Details

analyze1.6s (13.9%)

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
28.1%	62.2%	9.7%	13
32.7%	56.8%	10.4%	14

Compiler

Compiled 20 to 15 computations (25% saved)

sample7.0s (60.7%)

Results

1.7s	1731×	body	1024	valid
1.6s	2077×	body	1024	invalid
1.1s	4615×	body	128	valid
758.0ms	1164×	body	512	valid
653.0ms	2898×	body	128	invalid
588.0ms	1000×	body	512	invalid
291.0ms	699×	body	256	valid
222.0ms	479×	body	256	invalid
64.0ms	47×	body	2048	valid

preprocess50.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

672×	`fma-def_binary64`
472×	`associate-l_binary64`
454×	`associate-r_binary64`
251×	`unsub-neg_binary64`
219×	`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
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 19 to 14 computations (26.3% saved)

simplify30.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

745×	`fma-def_binary64`
464×	`fma-neg_binary64`
394×	`times-frac_binary64`
314×	`associate-l_binary64`
236×	`associate-r_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

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)

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

15.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	15.9b	(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 69 to 45 computations (34.8% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series22.0ms (0.2%)

Counts

3 → 80

Calls

21 calls:

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

rewrite142.0ms (1.2%)

Algorithm

3×	egg-rewrite-iter-limit
3×	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	30
1	295	30
2	4421	30
0	6	6
1	130	6
2	2149	6
0	6	6
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×	iter limit
1×	unsound
1×	unsound

Counts

3 → 29

Calls

Call 1

Inputs
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.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 +.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 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 expm1.f64 (log1p.f64 (.f64 2 (sinh.f64 l))))))))
((#(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 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 expm1.f64 (log1p.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 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)))))) (#(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)))))))

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 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 expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 l))))))))

((#(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 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 expm1.f64 (log1p.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 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)))))) (#(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)))))))

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

792×	`fma-def_binary64`
415×	`associate-l_binary64`
408×	`distribute-rgt-in_binary64`
294×	`associate-r_binary64`
248×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1789
1	311	1729
2	920	1632
3	3871	1574

Stop Event

1×	node limit

Counts

109 → 73

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

prune110.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	67	6	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	7	74

Error

0.0b

Counts

74 → 7

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)
✓	15.9b	(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
	0.7b	(fma.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (cos.f64 (/.f64 K 2))) U)
	33.0b	(.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)))
	1.4b	(.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)))
	8.6b	(fma.f64 J (.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 2 (sinh.f64 l))) (.f64 2 (sinh.f64 l)))) (cos.f64 (/.f64 K 2))) U)
	0.8b	(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)

Compiler

Compiled 1853 to 1107 computations (40.3% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.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)))
✓	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)))

series51.0ms (0.4%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	l	@	inf	(cbrt.f64 (*.f64 2 (sinh.f64 l)))
7.0ms	K	@	inf	(.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)))
7.0ms	l	@	-inf	(.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)))
5.0ms	l	@	inf	(.f64 (cbrt.f64 (.f64 2 (sinh.f64 l))) (cbrt.f64 (*.f64 2 (sinh.f64 l))))
5.0ms	l	@	-inf	(cbrt.f64 (*.f64 2 (sinh.f64 l)))

rewrite91.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

549×	`log-prod_binary64`
196×	`expm1-udef_binary64`
196×	`log1p-udef_binary64`
180×	`pow3_binary64`
168×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	246	39
2	2809	39

Stop Event

1×	node limit

Counts

4 → 98

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

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

510×	`associate-+l+_binary64`
454×	`*-commutative_binary64`
425×	`fma-def_binary64`
333×	`associate-+r+_binary64`
224×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	1124
1	216	1102
2	610	1049
3	2345	1015

Stop Event

1×	node limit

Counts

150 → 126

Calls

Call 1

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

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

prune618.0ms (5.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	185	8	193

Error

Counts

193 → 8

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)
✓	15.9b	(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
▶	0.4b	(fma.f64 J (pow.f64 (cbrt.f64 (.f64 (sinh.f64 l) (.f64 2 (cos.f64 (*.f64 K 1/2))))) 3) U)
	0.7b	(fma.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (cos.f64 (/.f64 K 2))) U)
	33.0b	(.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)))
	1.4b	(.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)))
	8.6b	(fma.f64 J (.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 2 (sinh.f64 l))) (.f64 2 (sinh.f64 l)))) (cos.f64 (/.f64 K 2))) U)
	0.8b	(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)

