Details

analyze833.0ms (3.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
15.6%	84.3%	0.1%	8
15.6%	84.3%	0.1%	9
15.6%	84.3%	0.1%	10
30.4%	69.4%	0.1%	11
30.4%	69.4%	0.1%	12

Compiler

Compiled 28 to 23 computations (17.9% saved)

sample4.3s (19.4%)

Results

2.0s	2095×	body	1024	valid
1.6s	5149×	body	256	valid
608.0ms	1011×	body	512	valid
1.0ms	1×	body	2048	valid
0.0ms	2×	body	256	invalid

preprocess83.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1142×	`associate-*r/_binary64`
697×	`associate-/r/_binary64`
522×	`associate-/l/_binary64`
492×	`unswap-sqr_binary64`
376×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	148
1	112	128
2	303	128
3	946	128
4	3793	128
5	4745	128
6	5081	128
7	5961	128
8	6300	128
9	6637	128
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

Outputs
(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
(.f64 (.f64 -2 J) (.f64 (cos.f64 (/.f64 K 2)) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 2 (*.f64 J (cos.f64 (/.f64 K 2))))) 2)))))
(.f64 -2 (.f64 (*.f64 J (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 (/.f64 (/.f64 U 2) J) (cos.f64 (/.f64 K 2))))))
(.f64 J (.f64 (.f64 -2 (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 J (*.f64 2 (cos.f64 (/.f64 K 2))))))))
(.f64 (.f64 -2 (.f64 J (cos.f64 (/.f64 K 2)))) (hypot.f64 1 (/.f64 U (.f64 2 (*.f64 J (cos.f64 (/.f64 K 2)))))))
(.f64 (.f64 (.f64 -2 K) (cos.f64 (/.f64 J 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 K) (cos.f64 (/.f64 J 2)))) 2))))
(.f64 (.f64 -2 K) (.f64 (cos.f64 (/.f64 J 2)) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 J 2)) (*.f64 K 2))) 2)))))
(.f64 (.f64 -2 (.f64 K (cos.f64 (/.f64 J 2)))) (hypot.f64 1 (/.f64 (/.f64 U 2) (.f64 K (cos.f64 (/.f64 J 2))))))
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 (/.f64 U 2) (.f64 K (cos.f64 (/.f64 J 2))))) (.f64 K (cos.f64 (/.f64 J 2)))))
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 (/.f64 (/.f64 U K) 2) (cos.f64 (/.f64 J 2)))) (*.f64 K (cos.f64 (/.f64 J 2)))))
(.f64 (.f64 (.f64 -2 U) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 J (.f64 (*.f64 2 U) (cos.f64 (/.f64 K 2)))) 2))))
(.f64 (.f64 -2 U) (.f64 (cos.f64 (/.f64 K 2)) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 J (.f64 (cos.f64 (/.f64 K 2)) (*.f64 2 U))) 2)))))
(.f64 -2 (.f64 (.f64 (cos.f64 (/.f64 K 2)) U) (hypot.f64 1 (/.f64 (/.f64 J (.f64 2 U)) (cos.f64 (/.f64 K 2))))))
(.f64 U (.f64 (.f64 -2 (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 J (.f64 (cos.f64 (/.f64 K 2)) (*.f64 2 U))))))
(.f64 (.f64 -2 U) (.f64 (cos.f64 (/.f64 K 2)) (hypot.f64 1 (/.f64 J (.f64 (cos.f64 (/.f64 K 2)) (*.f64 2 U))))))
(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 U 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 K (.f64 (*.f64 2 J) (cos.f64 (/.f64 U 2)))) 2))))
(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 U 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 K (.f64 J 2)) (cos.f64 (/.f64 U 2))) 2))))
(.f64 -2 (.f64 J (.f64 (cos.f64 (/.f64 U 2)) (hypot.f64 1 (/.f64 K (.f64 (*.f64 J 2) (cos.f64 (/.f64 U 2))))))))
(.f64 (.f64 -2 J) (.f64 (cos.f64 (/.f64 U 2)) (hypot.f64 1 (/.f64 K (.f64 J (*.f64 2 (cos.f64 (/.f64 U 2))))))))
(.f64 -2 (.f64 J (.f64 (cos.f64 (/.f64 U 2)) (hypot.f64 1 (/.f64 K (.f64 2 (*.f64 J (cos.f64 (/.f64 U 2)))))))))

Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1050×	`associate-*l/_binary64`
667×	`associate-/l/_binary64`
650×	`associate-/r/_binary64`
514×	`associate-*r/_binary64`
443×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	37	32
2	89	32
3	253	32
4	968	32
5	3686	32
6	3897	32
7	4521	32
8	4720	32
9	4865	32
10	5038	32
11	7497	32
12	7854	32

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs
(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
(.f64 (.f64 -2 J) (.f64 (cos.f64 (/.f64 K 2)) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2))) 2)))))
(.f64 (.f64 -2 J) (.f64 (cos.f64 (/.f64 K 2)) (hypot.f64 1 (/.f64 U (.f64 J (*.f64 2 (cos.f64 (/.f64 K 2))))))))
(.f64 -2 (.f64 J (.f64 (cos.f64 (/.f64 K 2)) (hypot.f64 1 (/.f64 U (.f64 J (*.f64 2 (cos.f64 (/.f64 K 2)))))))))
(.f64 (.f64 J (.f64 -2 (cos.f64 (/.f64 K 2)))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))) (*.f64 J (cos.f64 (/.f64 K 2)))))
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (*.f64 J (cos.f64 (/.f64 K 2)))))

eval1.0ms (0%)

Compiler: Compiled 48 to 38 computations (20.8% saved)

prune1.0ms (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

10.6b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	10.6b	(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (*.f64 J (cos.f64 (/.f64 K 2)))))

Compiler

Compiled 24 to 19 computations (20.8% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	9.9b	(.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 J (cos.f64 (/.f64 K 2))))
	0.1b	(*.f64 J (cos.f64 (/.f64 K 2)))
	0.1b	(/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))
	0.0b	(hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2))))))
✓	0.0b	(hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2))))))
✓	0.1b	(/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))
✓	0.1b	(*.f64 J (cos.f64 (/.f64 K 2)))
✓	9.9b	(.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 J (cos.f64 (/.f64 K 2))))

series43.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	K	@	0	(.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 J (cos.f64 (/.f64 K 2))))
4.0ms	K	@	0	(/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))
4.0ms	K	@	0	(*.f64 J (cos.f64 (/.f64 K 2)))
3.0ms	J	@	inf	(.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 J (cos.f64 (/.f64 K 2))))
3.0ms	K	@	inf	(.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 J (cos.f64 (/.f64 K 2))))

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

711×	`log-prod_binary64`
430×	`pow-prod-down_binary64`
341×	`pow2_binary64`
257×	`pow-unpow_binary64`
243×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	71
1	271	71
2	3443	71

Stop Event

1×	node limit

Counts

4 → 105

Calls

Call 1

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

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

simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

927×	`associate-/l*_binary64`
801×	`associate-/r*_binary64`
454×	`distribute-lft-in_binary64`
454×	`distribute-rgt-in_binary64`
242×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	4907
1	739	4658
2	2863	4516

Stop Event

1×	node limit

Counts

237 → 184

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(+.f64 (.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(*.f64 1/2 U)
(+.f64 (.f64 1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)))))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3))))))
(*.f64 -1/2 U)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (.f64 -1/2 U)))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (*.f64 -1/2 U))))
(*.f64 1/2 U)
(+.f64 (.f64 1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)))))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3))))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(+.f64 (.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(+.f64 (.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)
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(+.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) (+.f64 (.f64 1/32 (.f64 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 U 2)) (pow.f64 J 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 K 4) (-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (.f64 1/256 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) 2))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))))) (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 (.f64 -1/16 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 1/3072 (/.f64 U J)) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J)))) (.f64 -1/46080 (/.f64 U J)))) U) J)) (.f64 -1/4 (/.f64 (.f64 U (+.f64 (.f64 1/3072 (/.f64 U J)) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J)))) (.f64 -1/46080 (/.f64 U J))))) J)))) (.f64 1/32 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (.f64 1/256 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) 2)) (pow.f64 U 2)) (.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 J 2))))) (pow.f64 K 6)) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))))))))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))))

Outputs
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (.f64 1/8 (/.f64 (.f64 U U) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (.f64 (/.f64 1/8 (cos.f64 (*.f64 1/2 K))) (/.f64 U (/.f64 J U))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (/.f64 (/.f64 1/8 (/.f64 J (.f64 U U))) (cos.f64 (*.f64 1/2 K))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))) (.f64 1/8 (/.f64 (.f64 U U) (.f64 (cos.f64 (*.f64 1/2 K)) J)))))
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(fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 1/8 (.f64 (/.f64 U J) (/.f64 U (cos.f64 (.f64 1/2 K)))) (/.f64 -1/128 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (/.f64 (pow.f64 U 4) (pow.f64 J 3))))))
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(fma.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5))) (fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))) (.f64 1/8 (/.f64 (.f64 U U) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(fma.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5))) (fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 1/8 (.f64 (/.f64 U J) (/.f64 U (cos.f64 (.f64 1/2 K)))) (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))))))
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(*.f64 1/2 U)
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(-.f64 (fma.f64 1/2 U (/.f64 (.f64 J J) (/.f64 U (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4)))
(-.f64 (fma.f64 1/2 U (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (.f64 1/2 K)) 2))) (.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4)))
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(*.f64 -1/2 U)
(*.f64 U -1/2)
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(-.f64 (.f64 U -1/2) (/.f64 (.f64 J J) (/.f64 U (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))))
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(+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4))) (fma.f64 -1 (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)) U) (*.f64 U -1/2)))
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(+.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4)) (-.f64 (fma.f64 U -1/2 (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 U 5)) (pow.f64 J 6)) -2)) (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (.f64 1/2 K)) 2))))
(*.f64 1/2 U)
(+.f64 (.f64 1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
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(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)))))
(+.f64 (fma.f64 1/2 U (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)) U)) (neg.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4)))))
(-.f64 (fma.f64 1/2 U (/.f64 (.f64 J J) (/.f64 U (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4)))
(-.f64 (fma.f64 1/2 U (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (.f64 1/2 K)) 2))) (.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4)))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3))))))
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(.f64 (cos.f64 (.f64 1/2 K)) J)
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(fma.f64 (cos.f64 (.f64 1/2 K)) J (/.f64 (/.f64 1/8 (/.f64 J (.f64 U U))) (cos.f64 (*.f64 1/2 K))))
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(+.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 J J))))) (fma.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 J J)))))) (/.f64 (.f64 K K) (/.f64 (.f64 J J) (.f64 U U)))) (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 J J)))))) (.f64 (pow.f64 K 4) (-.f64 (fma.f64 -1/2 (/.f64 (.f64 (/.f64 U J) -5/384) (/.f64 J U)) (.f64 (/.f64 (.f64 U U) (.f64 J J)) 1/256)) (pow.f64 (.f64 1/32 (.f64 (/.f64 (.f64 U U) (.f64 J J)) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 J J)))))))) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 J J)))))) (.f64 (+.f64 (fma.f64 -1/16 (/.f64 (.f64 (/.f64 U J) -5/384) (/.f64 J U)) (.f64 -1/4 (+.f64 (/.f64 U (/.f64 J (fma.f64 1/3072 (/.f64 U J) (fma.f64 1/8 (.f64 (/.f64 U J) -5/384) (.f64 (/.f64 U J) -1/46080))))) (/.f64 U (/.f64 J (fma.f64 1/3072 (/.f64 U J) (fma.f64 1/8 (.f64 (/.f64 U J) -5/384) (.f64 (/.f64 U J) -1/46080)))))))) (.f64 -1/32 (/.f64 (-.f64 (fma.f64 -1/2 (/.f64 (.f64 (/.f64 U J) -5/384) (/.f64 J U)) (.f64 (/.f64 (.f64 U U) (.f64 J J)) 1/256)) (pow.f64 (.f64 1/32 (.f64 (/.f64 (.f64 U U) (.f64 J J)) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 J J)))))))) 2)) (/.f64 (.f64 (.f64 J J) (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 J J))))) (.f64 U U))))) (pow.f64 K 6)))))))
(+.f64 (sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U J) (/.f64 U J)) 1)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 (/.f64 U J) (/.f64 U J)) 1))) (+.f64 (.f64 (pow.f64 K 4) (-.f64 (fma.f64 -1/2 (.f64 (/.f64 (/.f64 (.f64 U -5/384) J) J) U) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) 1/256)) (pow.f64 (.f64 1/32 (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 (/.f64 U J) (/.f64 U J)) 1))))) 2))) (.f64 (+.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 U -5/384) J) J) U) -1/16 (.f64 (.f64 (/.f64 U J) (fma.f64 (/.f64 U J) 1/3072 (fma.f64 (/.f64 U J) -1/46080 (.f64 (/.f64 U J) -5/3072)))) -1/2)) (.f64 (/.f64 (-.f64 (fma.f64 -1/2 (.f64 (/.f64 (/.f64 (.f64 U -5/384) J) J) U) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) 1/256)) (pow.f64 (.f64 1/32 (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 (/.f64 U J) (/.f64 U J)) 1))))) 2)) (/.f64 (fma.f64 1/4 (.f64 (/.f64 U J) (/.f64 U J)) 1) (.f64 (/.f64 U J) (/.f64 U J)))) -1/32)) (pow.f64 K 6)))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 (/.f64 U J) (/.f64 U J)) 1))) (/.f64 (.f64 1/32 (.f64 K K)) (.f64 (/.f64 J U) (/.f64 J U))))))
(+.f64 (sqrt.f64 (fma.f64 1/4 (/.f64 U (/.f64 (.f64 J J) U)) 1)) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (/.f64 U (/.f64 (.f64 J J) U)) 1))) (+.f64 (/.f64 1/32 (/.f64 (.f64 J J) (.f64 (.f64 U K) (.f64 U K)))) (.f64 1/2 (+.f64 (.f64 (pow.f64 K 4) (-.f64 (fma.f64 -1/2 (.f64 (/.f64 U J) (/.f64 (.f64 U -5/384) J)) (.f64 (/.f64 U (/.f64 (.f64 J J) U)) 1/256)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (/.f64 U (/.f64 (.f64 J J) U)) 1))) (.f64 (/.f64 U (/.f64 (.f64 J J) U)) 1/32)) 2))) (.f64 (fma.f64 (.f64 (/.f64 U J) (/.f64 (.f64 U -5/384) J)) -1/16 (fma.f64 (.f64 (/.f64 U J) (fma.f64 (/.f64 U J) 1/3072 (.f64 (/.f64 U J) -19/11520))) -1/2 (.f64 (.f64 (/.f64 U (/.f64 (.f64 J J) U)) (/.f64 (-.f64 (fma.f64 -1/2 (.f64 (/.f64 U J) (/.f64 (.f64 U -5/384) J)) (.f64 (/.f64 U (/.f64 (.f64 J J) U)) 1/256)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (/.f64 U (/.f64 (.f64 J J) U)) 1))) (.f64 (/.f64 U (/.f64 (.f64 J J) U)) 1/32)) 2)) (fma.f64 1/4 (/.f64 U (/.f64 (.f64 J J) U)) 1))) -1/32))) (pow.f64 K 6)))))))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) (/.f64 U (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))) 1))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) (/.f64 U (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))) 1))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) (/.f64 U (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))) 1))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) (/.f64 U (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))) 1))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) (/.f64 U (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))) 1))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) (/.f64 U (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))) 1))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) (/.f64 U (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))) 1))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))))
(sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) (/.f64 U (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))) 1))

eval163.0ms (0.7%)

Compiler: Compiled 7687 to 5590 computations (27.3% saved)

prune62.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	199	9	208
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	199	10	209

Error

0.0b

Counts

209 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	45.4b	(.f64 -2 (cbrt.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J)))))) 3)))
	47.2b	(.f64 -2 (.f64 1/2 U))
	19.1b	(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 J))) (.f64 J (cos.f64 (/.f64 K 2)))))
▶	45.0b	(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))))
▶	11.1b	(.f64 -2 (.f64 (hypot.f64 1 (pow.f64 (cbrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 J)))) 3)) (.f64 J (cos.f64 (/.f64 K 2)))))
▶	33.8b	(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
▶	43.5b	(.f64 -2 (.f64 -1/2 U))
▶	11.7b	(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (pow.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2)))) 3)))
✓	10.6b	(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (*.f64 J (cos.f64 (/.f64 K 2)))))
	36.0b	(.f64 -2 (pow.f64 (sqrt.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J))))))) 2))

Compiler

Compiled 374 to 303 computations (19% saved)

localize19.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J))
	0.1b	(*.f64 J (cos.f64 (/.f64 K 2)))
	0.1b	(/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J)))
	0.0b	(hypot.f64 1 (pow.f64 (cbrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J)))) 3))
✓	0.1b	(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J))
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J)))) 3)
✓	9.9b	(.f64 (hypot.f64 1 (pow.f64 (cbrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 J)))) 3)) (*.f64 J (cos.f64 (/.f64 K 2))))
✓	15.6b	(cbrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J))))

series104.0ms (0.5%)

Counts

4 → 69

Calls

33 calls:

Time	Variable		Point	Expression
45.0ms	U	@	-inf	(.f64 (hypot.f64 1 (pow.f64 (cbrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 J)))) 3)) (*.f64 J (cos.f64 (/.f64 K 2))))
12.0ms	U	@	-inf	(pow.f64 (cbrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J)))) 3)
11.0ms	K	@	0	(.f64 (hypot.f64 1 (pow.f64 (cbrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 J)))) 3)) (*.f64 J (cos.f64 (/.f64 K 2))))
3.0ms	K	@	inf	(cbrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J))))
3.0ms	K	@	-inf	(cbrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J))))

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

879×	`log-prod_binary64`
296×	`expm1-udef_binary64`
296×	`log1p-udef_binary64`
249×	`log-pow_binary64`
193×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	73
1	425	73
2	4447	73

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

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

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

simplify113.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

876×	`times-frac_binary64`
507×	`associate-*l/_binary64`
458×	`associate-*r/_binary64`
411×	`associate-/l*_binary64`
349×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	245	3448
1	853	3097
2	3725	2847

