (*.f64 1/3 J)) (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 J (fma.f64 1/3 (*.f64 l l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 J 2) 1) (*.f64 (*.f64 (*.f64 l l) (*.f64 1/3 J)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (fma.f64 1/3 (*.f64 l l) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (fma.f64 1/3 (*.f64 l l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (fma.f64 1/3 (*.f64 l l) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (fma.f64 1/3 (*.f64 l l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 J (fma.f64 1/3 (*.f64 l l) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 J 2) 3) (*.f64 (pow.f64 J 3) (*.f64 (pow.f64 l 6) 1/27))) (+.f64 (pow.f64 (*.f64 J 2) 2) (-.f64 (pow.f64 (*.f64 (*.f64 l l) (*.f64 1/3 J)) 2) (*.f64 (*.f64 J 2) (*.f64 (*.f64 l l) (*.f64 1/3 J))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 J 2) 2) (pow.f64 (*.f64 (*.f64 l l) (*.f64 1/3 J)) 2)) (-.f64 (*.f64 J 2) (*.f64 (*.f64 l l) (*.f64 1/3 J))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 l 6) 1/27 8) J) (fma.f64 (*.f64 1/3 (*.f64 l l)) (fma.f64 1/3 (*.f64 l l) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 (pow.f64 l 4) 1/9)) J) (+.f64 2 (*.f64 -1/3 (*.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 J (fma.f64 (pow.f64 l 6) 1/27 8)) (fma.f64 (*.f64 1/3 (*.f64 l l)) (fma.f64 1/3 (*.f64 l l) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 J (-.f64 4 (*.f64 (pow.f64 l 4) 1/9))) (+.f64 2 (*.f64 -1/3 (*.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 J (fma.f64 1/3 (*.f64 l l) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 J (fma.f64 1/3 (*.f64 l l) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 J (fma.f64 1/3 (*.f64 l l) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 J (fma.f64 1/3 (*.f64 l l) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 J (fma.f64 1/3 (*.f64 l l) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 J (fma.f64 1/3 (*.f64 l l) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 J) (fma.f64 1/3 (*.f64 l l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 J (fma.f64 1/3 (*.f64 l l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 l l) (*.f64 1/3 J))) (exp.f64 (*.f64 J 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 J (fma.f64 1/3 (*.f64 l l) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 J (fma.f64 1/3 (*.f64 l l) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 J 2 (*.f64 (*.f64 l l) (*.f64 1/3 J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 J (*.f64 1/3 (*.f64 l l)) (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 J (*.f64 (*.f64 l l) (*.f64 1/3 J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 (*.f64 l l) J) (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l l) (*.f64 1/3 J) (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (*.f64 l l)) J (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 J 2) (*.f64 (*.f64 l l) (*.f64 1/3 J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 l l) (*.f64 1/3 J)) (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 J J)) (*.f64 (cbrt.f64 J) 2) (*.f64 (*.f64 l l) (*.f64 1/3 J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 J J)) (*.f64 (cbrt.f64 J) (*.f64 1/3 (*.f64 l l))) (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 l 4) 1/9)) (*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 l l))) J) (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 J) (*.f64 (sqrt.f64 J) 2) (*.f64 (*.f64 l l) (*.f64 1/3 J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 J) (*.f64 (sqrt.f64 J) (*.f64 1/3 (*.f64 l l))) (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l (sqrt.f64 1/3)) (*.f64 (*.f64 l (sqrt.f64 1/3)) J) (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 J 2) 1 (*.f64 (*.f64 (*.f64 l l) (*.f64 1/3 J)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 l) (*.f64 J l) (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 l l) (*.f64 1/3 J))) 2) (cbrt.f64 (*.f64 (*.f64 l l) (*.f64 1/3 J))) (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 J 2)) 2) (cbrt.f64 (*.f64 J 2)) (*.f64 (*.f64 l l) (*.f64 1/3 J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 J) (*.f64 l (sqrt.f64 1/3))) (*.f64 (sqrt.f64 J) (*.f64 l (sqrt.f64 1/3))) (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 J 2)) (sqrt.f64 (*.f64 J 2)) (*.f64 (*.f64 l l) (*.f64 1/3 J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (*.f64 J J))) (cbrt.f64 J) (*.f64 (*.f64 l l) (*.f64 1/3 J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 J)) (sqrt.f64 J) (*.f64 (*.f64 l l) (*.f64 1/3 J)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 J 1/3) (*.f64 l l) (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 