Compiler

Compiled 5221 to 3373 computations (35.4% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 J (pow.f64 (cbrt.f64 (.f64 (sinh.f64 l) (.f64 2 (cos.f64 (*.f64 K 1/2))))) 3) U)
✓	0.1b	(.f64 (sinh.f64 l) (.f64 2 (cos.f64 (*.f64 K 1/2))))
✓	0.6b	(cbrt.f64 (.f64 (sinh.f64 l) (.f64 2 (cos.f64 (*.f64 K 1/2)))))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 (sinh.f64 l) (.f64 2 (cos.f64 (*.f64 K 1/2))))) 3)

series103.0ms (0.9%)

Counts

4 → 109

Calls

30 calls:

Time	Variable		Point	Expression
20.0ms	K	@	inf	(fma.f64 J (pow.f64 (cbrt.f64 (.f64 (sinh.f64 l) (.f64 2 (cos.f64 (*.f64 K 1/2))))) 3) U)
13.0ms	K	@	0	(pow.f64 (cbrt.f64 (.f64 (sinh.f64 l) (.f64 2 (cos.f64 (*.f64 K 1/2))))) 3)
8.0ms	K	@	-inf	(pow.f64 (cbrt.f64 (.f64 (sinh.f64 l) (.f64 2 (cos.f64 (*.f64 K 1/2))))) 3)
8.0ms	l	@	0	(pow.f64 (cbrt.f64 (.f64 (sinh.f64 l) (.f64 2 (cos.f64 (*.f64 K 1/2))))) 3)
8.0ms	K	@	inf	(pow.f64 (cbrt.f64 (.f64 (sinh.f64 l) (.f64 2 (cos.f64 (*.f64 K 1/2))))) 3)

rewrite108.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

264×	`expm1-udef_binary64`
264×	`log1p-udef_binary64`
215×	`prod-diff_binary64`
153×	`add-sqr-sqrt_binary64`
146×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	62
1	333	62
2	3592	62

Stop Event

1×	node limit

Counts

4 → 111

Calls

Call 1

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

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

simplify129.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

418×	`distribute-rgt-in_binary64`
416×	`distribute-lft-in_binary64`
328×	`times-frac_binary64`
171×	`fma-def_binary64`
144×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	4043
1	558	3885
2	2132	3639