Stop Event

1×	node limit

Counts

210 → 184

Calls

Call 1

Inputs
(.f64 (pow.f64 (/.f64 (.f64 1 U) J) 1/3) (cbrt.f64 1/2))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 U) J) 1/3) (cbrt.f64 1/2)) (.f64 1/24 (.f64 (pow.f64 (/.f64 (.f64 1 U) J) 1/3) (.f64 (pow.f64 K 2) (cbrt.f64 1/2)))))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 U) J) 1/3) (cbrt.f64 1/2)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 J 2)) (pow.f64 U 2)) 1/3) (.f64 (pow.f64 K 4) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -1/64 (/.f64 U J)) (+.f64 (.f64 1/384 (/.f64 U J)) (.f64 1/192 (/.f64 U J)))))))) (.f64 1/24 (.f64 (pow.f64 (/.f64 (.f64 1 U) J) 1/3) (.f64 (pow.f64 K 2) (cbrt.f64 1/2))))))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 U) J) 1/3) (cbrt.f64 1/2)) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 1/3072 (/.f64 U J)) (+.f64 (.f64 1/13824 (/.f64 U J)) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J)))) (+.f64 (.f64 -1/46080 (/.f64 U J)) (.f64 -1/12 (+.f64 (.f64 -1/64 (/.f64 U J)) (+.f64 (.f64 1/384 (/.f64 U J)) (.f64 1/192 (/.f64 U J))))))))) (.f64 (pow.f64 K 6) (cbrt.f64 1/2))) (pow.f64 (/.f64 (.f64 1 (pow.f64 J 2)) (pow.f64 U 2)) 1/3))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 J 2)) (pow.f64 U 2)) 1/3) (.f64 (pow.f64 K 4) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -1/64 (/.f64 U J)) (+.f64 (.f64 1/384 (/.f64 U J)) (.f64 1/192 (/.f64 U J)))))))) (.f64 1/24 (.f64 (pow.f64 (/.f64 (.f64 1 U) J) 1/3) (*.f64 (pow.f64 K 2) (cbrt.f64 1/2)))))))
(.f64 (pow.f64 (/.f64 (.f64 1 U) (.f64 (cos.f64 (.f64 1/2 K)) J)) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 U) (.f64 (cos.f64 (.f64 1/2 K)) J)) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 U) (.f64 (cos.f64 (.f64 1/2 K)) J)) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 U) (.f64 (cos.f64 (.f64 1/2 K)) J)) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 U) (.f64 (cos.f64 (.f64 1/2 K)) J)) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 U) (.f64 (cos.f64 (.f64 1/2 K)) J)) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 U) (.f64 (cos.f64 (.f64 1/2 K)) J)) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 U) (.f64 (cos.f64 (.f64 1/2 K)) J)) 1/3) (cbrt.f64 1/2))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) J)
(+.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) J) (.f64 (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) J)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 U 2) (pow.f64 J 2))))))) (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 1 1/3) (/.f64 U J))) (.f64 1/24 (.f64 (pow.f64 1 1/3) (/.f64 U J)))) U))))) (pow.f64 K 2)))
(+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 1 1/3) (/.f64 U J))) (.f64 1/24 (.f64 (pow.f64 1 1/3) (/.f64 U J)))) 2) (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (+.f64 (.f64 1/576 (.f64 (pow.f64 1 1/3) (/.f64 U J))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/64 (/.f64 U J)) (+.f64 (.f64 1/384 (/.f64 U J)) (.f64 1/192 (/.f64 U J)))))) (.f64 (pow.f64 (/.f64 (.f64 1 U) J) 1/3) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 1 J) U) 1/3) (.f64 (pow.f64 (cbrt.f64 1/2) 2) (+.f64 (.f64 -1/64 (/.f64 U J)) (+.f64 (.f64 1/384 (/.f64 U J)) (.f64 1/192 (/.f64 U J))))))) (.f64 1/576 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 U 2)) (pow.f64 J 2)) 1/3) (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2))))) U) J))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 U 2) (pow.f64 J 2))))))) (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 1 1/3) (/.f64 U J))) (.f64 1/24 (.f64 (pow.f64 1 1/3) (/.f64 U J)))) U) J)))) 2)) J) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 U 2) (pow.f64 J 2))))))))) (+.f64 (.f64 1/384 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) J)) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 U 2) (pow.f64 J 2))))))) (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 1 1/3) (/.f64 U J))) (.f64 1/24 (.f64 (pow.f64 1 1/3) (/.f64 U J)))) U))))))) (+.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) J) (.f64 (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) J)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 U 2) (pow.f64 J 2))))))) (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 1 1/3) (/.f64 U J))) (.f64 1/24 (.f64 (pow.f64 1 1/3) (/.f64 U J)))) U))))) (pow.f64 K 2))))
(+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 1 1/3) (/.f64 U J))) (.f64 1/24 (.f64 (pow.f64 1 1/3) (/.f64 U J)))) 2) (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (+.f64 (.f64 1/576 (.f64 (pow.f64 1 1/3) (/.f64 U J))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/64 (/.f64 U J)) (+.f64 (.f64 1/384 (/.f64 U J)) (.f64 1/192 (/.f64 U J)))))) (.f64 (pow.f64 (/.f64 (.f64 1 U) J) 1/3) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 1 J) U) 1/3) (.f64 (pow.f64 (cbrt.f64 1/2) 2) (+.f64 (.f64 -1/64 (/.f64 U J)) (+.f64 (.f64 1/384 (/.f64 U J)) (.f64 1/192 (/.f64 U J))))))) (.f64 1/576 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 U 2)) (pow.f64 J 2)) 1/3) (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2))))) U) J))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 U 2) (pow.f64 J 2))))))) (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 1 1/3) (/.f64 U J))) (.f64 1/24 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(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (.f64 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))) (pow.f64 1 1/3))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (.f64 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))) (pow.f64 1 1/3))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (.f64 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))) (pow.f64 1 1/3))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (.f64 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))) (pow.f64 1 1/3))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))) 1)))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))) 1)))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))) 1)))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2))))) 1)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 U J)))
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 1/48 (.f64 (pow.f64 1 1/3) (/.f64 U J))) (.f64 1/24 (.f64 (pow.f64 1 1/3) (/.f64 U J))))) (.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 U J))))
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 1/48 (.f64 (pow.f64 1 1/3) (/.f64 U J))) (.f64 1/24 (.f64 (pow.f64 1 1/3) (/.f64 U J))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 U J))) (.f64 (pow.f64 K 4) (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/64 (/.f64 U J)) (+.f64 (.f64 1/384 (/.f64 U J)) (.f64 1/192 (/.f64 U J)))))) (+.f64 (.f64 1/576 (.f64 (pow.f64 1 1/3) (/.f64 U J))) (.f64 (pow.f64 (/.f64 (.f64 1 U) J) 1/3) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 1 J) U) 1/3) (.f64 (pow.f64 (cbrt.f64 1/2) 2) (+.f64 (.f64 -1/64 (/.f64 U J)) (+.f64 (.f64 1/384 (/.f64 U J)) (.f64 1/192 (/.f64 U J))))))) (.f64 1/576 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 U 2)) (pow.f64 J 2)) 1/3) (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2))))))))
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 1/48 (.f64 (pow.f64 1 1/3) (/.f64 U J))) (.f64 1/24 (.f64 (pow.f64 1 1/3) (/.f64 U J))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 U J))) (+.f64 (.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 (/.f64 (.f64 1 U) J) 1/3) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 1 J) U) 1/3) (.f64 (pow.f64 (cbrt.f64 1/2) 2) (+.f64 (.f64 -1/64 (/.f64 U J)) (+.f64 (.f64 1/384 (/.f64 U J)) (.f64 1/192 (/.f64 U J))))))) (.f64 1/576 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 U 2)) (pow.f64 J 2)) 1/3) (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2)))) (+.f64 (.f64 -1/72 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/64 (/.f64 U J)) (+.f64 (.f64 1/384 (/.f64 U J)) (.f64 1/192 (/.f64 U J)))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (.f64 (+.f64 (.f64 1/3072 (/.f64 U J)) (+.f64 (.f64 1/13824 (/.f64 U J)) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J)))) (+.f64 (.f64 -1/46080 (/.f64 U J)) (.f64 -1/12 (+.f64 (.f64 -1/64 (/.f64 U J)) (+.f64 (.f64 1/384 (/.f64 U J)) (.f64 1/192 (/.f64 U J))))))))) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (/.f64 (.f64 1 J) U) 1/3))) (.f64 -1/36 (.f64 (pow.f64 (/.f64 (.f64 1 J) U) 1/3) (.f64 (pow.f64 (cbrt.f64 1/2) 2) (+.f64 (.f64 -1/64 (/.f64 U J)) (+.f64 (.f64 1/384 (/.f64 U J)) (.f64 1/192 (/.f64 U J)))))))) (cbrt.f64 1/2)) (pow.f64 (/.f64 (.f64 1 U) J) 1/3)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/13824 (/.f64 U J)) (+.f64 (.f64 1/3072 (/.f64 U J)) (+.f64 (.f64 -1/46080 (/.f64 U J)) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J)))) (.f64 -1/12 (+.f64 (.f64 -1/64 (/.f64 U J)) (+.f64 (.f64 1/384 (/.f64 U J)) (.f64 1/192 (/.f64 U J)))))))))))))) (pow.f64 K 6)) (.f64 (pow.f64 K 4) (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/64 (/.f64 U J)) (+.f64 (.f64 1/384 (/.f64 U J)) (.f64 1/192 (/.f64 U J)))))) (+.f64 (.f64 1/576 (.f64 (pow.f64 1 1/3) (/.f64 U J))) (.f64 (pow.f64 (/.f64 (.f64 1 U) J) 1/3) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 1 J) U) 1/3) (.f64 (pow.f64 (cbrt.f64 1/2) 2) (+.f64 (.f64 -1/64 (/.f64 U J)) (+.f64 (.f64 1/384 (/.f64 U J)) (.f64 1/192 (/.f64 U J))))))) (.f64 1/576 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 U 2)) (pow.f64 J 2)) 1/3) (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2)))))))))
(.f64 1/2 (.f64 (/.f64 U (.f64 (cos.f64 (.f64 1/2 K)) J)) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 U (.f64 (cos.f64 (.f64 1/2 K)) J)) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 U (.f64 (cos.f64 (.f64 1/2 K)) J)) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 U (.f64 (cos.f64 (.f64 1/2 K)) J)) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 U (.f64 (cos.f64 (.f64 1/2 K)) J)) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 U (.f64 (cos.f64 (.f64 1/2 K)) J)) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 U (.f64 (cos.f64 (.f64 1/2 K)) J)) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 U (.f64 (cos.f64 (.f64 1/2 K)) J)) (pow.f64 1 1/3)))
(*.f64 2 J)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) J)) (*.f64 2 J))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) J)) (*.f64 2 J)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/23040 (.f64 (pow.f64 K 6) J)) (*.f64 2 J))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))

Outputs
(.f64 (pow.f64 (/.f64 (.f64 1 U) J) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (/.f64 U J)) (cbrt.f64 1/2))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 U) J) 1/3) (cbrt.f64 1/2)) (.f64 1/24 (.f64 (pow.f64 (/.f64 (.f64 1 U) J) 1/3) (.f64 (pow.f64 K 2) (cbrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (/.f64 U J)) (cbrt.f64 1/2) (.f64 1/24 (.f64 (cbrt.f64 (/.f64 U J)) (.f64 (cbrt.f64 1/2) (.f64 K K)))))
(.f64 (cbrt.f64 (/.f64 U J)) (+.f64 (cbrt.f64 1/2) (.f64 1/24 (.f64 (cbrt.f64 1/2) (.f64 K K)))))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 U) J) 1/3) (cbrt.f64 1/2)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 J 2)) (pow.f64 U 2)) 1/3) (.f64 (pow.f64 K 4) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -1/64 (/.f64 U J)) (+.f64 (.f64 1/384 (/.f64 U J)) (.f64 1/192 (/.f64 U J)))))))) (.f64 1/24 (.f64 (pow.f64 (/.f64 (.f64 1 U) J) 1/3) (.f64 (pow.f64 K 2) (cbrt.f64 1/2))))))
(fma.f64 (cbrt.f64 (/.f64 U J)) (cbrt.f64 1/2) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 (.f64 J J) (.f64 U U))) (.f64 (pow.f64 K 4) (.f64 (cbrt.f64 1/2) (fma.f64 -1/64 (/.f64 U J) (.f64 (/.f64 U J) 1/128))))) (.f64 1/24 (.f64 (cbrt.f64 (/.f64 U J)) (.f64 (cbrt.f64 1/2) (.f64 K K))))))
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(.f64 J (+.f64 (+.f64 (.f64 (pow.f64 K 4) 1/192) 2) (.f64 (.f64 K K) -1/4)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 K 2) J)) (+.f64 (.f64 1/192 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/23040 (.f64 (pow.f64 K 6) J)) (*.f64 2 J))))
(fma.f64 -1/4 (.f64 J (.f64 K K)) (fma.f64 1/192 (.f64 J (pow.f64 K 4)) (fma.f64 -1/23040 (.f64 J (pow.f64 K 6)) (*.f64 J 2))))
(fma.f64 -1/4 (.f64 J (.f64 K K)) (fma.f64 1/192 (.f64 J (pow.f64 K 4)) (.f64 J (+.f64 2 (*.f64 (pow.f64 K 6) -1/23040)))))
(.f64 J (+.f64 (+.f64 2 (.f64 (pow.f64 K 6) -1/23040)) (+.f64 (.f64 (.f64 K K) -1/4) (*.f64 (pow.f64 K 4) 1/192))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))
(.f64 2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 J (.f64 2 (cos.f64 (*.f64 1/2 K))))

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(.f64 -2 (.f64 -1/2 U))
✓	0.0b	(.f64 -2 (.f64 -1/2 U))

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	U	@	-inf	(.f64 -2 (.f64 -1/2 U))
0.0ms	U	@	inf	(.f64 -2 (.f64 -1/2 U))
0.0ms	U	@	0	(.f64 -2 (.f64 -1/2 U))

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

425×	`pow1_binary64`
420×	`add-sqr-sqrt_binary64`
408×	`*-un-lft-identity_binary64`
398×	`add-log-exp_binary64`
398×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	124	1
2	1107	1

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 -2 (.f64 -1/2 U))

Outputs

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12

Stop Event

1×

saturated

Counts

26 → 15

Calls

Call 1

Inputs
U
U
U
U
U
U
U
U
U
U
U
U

Outputs
U
U
U
U
U
U
U
U
U
U
U
U

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

series2.0ms (0%)

Counts

1 → 4

Calls

6 calls:

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

rewrite40.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`pow1_binary64`
578×	`add-log-exp_binary64`
578×	`log1p-expm1-u_binary64`
578×	`expm1-log1p-u_binary64`
566×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	138	9
2	1569	9

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

626×	`distribute-lft-out_binary64`
601×	`distribute-rgt-out_binary64`
454×	`fma-def_binary64`
436×	`*-commutative_binary64`
409×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	64
1	59	64
2	164	58
3	514	55
4	2051	55
5	4227	55
6	4483	55
7	4808	55
8	5297	55
9	5998	55
10	6811	55

Stop Event

1×	node limit

Counts

15 → 18

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	7.0b	(/.f64 (*.f64 J J) U)
	0.3b	(pow.f64 (cos.f64 (*.f64 1/2 K)) 2)
	0.1b	(.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))
	0.0b	(-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))
✓	0.0b	(-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))
✓	0.1b	(.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))
✓	0.3b	(pow.f64 (cos.f64 (*.f64 1/2 K)) 2)
✓	7.0b	(/.f64 (*.f64 J J) U)

series23.0ms (0.1%)

Counts

4 → 100

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	K	@	inf	(.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))
3.0ms	U	@	-inf	(/.f64 (*.f64 J J) U)
1.0ms	U	@	0	(.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))
1.0ms	J	@	0	(.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))
1.0ms	K	@	-inf	(.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))

rewrite117.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`log-prod_binary64`
427×	`fma-def_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`
259×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	333	52
2	4256	52

Stop Event

1×	node limit

Counts

4 → 251

Calls

Call 1

Inputs
(/.f64 (*.f64 J J) U)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 2)
(.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 J (/.f64 U J)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 J (/.f64 U J)))) (cbrt.f64 (exp.f64 (/.f64 J (/.f64 U J)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 J (/.f64 U J))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 J (/.f64 U J))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 J (/.f64 U J))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 J (/.f64 U J)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 J (/.f64 1 (/.f64 U J)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 J (.f64 J (/.f64 1 U)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 J J) (/.f64 1 U))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 J (/.f64 U J)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 J (/.f64 U J)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 J 4)) (.f64 (pow.f64 (cbrt.f64 J) 2) (/.f64 1 U)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 J (/.f64 U J))) (pow.f64 (cbrt.f64 (/.f64 J (/.f64 U J))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 J (/.f64 U J))) 2) (cbrt.f64 (/.f64 J (/.f64 U J))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 J (sqrt.f64 U)) (/.f64 J (sqrt.f64 U)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 J (neg.f64 J)) (/.f64 1 (neg.f64 U)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 U) (.f64 J J))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 J 1) (/.f64 J U))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 J U) J)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 J 4)) 1) (/.f64 (pow.f64 (cbrt.f64 J) 2) U))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 J (pow.f64 (cbrt.f64 U) 2)) (/.f64 J (cbrt.f64 U)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 U) 2)) (/.f64 (.f64 J J) (cbrt.f64 U)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 J 4)) (pow.f64 (cbrt.f64 U) 2)) (cbrt.f64 (/.f64 J (/.f64 U J))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 U)) (/.f64 (.f64 J J) (sqrt.f64 U)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 J 4)) (sqrt.f64 U)) (/.f64 (pow.f64 (cbrt.f64 J) 2) (sqrt.f64 U)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 J (/.f64 U J)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 J (/.f64 U J)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 J (/.f64 U J))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 J (sqrt.f64 U)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 U (.f64 J J)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 U (.f64 J J)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 J J) (neg.f64 U)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 J 4) (.f64 U U)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 J (/.f64 U J))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 J (/.f64 U J)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 J (/.f64 U J)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 J J) 3) (pow.f64 U 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 J (/.f64 U J))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 J (/.f64 U J))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 J (/.f64 U J))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 J (/.f64 U J))) 1))))))
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simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

734×	`fma-def_binary64`
670×	`associate-/l*_binary64`
473×	`cancel-sign-sub-inv_binary64`
404×	`fma-neg_binary64`
345×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	1764
1	174	1762
2	486	1758
3	1842	1737
4	5959	1731

Stop Event

1×	node limit

Counts

351 → 283

Calls

Call 1

Inputs
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
1
(+.f64 (*.f64 -1/4 (pow.f64 K 2)) 1)
(+.f64 (.f64 -1/4 (pow.f64 K 2)) (+.f64 (.f64 1/48 (pow.f64 K 4)) 1))
(+.f64 (.f64 -1/4 (pow.f64 K 2)) (+.f64 (.f64 -1/1440 (pow.f64 K 6)) (+.f64 (*.f64 1/48 (pow.f64 K 4)) 1)))
(/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)
(/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)
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(/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)
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(/.f64 (pow.f64 J 2) U)
(+.f64 (/.f64 (pow.f64 J 2) U) (.f64 -1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U)))
(+.f64 (/.f64 (pow.f64 J 2) U) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 K 4) (pow.f64 J 2)) U)) (.f64 -1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U))))
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(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(*.f64 -1/2 U)
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(*.f64 -1/2 U)
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(*.f64 -1/2 U)
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(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U)) (+.f64 (.f64 -1/2 U) (.f64 -1/48 (/.f64 (*.f64 (pow.f64 K 4) (pow.f64 J 2)) U)))) (/.f64 (pow.f64 J 2) U))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U)) (+.f64 (.f64 1/1440 (/.f64 (.f64 (pow.f64 K 6) (pow.f64 J 2)) U)) (+.f64 (.f64 -1/2 U) (.f64 -1/48 (/.f64 (*.f64 (pow.f64 K 4) (pow.f64 J 2)) U))))) (/.f64 (pow.f64 J 2) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))