J (*.f64 l l)) 1/3 (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 J (cbrt.f64 (*.f64 (pow.f64 l 4) 1/9))) (cbrt.f64 (*.f64 1/3 (*.f64 l l))) (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 J (*.f64 l (sqrt.f64 1/3))) (*.f64 l (sqrt.f64 1/3)) (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 J (*.f64 1/3 l)) l (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 l (sqrt.f64 1/3)) (cbrt.f64 J)) 2) (cbrt.f64 J) (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (*.f64 l l)) (sqrt.f64 J)) (sqrt.f64 J) (*.f64 J 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 J (fma.f64 1/3 (*.f64 l l) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 J (fma.f64 1/3 (*.f64 l l) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 J (fma.f64 1/3 (*.f64 l l) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 J (fma.f64 1/3 (*.f64 l l) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 J (fma.f64 1/3 (*.f64 l l) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 J (fma.f64 1/3 (*.f64 l l) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 J (fma.f64 1/3 (*.f64 l l) 2))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 J (*.f64 (fma.f64 1/3 (*.f64 l l) 2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 J 2) l) (*.f64 (*.f64 (*.f64 l l) (*.f64 1/3 J)) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 J l)) (*.f64 (*.f64 1/3 (*.f64 l l)) (*.f64 J l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/3 (*.f64 l l)) (*.f64 J l)) (*.f64 2 (*.f64 J l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (*.f64 J 2)) (*.f64 l (*.f64 (*.f64 l l) (*.f64 1/3 J))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 J l) 2) (*.f64 (*.f64 J l) (*.f64 1/3 (*.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 J l) (*.f64 1/3 (*.f64 l l))) (*.f64 (*.f64 J l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 (*.f64 l l) 2)) (*.f64 J l))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 (*.f64 l l) 2)) (*.f64 J l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 (*.f64 l l) 2)) (*.f64 J l)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 (*.f64 l l) 2)) (*.f64 J l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 J (*.f64 (fma.f64 1/3 (*.f64 l l) 2) l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 J l) (fma.f64 (pow.f64 l 6) 1/27 8)) (fma.f64 (*.f64 1/3 (*.f64 l l)) (fma.f64 1/3 (*.f64 l l) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 J l) (-.f64 4 (*.f64 (pow.f64 l 4) 1/9))) (+.f64 2 (*.f64 -1/3 (*.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 J (*.f64 (fma.f64 1/3 (*.f64 l l) 2) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 J (*.f64 (fma.f64 1/3 (*.f64 l l) 2) l)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 J (*.f64 (fma.f64 1/3 (*.f64 l l) 2) l)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 J (*.f64 (fma.f64 1/3 (*.f64 l l) 2) l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 J (*.f64 (fma.f64 1/3 (*.f64 l l) 2) l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 J (*.f64 (fma.f64 1/3 (*.f64 l l) 2) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 1/3 (*.f64 l l) 2)) (*.f64 J l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 J (*.f64 (fma.f64 1/3 (*.f64 l l) 2) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 J (*.f64 (fma.f64 1/3 (*.f64 l l) 2) l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 J (*.f64 (fma.f64 1/3 (*.f64 l l) 2) l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 J l) (*.f64 (*.f64 1/3 (*.f64 l l)) (*.f64 J l)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 l (*.f64 J 2) (*.f64 l (*.f64 (*.f64 l l) (*.f64 1/3 J))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (*.f64 l l)) (*.f64 J l) (*.f64 2 (*.f64 J l)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 J 2) l (*.f64 (*.f64 (*.f64 l l) (*.f64 1/3 J)) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 J l) 2 (*.f64 (*.f64 J l) (*.f64 1/3 (*.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 J l) (*.f64 1/3 (*.f64 l l)) (*.f64 (*.f64 J l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 J (*.f64 (fma.f64 1/3 (*.f64 l l) 2) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 J (*.f64 (fma.f64 1/3 (*.f64 l l) 2) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 J (*.f64 (fma.f64 1/3 (*.f64 l l) 2) l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 J (*.f64 (fma.f64 1/3 (*.f64 l l) 2) l)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 J (*.f64 (fma.f64 1/3 (*.f64 l l) 2) l)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 J (*.f64 (fma.f64 1/3 (*.f64 l l) 2) l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 J (*.f64 (fma.f64 1/3 (*.f64 l l) 2) l))) 1) 1))))))