Stop Event

1×	node limit

Counts

220 → 145

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))
(-.f64 (+.f64 (exp.f64 l) (.f64 (+.f64 (.f64 -1/12 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (*.f64 -1/24 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (pow.f64 K 2))) (/.f64 1 (exp.f64 l)))
(-.f64 (+.f64 (exp.f64 l) (+.f64 (.f64 (+.f64 (.f64 -1/12 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 -1/24 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (pow.f64 K 2)) (.f64 (pow.f64 K 4) (+.f64 (.f64 2/3 (-.f64 (.f64 1/768 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 1/384 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (+.f64 (.f64 1/288 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 2/3 (.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (-.f64 (.f64 1/768 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 1/384 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (cbrt.f64 1/2)) (pow.f64 (/.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3))) (.f64 1/2304 (.f64 (/.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 1/2) 4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))))) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3))))))) (/.f64 1 (exp.f64 l)))
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(+.f64 (.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) J) (+.f64 (.f64 (pow.f64 K 4) (.f64 (+.f64 (.f64 2/3 (-.f64 (.f64 1/768 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 1/384 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (+.f64 (.f64 1/288 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 2/3 (.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (-.f64 (.f64 1/768 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 1/384 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (cbrt.f64 1/2)) (pow.f64 (/.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3))) (.f64 1/2304 (.f64 (/.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 1/2) 4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))))) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3)))) J)) (+.f64 (.f64 (pow.f64 K 6) (.f64 (+.f64 (.f64 -1/48 (.f64 (/.f64 (.f64 (cbrt.f64 2) (+.f64 (.f64 2/3 (.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (-.f64 (.f64 1/768 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 1/384 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (cbrt.f64 1/2)) (pow.f64 (/.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3))) (.f64 1/2304 (.f64 (/.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 1/2) 4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))))) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3))) (+.f64 (.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 (.f64 (-.f64 (.f64 -1/92160 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (+.f64 (.f64 -1/12 (-.f64 (.f64 1/768 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 1/384 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (.f64 -1/110592 (/.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (pow.f64 (cbrt.f64 1/2) 6))))) (pow.f64 (cbrt.f64 2) 2)) (cbrt.f64 1/2)) (pow.f64 (/.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3))) (.f64 -1/72 (.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (-.f64 (.f64 1/768 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 1/384 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (pow.f64 (cbrt.f64 1/2) 4)) (pow.f64 (/.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2))) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3)) (+.f64 (.f64 2/3 (-.f64 (.f64 -1/92160 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (+.f64 (.f64 -1/12 (-.f64 (.f64 1/768 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 1/384 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (.f64 -1/110592 (/.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) (pow.f64 (cbrt.f64 1/2) 6)))))) (.f64 -1/18 (-.f64 (.f64 1/768 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 1/384 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))))) J)) (+.f64 (.f64 (+.f64 (.f64 -1/12 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 -1/24 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 (pow.f64 K 2) 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 (.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 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (+.f64 (exp.f64 l) (.f64 (+.f64 (.f64 -1/12 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (*.f64 -1/24 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (pow.f64 K 2))) (/.f64 1 (exp.f64 l)))
(+.f64 (exp.f64 l) (-.f64 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) -1/8) (*.f64 K K)) (exp.f64 (neg.f64 l))))
(-.f64 (fma.f64 (.f64 (.f64 K K) -1/8) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(.f64 (+.f64 (.f64 (*.f64 K K) -1/8) 1) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (+.f64 (exp.f64 l) (+.f64 (.f64 (+.f64 (.f64 -1/12 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 -1/24 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (pow.f64 K 2)) (.f64 (pow.f64 K 4) (+.f64 (.f64 2/3 (-.f64 (.f64 1/768 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 1/384 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (+.f64 (.f64 1/288 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 2/3 (.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (-.f64 (.f64 1/768 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) (.f64 1/384 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (cbrt.f64 1/2)) (pow.f64 (/.f64 1 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))) 1/3))) (.f64 1/2304 (.f64 (/.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 1/2) 4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))))) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3))))))) (/.f64 1 (exp.f64 l)))
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U
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U
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prune455.0ms (3.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	3	2	5
Picked	0	1	1
Done	0	2	2
Total	146	7	153

Error

Counts

153 → 7

Alt Table

Status	Error	Program
	0.7b	(fma.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (cos.f64 (/.f64 K 2))) U)
▶	0.4b	(fma.f64 J (.f64 (.f64 (.f64 2 (cos.f64 (.f64 K 1/2))) (pow.f64 (cbrt.f64 (sinh.f64 l)) 2)) (cbrt.f64 (sinh.f64 l))) U)
✓	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)
✓	15.9b	(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
✓	0.4b	(fma.f64 J (pow.f64 (cbrt.f64 (.f64 (sinh.f64 l) (.f64 2 (cos.f64 (*.f64 K 1/2))))) 3) U)
	33.0b	(pow.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 (sinh.f64 l) 2)) J U)) 2)
	0.8b	(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)

Compiler

Compiled 5331 to 3523 computations (33.9% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 2 (cos.f64 (*.f64 K 1/2))) (pow.f64 (cbrt.f64 (sinh.f64 l)) 2))
✓	0.3b	(.f64 (.f64 (.f64 2 (cos.f64 (.f64 K 1/2))) (pow.f64 (cbrt.f64 (sinh.f64 l)) 2)) (cbrt.f64 (sinh.f64 l)))
✓	0.5b	(pow.f64 (cbrt.f64 (sinh.f64 l)) 2)
✓	0.6b	(cbrt.f64 (sinh.f64 l))

series19.0ms (0.2%)

Counts

4 → 60

Calls

18 calls:

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

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`log-prod_binary64`
224×	`expm1-udef_binary64`
224×	`log1p-udef_binary64`
189×	`log-pow_binary64`
131×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	267	46
2	3059	46

Stop Event

1×	node limit

Counts

4 → 85

Calls

Call 1

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

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

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

488×	`fma-def_binary64`
416×	`associate-l_binary64`
376×	`associate-r_binary64`
366×	`distribute-lft-out_binary64`
251×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1668
1	239	1588
2	744	1491
3	3274	1451