Outputs
(/.f64 (pow.f64 J 2) U)
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(/.f64 (pow.f64 J 2) U)
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(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
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(/.f64 (pow.f64 J 2) U)
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(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(*.f64 J (/.f64 J U))
1
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(-.f64 (fma.f64 1/4 (/.f64 (.f64 K K) (/.f64 U (.f64 J J))) (fma.f64 -1/2 U (.f64 (/.f64 (pow.f64 K 4) (/.f64 U (.f64 J J))) -1/48))) (/.f64 (*.f64 J J) U))
(fma.f64 (.f64 (/.f64 (.f64 K K) U) (.f64 J J)) 1/4 (-.f64 (fma.f64 U -1/2 (.f64 (.f64 (/.f64 (pow.f64 K 4) U) (.f64 J J)) -1/48)) (/.f64 (*.f64 J J) U)))
(-.f64 (fma.f64 U -1/2 (fma.f64 (.f64 (.f64 J J) (/.f64 (.f64 K K) U)) 1/4 (.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 K 4) U)) -1/48))) (/.f64 (*.f64 J J) U))
(-.f64 (fma.f64 U -1/2 (.f64 (.f64 J J) (+.f64 (.f64 1/4 (.f64 (/.f64 K U) K)) (.f64 -1/48 (/.f64 (pow.f64 K 4) U))))) (.f64 J (/.f64 J U)))
(fma.f64 U -1/2 (.f64 J (-.f64 (.f64 J (+.f64 (.f64 -1/48 (/.f64 (pow.f64 K 4) U)) (.f64 1/4 (*.f64 (/.f64 K U) K)))) (/.f64 J U))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U)) (+.f64 (.f64 1/1440 (/.f64 (.f64 (pow.f64 K 6) (pow.f64 J 2)) U)) (+.f64 (.f64 -1/2 U) (.f64 -1/48 (/.f64 (*.f64 (pow.f64 K 4) (pow.f64 J 2)) U))))) (/.f64 (pow.f64 J 2) U))
(-.f64 (fma.f64 1/4 (/.f64 (.f64 K K) (/.f64 U (.f64 J J))) (fma.f64 1/1440 (/.f64 (pow.f64 K 6) (/.f64 U (.f64 J J))) (fma.f64 -1/2 U (.f64 (/.f64 (pow.f64 K 4) (/.f64 U (.f64 J J))) -1/48)))) (/.f64 (.f64 J J) U))
(-.f64 (fma.f64 (.f64 (/.f64 (.f64 K K) U) (.f64 J J)) 1/4 (fma.f64 (.f64 (/.f64 (pow.f64 K 6) U) (.f64 J J)) 1/1440 (fma.f64 U -1/2 (.f64 (.f64 (/.f64 (pow.f64 K 4) U) (.f64 J J)) -1/48)))) (/.f64 (*.f64 J J) U))
(-.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 K 6) U)) 1/1440 (fma.f64 U -1/2 (fma.f64 (.f64 (.f64 J J) (/.f64 (.f64 K K) U)) 1/4 (.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 K 4) U)) -1/48)))) (/.f64 (*.f64 J J) U))
(+.f64 (fma.f64 U -1/2 (.f64 (.f64 J J) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 K 4) U)) (/.f64 (pow.f64 K 6) (/.f64 U 1/1440))))) (.f64 J (-.f64 (/.f64 (*.f64 K K) (/.f64 (/.f64 U J) 1/4)) (/.f64 J U))))
(fma.f64 U -1/2 (.f64 J (-.f64 (.f64 J (+.f64 (.f64 -1/48 (/.f64 (pow.f64 K 4) U)) (/.f64 (pow.f64 K 6) (/.f64 U 1/1440)))) (+.f64 (/.f64 J U) (/.f64 K (/.f64 (/.f64 U J) (.f64 -1/4 K)))))))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 2) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (.f64 K 1/2)) 2)))
(-.f64 (.f64 U -1/2) (.f64 J (/.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 2) (/.f64 U J))))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 2) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (.f64 K 1/2)) 2)))
(-.f64 (.f64 U -1/2) (.f64 J (/.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 2) (/.f64 U J))))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 2) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (.f64 K 1/2)) 2)))
(-.f64 (.f64 U -1/2) (.f64 J (/.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 2) (/.f64 U J))))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 2) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (.f64 K 1/2)) 2)))
(-.f64 (.f64 U -1/2) (.f64 J (/.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 2) (/.f64 U J))))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 2) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (.f64 K 1/2)) 2)))
(-.f64 (.f64 U -1/2) (.f64 J (/.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 2) (/.f64 U J))))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 2) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (.f64 K 1/2)) 2)))
(-.f64 (.f64 U -1/2) (.f64 J (/.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 2) (/.f64 U J))))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 2) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (.f64 K 1/2)) 2)))
(-.f64 (.f64 U -1/2) (.f64 J (/.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 2) (/.f64 U J))))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 2) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (.f64 K 1/2)) 2)))
(-.f64 (.f64 U -1/2) (.f64 J (/.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 2) (/.f64 U J))))

localize19.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(*.f64 J (cos.f64 (/.f64 K 2)))
	0.1b	(.f64 J (cos.f64 (.f64 K 1/2)))
	0.1b	(/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))
	0.0b	(hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2))))))
	0.1b	(*.f64 J (cos.f64 (/.f64 K 2)))
✓	0.6b	(cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2))))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2)))) 3)
✓	9.9b	(.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (pow.f64 (cbrt.f64 (.f64 J (cos.f64 (*.f64 K 1/2)))) 3))

series23.0ms (0.1%)

Counts

3 → 60

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	K	@	0	(pow.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2)))) 3)
3.0ms	K	@	0	(.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (pow.f64 (cbrt.f64 (.f64 J (cos.f64 (*.f64 K 1/2)))) 3))
2.0ms	K	@	-inf	(pow.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2)))) 3)
2.0ms	K	@	inf	(pow.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2)))) 3)
1.0ms	J	@	-inf	(.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (pow.f64 (cbrt.f64 (.f64 J (cos.f64 (*.f64 K 1/2)))) 3))

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`log-prod_binary64`
394×	`pow2_binary64`
277×	`pow1/3_binary64`
276×	`expm1-udef_binary64`
276×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	49
1	425	49
2	4141	49

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

Inputs

(*.f64 (hypot.f64 1 (/.f64 U (*.f64 2 (*.f64 J (cos.f64 (/.f64 K 2)))))) (pow.f64 (cbrt.f64 (*.f64 J (cos.f64 (*.f64 K 1/2)))) 3))

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

(cbrt.f64 (*.f64 J (cos.f64 (*.f64 K 1/2))))

Outputs

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

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

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

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

671×	`associate-/l*_binary64`
578×	`associate-/r*_binary64`
557×	`distribute-rgt-in_binary64`
555×	`distribute-lft-in_binary64`
243×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	2762
1	778	2617
2	3129	2497

Stop Event

1×	node limit

Counts

140 → 131

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(+.f64 (.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(*.f64 1/2 U)
(+.f64 (.f64 1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)))))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3))))))
(*.f64 -1/2 U)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (.f64 -1/2 U)))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (*.f64 -1/2 U))))
(*.f64 1/2 U)
(+.f64 (.f64 1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)))))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3))))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(+.f64 (.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
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(.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)
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(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (.f64 -1/8 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)))) (+.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J) (+.f64 (.f64 (pow.f64 K 6) (+.f64 (.f64 1/12288 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (.f64 1/256 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) 2)) J))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 (.f64 -1/16 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 1/3072 (/.f64 U J)) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J)))) (.f64 -1/46080 (/.f64 U J)))) U) J)) (.f64 -1/4 (/.f64 (.f64 U (+.f64 (.f64 1/3072 (/.f64 U J)) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J)))) (.f64 -1/46080 (/.f64 U J))))) J)))) (.f64 1/32 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (.f64 1/256 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) 2)) (pow.f64 U 2)) (.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 J 2))))) J) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))))) (.f64 -1/46080 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)))))) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/384 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)) (+.f64 (.f64 -1/256 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (.f64 1/256 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) 2)) J)))))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(*.f64 (pow.f64 1 1/3) J)
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) J)) (.f64 -1/24 (.f64 (pow.f64 1 1/3) J)))) (.f64 (pow.f64 1 1/3) J))
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) J)) (.f64 -1/24 (.f64 (pow.f64 1 1/3) J)))) (+.f64 (.f64 (pow.f64 1 1/3) J) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J)))) (+.f64 (.f64 1/288 (.f64 (pow.f64 1 1/3) J)) (.f64 (pow.f64 (.f64 1 J) 1/3) (+.f64 (.f64 1/576 (pow.f64 (.f64 1 (pow.f64 J 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 J) 1/3) (-.f64 (.f64 1/384 J) (*.f64 1/192 J)))))))))))
(+.f64 (.f64 (pow.f64 K 6) (+.f64 (.f64 -1/36 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J)))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/46080 J) (+.f64 (.f64 -1/13824 J) (.f64 -1/12 (-.f64 (.f64 1/384 J) (.f64 1/192 J))))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 J) 1/3) (+.f64 (.f64 -1/36 (.f64 (pow.f64 (/.f64 1 J) 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J)))) (.f64 2/3 (.f64 (-.f64 (.f64 -1/46080 J) (+.f64 (.f64 -1/13824 J) (.f64 -1/12 (-.f64 (.f64 1/384 J) (.f64 1/192 J))))) (pow.f64 (/.f64 1 J) 1/3))))) (.f64 -1/24 (.f64 (+.f64 (.f64 1/576 (pow.f64 (.f64 1 (pow.f64 J 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 J) 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J))))) (pow.f64 (.f64 1 J) 1/3))))))) (+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) J)) (.f64 -1/24 (.f64 (pow.f64 1 1/3) J)))) (+.f64 (.f64 (pow.f64 1 1/3) J) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J)))) (+.f64 (.f64 1/288 (.f64 (pow.f64 1 1/3) J)) (.f64 (pow.f64 (.f64 1 J) 1/3) (+.f64 (.f64 1/576 (pow.f64 (.f64 1 (pow.f64 J 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 J) 1/3) (-.f64 (.f64 1/384 J) (*.f64 1/192 J))))))))))))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(pow.f64 J 1/3)
(+.f64 (.f64 -1/24 (.f64 (pow.f64 (*.f64 1 J) 1/3) (pow.f64 K 2))) (pow.f64 J 1/3))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 (.f64 1 J) 1/3) (pow.f64 K 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 J 2)) 1/3) (.f64 (pow.f64 K 4) (-.f64 (.f64 1/384 J) (.f64 1/192 J))))) (pow.f64 J 1/3)))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 (.f64 1 J) 1/3) (pow.f64 K 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/46080 J) (+.f64 (.f64 -1/13824 J) (.f64 -1/12 (-.f64 (.f64 1/384 J) (.f64 1/192 J))))) (pow.f64 K 6)) (pow.f64 (/.f64 1 (pow.f64 J 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 J 2)) 1/3) (.f64 (pow.f64 K 4) (-.f64 (.f64 1/384 J) (.f64 1/192 J))))) (pow.f64 J 1/3))))
(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 1/3)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 1/3)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 1/3)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 1/3)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 1/3)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 1/3)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 1/3)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 1/3)

Outputs
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (.f64 1/8 (/.f64 (.f64 U U) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (.f64 1/8 (/.f64 (/.f64 (.f64 U U) (cos.f64 (.f64 1/2 K))) J)))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (/.f64 1/8 (/.f64 (cos.f64 (.f64 1/2 K)) (/.f64 (*.f64 U U) J))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))) (.f64 1/8 (/.f64 (.f64 U U) (.f64 (cos.f64 (*.f64 1/2 K)) J)))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 1/8 (/.f64 (/.f64 (.f64 U U) (cos.f64 (.f64 1/2 K))) J) (.f64 (/.f64 -1/128 (pow.f64 J 3)) (/.f64 (pow.f64 U 4) (pow.f64 (cos.f64 (*.f64 1/2 K)) 3)))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 1/8 (.f64 (/.f64 U J) (/.f64 U (cos.f64 (.f64 1/2 K)))) (.f64 (/.f64 -1/128 (pow.f64 (cos.f64 (*.f64 1/2 K)) 3)) (/.f64 (pow.f64 U 4) (pow.f64 J 3)))))
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(fma.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5))) (fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))) (.f64 1/8 (/.f64 (.f64 U U) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(fma.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5))) (fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 1/8 (/.f64 (/.f64 (.f64 U U) (cos.f64 (.f64 1/2 K))) J) (.f64 (/.f64 -1/128 (pow.f64 J 3)) (/.f64 (pow.f64 U 4) (pow.f64 (cos.f64 (*.f64 1/2 K)) 3))))))
(fma.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5))) (fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 1/8 (.f64 (/.f64 U J) (/.f64 U (cos.f64 (.f64 1/2 K)))) (.f64 (/.f64 -1/128 (pow.f64 (cos.f64 (*.f64 1/2 K)) 3)) (/.f64 (pow.f64 U 4) (pow.f64 J 3))))))
(*.f64 1/2 U)
(+.f64 (.f64 1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(fma.f64 1/2 U (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2)) U))
(fma.f64 1/2 U (/.f64 (.f64 J J) (/.f64 U (pow.f64 (cos.f64 (.f64 1/2 K)) 2))))
(fma.f64 1/2 U (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2)))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)))))
(fma.f64 1/2 U (+.f64 (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)) U) (neg.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4))))))
(-.f64 (fma.f64 1/2 U (/.f64 (.f64 J J) (/.f64 U (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))) (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4))))
(-.f64 (fma.f64 1/2 U (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (.f64 1/2 K)) 2))) (.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4)))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3))))))
(+.f64 (fma.f64 1/2 U (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)) U)) (fma.f64 2 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (/.f64 (pow.f64 U 5) (pow.f64 J 6))) (neg.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4))))))
(+.f64 (-.f64 (.f64 2 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 U 5)) (pow.f64 J 6))) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4)))) (fma.f64 1/2 U (/.f64 (.f64 J J) (/.f64 U (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))))
(+.f64 (-.f64 (/.f64 (.f64 2 (pow.f64 J 6)) (/.f64 (pow.f64 U 5) (pow.f64 (cos.f64 (.f64 1/2 K)) 6))) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4))) (fma.f64 1/2 U (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))))
(*.f64 -1/2 U)
(*.f64 U -1/2)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(fma.f64 -1 (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)) U) (.f64 U -1/2))
(-.f64 (.f64 U -1/2) (/.f64 (.f64 J J) (/.f64 U (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))
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(*.f64 (pow.f64 1 1/3) J)
J
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) J)) (.f64 -1/24 (.f64 (pow.f64 1 1/3) J)))) (.f64 (pow.f64 1 1/3) J))
(fma.f64 (.f64 K K) (.f64 J -1/8) J)
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) J)) (.f64 -1/24 (.f64 (pow.f64 1 1/3) J)))) (+.f64 (.f64 (pow.f64 1 1/3) J) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J)))) (+.f64 (.f64 1/288 (.f64 (pow.f64 1 1/3) J)) (.f64 (pow.f64 (.f64 1 J) 1/3) (+.f64 (.f64 1/576 (pow.f64 (.f64 1 (pow.f64 J 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 J) 1/3) (-.f64 (.f64 1/384 J) (*.f64 1/192 J)))))))))))
(+.f64 (fma.f64 (.f64 K K) (.f64 J -1/8) J) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/3 (.f64 J -1/384)) (fma.f64 1/288 J (.f64 (cbrt.f64 J) (fma.f64 1/576 (cbrt.f64 (.f64 J J)) (.f64 2/3 (.f64 (.f64 J -1/384) (cbrt.f64 (/.f64 1 J))))))))))
(fma.f64 (.f64 K K) (.f64 J -1/8) (fma.f64 (pow.f64 K 4) (fma.f64 1/3 (.f64 J -1/384) (fma.f64 J 1/288 (.f64 (cbrt.f64 J) (fma.f64 1/576 (cbrt.f64 (.f64 J J)) (.f64 (.f64 J -1/384) (.f64 2/3 (cbrt.f64 (/.f64 1 J)))))))) J))
(fma.f64 (.f64 K K) (.f64 J -1/8) (fma.f64 (pow.f64 K 4) (fma.f64 1/3 (.f64 J -1/384) (fma.f64 (cbrt.f64 J) (fma.f64 1/576 (cbrt.f64 (.f64 J J)) (.f64 (.f64 J -1/384) (.f64 2/3 (cbrt.f64 (/.f64 1 J))))) (.f64 J 1/288))) J))
(+.f64 (.f64 (pow.f64 K 6) (+.f64 (.f64 -1/36 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J)))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/46080 J) (+.f64 (.f64 -1/13824 J) (.f64 -1/12 (-.f64 (.f64 1/384 J) (.f64 1/192 J))))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 J) 1/3) (+.f64 (.f64 -1/36 (.f64 (pow.f64 (/.f64 1 J) 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J)))) (.f64 2/3 (.f64 (-.f64 (.f64 -1/46080 J) (+.f64 (.f64 -1/13824 J) (.f64 -1/12 (-.f64 (.f64 1/384 J) (.f64 1/192 J))))) (pow.f64 (/.f64 1 J) 1/3))))) (.f64 -1/24 (.f64 (+.f64 (.f64 1/576 (pow.f64 (.f64 1 (pow.f64 J 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 J) 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J))))) (pow.f64 (.f64 1 J) 1/3))))))) (+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) J)) (.f64 -1/24 (.f64 (pow.f64 1 1/3) J)))) (+.f64 (.f64 (pow.f64 1 1/3) J) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J)))) (+.f64 (.f64 1/288 (.f64 (pow.f64 1 1/3) J)) (.f64 (pow.f64 (.f64 1 J) 1/3) (+.f64 (.f64 1/576 (pow.f64 (.f64 1 (pow.f64 J 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 J) 1/3) (-.f64 (.f64 1/384 J) (*.f64 1/192 J))))))))))))
(fma.f64 (pow.f64 K 6) (+.f64 (.f64 -1/36 (.f64 J -1/384)) (fma.f64 1/3 (.f64 1 (-.f64 (.f64 J -1/46080) (fma.f64 -1/13824 J (.f64 -1/12 (.f64 J -1/384))))) (fma.f64 (cbrt.f64 J) (fma.f64 -1/36 (.f64 (.f64 J -1/384) (cbrt.f64 (/.f64 1 J))) (.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 J)) (-.f64 (.f64 J -1/46080) (fma.f64 -1/13824 J (.f64 -1/12 (.f64 J -1/384))))))) (.f64 -1/24 (.f64 (cbrt.f64 J) (fma.f64 1/576 (cbrt.f64 (.f64 J J)) (.f64 2/3 (.f64 (.f64 J -1/384) (cbrt.f64 (/.f64 1 J)))))))))) (+.f64 (fma.f64 (.f64 K K) (.f64 J -1/8) J) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/3 (.f64 J -1/384)) (fma.f64 1/288 J (.f64 (cbrt.f64 J) (fma.f64 1/576 (cbrt.f64 (.f64 J J)) (.f64 2/3 (.f64 (*.f64 J -1/384) (cbrt.f64 (/.f64 1 J)))))))))))
(fma.f64 (pow.f64 K 6) (fma.f64 (.f64 J -1/384) -1/36 (fma.f64 1/3 (-.f64 (.f64 J 7/138240) (.f64 J 1/4608)) (.f64 (cbrt.f64 J) (+.f64 (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 J)) (-.f64 (.f64 J 7/138240) (.f64 J 1/4608))) (.f64 (.f64 (.f64 J -1/384) (cbrt.f64 (/.f64 1 J))) -1/36)) (.f64 -1/24 (fma.f64 1/576 (cbrt.f64 (.f64 J J)) (.f64 (.f64 J -1/384) (.f64 2/3 (cbrt.f64 (/.f64 1 J)))))))))) (fma.f64 (.f64 K K) (.f64 J -1/8) (fma.f64 (pow.f64 K 4) (fma.f64 1/3 (.f64 J -1/384) (fma.f64 J 1/288 (.f64 (cbrt.f64 J) (fma.f64 1/576 (cbrt.f64 (.f64 J J)) (.f64 (.f64 J -1/384) (*.f64 2/3 (cbrt.f64 (/.f64 1 J)))))))) J)))
(fma.f64 (pow.f64 K 6) (fma.f64 (.f64 J -1/384) -1/36 (fma.f64 1/3 (.f64 J -23/138240) (.f64 (cbrt.f64 J) (+.f64 (.f64 -1/24 (fma.f64 1/576 (cbrt.f64 (.f64 J J)) (.f64 (.f64 J -1/384) (.f64 2/3 (cbrt.f64 (/.f64 1 J)))))) (.f64 (cbrt.f64 (/.f64 1 J)) (+.f64 (.f64 (.f64 J -1/384) -1/36) (.f64 2/3 (.f64 J -23/138240)))))))) (fma.f64 (.f64 K K) (.f64 J -1/8) (fma.f64 (pow.f64 K 4) (fma.f64 1/3 (.f64 J -1/384) (fma.f64 (cbrt.f64 J) (fma.f64 1/576 (cbrt.f64 (.f64 J J)) (.f64 (.f64 J -1/384) (.f64 2/3 (cbrt.f64 (/.f64 1 J))))) (*.f64 J 1/288))) J)))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(pow.f64 J 1/3)
(cbrt.f64 J)
(+.f64 (.f64 -1/24 (.f64 (pow.f64 (*.f64 1 J) 1/3) (pow.f64 K 2))) (pow.f64 J 1/3))
(fma.f64 -1/24 (.f64 (.f64 K K) (cbrt.f64 J)) (cbrt.f64 J))
(fma.f64 -1/24 (.f64 K (.f64 K (cbrt.f64 J))) (cbrt.f64 J))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 (.f64 1 J) 1/3) (pow.f64 K 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 J 2)) 1/3) (.f64 (pow.f64 K 4) (-.f64 (.f64 1/384 J) (.f64 1/192 J))))) (pow.f64 J 1/3)))
(fma.f64 -1/24 (.f64 (.f64 K K) (cbrt.f64 J)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 J J))) (.f64 (pow.f64 K 4) (.f64 J -1/384))) (cbrt.f64 J)))
(fma.f64 -1/24 (.f64 K (.f64 K (cbrt.f64 J))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 J J))) (.f64 J (.f64 -1/384 (pow.f64 K 4)))) (cbrt.f64 J)))
(fma.f64 -1/24 (.f64 K (.f64 K (cbrt.f64 J))) (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 J J))) (.f64 J -1/384)) (pow.f64 K 4)) (cbrt.f64 J)))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 (.f64 1 J) 1/3) (pow.f64 K 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/46080 J) (+.f64 (.f64 -1/13824 J) (.f64 -1/12 (-.f64 (.f64 1/384 J) (.f64 1/192 J))))) (pow.f64 K 6)) (pow.f64 (/.f64 1 (pow.f64 J 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 J 2)) 1/3) (.f64 (pow.f64 K 4) (-.f64 (.f64 1/384 J) (.f64 1/192 J))))) (pow.f64 J 1/3))))
(fma.f64 -1/24 (.f64 (.f64 K K) (cbrt.f64 J)) (fma.f64 1/3 (.f64 (-.f64 (.f64 J -1/46080) (fma.f64 -1/13824 J (.f64 -1/12 (.f64 J -1/384)))) (.f64 (pow.f64 K 6) (cbrt.f64 (/.f64 1 (.f64 J J))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 J J))) (.f64 (pow.f64 K 4) (.f64 J -1/384))) (cbrt.f64 J))))
(fma.f64 -1/24 (.f64 K (.f64 K (cbrt.f64 J))) (fma.f64 1/3 (.f64 (pow.f64 K 6) (.f64 (-.f64 (.f64 J 7/138240) (.f64 J 1/4608)) (cbrt.f64 (/.f64 1 (.f64 J J))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 J J))) (.f64 J (*.f64 -1/384 (pow.f64 K 4)))) (cbrt.f64 J))))
(+.f64 (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 J J)))) (+.f64 (.f64 J (.f64 -1/384 (pow.f64 K 4))) (.f64 (pow.f64 K 6) (.f64 J -23/138240)))) (fma.f64 -1/24 (.f64 K (*.f64 K (cbrt.f64 J))) (cbrt.f64 J)))
(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 1/3)
(cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J))
(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 1/3)
(cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J))
(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 1/3)
(cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J))
(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 1/3)
(cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J))
(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 1/3)
(cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J))
(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 1/3)
(cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J))
(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 1/3)
(cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J))
(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 1/3)
(cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J))

eval618.0ms (2.8%)