simplify167.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1164×	`sqr-pow_binary64`
696×	`pow-sqr_binary64`
665×	`cube-prod_binary64`
573×	`fabs-mul_binary64`
450×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	681
1	56	576
2	131	576
3	310	576
4	855	576
5	1334	576
6	1915	576
7	2130	576
8	2376	576
9	2592	576
10	2847	576
11	3181	576
12	3590	576
13	4117	576
14	4779	576
15	5607	576
16	6006	576
17	6374	576
18	6712	576
19	6956	576
20	7180	576

Stop Event

1×	node limit

Counts

143 → 108

Calls

Call 1

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

localize7.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series7.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`prod-diff_binary64`
486×	`log-prod_binary64`
302×	`pow-prod-down_binary64`
258×	`pow2_binary64`
255×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	194	25
2	2587	25

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

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

Outputs

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

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

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

simplify118.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

629×	`fma-neg_binary64`
426×	`unswap-sqr_binary64`
426×	`times-frac_binary64`
387×	`fma-def_binary64`
383×	`*-commutative_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	54	1205
1	152	1199
2	428	1171
3	1344	1171
4	2393	1171
5	2805	1151
6	3273	1151
7	4744	1151
8	6443	1151

Stop Event

1×	node limit

Counts

180 → 126

Calls

Call 1

Inputs
(.f64 2 (.f64 l J))
(+.f64 (.f64 2 (.f64 l J)) (.f64 1/3 (.f64 (pow.f64 l 3) J)))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J))))
(+.f64 (.f64 2 (.f64 l J)) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) J)) (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) J)) (.f64 1/60 (.f64 (pow.f64 l 5) J)))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J)
(*.f64 l J)
(+.f64 (.f64 1/6 (.f64 (pow.f64 l 3) J)) (*.f64 l J))
(+.f64 (.f64 1/6 (.f64 (pow.f64 l 3) J)) (+.f64 (.f64 1/120 (.f64 (pow.f64 l 5) J)) (*.f64 l J)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 l 3) J)) (+.f64 (.f64 1/5040 (.f64 (pow.f64 l 7) J)) (+.f64 (.f64 1/120 (.f64 (pow.f64 l 5) J)) (*.f64 l J))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(.f64 1/2 (.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(+.f64 (*.f64 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)
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)

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

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series9.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite54.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`log-prod_binary64`
426×	`exp-prod_binary64`
390×	`prod-exp_binary64`
351×	`pow-prod-down_binary64`
280×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	222	27
2	2579	27

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

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

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

simplify133.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1912×	`fma-def_binary64`
654×	`unswap-sqr_binary64`
632×	`sqr-pow_binary64`
390×	`pow-sqr_binary64`
386×	`*-commutative_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	47	902
1	133	885
2	395	856
3	1423	856
4	2009	856
5	2438	856
6	2547	856
7	2673	856
8	2809	848
9	4548	848
10	4790	848
11	6146	848
12	6697	848
13	7350	848

Stop Event

1×	node limit

Counts

124 → 82

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

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

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series7.0ms (0.1%)

Counts

3 → 30

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(*.f64 1/3 (pow.f64 l 3))
1.0ms	J	@	0	(.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (.f64 2 l))) J)
1.0ms	J	@	inf	(.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (.f64 2 l))) J)
1.0ms	J	@	-inf	(.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (.f64 2 l))) J)
0.0ms	l	@	inf	(.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (.f64 2 l))) J)

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`log-prod_binary64`
643×	`fma-def_binary64`
337×	`fma-neg_binary64`
294×	`expm1-udef_binary64`
294×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	359	46
2	4466	46