Stop Event

1×	node limit

Counts

145 → 117

Calls

Call 1

Inputs
(*.f64 (cbrt.f64 1/2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))
(-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))
(-.f64 (+.f64 (exp.f64 l) (.f64 -1/8 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (/.f64 1 (exp.f64 l)))
(-.f64 (+.f64 (exp.f64 l) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/384 (.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))) (/.f64 1 (exp.f64 l)))
(-.f64 (+.f64 (exp.f64 l) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/384 (.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))) (/.f64 1 (exp.f64 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(+.f64 (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3))) (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l)))
(+.f64 (.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 5))) (+.f64 (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3))) (.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))))
(+.f64 (.f64 1/60 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 5))) (+.f64 (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3))) (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l)) (.f64 1/2520 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 7))))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 2 (.f64 (cbrt.f64 1/4) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))
(+.f64 (.f64 -1/4 (.f64 (.f64 (cbrt.f64 1/4) (pow.f64 K 2)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))) (.f64 2 (*.f64 (cbrt.f64 1/4) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))))
(+.f64 (.f64 1/192 (.f64 (.f64 (cbrt.f64 1/4) (pow.f64 K 4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))) (+.f64 (.f64 -1/4 (.f64 (.f64 (cbrt.f64 1/4) (pow.f64 K 2)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))) (.f64 2 (.f64 (cbrt.f64 1/4) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))))
(+.f64 (.f64 -1/23040 (.f64 (.f64 (cbrt.f64 1/4) (pow.f64 K 6)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))) (+.f64 (.f64 1/192 (.f64 (.f64 (cbrt.f64 1/4) (pow.f64 K 4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))) (+.f64 (.f64 -1/4 (.f64 (.f64 (cbrt.f64 1/4) (pow.f64 K 2)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))) (.f64 2 (*.f64 (cbrt.f64 1/4) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))))))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (cbrt.f64 1/4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (cbrt.f64 1/4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (cbrt.f64 1/4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (cbrt.f64 1/4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (cbrt.f64 1/4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (cbrt.f64 1/4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (cbrt.f64 1/4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (cbrt.f64 1/4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (cbrt.f64 1/4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (cbrt.f64 1/4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (cbrt.f64 1/4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (cbrt.f64 1/4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (cbrt.f64 1/4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (cbrt.f64 1/4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (cbrt.f64 1/4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))
(.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (cbrt.f64 1/4)) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3)))

Outputs
(*.f64 (cbrt.f64 1/2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 (cbrt.f64 1/2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 (cbrt.f64 1/2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 (cbrt.f64 1/2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 (cbrt.f64 1/2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 (cbrt.f64 1/2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 (cbrt.f64 1/2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 (cbrt.f64 1/2) (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 1/3))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (pow.f64 (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 1/2) 2) (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 2)))
(-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (+.f64 (exp.f64 l) (.f64 -1/8 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))) (/.f64 1 (exp.f64 l)))
(+.f64 (exp.f64 l) (-.f64 (.f64 (.f64 -1/8 (*.f64 K K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (exp.f64 (neg.f64 l))))
(-.f64 (fma.f64 (.f64 -1/8 (.f64 K K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(.f64 (+.f64 (.f64 -1/8 (*.f64 K K)) 1) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (+.f64 (exp.f64 l) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/384 (.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))))) (/.f64 1 (exp.f64 l)))
(+.f64 (exp.f64 l) (-.f64 (fma.f64 -1/8 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 K K)) (.f64 1/384 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (pow.f64 K 4)))) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 (.f64 -1/8 (.f64 K K)) (.f64 1/384 (pow.f64 K 4)))) (-.f64 (exp.f64 l) (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 (fma.f64 -1/8 (.f64 K K) (*.f64 1/384 (pow.f64 K 4))) 1) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (+.f64 (exp.f64 l) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))) (.f64 1/384 (.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l)))))))) (/.f64 1 (exp.f64 l)))
(+.f64 (exp.f64 l) (-.f64 (fma.f64 -1/8 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 K K)) (fma.f64 -1/46080 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (pow.f64 K 6)) (.f64 1/384 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (pow.f64 K 4))))) (exp.f64 (neg.f64 l))))
(+.f64 (exp.f64 l) (-.f64 (fma.f64 -1/8 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 K K)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 (.f64 1/384 (pow.f64 K 4)) (*.f64 -1/46080 (pow.f64 K 6))))) (exp.f64 (neg.f64 l))))
(+.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 (.f64 -1/8 (.f64 K K)) (fma.f64 1/384 (pow.f64 K 4) (.f64 -1/46080 (pow.f64 K 6))))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (+.f64 (+.f64 (.f64 -1/8 (.f64 K K)) 1) (fma.f64 1/384 (pow.f64 K 4) (.f64 -1/46080 (pow.f64 K 6)))))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (/.f64 1 (exp.f64 l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 1/2 K)))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) l))
(.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K))))
(.f64 l (.f64 2 (cos.f64 (*.f64 1/2 K))))
(+.f64 (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3))) (.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) l)))
(fma.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3)) (.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K)))))
(fma.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3)) (.f64 l (.f64 2 (cos.f64 (*.f64 1/2 K)))))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l 2) (.f64 1/3 (pow.f64 l 3))))
(.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (+.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 l (cos.f64 (*.f64 1/2 K))))))
(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 l (.f64 2 (cos.f64 (*.f64 1/2 K))))))
(fma.f64 1/3 (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3)) (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 l 2) (.f64 1/60 (pow.f64 l 5)))))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (*.f64 l 2))))
(+.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 l (cos.f64 (.f64 1/2 K))) (.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 l (cos.f64 (.f64 1/2 K))) (.f64 (cos.f64 (.f64 1/2 K)) (*.f64 (pow.f64 l 7) 1/2520)))))
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prune243.0ms (2.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	146	7	153