Compiler: Compiled 24048 to 17283 computations (28.1% saved)

prune185.0ms (0.8%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	638	17	655
Fresh	4	0	4
Picked	1	0	1
Done	4	1	5
Total	647	18	665

Error

Counts

665 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	47.1b	(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 J (+.f64 (/.f64 J U) (/.f64 K (/.f64 (/.f64 U J) (.f64 -1/4 K)))))))
	53.5b	(.f64 -2 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) 3)))
▶	24.1b	(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 (.f64 J (sqrt.f64 (cos.f64 (.f64 K 1/2)))) (sqrt.f64 (cos.f64 (.f64 K 1/2))))))
	43.8b	(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 J (/.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 2) (/.f64 U J)))))
▶	11.0b	(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 (.f64 J (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2)) (cbrt.f64 (cos.f64 (.f64 K 1/2))))))
	45.1b	(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) 1)))
	11.8b	(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (pow.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (cbrt.f64 J)) 3)))
✓	33.8b	(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
	43.5b	U
▶	47.3b	(*.f64 -2 J)
	33.9b	(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) J))
	12.7b	(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2))))) 3) 3)))
▶	47.0b	(.f64 -2 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J)) 2))
	34.3b	(.f64 -2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J)) 3))
▶	45.0b	(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K))))))))
	38.4b	(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (sqrt.f64 J)) (sqrt.f64 J))))
	11.7b	(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2)))) (pow.f64 (cbrt.f64 (.f64 J (cos.f64 (*.f64 K 1/2)))) 2))))
	47.2b	(.f64 -2 (.f64 1/2 U))

Compiler

Compiled 707 to 564 computations (20.2% saved)

localize50.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(*.f64 J (cos.f64 (/.f64 K 2)))
	0.1b	(.f64 J (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2))
	0.1b	(/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))
	0.0b	(hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2))))))
✓	0.1b	(.f64 (.f64 J (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2)) (cbrt.f64 (cos.f64 (.f64 K 1/2))))
✓	0.2b	(pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 2)
✓	0.3b	(cbrt.f64 (cos.f64 (*.f64 K 1/2)))
✓	9.9b	(.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 (.f64 J (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2)) (cbrt.f64 (cos.f64 (*.f64 K 1/2)))))

series20.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	K	@	inf	(.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 (.f64 J (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2)) (cbrt.f64 (cos.f64 (*.f64 K 1/2)))))
2.0ms	J	@	0	(.f64 (.f64 J (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2)) (cbrt.f64 (cos.f64 (.f64 K 1/2))))
2.0ms	K	@	inf	(cbrt.f64 (cos.f64 (*.f64 K 1/2)))
2.0ms	K	@	inf	(.f64 (.f64 J (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2)) (cbrt.f64 (cos.f64 (.f64 K 1/2))))
2.0ms	K	@	-inf	(cbrt.f64 (cos.f64 (*.f64 K 1/2)))

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`log-prod_binary64`
292×	`expm1-udef_binary64`
292×	`log1p-udef_binary64`
272×	`pow3_binary64`
248×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	57
1	420	57
2	4412	57

Stop Event

1×	node limit

Counts

4 → 84

Calls

Call 1

Inputs
(.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 (.f64 J (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2)) (cbrt.f64 (cos.f64 (*.f64 K 1/2)))))
(cbrt.f64 (cos.f64 (*.f64 K 1/2)))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) 2)
(.f64 (.f64 J (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2)) (cbrt.f64 (cos.f64 (.f64 K 1/2))))

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

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

960×	`times-frac_binary64`
937×	`fma-def_binary64`
539×	`associate-/l*_binary64`
412×	`associate-/r*_binary64`
290×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	2717
1	584	2605
2	2051	2481

Stop Event

1×	node limit

Counts

168 → 140

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(+.f64 (.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(*.f64 1/2 U)
(+.f64 (.f64 1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)))))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3))))))
(*.f64 -1/2 U)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (.f64 -1/2 U)))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (*.f64 -1/2 U))))
(*.f64 1/2 U)
(+.f64 (.f64 1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)))))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3))))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(+.f64 (.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(+.f64 (.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (.f64 -1/8 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)))) (.f64 (sqrt.f64 (+.f64 1 (*.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J))
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (.f64 -1/8 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)))) (+.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/384 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)) (+.f64 (.f64 -1/256 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (.f64 1/256 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) 2)) J))))))))
(+.f64 (.f64 (+.f64 (.f64 1/12288 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (.f64 (-.f64 (+.f64 (.f64 -1/16 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 1/3072 (/.f64 U J)) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J)))) (.f64 -1/46080 (/.f64 U J)))) U) J)) (.f64 -1/4 (/.f64 (.f64 U (+.f64 (.f64 1/3072 (/.f64 U J)) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J)))) (.f64 -1/46080 (/.f64 U J))))) J)))) (.f64 1/32 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (.f64 1/256 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) 2)) (pow.f64 U 2)) (.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 J 2))))) J))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (.f64 1/256 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) 2)) J))) (.f64 -1/46080 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J))))) (pow.f64 K 6)) (+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (.f64 -1/8 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)))) (+.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/384 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)) (+.f64 (.f64 -1/256 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (.f64 1/256 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) 2)) J)))))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
1
(+.f64 1 (*.f64 -1/24 (pow.f64 K 2)))
(+.f64 1 (+.f64 (.f64 -1/24 (pow.f64 K 2)) (.f64 -1/1152 (pow.f64 K 4))))
(+.f64 (.f64 -23/414720 (pow.f64 K 6)) (+.f64 1 (+.f64 (.f64 -1/24 (pow.f64 K 2)) (*.f64 -1/1152 (pow.f64 K 4)))))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
1
(+.f64 1 (*.f64 -1/12 (pow.f64 K 2)))
(+.f64 1 (+.f64 (.f64 -1/12 (pow.f64 K 2)) (.f64 -1/25920 (pow.f64 K 6))))
(+.f64 1 (+.f64 (.f64 -1/435456 (pow.f64 K 8)) (+.f64 (.f64 -1/12 (pow.f64 K 2)) (*.f64 -1/25920 (pow.f64 K 6)))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
J
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J))
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) J)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)

Outputs
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (.f64 1/8 (/.f64 (.f64 U U) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (.f64 (/.f64 1/8 J) (/.f64 (.f64 U U) (cos.f64 (.f64 1/2 K)))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (/.f64 (/.f64 (.f64 1/8 (.f64 U U)) (cos.f64 (.f64 1/2 K))) J))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))) (.f64 1/8 (/.f64 (.f64 U U) (.f64 (cos.f64 (*.f64 1/2 K)) J)))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 1/8 (.f64 (/.f64 U J) (/.f64 U (cos.f64 (.f64 1/2 K)))) (/.f64 (.f64 -1/128 (pow.f64 U 4)) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 (/.f64 -1/128 (pow.f64 J 3)) (/.f64 (pow.f64 U 4) (pow.f64 (cos.f64 (.f64 1/2 K)) 3)) (/.f64 (/.f64 (.f64 1/8 (.f64 U U)) (cos.f64 (*.f64 1/2 K))) J)))
(+.f64 (.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(fma.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5))) (fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))) (.f64 1/8 (/.f64 (.f64 U U) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(fma.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5))) (fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 1/8 (.f64 (/.f64 U J) (/.f64 U (cos.f64 (.f64 1/2 K)))) (/.f64 (.f64 -1/128 (pow.f64 U 4)) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))))))
(fma.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5))) (fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 (/.f64 -1/128 (pow.f64 J 3)) (/.f64 (pow.f64 U 4) (pow.f64 (cos.f64 (.f64 1/2 K)) 3)) (/.f64 (/.f64 (.f64 1/8 (.f64 U U)) (cos.f64 (*.f64 1/2 K))) J))))
(*.f64 1/2 U)
(+.f64 (.f64 1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(fma.f64 1/2 U (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (/.f64 U (.f64 J J))))
(fma.f64 1/2 U (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (*.f64 J J)))
(fma.f64 1/2 U (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2)))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)))))
(+.f64 (fma.f64 1/2 U (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (/.f64 U (.f64 J J)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4)))))
(-.f64 (fma.f64 1/2 U (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J))) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4))))
(fma.f64 1/2 U (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 U 3)) (neg.f64 (pow.f64 J 4)))))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3))))))
(+.f64 (fma.f64 1/2 U (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (/.f64 U (.f64 J J)))) (fma.f64 2 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (/.f64 (pow.f64 U 5) (pow.f64 J 6))) (neg.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4))))))
(+.f64 (-.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) 2) (/.f64 (pow.f64 U 5) (pow.f64 J 6))) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4)))) (fma.f64 1/2 U (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J))))
(-.f64 (fma.f64 1/2 U (fma.f64 2 (.f64 (/.f64 (pow.f64 J 6) (pow.f64 U 5)) (pow.f64 (cos.f64 (.f64 1/2 K)) 6)) (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))) (.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4)))
(*.f64 -1/2 U)
(*.f64 U -1/2)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(fma.f64 -1 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (/.f64 U (.f64 J J))) (*.f64 U -1/2))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J)))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (.f64 -1/2 U)))
(+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4))) (fma.f64 -1 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (/.f64 U (.f64 J J))) (.f64 U -1/2)))
(+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4))) (-.f64 (.f64 U -1/2) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (*.f64 J J))))
(-.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4) (.f64 U -1/2)) (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2)))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (*.f64 -1/2 U))))
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(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (.f64 J J)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) (/.f64 U (pow.f64 (cos.f64 (.f64 1/2 K)) 2))) 1)))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (fma.f64 (/.f64 1/4 (.f64 J J)) (/.f64 (.f64 U U) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)) 1)))
1
(+.f64 1 (*.f64 -1/24 (pow.f64 K 2)))
(+.f64 1 (.f64 (.f64 K K) -1/24))
(fma.f64 (*.f64 K K) -1/24 1)
(fma.f64 (*.f64 -1/24 K) K 1)
(+.f64 1 (+.f64 (.f64 -1/24 (pow.f64 K 2)) (.f64 -1/1152 (pow.f64 K 4))))
(+.f64 1 (fma.f64 -1/24 (.f64 K K) (.f64 (pow.f64 K 4) -1/1152)))
(+.f64 1 (fma.f64 (.f64 K K) -1/24 (.f64 (pow.f64 K 4) -1/1152)))
(fma.f64 (*.f64 K K) -1/24 (fma.f64 (pow.f64 K 4) -1/1152 1))
(+.f64 (.f64 -23/414720 (pow.f64 K 6)) (+.f64 1 (+.f64 (.f64 -1/24 (pow.f64 K 2)) (*.f64 -1/1152 (pow.f64 K 4)))))
(fma.f64 -23/414720 (pow.f64 K 6) (+.f64 1 (fma.f64 -1/24 (.f64 K K) (.f64 (pow.f64 K 4) -1/1152))))
(+.f64 (fma.f64 (.f64 K K) -1/24 (.f64 (pow.f64 K 4) -1/1152)) (fma.f64 (pow.f64 K 6) -23/414720 1))
(fma.f64 (pow.f64 K 6) -23/414720 (fma.f64 (*.f64 K K) -1/24 (fma.f64 (pow.f64 K 4) -1/1152 1)))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 K)))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 K)))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 K)))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 K)))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 K)))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 K)))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 K)))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 K)))
1
(+.f64 1 (*.f64 -1/12 (pow.f64 K 2)))
(+.f64 1 (.f64 (.f64 K K) -1/12))
(fma.f64 (*.f64 K K) -1/12 1)
(fma.f64 K (*.f64 K -1/12) 1)
(+.f64 1 (+.f64 (.f64 -1/12 (pow.f64 K 2)) (.f64 -1/25920 (pow.f64 K 6))))
(+.f64 1 (fma.f64 -1/12 (.f64 K K) (.f64 (pow.f64 K 6) -1/25920)))
(+.f64 1 (fma.f64 (pow.f64 K 6) -1/25920 (.f64 (.f64 -1/12 K) K)))
(fma.f64 K (*.f64 K -1/12) (fma.f64 (pow.f64 K 6) -1/25920 1))
(+.f64 1 (+.f64 (.f64 -1/435456 (pow.f64 K 8)) (+.f64 (.f64 -1/12 (pow.f64 K 2)) (*.f64 -1/25920 (pow.f64 K 6)))))
(+.f64 1 (fma.f64 -1/435456 (pow.f64 K 8) (fma.f64 -1/12 (.f64 K K) (.f64 (pow.f64 K 6) -1/25920))))
(+.f64 1 (fma.f64 -1/435456 (pow.f64 K 8) (fma.f64 (pow.f64 K 6) -1/25920 (.f64 (.f64 -1/12 K) K))))
(fma.f64 -1/435456 (pow.f64 K 8) (fma.f64 K (*.f64 K -1/12) (fma.f64 (pow.f64 K 6) -1/25920 1)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
J
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)
(fma.f64 -1/8 (.f64 J (.f64 K K)) J)
(fma.f64 -1/8 (.f64 K (.f64 K J)) J)
(fma.f64 (.f64 K K) (.f64 J -1/8) J)
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J))
(fma.f64 1/384 (.f64 J (pow.f64 K 4)) (fma.f64 -1/8 (.f64 J (*.f64 K K)) J))
(fma.f64 1/384 (.f64 J (pow.f64 K 4)) (fma.f64 -1/8 (.f64 K (*.f64 K J)) J))
(fma.f64 J (fma.f64 (pow.f64 K 4) 1/384 (.f64 (.f64 K K) -1/8)) J)
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) J)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)))
(fma.f64 1/384 (.f64 J (pow.f64 K 4)) (fma.f64 -1/46080 (.f64 J (pow.f64 K 6)) (fma.f64 -1/8 (.f64 J (.f64 K K)) J)))
(fma.f64 1/384 (.f64 J (pow.f64 K 4)) (fma.f64 -1/46080 (.f64 J (pow.f64 K 6)) (fma.f64 -1/8 (.f64 K (.f64 K J)) J)))
(fma.f64 J (fma.f64 (pow.f64 K 4) 1/384 (.f64 -1/46080 (pow.f64 K 6))) (fma.f64 (.f64 K K) (*.f64 J -1/8) J))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)

localize2.0ms (0%)

localize17.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	7.0b	(/.f64 (*.f64 J J) U)
	0.6b	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K)))))
	0.1b	(.f64 (/.f64 (.f64 J J) U) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K))))))
	0.0b	(-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (.f64 1/2 K)))))))
✓	0.0b	(-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (.f64 1/2 K)))))))
✓	0.1b	(.f64 (/.f64 (.f64 J J) U) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K))))))
✓	0.6b	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K)))))
	7.0b	(/.f64 (*.f64 J J) U)

series15.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	K	@	inf	(.f64 (/.f64 (.f64 J J) U) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K))))))
2.0ms	J	@	0	(.f64 (/.f64 (.f64 J J) U) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K))))))
1.0ms	U	@	0	(.f64 (/.f64 (.f64 J J) U) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K))))))
1.0ms	J	@	inf	(-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (.f64 1/2 K)))))))
1.0ms	K	@	-inf	(.f64 (/.f64 (.f64 J J) U) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K))))))

rewrite127.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`fma-def_binary64`
333×	`fma-neg_binary64`
322×	`expm1-udef_binary64`
322×	`log1p-udef_binary64`
260×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	51
1	395	45
2	5304	45

Stop Event

1×	node limit

Counts

3 → 283

Calls

Call 1

Inputs

(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 1/2 K)))))

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

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

Outputs

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

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simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

841×	`fma-def_binary64`
656×	`associate-/l*_binary64`
553×	`cancel-sign-sub-inv_binary64`
514×	`fma-neg_binary64`
396×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	73	1668
1	197	1528
2	561	1524
3	2142	1503
4	6690	1443

Stop Event

1×	node limit

Counts

367 → 319

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1/4 (pow.f64 K 2)) 1)
(+.f64 (.f64 -1/4 (pow.f64 K 2)) (+.f64 (.f64 1/48 (pow.f64 K 4)) 1))
(+.f64 (.f64 -1/4 (pow.f64 K 2)) (+.f64 (.f64 -1/1440 (pow.f64 K 6)) (+.f64 (*.f64 1/48 (pow.f64 K 4)) 1)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 K)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 K)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 K)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 K)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 K)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 K)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 K)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 K)))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (pow.f64 J 2) U)
(+.f64 (/.f64 (pow.f64 J 2) U) (.f64 -1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U)))
(+.f64 (/.f64 (pow.f64 J 2) U) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 K 4) (pow.f64 J 2)) U)) (.f64 -1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U))))
(+.f64 (.f64 -1/1440 (/.f64 (.f64 (pow.f64 K 6) (pow.f64 J 2)) U)) (+.f64 (/.f64 (pow.f64 J 2) U) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 K 4) (pow.f64 J 2)) U)) (.f64 -1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U)))))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(.f64 -1 (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(*.f64 -1/2 U)
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)) (.f64 -1/2 U))
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(*.f64 -1/2 U)
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(*.f64 -1/2 U)
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(+.f64 (.f64 -1/2 U) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 K) U)) (*.f64 1/2 (/.f64 1 U))) (pow.f64 J 2))))
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(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U)) (+.f64 (.f64 1/1440 (/.f64 (.f64 (pow.f64 K 6) (pow.f64 J 2)) U)) (+.f64 (.f64 -1/2 U) (.f64 -1/48 (/.f64 (*.f64 (pow.f64 K 4) (pow.f64 J 2)) U))))) (/.f64 (pow.f64 J 2) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
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(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))