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l))) J))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/3 (pow.f64 l 3)) J) (*.f64 (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)) J))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)) J) (*.f64 (*.f64 1/3 (pow.f64 l 3)) J))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 1/60 (pow.f64 l 5))) J) (*.f64 (+.f64 l l) J))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 J (*.f64 1/3 (pow.f64 l 3))) (*.f64 J (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 J (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l))) (*.f64 J (*.f64 1/3 (pow.f64 l 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 J (fma.f64 1/3 (pow.f64 l 3) (*.f64 1/60 (pow.f64 l 5)))) (*.f64 J (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l))))) (cbrt.f64 (pow.f64 (exp.f64 J) (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 J) (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 J) (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l))) J))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 l 3) 3) 1/27 (pow.f64 (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)) 3)) J) (fma.f64 (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)) (-.f64 (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)) (*.f64 1/3 (pow.f64 l 3))) (*.f64 (pow.f64 l 6) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 l 6) 1/9) (pow.f64 (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)) 2)) J) (-.f64 (*.f64 1/3 (pow.f64 l 3)) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 J (fma.f64 (pow.f64 (pow.f64 l 3) 3) 1/27 (pow.f64 (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)) 3))) (fma.f64 (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)) (-.f64 (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)) (*.f64 1/3 (pow.f64 l 3))) (*.f64 (pow.f64 l 6) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 J (-.f64 (*.f64 (pow.f64 l 6) 1/9) (pow.f64 (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)) 2))) (-.f64 (*.f64 1/3 (pow.f64 l 3)) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l))) J) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l))) J) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l))) J)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l))) J)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l))) J) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 J) (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l))) J))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l))) J) 3))))) (#(struct:change 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(pow.f64 l 5/2) (*.f64 (pow.f64 l 5/2) 1/60) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 l 3/2) (*.f64 (pow.f64 l 3/2) 1/3) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 1/60 (pow.f64 l 5))) 1 (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 1/60 (pow.f64 l 5)))) (cbrt.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 1/60 (pow.f64 l 5))))) (cbrt.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 1/60 (pow.f64 l 5)))) (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 1/60 (pow.f64 l 5)))) (sqrt.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 1/60 (pow.f64 l 5)))) (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (*.f64 l l))) (cbrt.f64 l) (fma.f64 1/3 (pow.f64 l 3) (*.f64 1/60 (pow.f64 l 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 l)) (sqrt.f64 l) (fma.f64 1/3 (pow.f64 l 3) (*.f64 1/60 (pow.f64 l 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 l) (*.f64 l l) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (*.f64 l l)) l (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (pow.f64 l 3/2)) (pow.f64 l 3/2) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/60 (cbrt.f64 (pow.f64 l 10))) (cbrt.f64 (pow.f64 l 5)) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/60 (pow.f64 l 5/2)) (pow.f64 l 5/2) (fma.f64 l 2 (*.f64 1/3 (pow.f64 l 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (+.f64 l l)))) 1))))))

simplify125.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

826×	`sqr-pow_binary64`
685×	`fma-def_binary64`
621×	`associate-l_binary64`
615×	`*-commutative_binary64`
596×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	591
1	67	498
2	169	498
3	446	498
4	922	498
5	2190	498
6	2737	498
7	3734	498
8	3849	498
9	4022	498
10	4245	498
11	4834	498
12	5286	498
13	5869	498
14	6604	498
15	7524	498

Stop Event

1×	node limit

Counts

170 → 159

Calls

Call 1

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

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

eval360.0ms (3.4%)

Compiler: Compiled 13230 to 8419 computations (36.4% saved)

prune157.0ms (1.5%)

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	688	4	692
Fresh	4	4	8
Picked	0	1	1
Done	1	8	9
Total	693	17	710