Error

Counts

153 → 7

Alt Table

Status	Error	Program
	0.7b	(fma.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (cos.f64 (/.f64 K 2))) U)
✓	0.4b	(fma.f64 J (.f64 (.f64 (.f64 2 (cos.f64 (.f64 K 1/2))) (pow.f64 (cbrt.f64 (sinh.f64 l)) 2)) (cbrt.f64 (sinh.f64 l))) U)
✓	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)
✓	15.9b	(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
✓	0.4b	(fma.f64 J (pow.f64 (cbrt.f64 (.f64 (sinh.f64 l) (.f64 2 (cos.f64 (*.f64 K 1/2))))) 3) U)
	33.0b	(pow.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 (sinh.f64 l) 2)) J U)) 2)
	0.8b	(fma.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (*.f64 2 J)) U)

Compiler

Compiled 3668 to 2178 computations (40.6% saved)

regimes235.0ms (2%)

Accuracy

Total -41.0b remaining (-67658.9%)

Threshold costs -41.0b (-67658.9%)

Counts

37 → 1

Compiler

Compiled 729 to 461 computations (36.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`+-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	20	18

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(fma.f64 J (+.f64 0 (.f64 (sinh.f64 l) (.f64 2 (cos.f64 (*.f64 K 1/2))))) U)
(fma.f64 J (.f64 (sinh.f64 l) (.f64 2 (cos.f64 (*.f64 K 1/2)))) U)

end150.0ms (1.3%)

Stop Event

1×

fuel

Compiler

Compiled 147 to 98 computations (33.3% saved)

Details

analyze1.6s (13.9%)

sample7.0s (60.7%)

preprocess50.0ms (0.4%)

simplify30.0ms (0.3%)

prune5.0ms (0%)

localize17.0ms (0.1%)

series22.0ms (0.2%)

rewrite142.0ms (1.2%)

simplify58.0ms (0.5%)

prune110.0ms (0.9%)

localize26.0ms (0.2%)

series51.0ms (0.4%)

rewrite91.0ms (0.8%)

simplify83.0ms (0.7%)

prune618.0ms (5.3%)

localize22.0ms (0.2%)

series103.0ms (0.9%)

rewrite108.0ms (0.9%)

simplify129.0ms (1.1%)

prune455.0ms (3.9%)

localize20.0ms (0.2%)

series19.0ms (0.2%)

rewrite76.0ms (0.7%)

simplify82.0ms (0.7%)

prune243.0ms (2.1%)

regimes235.0ms (2%)

simplify2.0ms (0%)

end150.0ms (1.3%)

Profiling