Outputs
1
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(fma.f64 -1/4 (*.f64 K K) 1)
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(fma.f64 -1/4 (*.f64 K K) (fma.f64 1/48 (pow.f64 K 4) 1))
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(fma.f64 -1/4 (*.f64 K K) (fma.f64 1/48 (pow.f64 K 4) (fma.f64 -1/1440 (pow.f64 K 6) 1)))
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(-.f64 (.f64 U -1/2) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U) (*.f64 J J)))
(-.f64 (.f64 U -1/2) (.f64 (*.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(fma.f64 U -1/2 (.f64 (.f64 (/.f64 J U) (neg.f64 J)) (fma.f64 1/2 (cos.f64 K) 1/2)))
(fma.f64 J (.f64 J (/.f64 (fma.f64 (cos.f64 K) -1/2 -1/2) U)) (.f64 U -1/2))
(-.f64 (*.f64 -1/2 U) (/.f64 (pow.f64 J 2) U))
(-.f64 (.f64 U -1/2) (/.f64 (.f64 J J) U))
(-.f64 (*.f64 U -1/2) (/.f64 J (/.f64 U J)))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 J U) J))
(-.f64 (.f64 U -1/2) (.f64 J (/.f64 J U)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U)) (*.f64 -1/2 U)) (/.f64 (pow.f64 J 2) U))
(-.f64 (fma.f64 1/4 (/.f64 (.f64 K K) (/.f64 U (.f64 J J))) (.f64 U -1/2)) (/.f64 (.f64 J J) U))
(-.f64 (fma.f64 U -1/2 (.f64 (.f64 (/.f64 (.f64 K K) U) (.f64 J J)) 1/4)) (/.f64 J (/.f64 U J)))
(fma.f64 U -1/2 (fma.f64 (*.f64 (/.f64 K (/.f64 (/.f64 U J) J)) K) 1/4 (/.f64 (neg.f64 J) (/.f64 U J))))
(fma.f64 U -1/2 (.f64 J (-.f64 (.f64 (*.f64 1/4 (/.f64 K (/.f64 U K))) J) (/.f64 J U))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U)) (+.f64 (.f64 -1/2 U) (.f64 -1/48 (/.f64 (*.f64 (pow.f64 K 4) (pow.f64 J 2)) U)))) (/.f64 (pow.f64 J 2) U))
(-.f64 (fma.f64 1/4 (/.f64 (.f64 K K) (/.f64 U (.f64 J J))) (fma.f64 -1/2 U (.f64 (/.f64 (.f64 (pow.f64 K 4) (.f64 J J)) U) -1/48))) (/.f64 (.f64 J J) U))
(-.f64 (fma.f64 (.f64 (/.f64 (.f64 K K) U) (.f64 J J)) 1/4 (fma.f64 U -1/2 (/.f64 (.f64 -1/48 (pow.f64 K 4)) (/.f64 (/.f64 U J) J)))) (/.f64 J (/.f64 U J)))
(-.f64 (fma.f64 U -1/2 (fma.f64 (.f64 (/.f64 K (/.f64 (/.f64 U J) J)) K) 1/4 (.f64 (/.f64 (pow.f64 K 4) (/.f64 (/.f64 U J) J)) -1/48))) (*.f64 (/.f64 J U) J))
(-.f64 (fma.f64 U -1/2 (.f64 (.f64 J J) (+.f64 (.f64 1/4 (/.f64 K (/.f64 U K))) (.f64 -1/48 (/.f64 (pow.f64 K 4) U))))) (*.f64 J (/.f64 J U)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U)) (+.f64 (.f64 1/1440 (/.f64 (.f64 (pow.f64 K 6) (pow.f64 J 2)) U)) (+.f64 (.f64 -1/2 U) (.f64 -1/48 (/.f64 (*.f64 (pow.f64 K 4) (pow.f64 J 2)) U))))) (/.f64 (pow.f64 J 2) U))
(-.f64 (fma.f64 1/4 (/.f64 (.f64 K K) (/.f64 U (.f64 J J))) (fma.f64 1/1440 (/.f64 (.f64 (pow.f64 K 6) (.f64 J J)) U) (fma.f64 -1/2 U (.f64 (/.f64 (.f64 (pow.f64 K 4) (.f64 J J)) U) -1/48)))) (/.f64 (.f64 J J) U))
(fma.f64 (.f64 (/.f64 (.f64 K K) U) (.f64 J J)) 1/4 (-.f64 (fma.f64 (.f64 (/.f64 (pow.f64 K 6) U) (.f64 J J)) 1/1440 (fma.f64 U -1/2 (/.f64 (.f64 -1/48 (pow.f64 K 4)) (/.f64 (/.f64 U J) J)))) (/.f64 J (/.f64 U J))))
(-.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 K 6) U)) 1/1440 (fma.f64 U -1/2 (fma.f64 (.f64 (/.f64 K (/.f64 (/.f64 U J) J)) K) 1/4 (.f64 (/.f64 (pow.f64 K 4) (/.f64 (/.f64 U J) J)) -1/48)))) (*.f64 (/.f64 J U) J))
(+.f64 (fma.f64 U -1/2 (.f64 (.f64 J J) (+.f64 (.f64 1/4 (/.f64 K (/.f64 U K))) (.f64 -1/48 (/.f64 (pow.f64 K 4) U))))) (.f64 J (-.f64 (.f64 (/.f64 (pow.f64 K 6) (/.f64 U 1/1440)) J) (/.f64 J U))))
(fma.f64 U -1/2 (fma.f64 (.f64 J J) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 K 4) U)) (/.f64 (pow.f64 K 6) (/.f64 U 1/1440))) (.f64 J (-.f64 (.f64 (*.f64 1/4 (/.f64 K (/.f64 U K))) J) (/.f64 J U)))))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U) (*.f64 J J)))
(-.f64 (.f64 U -1/2) (.f64 (*.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(fma.f64 U -1/2 (.f64 (.f64 (/.f64 J U) (neg.f64 J)) (fma.f64 1/2 (cos.f64 K) 1/2)))
(fma.f64 J (.f64 J (/.f64 (fma.f64 (cos.f64 K) -1/2 -1/2) U)) (.f64 U -1/2))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U) (*.f64 J J)))
(-.f64 (.f64 U -1/2) (.f64 (*.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(fma.f64 U -1/2 (.f64 (.f64 (/.f64 J U) (neg.f64 J)) (fma.f64 1/2 (cos.f64 K) 1/2)))
(fma.f64 J (.f64 J (/.f64 (fma.f64 (cos.f64 K) -1/2 -1/2) U)) (.f64 U -1/2))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U) (*.f64 J J)))
(-.f64 (.f64 U -1/2) (.f64 (*.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(fma.f64 U -1/2 (.f64 (.f64 (/.f64 J U) (neg.f64 J)) (fma.f64 1/2 (cos.f64 K) 1/2)))
(fma.f64 J (.f64 J (/.f64 (fma.f64 (cos.f64 K) -1/2 -1/2) U)) (.f64 U -1/2))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U) (*.f64 J J)))
(-.f64 (.f64 U -1/2) (.f64 (*.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(fma.f64 U -1/2 (.f64 (.f64 (/.f64 J U) (neg.f64 J)) (fma.f64 1/2 (cos.f64 K) 1/2)))
(fma.f64 J (.f64 J (/.f64 (fma.f64 (cos.f64 K) -1/2 -1/2) U)) (.f64 U -1/2))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U) (*.f64 J J)))
(-.f64 (.f64 U -1/2) (.f64 (*.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(fma.f64 U -1/2 (.f64 (.f64 (/.f64 J U) (neg.f64 J)) (fma.f64 1/2 (cos.f64 K) 1/2)))
(fma.f64 J (.f64 J (/.f64 (fma.f64 (cos.f64 K) -1/2 -1/2) U)) (.f64 U -1/2))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U) (*.f64 J J)))
(-.f64 (.f64 U -1/2) (.f64 (*.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(fma.f64 U -1/2 (.f64 (.f64 (/.f64 J U) (neg.f64 J)) (fma.f64 1/2 (cos.f64 K) 1/2)))
(fma.f64 J (.f64 J (/.f64 (fma.f64 (cos.f64 K) -1/2 -1/2) U)) (.f64 U -1/2))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U) (*.f64 J J)))
(-.f64 (.f64 U -1/2) (.f64 (*.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(fma.f64 U -1/2 (.f64 (.f64 (/.f64 J U) (neg.f64 J)) (fma.f64 1/2 (cos.f64 K) 1/2)))
(fma.f64 J (.f64 J (/.f64 (fma.f64 (cos.f64 K) -1/2 -1/2) U)) (.f64 U -1/2))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U) (*.f64 J J)))
(-.f64 (.f64 U -1/2) (.f64 (*.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(fma.f64 U -1/2 (.f64 (.f64 (/.f64 J U) (neg.f64 J)) (fma.f64 1/2 (cos.f64 K) 1/2)))
(fma.f64 J (.f64 J (/.f64 (fma.f64 (cos.f64 K) -1/2 -1/2) U)) (.f64 U -1/2))

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J)) 2)
	0.1b	(.f64 (cos.f64 (.f64 1/2 K)) J)
	0.1b	(sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J))
✓	0.1b	(sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J))
	0.1b	(.f64 (cos.f64 (.f64 1/2 K)) J)
✓	0.3b	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J)) 2)

series12.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite50.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`pow1_binary64`
712×	`add-log-exp_binary64`
712×	`log1p-expm1-u_binary64`
712×	`expm1-log1p-u_binary64`
696×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	203	20
2	1991	20

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

506×	`+-commutative_binary64`
415×	`*-commutative_binary64`
378×	`distribute-rgt-in_binary64`
370×	`distribute-lft-in_binary64`
293×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	317
1	142	311
2	404	258
3	1779	236
4	4954	236

Stop Event

1×	node limit

Counts

68 → 67

Calls

Call 1

Inputs
J
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)
(+.f64 (.f64 (pow.f64 K 4) (-.f64 (+.f64 (.f64 1/384 J) (.f64 1/256 J)) (pow.f64 (.f64 -1/16 (sqrt.f64 J)) 2))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J))
(+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) J)) (+.f64 (.f64 (pow.f64 K 4) (-.f64 (+.f64 (.f64 1/384 J) (.f64 1/256 J)) (pow.f64 (.f64 -1/16 (sqrt.f64 J)) 2))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(sqrt.f64 J)
(+.f64 (sqrt.f64 J) (.f64 -1/16 (.f64 (pow.f64 K 2) (sqrt.f64 J))))
(+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/384 J) (pow.f64 (.f64 -1/16 (sqrt.f64 J)) 2)) (pow.f64 K 4)) (sqrt.f64 (/.f64 1 J)))) (+.f64 (sqrt.f64 J) (.f64 -1/16 (*.f64 (pow.f64 K 2) (sqrt.f64 J)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/384 J) (pow.f64 (.f64 -1/16 (sqrt.f64 J)) 2)) (pow.f64 K 4)) (sqrt.f64 (/.f64 1 J)))) (+.f64 (sqrt.f64 J) (+.f64 (.f64 -1/16 (.f64 (pow.f64 K 2) (sqrt.f64 J))) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 -1/46080 J) (.f64 -1/16 (-.f64 (.f64 1/384 J) (pow.f64 (.f64 -1/16 (sqrt.f64 J)) 2)))) (pow.f64 K 6)) (sqrt.f64 (/.f64 1 J)))))))

Outputs
J
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)
(fma.f64 -1/8 (.f64 J (.f64 K K)) J)
(.f64 J (fma.f64 -1/8 (.f64 K K) 1))
(+.f64 (.f64 (pow.f64 K 4) (-.f64 (+.f64 (.f64 1/384 J) (.f64 1/256 J)) (pow.f64 (.f64 -1/16 (sqrt.f64 J)) 2))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J))
(fma.f64 (pow.f64 K 4) (-.f64 (.f64 J 5/768) (pow.f64 (.f64 -1/16 (sqrt.f64 J)) 2)) (fma.f64 -1/8 (.f64 J (.f64 K K)) J))
(fma.f64 (pow.f64 K 4) (fma.f64 J 5/768 (.f64 J -1/256)) (.f64 J (fma.f64 -1/8 (*.f64 K K) 1)))
(.f64 J (+.f64 (fma.f64 -1/8 (.f64 K K) 1) (*.f64 (pow.f64 K 4) 1/384)))
(+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) J)) (+.f64 (.f64 (pow.f64 K 4) (-.f64 (+.f64 (.f64 1/384 J) (.f64 1/256 J)) (pow.f64 (.f64 -1/16 (sqrt.f64 J)) 2))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)))
(fma.f64 -1/46080 (.f64 J (pow.f64 K 6)) (fma.f64 (pow.f64 K 4) (-.f64 (.f64 J 5/768) (pow.f64 (.f64 -1/16 (sqrt.f64 J)) 2)) (fma.f64 -1/8 (.f64 J (*.f64 K K)) J)))
(fma.f64 (pow.f64 K 4) (fma.f64 J 5/768 (.f64 J -1/256)) (.f64 J (+.f64 (.f64 -1/46080 (pow.f64 K 6)) (fma.f64 -1/8 (.f64 K K) 1))))
(.f64 J (+.f64 (+.f64 (.f64 -1/46080 (pow.f64 K 6)) (fma.f64 -1/8 (.f64 K K) 1)) (.f64 (pow.f64 K 4) 1/384)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(sqrt.f64 J)
(+.f64 (sqrt.f64 J) (.f64 -1/16 (.f64 (pow.f64 K 2) (sqrt.f64 J))))
(+.f64 (sqrt.f64 J) (.f64 -1/16 (.f64 (*.f64 K K) (sqrt.f64 J))))
(fma.f64 -1/16 (.f64 (.f64 K K) (sqrt.f64 J)) (sqrt.f64 J))
(.f64 (sqrt.f64 J) (fma.f64 (.f64 K K) -1/16 1))
(+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/384 J) (pow.f64 (.f64 -1/16 (sqrt.f64 J)) 2)) (pow.f64 K 4)) (sqrt.f64 (/.f64 1 J)))) (+.f64 (sqrt.f64 J) (.f64 -1/16 (*.f64 (pow.f64 K 2) (sqrt.f64 J)))))
(fma.f64 1/2 (.f64 (-.f64 (.f64 J 1/384) (pow.f64 (.f64 -1/16 (sqrt.f64 J)) 2)) (.f64 (pow.f64 K 4) (sqrt.f64 (/.f64 1 J)))) (+.f64 (sqrt.f64 J) (.f64 -1/16 (.f64 (*.f64 K K) (sqrt.f64 J)))))
(fma.f64 1/2 (.f64 (pow.f64 K 4) (.f64 (-.f64 (.f64 J 1/384) (pow.f64 (.f64 -1/16 (sqrt.f64 J)) 2)) (sqrt.f64 (/.f64 1 J)))) (fma.f64 -1/16 (.f64 (.f64 K K) (sqrt.f64 J)) (sqrt.f64 J)))
(fma.f64 (.f64 (pow.f64 K 4) (fma.f64 J 1/384 (.f64 J -1/256))) (.f64 1/2 (sqrt.f64 (/.f64 1 J))) (.f64 (sqrt.f64 J) (fma.f64 (*.f64 K K) -1/16 1)))
(fma.f64 1/2 (.f64 (pow.f64 K 4) (.f64 (.f64 J -1/768) (sqrt.f64 (/.f64 1 J)))) (.f64 (sqrt.f64 J) (fma.f64 (*.f64 K K) -1/16 1)))
(fma.f64 (.f64 J -1/768) (.f64 (pow.f64 K 4) (.f64 1/2 (sqrt.f64 (/.f64 1 J)))) (.f64 (sqrt.f64 J) (fma.f64 (*.f64 K K) -1/16 1)))
(+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/384 J) (pow.f64 (.f64 -1/16 (sqrt.f64 J)) 2)) (pow.f64 K 4)) (sqrt.f64 (/.f64 1 J)))) (+.f64 (sqrt.f64 J) (+.f64 (.f64 -1/16 (.f64 (pow.f64 K 2) (sqrt.f64 J))) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 -1/46080 J) (.f64 -1/16 (-.f64 (.f64 1/384 J) (pow.f64 (.f64 -1/16 (sqrt.f64 J)) 2)))) (pow.f64 K 6)) (sqrt.f64 (/.f64 1 J)))))))
(fma.f64 1/2 (.f64 (-.f64 (.f64 J 1/384) (pow.f64 (.f64 -1/16 (sqrt.f64 J)) 2)) (.f64 (pow.f64 K 4) (sqrt.f64 (/.f64 1 J)))) (+.f64 (sqrt.f64 J) (fma.f64 -1/16 (.f64 (.f64 K K) (sqrt.f64 J)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 J)) (.f64 (pow.f64 K 6) (-.f64 (.f64 J -1/46080) (.f64 -1/16 (-.f64 (.f64 J 1/384) (pow.f64 (*.f64 -1/16 (sqrt.f64 J)) 2))))))))))
(+.f64 (fma.f64 1/2 (.f64 (fma.f64 J -1/46080 (.f64 (-.f64 (.f64 J 1/384) (pow.f64 (.f64 -1/16 (sqrt.f64 J)) 2)) 1/16)) (.f64 (pow.f64 K 6) (sqrt.f64 (/.f64 1 J)))) (.f64 (.f64 K K) (.f64 -1/16 (sqrt.f64 J)))) (fma.f64 (.f64 (.f64 1/2 (pow.f64 K 4)) (-.f64 (.f64 J 1/384) (pow.f64 (.f64 -1/16 (sqrt.f64 J)) 2))) (sqrt.f64 (/.f64 1 J)) (sqrt.f64 J)))
(fma.f64 (fma.f64 (.f64 K K) -1/16 1) (sqrt.f64 J) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 J))) (+.f64 (.f64 (pow.f64 K 6) (fma.f64 (fma.f64 J 1/384 (.f64 J -1/256)) 1/16 (.f64 J -1/46080))) (.f64 (pow.f64 K 4) (fma.f64 J 1/384 (.f64 J -1/256))))))
(fma.f64 (fma.f64 (.f64 K K) -1/16 1) (sqrt.f64 J) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 J))) (+.f64 (.f64 (pow.f64 K 4) (.f64 J -1/768)) (.f64 (pow.f64 K 6) (fma.f64 J -1/46080 (.f64 (.f64 J -1/768) 1/16))))))
(fma.f64 (fma.f64 (.f64 K K) -1/16 1) (sqrt.f64 J) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 J)) (+.f64 (.f64 (pow.f64 K 4) (.f64 J -1/768)) (.f64 (pow.f64 K 6) (fma.f64 J 13/92160 (.f64 (.f64 J -1/256) 1/16)))))))

localize17.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))
	0.1b	(.f64 (.f64 J (sqrt.f64 (cos.f64 (.f64 K 1/2)))) (sqrt.f64 (cos.f64 (.f64 K 1/2))))
	0.0b	(sqrt.f64 (cos.f64 (*.f64 K 1/2)))
	0.0b	(hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2))))))
	0.1b	(/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))
✓	0.1b	(.f64 J (sqrt.f64 (cos.f64 (.f64 K 1/2))))
	0.1b	(*.f64 J (cos.f64 (/.f64 K 2)))
✓	6.4b	(.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 (.f64 J (sqrt.f64 (cos.f64 (.f64 K 1/2)))) (sqrt.f64 (cos.f64 (*.f64 K 1/2)))))

series25.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
18.0ms	K	@	0	(.f64 J (sqrt.f64 (cos.f64 (.f64 K 1/2))))
1.0ms	K	@	0	(.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 (.f64 J (sqrt.f64 (cos.f64 (.f64 K 1/2)))) (sqrt.f64 (cos.f64 (*.f64 K 1/2)))))
1.0ms	K	@	inf	(.f64 J (sqrt.f64 (cos.f64 (.f64 K 1/2))))
1.0ms	J	@	0	(.f64 J (sqrt.f64 (cos.f64 (.f64 K 1/2))))
1.0ms	J	@	inf	(.f64 J (sqrt.f64 (cos.f64 (.f64 K 1/2))))

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

869×	`log-prod_binary64`
290×	`pow1/3_binary64`
281×	`expm1-udef_binary64`
281×	`log1p-udef_binary64`
262×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	40
1	399	40
2	4190	40

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs

(*.f64 (hypot.f64 1 (/.f64 U (*.f64 2 (*.f64 J (cos.f64 (/.f64 K 2)))))) (*.f64 (*.f64 J (sqrt.f64 (cos.f64 (*.f64 K 1/2)))) (sqrt.f64 (cos.f64 (*.f64 K 1/2)))))

(*.f64 J (sqrt.f64 (cos.f64 (*.f64 K 1/2))))

Outputs

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

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

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

960×	`times-frac_binary64`
832×	`fma-def_binary64`
536×	`associate-/l*_binary64`
411×	`associate-/r*_binary64`
290×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	2501
1	529	2393
2	1906	2283