Error

Counts

710 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	11.2b	(+.f64 U (.f64 2 (.f64 (sinh.f64 l) J)))
✓	11.4b	(+.f64 (.f64 l (.f64 J (+.f64 2 (.f64 1/3 (.f64 l l))))) U)
	11.4b	(+.f64 (.f64 l (+.f64 (.f64 J 2) (.f64 (.f64 l l) (*.f64 1/3 J)))) U)
✓	0.6b	(+.f64 U (.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 J))))
✓	0.1b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
	15.2b	(+.f64 (.f64 (.f64 (.f64 l (.f64 J 2)) (sqrt.f64 (cos.f64 (.f64 1/2 K)))) (sqrt.f64 (cos.f64 (.f64 1/2 K)))) U)
	20.9b	U
	0.6b	(+.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (.f64 l 2))) U)
✓	11.6b	(+.f64 (.f64 2 (.f64 l J)) U)
✓	0.6b	(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J))) U)
✓	11.2b	(fma.f64 (*.f64 2 (sinh.f64 l)) J U)
	0.6b	(+.f64 (.f64 (.f64 J (*.f64 2 (/.f64 1 (/.f64 1 l)))) (cos.f64 (/.f64 K 2))) U)
	0.7b	(+.f64 (.f64 (.f64 (.f64 l (.f64 J 2)) (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))))) (cbrt.f64 (cos.f64 (.f64 1/2 K)))) U)
✓	11.3b	(+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (.f64 2 l))) J) U)
	33.1b	(+.f64 U (.f64 l (pow.f64 (sqrt.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 J J))) 2)))
	0.9b	(+.f64 U (.f64 l (pow.f64 (cbrt.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (+.f64 J J))) 3)))
✓	0.3b	(+.f64 U (.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))))))

Compiler

Compiled 291 to 219 computations (24.7% saved)

regimes188.0ms (1.8%)

Counts

40 → 1

Calls

Call 1

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

21.0ms	U
20.0ms	(/.f64 K 2)
18.0ms	K
18.0ms	l
18.0ms	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 755 to 497 computations (34.2% saved)

regimes94.0ms (0.9%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

10 calls:

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

Results

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

Compiler

Compiled 265 to 175 computations (34% saved)

regimes72.0ms (0.7%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

8 calls:

10.0ms	(/.f64 K 2)
9.0ms	K
9.0ms	J
8.0ms	(/.f64 K 2)
8.0ms	U

Results

Error	Segments	Branch
0.6b	1	`J`
0.6b	1	`l`
0.6b	1	`K`
0.6b	1	`U`
0.6b	1	`(cos.f64 (/.f64 K 2))`
0.6b	1	`(cos.f64 (/.f64 K 2))`
0.6b	1	`(/.f64 K 2)`
0.6b	1	`(/.f64 K 2)`

Compiler

Compiled 199 to 132 computations (33.7% saved)

regimes36.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	K
8.0ms	J
7.0ms	U
7.0ms	l

Results

Error	Segments	Branch
0.6b	1	`J`
0.6b	1	`l`
0.6b	1	`K`
0.6b	1	`U`

Compiler

Compiled 141 to 87 computations (38.3% saved)

regimes30.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	U
7.0ms	J
6.0ms	K
6.0ms	l

Results

Error	Segments	Branch
0.6b	1	`J`
0.6b	1	`l`
0.6b	1	`K`
0.6b	1	`U`

Compiler

Compiled 105 to 65 computations (38.1% saved)

regimes28.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	K
6.0ms	U
6.0ms	J
6.0ms	l

Results

Error	Segments	Branch
11.2b	1	`J`
11.2b	1	`l`
11.2b	1	`K`
11.2b	1	`U`

Compiler

Compiled 93 to 57 computations (38.7% saved)

regimes25.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
11.4b	1	`J`
11.4b	1	`l`
11.4b	1	`K`
11.4b	1	`U`

Compiler

Compiled 77 to 48 computations (37.7% saved)

regimes21.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	K
4.0ms	l
4.0ms	J
4.0ms	U

Results

Error	Segments	Branch
11.6b	1	`J`
11.6b	1	`l`
11.6b	1	`K`
11.6b	1	`U`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes30.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
U
U
U

Outputs
U

Calls

4 calls:

18.0ms	K
4.0ms	l
4.0ms	U
4.0ms	J

Results

Error	Segments	Branch
20.9b	1	`J`
20.9b	1	`l`
20.9b	1	`K`
20.9b	1	`U`

Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
9×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	143
1	80	143

Stop Event

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

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

end73.0ms (0.7%)

Stop Event

1×

fuel

Compiler

Compiled 232 to 161 computations (30.6% saved)