Stop Event

1×	node limit

Counts

100 → 81

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(+.f64 (.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(*.f64 1/2 U)
(+.f64 (.f64 1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)))))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3))))))
(*.f64 -1/2 U)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (.f64 -1/2 U)))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (*.f64 -1/2 U))))
(*.f64 1/2 U)
(+.f64 (.f64 1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)))))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3))))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(+.f64 (.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(+.f64 (.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (.f64 -1/8 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)))) (.f64 (sqrt.f64 (+.f64 1 (*.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J))
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (.f64 -1/8 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)))) (+.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/384 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)) (+.f64 (.f64 -1/256 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (.f64 1/256 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) 2)) J))))))))
(+.f64 (.f64 (+.f64 (.f64 1/12288 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (.f64 (-.f64 (+.f64 (.f64 -1/16 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 1/3072 (/.f64 U J)) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J)))) (.f64 -1/46080 (/.f64 U J)))) U) J)) (.f64 -1/4 (/.f64 (.f64 U (+.f64 (.f64 1/3072 (/.f64 U J)) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J)))) (.f64 -1/46080 (/.f64 U J))))) J)))) (.f64 1/32 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (.f64 1/256 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) 2)) (pow.f64 U 2)) (.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 J 2))))) J))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (.f64 1/256 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) 2)) J))) (.f64 -1/46080 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J))))) (pow.f64 K 6)) (+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (.f64 -1/8 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)))) (+.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/384 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)) (+.f64 (.f64 -1/256 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (.f64 1/256 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) 2)) J)))))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
J
(+.f64 (.f64 -1/16 (.f64 (pow.f64 K 2) J)) J)
(+.f64 (.f64 -1/16 (.f64 (pow.f64 K 2) J)) (+.f64 (.f64 -1/1536 (.f64 (pow.f64 K 4) J)) J))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 K 2) J)) (+.f64 (.f64 -19/368640 (.f64 (pow.f64 K 6) J)) (+.f64 (.f64 -1/1536 (.f64 (pow.f64 K 4) J)) J)))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)

Outputs
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (.f64 1/8 (/.f64 (.f64 U U) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (/.f64 (/.f64 (.f64 1/8 (.f64 U U)) J) (cos.f64 (.f64 1/2 K))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (.f64 (/.f64 (.f64 U U) J) (/.f64 1/8 (cos.f64 (.f64 1/2 K)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))) (.f64 1/8 (/.f64 (.f64 U U) (.f64 (cos.f64 (*.f64 1/2 K)) J)))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 1/8 (.f64 (/.f64 U J) (/.f64 U (cos.f64 (.f64 1/2 K)))) (.f64 (/.f64 -1/128 (pow.f64 (cos.f64 (*.f64 1/2 K)) 3)) (/.f64 (pow.f64 U 4) (pow.f64 J 3)))))
(fma.f64 1/8 (.f64 (/.f64 U J) (/.f64 U (cos.f64 (.f64 1/2 K)))) (fma.f64 (/.f64 -1/128 (pow.f64 (cos.f64 (.f64 1/2 K)) 3)) (/.f64 (pow.f64 U 4) (pow.f64 J 3)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 (.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(fma.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5))) (fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))) (.f64 1/8 (/.f64 (.f64 U U) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(fma.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5))) (fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 1/8 (.f64 (/.f64 U J) (/.f64 U (cos.f64 (.f64 1/2 K)))) (.f64 (/.f64 -1/128 (pow.f64 (cos.f64 (*.f64 1/2 K)) 3)) (/.f64 (pow.f64 U 4) (pow.f64 J 3))))))
(fma.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5))) (fma.f64 1/8 (.f64 (/.f64 U J) (/.f64 U (cos.f64 (.f64 1/2 K)))) (fma.f64 (/.f64 -1/128 (pow.f64 (cos.f64 (.f64 1/2 K)) 3)) (/.f64 (pow.f64 U 4) (pow.f64 J 3)) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(*.f64 1/2 U)
(+.f64 (.f64 1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(fma.f64 1/2 U (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2)) U))
(fma.f64 1/2 U (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (*.f64 J J)))
(fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J) (*.f64 1/2 U))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)))))
(+.f64 (fma.f64 1/2 U (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)) U)) (neg.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4)))))
(-.f64 (fma.f64 1/2 U (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J))) (.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4)))
(-.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J) (.f64 1/2 U)) (.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4)))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3))))))
(+.f64 (fma.f64 1/2 U (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)) U)) (fma.f64 2 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (/.f64 (pow.f64 U 5) (pow.f64 J 6))) (neg.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4))))))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 2 (pow.f64 (cos.f64 (.f64 1/2 K)) 6)) (pow.f64 J 6)) (pow.f64 U 5)) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4))) (fma.f64 1/2 U (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J))))
(-.f64 (fma.f64 1/2 U (fma.f64 2 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 U 5)) (pow.f64 J 6)) (.f64 (/.f64 J (/.f64 U J)) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4)))
(*.f64 -1/2 U)
(*.f64 U -1/2)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(fma.f64 -1 (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)) U) (.f64 U -1/2))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J)))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 J (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2)))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (.f64 -1/2 U)))
(+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4))) (fma.f64 -1 (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)) U) (*.f64 U -1/2)))
(+.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4)) (-.f64 (.f64 U -1/2) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J))))
(-.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4) (.f64 U -1/2)) (.f64 (/.f64 J (/.f64 U J)) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (*.f64 -1/2 U))))
(+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4))) (fma.f64 -1 (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)) U) (fma.f64 -2 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (/.f64 (pow.f64 U 5) (pow.f64 J 6))) (.f64 U -1/2))))
(+.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4)) (-.f64 (fma.f64 U -1/2 (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 U 5)) (pow.f64 J 6)) -2)) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4) (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 U 5)) (pow.f64 J 6)) -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 J (/.f64 U J)) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))))
(*.f64 1/2 U)
(+.f64 (.f64 1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(fma.f64 1/2 U (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2)) U))
(fma.f64 1/2 U (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (*.f64 J J)))
(fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J) (*.f64 1/2 U))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)))))
(+.f64 (fma.f64 1/2 U (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)) U)) (neg.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4)))))
(-.f64 (fma.f64 1/2 U (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J))) (.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4)))
(-.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J) (.f64 1/2 U)) (.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4)))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3))))))
(+.f64 (fma.f64 1/2 U (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)) U)) (fma.f64 2 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (/.f64 (pow.f64 U 5) (pow.f64 J 6))) (neg.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4))))))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 2 (pow.f64 (cos.f64 (.f64 1/2 K)) 6)) (pow.f64 J 6)) (pow.f64 U 5)) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4))) (fma.f64 1/2 U (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J))))
(-.f64 (fma.f64 1/2 U (fma.f64 2 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 U 5)) (pow.f64 J 6)) (.f64 (/.f64 J (/.f64 U J)) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (.f64 1/8 (/.f64 (.f64 U U) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (/.f64 (/.f64 (.f64 1/8 (.f64 U U)) J) (cos.f64 (.f64 1/2 K))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (.f64 (/.f64 (.f64 U U) J) (/.f64 1/8 (cos.f64 (.f64 1/2 K)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))) (.f64 1/8 (/.f64 (.f64 U U) (.f64 (cos.f64 (*.f64 1/2 K)) J)))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 1/8 (.f64 (/.f64 U J) (/.f64 U (cos.f64 (.f64 1/2 K)))) (.f64 (/.f64 -1/128 (pow.f64 (cos.f64 (*.f64 1/2 K)) 3)) (/.f64 (pow.f64 U 4) (pow.f64 J 3)))))
(fma.f64 1/8 (.f64 (/.f64 U J) (/.f64 U (cos.f64 (.f64 1/2 K)))) (fma.f64 (/.f64 -1/128 (pow.f64 (cos.f64 (.f64 1/2 K)) 3)) (/.f64 (pow.f64 U 4) (pow.f64 J 3)) (.f64 (cos.f64 (*.f64 1/2 K)) J)))
(+.f64 (.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(fma.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5))) (fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))) (.f64 1/8 (/.f64 (.f64 U U) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(fma.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5))) (fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 1/8 (.f64 (/.f64 U J) (/.f64 U (cos.f64 (.f64 1/2 K)))) (.f64 (/.f64 -1/128 (pow.f64 (cos.f64 (*.f64 1/2 K)) 3)) (/.f64 (pow.f64 U 4) (pow.f64 J 3))))))
(fma.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5))) (fma.f64 1/8 (.f64 (/.f64 U J) (/.f64 U (cos.f64 (.f64 1/2 K)))) (fma.f64 (/.f64 -1/128 (pow.f64 (cos.f64 (.f64 1/2 K)) 3)) (/.f64 (pow.f64 U 4) (pow.f64 J 3)) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (.f64 1/8 (/.f64 (.f64 U U) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (/.f64 (/.f64 (.f64 1/8 (.f64 U U)) J) (cos.f64 (.f64 1/2 K))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (.f64 (/.f64 (.f64 U U) J) (/.f64 1/8 (cos.f64 (.f64 1/2 K)))))
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(fma.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) U) 1))) (.f64 (/.f64 (.f64 U U) J) 1/12288) (fma.f64 J (.f64 (sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) U) 1)) -1/46080) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) U) 1))) (+.f64 (.f64 1/2 (.f64 J (fma.f64 (.f64 (/.f64 U J) (/.f64 (.f64 U -5/384) J)) -1/16 (fma.f64 (.f64 (/.f64 U J) (fma.f64 (/.f64 U J) 1/3072 (.f64 (/.f64 U J) -19/11520))) -1/2 (.f64 (/.f64 -1/32 J) (/.f64 (-.f64 (fma.f64 -1/2 (.f64 (/.f64 U J) (/.f64 (.f64 U -5/384) J)) (.f64 (.f64 (/.f64 U (.f64 J J)) U) 1/256)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) U) 1))) (.f64 (.f64 (/.f64 U (.f64 J J)) U) 1/32)) 2)) (.f64 J (/.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) U) 1) (.f64 U U))))))))) (.f64 -1/16 (.f64 J (-.f64 (fma.f64 -1/2 (.f64 (/.f64 U J) (/.f64 (.f64 U -5/384) J)) (.f64 (.f64 (/.f64 U (.f64 J J)) U) 1/256)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) U) 1))) (.f64 (.f64 (/.f64 U (.f64 J J)) U) 1/32)) 2)))))))) (pow.f64 K 6) (fma.f64 (pow.f64 K 4) (fma.f64 J (.f64 (sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) U) 1)) 1/384) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) U) 1))) (+.f64 (.f64 1/2 (.f64 J (-.f64 (fma.f64 -1/2 (.f64 (/.f64 U J) (/.f64 (.f64 U -5/384) J)) (.f64 (.f64 (/.f64 U (.f64 J J)) U) 1/256)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) U) 1))) (.f64 (.f64 (/.f64 U (.f64 J J)) U) 1/32)) 2)))) (.f64 -1/256 (/.f64 (.f64 U U) J))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) U) 1))) (/.f64 (.f64 U U) J)) (.f64 1/32 (.f64 K K)) (.f64 (+.f64 (.f64 (.f64 K K) -1/8) 1) (.f64 J (sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) U) 1)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) (/.f64 U (pow.f64 (cos.f64 (.f64 1/2 K)) 2))) 1)))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) (/.f64 U (pow.f64 (cos.f64 (.f64 1/2 K)) 2))) 1)))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) (/.f64 U (pow.f64 (cos.f64 (.f64 1/2 K)) 2))) 1)))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) (/.f64 U (pow.f64 (cos.f64 (.f64 1/2 K)) 2))) 1)))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) (/.f64 U (pow.f64 (cos.f64 (.f64 1/2 K)) 2))) 1)))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) (/.f64 U (pow.f64 (cos.f64 (.f64 1/2 K)) 2))) 1)))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) (/.f64 U (pow.f64 (cos.f64 (.f64 1/2 K)) 2))) 1)))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (fma.f64 1/4 (.f64 (/.f64 U (.f64 J J)) (/.f64 U (pow.f64 (cos.f64 (.f64 1/2 K)) 2))) 1)))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))
J
(+.f64 (.f64 -1/16 (.f64 (pow.f64 K 2) J)) J)
(fma.f64 -1/16 (.f64 J (.f64 K K)) J)
(fma.f64 (.f64 (.f64 K K) -1/16) J J)
(.f64 (fma.f64 (.f64 -1/16 K) K 1) J)
(+.f64 (.f64 -1/16 (.f64 (pow.f64 K 2) J)) (+.f64 (.f64 -1/1536 (.f64 (pow.f64 K 4) J)) J))
(fma.f64 -1/16 (.f64 J (.f64 K K)) (fma.f64 -1/1536 (*.f64 J (pow.f64 K 4)) J))
(fma.f64 -1/16 (.f64 K (.f64 K J)) (fma.f64 -1/1536 (*.f64 J (pow.f64 K 4)) J))
(fma.f64 J (fma.f64 (.f64 K K) -1/16 (.f64 (pow.f64 K 4) -1/1536)) J)
(+.f64 (.f64 -1/16 (.f64 (pow.f64 K 2) J)) (+.f64 (.f64 -19/368640 (.f64 (pow.f64 K 6) J)) (+.f64 (.f64 -1/1536 (.f64 (pow.f64 K 4) J)) J)))
(fma.f64 -1/16 (.f64 J (.f64 K K)) (fma.f64 -19/368640 (.f64 J (pow.f64 K 6)) (fma.f64 -1/1536 (.f64 J (pow.f64 K 4)) J)))
(fma.f64 -1/16 (.f64 K (.f64 K J)) (fma.f64 -19/368640 (.f64 J (pow.f64 K 6)) (fma.f64 -1/1536 (.f64 J (pow.f64 K 4)) J)))
(fma.f64 J (fma.f64 (.f64 K K) -1/16 (.f64 (pow.f64 K 6) -19/368640)) (*.f64 (fma.f64 (pow.f64 K 4) -1/1536 1) J))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) J)
(.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K))))

eval525.0ms (2.4%)

Compiler: Compiled 26174 to 17251 computations (34.1% saved)

prune150.0ms (0.7%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	773	10	783
Fresh	5	7	12
Picked	1	0	1
Done	2	3	5
Total	781	20	801

Error

Counts

801 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.0b	(.f64 -2 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) 2) (.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 K))) J)))
	43.5b	U
	54.6b	(*.f64 -2 (pow.f64 (sqrt.f64 J) 2))
✓	47.3b	(*.f64 -2 J)
	43.9b	(.f64 -2 (-.f64 (.f64 U -1/2) (*.f64 J (/.f64 J U))))
	40.5b	(.f64 -2 (.f64 (.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K)))) (sqrt.f64 (cos.f64 (*.f64 1/2 K)))))
▶	53.5b	(.f64 -2 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) 3)))
✓	47.0b	(.f64 -2 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J)) 2))
	45.0b	(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (/.f64 (+.f64 (cos.f64 K) 1) 2))))
▶	47.2b	(.f64 -2 (.f64 1/2 U))
▶	11.8b	(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (pow.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (cbrt.f64 J)) 3)))
	48.2b	(.f64 -2 (.f64 (cbrt.f64 (.f64 J J)) (.f64 (cbrt.f64 J) (cos.f64 (*.f64 1/2 K)))))
✓	33.8b	(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
	33.9b	(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) J))
	12.7b	(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2))))) 3) 3)))
	48.2b	(.f64 -2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (sqrt.f64 J)) (sqrt.f64 J)))
	34.3b	(.f64 -2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J)) 3))
▶	43.8b	(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K))))))))
	34.3b	(.f64 -2 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J)) 2) (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J))))
	45.1b	(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) 1)))

Compiler

Compiled 615 to 497 computations (19.2% saved)

localize19.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (cbrt.f64 J))
	0.1b	(*.f64 J (cos.f64 (/.f64 K 2)))
	0.1b	(/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))
	0.0b	(hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2))))))
	0.3b	(cbrt.f64 (cos.f64 (*.f64 K 1/2)))
✓	0.6b	(cbrt.f64 J)
✓	0.7b	(pow.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (cbrt.f64 J)) 3)
✓	9.9b	(.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (pow.f64 (.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) (cbrt.f64 J)) 3))

series13.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	K	@	inf	(pow.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (cbrt.f64 J)) 3)
2.0ms	K	@	-inf	(pow.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (cbrt.f64 J)) 3)
1.0ms	K	@	0	(.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (pow.f64 (.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) (cbrt.f64 J)) 3))
1.0ms	K	@	0	(pow.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (cbrt.f64 J)) 3)
1.0ms	J	@	0	(pow.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (cbrt.f64 J)) 3)

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`log-prod_binary64`
300×	`expm1-udef_binary64`
300×	`log1p-udef_binary64`
255×	`log-pow_binary64`
181×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	41
1	445	41
2	4528	41

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs

(*.f64 (hypot.f64 1 (/.f64 U (*.f64 2 (*.f64 J (cos.f64 (/.f64 K 2)))))) (pow.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 K 1/2))) (cbrt.f64 J)) 3))

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

(cbrt.f64 J)

Outputs

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

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

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

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

668×	`associate-/l*_binary64`
576×	`associate-/r*_binary64`
508×	`distribute-rgt-in_binary64`
506×	`distribute-lft-in_binary64`
300×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	2541
1	718	2403
2	2890	2299

Stop Event

1×	node limit

Counts

130 → 123

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(+.f64 (.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(*.f64 1/2 U)
(+.f64 (.f64 1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)))))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3))))))
(*.f64 -1/2 U)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (.f64 -1/2 U)))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (*.f64 -1/2 U))))
(*.f64 1/2 U)
(+.f64 (.f64 1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)))))
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(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(+.f64 (.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(+.f64 (.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (.f64 -1/8 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)))) (.f64 (sqrt.f64 (+.f64 1 (*.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J))
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (.f64 -1/8 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)))) (+.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/384 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)) (+.f64 (.f64 -1/256 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (.f64 1/256 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) 2)) J))))))))
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (.f64 -1/8 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)))) (+.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J) (+.f64 (.f64 (pow.f64 K 6) (+.f64 (.f64 1/12288 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (.f64 1/256 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) 2)) J))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 (.f64 -1/16 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 1/3072 (/.f64 U J)) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J)))) (.f64 -1/46080 (/.f64 U J)))) U) J)) (.f64 -1/4 (/.f64 (.f64 U (+.f64 (.f64 1/3072 (/.f64 U J)) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J)))) (.f64 -1/46080 (/.f64 U J))))) J)))) (.f64 1/32 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (.f64 1/256 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) 2)) (pow.f64 U 2)) (.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 J 2))))) J) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))))) (.f64 -1/46080 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)))))) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/384 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2))))) J)) (+.f64 (.f64 -1/256 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) J))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 U J)) (.f64 1/384 (/.f64 U J))) U) J)) (.f64 1/256 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) (pow.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 1/4 (/.f64 (pow.f64 U 2) (pow.f64 J 2)))))) (/.f64 (pow.f64 U 2) (pow.f64 J 2)))) 2)) J)))))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (sqrt.f64 (+.f64 1 (.f64 1/4 (/.f64 (pow.f64 U 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)))))))
(*.f64 (pow.f64 1 1/3) J)
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) J)) (.f64 -1/24 (.f64 (pow.f64 1 1/3) J)))) (.f64 (pow.f64 1 1/3) J))
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) J)) (.f64 -1/24 (.f64 (pow.f64 1 1/3) J)))) (+.f64 (.f64 (pow.f64 1 1/3) J) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J)))) (+.f64 (.f64 1/288 (.f64 (pow.f64 1 1/3) J)) (.f64 (pow.f64 (.f64 1 J) 1/3) (+.f64 (.f64 1/576 (pow.f64 (.f64 1 (pow.f64 J 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 J) 1/3) (-.f64 (.f64 1/384 J) (*.f64 1/192 J)))))))))))
(+.f64 (.f64 (pow.f64 K 6) (+.f64 (.f64 -1/36 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J)))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/46080 J) (+.f64 (.f64 -1/13824 J) (.f64 -1/12 (-.f64 (.f64 1/384 J) (.f64 1/192 J))))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 J) 1/3) (+.f64 (.f64 -1/36 (.f64 (pow.f64 (/.f64 1 J) 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J)))) (.f64 2/3 (.f64 (-.f64 (.f64 -1/46080 J) (+.f64 (.f64 -1/13824 J) (.f64 -1/12 (-.f64 (.f64 1/384 J) (.f64 1/192 J))))) (pow.f64 (/.f64 1 J) 1/3))))) (.f64 -1/24 (.f64 (+.f64 (.f64 1/576 (pow.f64 (.f64 1 (pow.f64 J 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 J) 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J))))) (pow.f64 (.f64 1 J) 1/3))))))) (+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) J)) (.f64 -1/24 (.f64 (pow.f64 1 1/3) J)))) (+.f64 (.f64 (pow.f64 1 1/3) J) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J)))) (+.f64 (.f64 1/288 (.f64 (pow.f64 1 1/3) J)) (.f64 (pow.f64 (.f64 1 J) 1/3) (+.f64 (.f64 1/576 (pow.f64 (.f64 1 (pow.f64 J 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 J) 1/3) (-.f64 (.f64 1/384 J) (*.f64 1/192 J))))))))))))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))

Outputs
(.f64 (cos.f64 (.f64 1/2 K)) J)
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (.f64 1/8 (/.f64 (.f64 U U) (.f64 (cos.f64 (*.f64 1/2 K)) J))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (/.f64 (/.f64 (.f64 1/8 (.f64 U U)) J) (cos.f64 (.f64 1/2 K))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (/.f64 (/.f64 1/8 (/.f64 J (.f64 U U))) (cos.f64 (*.f64 1/2 K))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (.f64 1/2 K)) J)))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))) (.f64 1/8 (/.f64 (.f64 U U) (.f64 (cos.f64 (*.f64 1/2 K)) J)))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 1/8 (.f64 (/.f64 U J) (/.f64 U (cos.f64 (.f64 1/2 K)))) (.f64 (/.f64 -1/128 (pow.f64 (cos.f64 (*.f64 1/2 K)) 3)) (/.f64 (pow.f64 U 4) (pow.f64 J 3)))))
(fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 1/8 (.f64 U (/.f64 (/.f64 U J) (cos.f64 (.f64 1/2 K)))) (.f64 (/.f64 -1/128 (pow.f64 (cos.f64 (*.f64 1/2 K)) 3)) (/.f64 (pow.f64 U 4) (pow.f64 J 3)))))
(+.f64 (.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3)))) (.f64 1/8 (/.f64 (pow.f64 U 2) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(fma.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5))) (fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 -1/128 (/.f64 (pow.f64 U 4) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))) (.f64 1/8 (/.f64 (.f64 U U) (.f64 (cos.f64 (*.f64 1/2 K)) J))))))
(fma.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5))) (fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 1/8 (.f64 (/.f64 U J) (/.f64 U (cos.f64 (.f64 1/2 K)))) (.f64 (/.f64 -1/128 (pow.f64 (cos.f64 (*.f64 1/2 K)) 3)) (/.f64 (pow.f64 U 4) (pow.f64 J 3))))))
(fma.f64 1/1024 (/.f64 (pow.f64 U 6) (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 5) (pow.f64 J 5))) (fma.f64 (cos.f64 (.f64 1/2 K)) J (fma.f64 1/8 (.f64 U (/.f64 (/.f64 U J) (cos.f64 (.f64 1/2 K)))) (.f64 (/.f64 -1/128 (pow.f64 (cos.f64 (*.f64 1/2 K)) 3)) (/.f64 (pow.f64 U 4) (pow.f64 J 3))))))
(*.f64 1/2 U)
(+.f64 (.f64 1/2 U) (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) (pow.f64 J 2)) U))
(fma.f64 1/2 U (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (/.f64 U (.f64 J J))))
(fma.f64 1/2 U (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (*.f64 J J)))
(fma.f64 1/2 U (.f64 (/.f64 J (/.f64 U J)) (pow.f64 (cos.f64 (.f64 1/2 K)) 2)))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3)))))
(+.f64 (fma.f64 1/2 U (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (/.f64 U (.f64 J J)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4)))))
(-.f64 (fma.f64 1/2 U (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J))) (.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4)))
(fma.f64 1/2 U (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (neg.f64 (pow.f64 J 4))) (pow.f64 U 3))))
(+.f64 (.f64 1/2 U) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 J 6)) (pow.f64 U 5))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 4) (pow.f64 J 4)) (pow.f64 U 3))))))
(+.f64 (fma.f64 1/2 U (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (/.f64 U (.f64 J J)))) (fma.f64 2 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (/.f64 (pow.f64 U 5) (pow.f64 J 6))) (neg.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (/.f64 (pow.f64 U 3) (pow.f64 J 4))))))
(+.f64 (-.f64 (.f64 2 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 6) (pow.f64 U 5)) (pow.f64 J 6))) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (pow.f64 U 3)) (pow.f64 J 4))) (fma.f64 1/2 U (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J))))
(+.f64 (fma.f64 1/2 U (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 4) (neg.f64 (pow.f64 J 4))) (pow.f64 U 3)))) (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 6) (/.f64 (/.f64 (pow.f64 U 5) (pow.f64 J 6)) 2)))
(*.f64 -1/2 U)
(*.f64 U -1/2)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(fma.f64 -1 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (/.f64 U (.f64 J J))) (*.f64 U -1/2))
(-.f64 (.f64 U -1/2) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) U) (.f64 J J)))
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(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) J)) (.f64 -1/24 (.f64 (pow.f64 1 1/3) J)))) (+.f64 (.f64 (pow.f64 1 1/3) J) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J)))) (+.f64 (.f64 1/288 (.f64 (pow.f64 1 1/3) J)) (.f64 (pow.f64 (.f64 1 J) 1/3) (+.f64 (.f64 1/576 (pow.f64 (.f64 1 (pow.f64 J 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 J) 1/3) (-.f64 (.f64 1/384 J) (*.f64 1/192 J)))))))))))
(+.f64 (fma.f64 (.f64 K K) (.f64 J -1/8) J) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/3 (.f64 J -1/384)) (fma.f64 1/288 J (.f64 (cbrt.f64 J) (fma.f64 1/576 (cbrt.f64 (.f64 J J)) (.f64 2/3 (.f64 (.f64 J -1/384) (cbrt.f64 (/.f64 1 J))))))))))
(fma.f64 (.f64 K K) (.f64 J -1/8) (fma.f64 (pow.f64 K 4) (fma.f64 1/3 (.f64 J -1/384) (fma.f64 J 1/288 (.f64 (cbrt.f64 J) (fma.f64 1/576 (cbrt.f64 (.f64 J J)) (.f64 2/3 (.f64 (.f64 J -1/384) (cbrt.f64 (/.f64 1 J)))))))) J))
(fma.f64 (.f64 K K) (.f64 J -1/8) (fma.f64 (pow.f64 K 4) (fma.f64 1/3 (.f64 J -1/384) (fma.f64 (cbrt.f64 J) (fma.f64 1/576 (cbrt.f64 (.f64 J J)) (.f64 (cbrt.f64 (/.f64 1 J)) (.f64 (.f64 J -1/384) 2/3))) (.f64 J 1/288))) J))
(+.f64 (.f64 (pow.f64 K 6) (+.f64 (.f64 -1/36 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J)))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/46080 J) (+.f64 (.f64 -1/13824 J) (.f64 -1/12 (-.f64 (.f64 1/384 J) (.f64 1/192 J))))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 J) 1/3) (+.f64 (.f64 -1/36 (.f64 (pow.f64 (/.f64 1 J) 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J)))) (.f64 2/3 (.f64 (-.f64 (.f64 -1/46080 J) (+.f64 (.f64 -1/13824 J) (.f64 -1/12 (-.f64 (.f64 1/384 J) (.f64 1/192 J))))) (pow.f64 (/.f64 1 J) 1/3))))) (.f64 -1/24 (.f64 (+.f64 (.f64 1/576 (pow.f64 (.f64 1 (pow.f64 J 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 J) 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J))))) (pow.f64 (.f64 1 J) 1/3))))))) (+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) J)) (.f64 -1/24 (.f64 (pow.f64 1 1/3) J)))) (+.f64 (.f64 (pow.f64 1 1/3) J) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/384 J) (.f64 1/192 J)))) (+.f64 (.f64 1/288 (.f64 (pow.f64 1 1/3) J)) (.f64 (pow.f64 (.f64 1 J) 1/3) (+.f64 (.f64 1/576 (pow.f64 (.f64 1 (pow.f64 J 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 J) 1/3) (-.f64 (.f64 1/384 J) (*.f64 1/192 J))))))))))))
(fma.f64 (pow.f64 K 6) (+.f64 (.f64 -1/36 (.f64 J -1/384)) (fma.f64 1/3 (.f64 1 (-.f64 (.f64 J -1/46080) (fma.f64 -1/13824 J (.f64 -1/12 (.f64 J -1/384))))) (fma.f64 (cbrt.f64 J) (fma.f64 -1/36 (.f64 (.f64 J -1/384) (cbrt.f64 (/.f64 1 J))) (.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 J)) (-.f64 (.f64 J -1/46080) (fma.f64 -1/13824 J (.f64 -1/12 (.f64 J -1/384))))))) (.f64 -1/24 (.f64 (cbrt.f64 J) (fma.f64 1/576 (cbrt.f64 (.f64 J J)) (.f64 2/3 (.f64 (.f64 J -1/384) (cbrt.f64 (/.f64 1 J)))))))))) (+.f64 (fma.f64 (.f64 K K) (.f64 J -1/8) J) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/3 (.f64 J -1/384)) (fma.f64 1/288 J (.f64 (cbrt.f64 J) (fma.f64 1/576 (cbrt.f64 (.f64 J J)) (.f64 2/3 (.f64 (*.f64 J -1/384) (cbrt.f64 (/.f64 1 J)))))))))))
(fma.f64 (pow.f64 K 6) (fma.f64 (.f64 J -1/384) -1/36 (fma.f64 1/3 (-.f64 (.f64 J 7/138240) (.f64 J 1/4608)) (.f64 (cbrt.f64 J) (+.f64 (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 J)) (-.f64 (.f64 J 7/138240) (.f64 J 1/4608))) (.f64 (.f64 J -1/384) (.f64 (cbrt.f64 (/.f64 1 J)) -1/36))) (.f64 -1/24 (fma.f64 1/576 (cbrt.f64 (.f64 J J)) (.f64 2/3 (.f64 (.f64 J -1/384) (cbrt.f64 (/.f64 1 J)))))))))) (fma.f64 (.f64 K K) (.f64 J -1/8) (fma.f64 (pow.f64 K 4) (fma.f64 1/3 (.f64 J -1/384) (fma.f64 J 1/288 (.f64 (cbrt.f64 J) (fma.f64 1/576 (cbrt.f64 (.f64 J J)) (.f64 2/3 (.f64 (*.f64 J -1/384) (cbrt.f64 (/.f64 1 J)))))))) J)))
(fma.f64 (pow.f64 K 6) (fma.f64 (.f64 J -1/384) -1/36 (fma.f64 1/3 (.f64 J -23/138240) (.f64 (cbrt.f64 J) (+.f64 (.f64 -1/24 (fma.f64 1/576 (cbrt.f64 (.f64 J J)) (.f64 (cbrt.f64 (/.f64 1 J)) (.f64 (.f64 J -1/384) 2/3)))) (.f64 (cbrt.f64 (/.f64 1 J)) (+.f64 (.f64 (.f64 J -1/384) -1/36) (.f64 2/3 (.f64 J -23/138240)))))))) (fma.f64 (.f64 K K) (.f64 J -1/8) (fma.f64 (pow.f64 K 4) (fma.f64 1/3 (.f64 J -1/384) (fma.f64 (cbrt.f64 J) (fma.f64 1/576 (cbrt.f64 (.f64 J J)) (.f64 (cbrt.f64 (/.f64 1 J)) (.f64 (.f64 J -1/384) 2/3))) (*.f64 J 1/288))) J)))
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) (pow.f64 1 1/3))
(.f64 (cos.f64 (.f64 1/2 K)) J)

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(.f64 -2 (.f64 1/2 U))
✓	0.0b	(.f64 -2 (.f64 1/2 U))

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite31.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

440×	`pow1_binary64`
436×	`add-sqr-sqrt_binary64`
424×	`*-un-lft-identity_binary64`
412×	`add-log-exp_binary64`
411×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	124	1
2	1368	1

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

Inputs
(.f64 -2 (.f64 1/2 U))

Outputs

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

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64`
2×	`+-commutative_binary64`
2×	`fma-def_binary64`
1×	`*-commutative_binary64`
1×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	36
1	6	36
2	8	36
3	9	36
4	11	36
5	15	36
6	19	36
7	24	36

Stop Event

1×

saturated

Counts

24 → 13

Calls

Call 1

Inputs
(*.f64 -1 U)
(*.f64 -1 U)
(*.f64 -1 U)
(*.f64 -1 U)
(*.f64 -1 U)
(*.f64 -1 U)
(*.f64 -1 U)
(*.f64 -1 U)
(*.f64 -1 U)
(*.f64 -1 U)
(*.f64 -1 U)
(*.f64 -1 U)

Outputs
(*.f64 -1 U)
(neg.f64 U)
(*.f64 -1 U)
(neg.f64 U)
(*.f64 -1 U)
(neg.f64 U)
(*.f64 -1 U)
(neg.f64 U)
(*.f64 -1 U)
(neg.f64 U)
(*.f64 -1 U)
(neg.f64 U)
(*.f64 -1 U)
(neg.f64 U)
(*.f64 -1 U)
(neg.f64 U)
(*.f64 -1 U)
(neg.f64 U)
(*.f64 -1 U)
(neg.f64 U)
(*.f64 -1 U)
(neg.f64 U)
(*.f64 -1 U)
(neg.f64 U)

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K)))))
	0.2b	(*.f64 (/.f64 J U) J)
	0.1b	(.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K))))))
	0.0b	(-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (.f64 1/2 K)))))))
✓	0.0b	(-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (.f64 1/2 K)))))))
✓	0.1b	(.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K))))))
✓	0.2b	(*.f64 (/.f64 J U) J)
	0.6b	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K)))))

series10.0ms (0%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	J	@	-inf	(.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K))))))
1.0ms	J	@	inf	(-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (.f64 1/2 K)))))))
0.0ms	J	@	inf	(.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K))))))
0.0ms	U	@	inf	(.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K))))))
0.0ms	J	@	inf	(*.f64 (/.f64 J U) J)

rewrite115.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`fma-def_binary64`
333×	`fma-neg_binary64`
326×	`expm1-udef_binary64`
326×	`log1p-udef_binary64`
262×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	49
1	395	45
2	5263	45

Stop Event

1×	node limit

Counts

3 → 259

Calls

Call 1

Inputs

(*.f64 (/.f64 J U) J)

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (cos.f64 K) (*.f64 J (/.f64 J U)))) (*.f64 (*.f64 1/2 J) (/.f64 J U)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 J) (/.f64 J U)) (*.f64 1/2 (*.f64 (cos.f64 K) (*.f64 J (/.f64 J U)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 1/2 J) (/.f64 J U)) 1) (*.f64 (*.f64 1/2 (*.f64 (cos.f64 K) (*.f64 J (/.f64 J U)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 J U) (*.f64 J (fma.f64 1/2 (cos.f64 K) 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 J (fma.f64 1/2 (cos.f64 K) 1/2)) (/.f64 U J))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 J J) (fma.f64 1/8 (pow.f64 (cos.f64 K) 3) 1/8)) (*.f64 U (fma.f64 (*.f64 1/2 (cos.f64 K)) (fma.f64 1/2 (cos.f64 K) -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 J J) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 K) 2)))) (*.f64 U (+.f64 1/2 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simplify78.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

629×	`fma-def_binary64`
605×	`associate-/l*_binary64`
553×	`cancel-sign-sub-inv_binary64`
514×	`fma-neg_binary64`
377×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	1718
1	170	1594
2	496	1590
3	1943	1569
4	6137	1509

Stop Event

1×	node limit

Counts

355 → 286

Calls

Call 1

Inputs
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (pow.f64 J 2) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (pow.f64 J 2) U)
(+.f64 (/.f64 (pow.f64 J 2) U) (.f64 -1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U)))
(+.f64 (/.f64 (pow.f64 J 2) U) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 K 4) (pow.f64 J 2)) U)) (.f64 -1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U))))
(+.f64 (.f64 -1/1440 (/.f64 (.f64 (pow.f64 K 6) (pow.f64 J 2)) U)) (+.f64 (/.f64 (pow.f64 J 2) U) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 K 4) (pow.f64 J 2)) U)) (.f64 -1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U)))))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(.f64 -1 (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(*.f64 -1/2 U)
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(*.f64 -1/2 U)
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)) (.f64 -1/2 U))
(*.f64 -1/2 U)
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 K) U)) (.f64 1/2 (/.f64 1 U))) (pow.f64 J 2))) (*.f64 -1/2 U))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 K) U)) (.f64 1/2 (/.f64 1 U))) (pow.f64 J 2))) (*.f64 -1/2 U))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 K) U)) (.f64 1/2 (/.f64 1 U))) (pow.f64 J 2))) (*.f64 -1/2 U))
(.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 K) U)) (.f64 1/2 (/.f64 1 U))) (pow.f64 J 2)))
(+.f64 (.f64 -1/2 U) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 K) U)) (*.f64 1/2 (/.f64 1 U))) (pow.f64 J 2))))
(+.f64 (.f64 -1/2 U) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 K) U)) (*.f64 1/2 (/.f64 1 U))) (pow.f64 J 2))))
(+.f64 (.f64 -1/2 U) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 K) U)) (*.f64 1/2 (/.f64 1 U))) (pow.f64 J 2))))
(.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 K) U)) (.f64 1/2 (/.f64 1 U))) (pow.f64 J 2)))
(+.f64 (.f64 -1/2 U) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 K) U)) (*.f64 1/2 (/.f64 1 U))) (pow.f64 J 2))))
(+.f64 (.f64 -1/2 U) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 K) U)) (*.f64 1/2 (/.f64 1 U))) (pow.f64 J 2))))
(+.f64 (.f64 -1/2 U) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 K) U)) (*.f64 1/2 (/.f64 1 U))) (pow.f64 J 2))))
(-.f64 (*.f64 -1/2 U) (/.f64 (pow.f64 J 2) U))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U)) (*.f64 -1/2 U)) (/.f64 (pow.f64 J 2) U))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U)) (+.f64 (.f64 -1/2 U) (.f64 -1/48 (/.f64 (*.f64 (pow.f64 K 4) (pow.f64 J 2)) U)))) (/.f64 (pow.f64 J 2) U))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U)) (+.f64 (.f64 1/1440 (/.f64 (.f64 (pow.f64 K 6) (pow.f64 J 2)) U)) (+.f64 (.f64 -1/2 U) (.f64 -1/48 (/.f64 (*.f64 (pow.f64 K 4) (pow.f64 J 2)) U))))) (/.f64 (pow.f64 J 2) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))

Outputs
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
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(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
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(.f64 J (.f64 J (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
(.f64 (.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U))
(.f64 J (.f64 J (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
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(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
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(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
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(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
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(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
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(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
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(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
(.f64 (.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U))
(.f64 J (.f64 J (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
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(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
(.f64 (.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U))
(.f64 J (.f64 J (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
(.f64 (.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U))
(.f64 J (.f64 J (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
(.f64 (.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U))
(.f64 J (.f64 J (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
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(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
(.f64 (.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U))
(.f64 J (.f64 J (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
(.f64 (.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U))
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(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
(.f64 (.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U))
(.f64 J (.f64 J (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
(.f64 (.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U))
(.f64 J (.f64 J (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
(.f64 (.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U))
(.f64 J (.f64 J (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
(.f64 (.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U))
(.f64 J (.f64 J (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
(.f64 (.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U))
(.f64 J (.f64 J (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
(.f64 (.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U))
(.f64 J (.f64 J (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
(.f64 (.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U))
(.f64 J (.f64 J (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
(.f64 (.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U))
(.f64 J (.f64 J (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U)
(/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (.f64 J J)))
(/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (*.f64 J J)))
(.f64 (.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U))
(.f64 J (.f64 J (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(/.f64 (pow.f64 J 2) U)
(/.f64 (*.f64 J J) U)
(/.f64 J (/.f64 U J))
(+.f64 (/.f64 (pow.f64 J 2) U) (.f64 -1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U)))
(+.f64 (/.f64 (.f64 J J) U) (.f64 -1/4 (/.f64 (.f64 K K) (/.f64 U (.f64 J J)))))
(fma.f64 -1/4 (.f64 (/.f64 (.f64 K K) U) (.f64 J J)) (/.f64 (.f64 J J) U))
(fma.f64 -1/4 (.f64 (/.f64 J (/.f64 U J)) (.f64 K K)) (/.f64 J (/.f64 U J)))
(.f64 J (+.f64 (/.f64 J U) (/.f64 K (/.f64 (/.f64 U J) (.f64 K -1/4)))))
(+.f64 (/.f64 (pow.f64 J 2) U) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 K 4) (pow.f64 J 2)) U)) (.f64 -1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U))))
(+.f64 (/.f64 (.f64 J J) U) (fma.f64 1/48 (/.f64 (.f64 (.f64 J J) (pow.f64 K 4)) U) (.f64 -1/4 (/.f64 (.f64 K K) (/.f64 U (.f64 J J))))))
(+.f64 (.f64 1/48 (.f64 (/.f64 (pow.f64 K 4) U) (.f64 J J))) (fma.f64 -1/4 (.f64 (/.f64 (.f64 K K) U) (.f64 J J)) (/.f64 (*.f64 J J) U)))
(fma.f64 -1/4 (.f64 (/.f64 J (/.f64 U J)) (.f64 K K)) (fma.f64 1/48 (.f64 (.f64 J J) (/.f64 (pow.f64 K 4) U)) (/.f64 J (/.f64 U J))))
(fma.f64 (/.f64 J U) J (.f64 (.f64 J J) (+.f64 (.f64 -1/4 (/.f64 (.f64 K K) U)) (*.f64 1/48 (/.f64 (pow.f64 K 4) U)))))
(fma.f64 (/.f64 J U) J (.f64 (.f64 K (.f64 J (.f64 J K))) (+.f64 (/.f64 -1/4 U) (/.f64 1/48 (/.f64 U (*.f64 K K))))))
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(-.f64 (.f64 U -1/2) (.f64 (*.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(fma.f64 (/.f64 (+.f64 -1/2 (.f64 (cos.f64 K) -1/2)) U) (.f64 J J) (*.f64 U -1/2))
(fma.f64 (.f64 J J) (/.f64 (fma.f64 (cos.f64 K) -1/2 -1/2) U) (.f64 U -1/2))
(+.f64 (.f64 -1/2 U) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (cos.f64 K) U)) (*.f64 1/2 (/.f64 1 U))) (pow.f64 J 2))))
(-.f64 (.f64 U -1/2) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (*.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(fma.f64 (/.f64 (+.f64 -1/2 (.f64 (cos.f64 K) -1/2)) U) (.f64 J J) (*.f64 U -1/2))
(fma.f64 (.f64 J J) (/.f64 (fma.f64 (cos.f64 K) -1/2 -1/2) U) (.f64 U -1/2))
(-.f64 (*.f64 -1/2 U) (/.f64 (pow.f64 J 2) U))
(-.f64 (.f64 U -1/2) (/.f64 (.f64 J J) U))
(fma.f64 U -1/2 (neg.f64 (/.f64 (*.f64 J J) U)))
(-.f64 (*.f64 U -1/2) (/.f64 J (/.f64 U J)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U)) (*.f64 -1/2 U)) (/.f64 (pow.f64 J 2) U))
(-.f64 (fma.f64 1/4 (/.f64 (.f64 K K) (/.f64 U (.f64 J J))) (.f64 U -1/2)) (/.f64 (.f64 J J) U))
(fma.f64 (.f64 (/.f64 (.f64 K K) U) (.f64 J J)) 1/4 (fma.f64 U -1/2 (neg.f64 (/.f64 (.f64 J J) U))))
(-.f64 (fma.f64 (.f64 (/.f64 J (/.f64 U J)) (.f64 K K)) 1/4 (*.f64 U -1/2)) (/.f64 J (/.f64 U J)))
(fma.f64 U -1/2 (.f64 J (-.f64 (/.f64 K (/.f64 (/.f64 U J) (.f64 K 1/4))) (/.f64 J U))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U)) (+.f64 (.f64 -1/2 U) (.f64 -1/48 (/.f64 (*.f64 (pow.f64 K 4) (pow.f64 J 2)) U)))) (/.f64 (pow.f64 J 2) U))
(-.f64 (fma.f64 1/4 (/.f64 (.f64 K K) (/.f64 U (.f64 J J))) (fma.f64 -1/2 U (.f64 (/.f64 (.f64 (.f64 J J) (pow.f64 K 4)) U) -1/48))) (/.f64 (.f64 J J) U))
(-.f64 (fma.f64 (.f64 (/.f64 (.f64 K K) U) (.f64 J J)) 1/4 (fma.f64 (.f64 (/.f64 (pow.f64 K 4) U) (.f64 J J)) -1/48 (.f64 U -1/2))) (/.f64 (*.f64 J J) U))
(-.f64 (fma.f64 U -1/2 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 K 4) U)) -1/48 (.f64 (.f64 (/.f64 J (/.f64 U J)) (*.f64 K K)) 1/4))) (/.f64 J (/.f64 U J)))
(-.f64 (fma.f64 U -1/2 (.f64 (.f64 J J) (+.f64 (.f64 1/4 (/.f64 (.f64 K K) U)) (/.f64 (pow.f64 K 4) (/.f64 U -1/48))))) (/.f64 J (/.f64 U J)))
(-.f64 (.f64 U -1/2) (fma.f64 (/.f64 J U) J (.f64 (.f64 K (.f64 J (.f64 J K))) (+.f64 (/.f64 -1/4 U) (/.f64 1/48 (/.f64 U (.f64 K K)))))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 J 2)) U)) (+.f64 (.f64 1/1440 (/.f64 (.f64 (pow.f64 K 6) (pow.f64 J 2)) U)) (+.f64 (.f64 -1/2 U) (.f64 -1/48 (/.f64 (*.f64 (pow.f64 K 4) (pow.f64 J 2)) U))))) (/.f64 (pow.f64 J 2) U))
(-.f64 (fma.f64 1/4 (/.f64 (.f64 K K) (/.f64 U (.f64 J J))) (fma.f64 1/1440 (/.f64 (pow.f64 K 6) (/.f64 U (.f64 J J))) (fma.f64 -1/2 U (.f64 (/.f64 (.f64 (.f64 J J) (pow.f64 K 4)) U) -1/48)))) (/.f64 (*.f64 J J) U))
(-.f64 (fma.f64 (.f64 (/.f64 (.f64 K K) U) (.f64 J J)) 1/4 (fma.f64 (/.f64 (pow.f64 K 6) (/.f64 U (.f64 J J))) 1/1440 (fma.f64 (.f64 (/.f64 (pow.f64 K 4) U) (.f64 J J)) -1/48 (.f64 U -1/2)))) (/.f64 (.f64 J J) U))
(-.f64 (fma.f64 (.f64 (/.f64 J (/.f64 U J)) (.f64 K K)) 1/4 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 K 4) U)) -1/48 (fma.f64 U -1/2 (.f64 (/.f64 1/1440 U) (.f64 J (*.f64 J (pow.f64 K 6))))))) (/.f64 J (/.f64 U J)))
(-.f64 (fma.f64 U -1/2 (.f64 (.f64 J J) (+.f64 (.f64 1/1440 (/.f64 (pow.f64 K 6) U)) (/.f64 (pow.f64 K 4) (/.f64 U -1/48))))) (.f64 J (+.f64 (/.f64 J U) (/.f64 K (/.f64 (/.f64 U J) (*.f64 K -1/4))))))
(fma.f64 U -1/2 (fma.f64 J (.f64 J (+.f64 (/.f64 (pow.f64 K 4) (/.f64 U -1/48)) (.f64 1/1440 (/.f64 (pow.f64 K 6) U)))) (.f64 J (-.f64 (/.f64 K (/.f64 (/.f64 U J) (.f64 K 1/4))) (/.f64 J U)))))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (*.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(fma.f64 (/.f64 (+.f64 -1/2 (.f64 (cos.f64 K) -1/2)) U) (.f64 J J) (*.f64 U -1/2))
(fma.f64 (.f64 J J) (/.f64 (fma.f64 (cos.f64 K) -1/2 -1/2) U) (.f64 U -1/2))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (*.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(fma.f64 (/.f64 (+.f64 -1/2 (.f64 (cos.f64 K) -1/2)) U) (.f64 J J) (*.f64 U -1/2))
(fma.f64 (.f64 J J) (/.f64 (fma.f64 (cos.f64 K) -1/2 -1/2) U) (.f64 U -1/2))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (*.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(fma.f64 (/.f64 (+.f64 -1/2 (.f64 (cos.f64 K) -1/2)) U) (.f64 J J) (*.f64 U -1/2))
(fma.f64 (.f64 J J) (/.f64 (fma.f64 (cos.f64 K) -1/2 -1/2) U) (.f64 U -1/2))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (*.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(fma.f64 (/.f64 (+.f64 -1/2 (.f64 (cos.f64 K) -1/2)) U) (.f64 J J) (*.f64 U -1/2))
(fma.f64 (.f64 J J) (/.f64 (fma.f64 (cos.f64 K) -1/2 -1/2) U) (.f64 U -1/2))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (*.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(fma.f64 (/.f64 (+.f64 -1/2 (.f64 (cos.f64 K) -1/2)) U) (.f64 J J) (*.f64 U -1/2))
(fma.f64 (.f64 J J) (/.f64 (fma.f64 (cos.f64 K) -1/2 -1/2) U) (.f64 U -1/2))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (*.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(fma.f64 (/.f64 (+.f64 -1/2 (.f64 (cos.f64 K) -1/2)) U) (.f64 J J) (*.f64 U -1/2))
(fma.f64 (.f64 J J) (/.f64 (fma.f64 (cos.f64 K) -1/2 -1/2) U) (.f64 U -1/2))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (*.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(fma.f64 (/.f64 (+.f64 -1/2 (.f64 (cos.f64 K) -1/2)) U) (.f64 J J) (*.f64 U -1/2))
(fma.f64 (.f64 J J) (/.f64 (fma.f64 (cos.f64 K) -1/2 -1/2) U) (.f64 U -1/2))
(-.f64 (.f64 -1/2 U) (/.f64 (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 K))) (pow.f64 J 2)) U))
(-.f64 (.f64 U -1/2) (/.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 K))) (/.f64 U (*.f64 J J))))
(-.f64 (.f64 U -1/2) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) (/.f64 U (.f64 J J))))
(-.f64 (.f64 U -1/2) (.f64 (*.f64 J J) (/.f64 (fma.f64 1/2 (cos.f64 K) 1/2) U)))
(fma.f64 (/.f64 (+.f64 -1/2 (.f64 (cos.f64 K) -1/2)) U) (.f64 J J) (*.f64 U -1/2))
(fma.f64 (.f64 J J) (/.f64 (fma.f64 (cos.f64 K) -1/2 -1/2) U) (.f64 U -1/2))

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

New	Error	Program
	40.3b	(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 3))
	0.1b	(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 3)
	0.1b	(.f64 (cos.f64 (.f64 1/2 K)) J)
	0.1b	(.f64 (cos.f64 (.f64 1/2 K)) J)
✓	0.1b	(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 3)
✓	40.3b	(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 3))

series10.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	J	@	-inf	(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 3)
2.0ms	J	@	-inf	(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 3))
1.0ms	K	@	0	(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 3)
1.0ms	K	@	inf	(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 3)
1.0ms	K	@	-inf	(pow.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) 3)

rewrite48.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`pow1_binary64`
757×	`add-log-exp_binary64`
756×	`log1p-expm1-u_binary64`
756×	`expm1-log1p-u_binary64`
738×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	209	21
2	2145	21

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

705×	`distribute-rgt-out_binary64`
654×	`fma-def_binary64`
629×	`distribute-rgt-in_binary64`
622×	`distribute-lft-in_binary64`
475×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	718
1	225	704
2	826	676
3	4387	669
4	7921	669

Stop Event

1×	node limit

Counts

102 → 72

Calls

Call 1

Inputs
J
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J))
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) J)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (cbrt.f64 -1) J)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (cbrt.f64 -1) J)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (cbrt.f64 -1) J)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (cbrt.f64 -1) J)))
(pow.f64 J 3)
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/4 (pow.f64 J 3)) (*.f64 -1/8 (pow.f64 J 3)))) (pow.f64 J 3))
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/4 (pow.f64 J 3)) (.f64 -1/8 (pow.f64 J 3)))) (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 (+.f64 (.f64 1/64 (pow.f64 J 2)) (.f64 1/192 (pow.f64 J 2))) J) (+.f64 (.f64 1/384 (pow.f64 J 3)) (*.f64 1/32 (pow.f64 J 3))))) (pow.f64 J 3)))
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/4 (pow.f64 J 3)) (.f64 -1/8 (pow.f64 J 3)))) (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 (+.f64 (.f64 1/64 (pow.f64 J 2)) (.f64 1/192 (pow.f64 J 2))) J) (+.f64 (.f64 1/384 (pow.f64 J 3)) (.f64 1/32 (pow.f64 J 3))))) (+.f64 (pow.f64 J 3) (.f64 (pow.f64 K 6) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 1/64 (pow.f64 J 2)) (.f64 1/192 (pow.f64 J 2))) J)) (+.f64 (.f64 -1/1536 (pow.f64 J 3)) (+.f64 (.f64 J (+.f64 (.f64 -1/1536 (pow.f64 J 2)) (.f64 -1/23040 (pow.f64 J 2)))) (*.f64 -1/46080 (pow.f64 J 3)))))))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))

Outputs
J
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)
(fma.f64 -1/8 (.f64 J (.f64 K K)) J)
(.f64 J (fma.f64 (.f64 -1/8 K) K 1))
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J))
(fma.f64 1/384 (.f64 J (pow.f64 K 4)) (fma.f64 -1/8 (.f64 J (*.f64 K K)) J))
(fma.f64 J (fma.f64 1/384 (pow.f64 K 4) (.f64 -1/8 (.f64 K K))) J)
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) J)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)))
(fma.f64 1/384 (.f64 J (pow.f64 K 4)) (fma.f64 -1/46080 (.f64 J (pow.f64 K 6)) (fma.f64 -1/8 (.f64 J (.f64 K K)) J)))
(fma.f64 J (.f64 -1/46080 (pow.f64 K 6)) (fma.f64 J (fma.f64 1/384 (pow.f64 K 4) (.f64 -1/8 (*.f64 K K))) J))
(.f64 J (+.f64 (fma.f64 (.f64 -1/8 K) K 1) (fma.f64 1/384 (pow.f64 K 4) (*.f64 -1/46080 (pow.f64 K 6)))))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 J (cos.f64 (.f64 K 1/2)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (cbrt.f64 -1) J)))
(neg.f64 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J (cbrt.f64 -1))))
(.f64 (cos.f64 (.f64 K 1/2)) (neg.f64 (*.f64 J (cbrt.f64 -1))))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 (cbrt.f64 -1) (neg.f64 J)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (cbrt.f64 -1) J)))
(neg.f64 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J (cbrt.f64 -1))))
(.f64 (cos.f64 (.f64 K 1/2)) (neg.f64 (*.f64 J (cbrt.f64 -1))))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 (cbrt.f64 -1) (neg.f64 J)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (cbrt.f64 -1) J)))
(neg.f64 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J (cbrt.f64 -1))))
(.f64 (cos.f64 (.f64 K 1/2)) (neg.f64 (*.f64 J (cbrt.f64 -1))))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 (cbrt.f64 -1) (neg.f64 J)))
(.f64 -1 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 (cbrt.f64 -1) J)))
(neg.f64 (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J (cbrt.f64 -1))))
(.f64 (cos.f64 (.f64 K 1/2)) (neg.f64 (*.f64 J (cbrt.f64 -1))))
(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 (cbrt.f64 -1) (neg.f64 J)))
(pow.f64 J 3)
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/4 (pow.f64 J 3)) (*.f64 -1/8 (pow.f64 J 3)))) (pow.f64 J 3))
(fma.f64 (.f64 K K) (.f64 (pow.f64 J 3) -3/8) (pow.f64 J 3))
(fma.f64 K (.f64 (pow.f64 J 3) (.f64 -3/8 K)) (pow.f64 J 3))
(.f64 (+.f64 (.f64 (*.f64 K K) -3/8) 1) (pow.f64 J 3))
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/4 (pow.f64 J 3)) (.f64 -1/8 (pow.f64 J 3)))) (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 (+.f64 (.f64 1/64 (pow.f64 J 2)) (.f64 1/192 (pow.f64 J 2))) J) (+.f64 (.f64 1/384 (pow.f64 J 3)) (*.f64 1/32 (pow.f64 J 3))))) (pow.f64 J 3)))
(fma.f64 (.f64 K K) (.f64 (pow.f64 J 3) -3/8) (fma.f64 (pow.f64 K 4) (fma.f64 (.f64 (.f64 J J) 1/48) J (*.f64 (pow.f64 J 3) 13/384)) (pow.f64 J 3)))
(fma.f64 (.f64 K K) (.f64 (pow.f64 J 3) -3/8) (fma.f64 (pow.f64 K 4) (fma.f64 (pow.f64 J 3) 13/384 (*.f64 (pow.f64 J 3) 1/48)) (pow.f64 J 3)))
(fma.f64 K (.f64 (pow.f64 J 3) (.f64 -3/8 K)) (fma.f64 (pow.f64 K 4) (*.f64 (pow.f64 J 3) 7/128) (pow.f64 J 3)))
(fma.f64 (pow.f64 K 4) (.f64 (pow.f64 J 3) 7/128) (.f64 (+.f64 (.f64 (.f64 K K) -3/8) 1) (pow.f64 J 3)))
(+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/4 (pow.f64 J 3)) (.f64 -1/8 (pow.f64 J 3)))) (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 (+.f64 (.f64 1/64 (pow.f64 J 2)) (.f64 1/192 (pow.f64 J 2))) J) (+.f64 (.f64 1/384 (pow.f64 J 3)) (.f64 1/32 (pow.f64 J 3))))) (+.f64 (pow.f64 J 3) (.f64 (pow.f64 K 6) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 1/64 (pow.f64 J 2)) (.f64 1/192 (pow.f64 J 2))) J)) (+.f64 (.f64 -1/1536 (pow.f64 J 3)) (+.f64 (.f64 J (+.f64 (.f64 -1/1536 (pow.f64 J 2)) (.f64 -1/23040 (pow.f64 J 2)))) (*.f64 -1/46080 (pow.f64 J 3)))))))))
(fma.f64 (.f64 K K) (.f64 (pow.f64 J 3) -3/8) (+.f64 (fma.f64 (pow.f64 K 4) (fma.f64 (.f64 (.f64 J J) 1/48) J (.f64 (pow.f64 J 3) 13/384)) (pow.f64 J 3)) (.f64 (pow.f64 K 6) (fma.f64 -1/8 (.f64 J (.f64 (.f64 J J) 1/48)) (fma.f64 -1/1536 (pow.f64 J 3) (fma.f64 J (.f64 (.f64 J J) -1/1440) (.f64 -1/46080 (pow.f64 J 3))))))))
(fma.f64 (.f64 K K) (.f64 (pow.f64 J 3) -3/8) (fma.f64 (pow.f64 K 4) (fma.f64 (pow.f64 J 3) 13/384 (.f64 (pow.f64 J 3) 1/48)) (fma.f64 (pow.f64 K 6) (fma.f64 -1/8 (.f64 (pow.f64 J 3) 1/48) (fma.f64 (pow.f64 J 3) -1/1536 (fma.f64 -1/46080 (pow.f64 J 3) (*.f64 (pow.f64 J 3) -1/1440)))) (pow.f64 J 3))))
(fma.f64 K (.f64 (pow.f64 J 3) (.f64 -3/8 K)) (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 J 3) 7/128) (fma.f64 (pow.f64 K 6) (+.f64 (.f64 (pow.f64 J 3) -1/384) (fma.f64 -1/46080 (pow.f64 J 3) (*.f64 (pow.f64 J 3) -31/23040))) (pow.f64 J 3))))
(fma.f64 K (.f64 (pow.f64 J 3) (.f64 -3/8 K)) (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 J 3) 7/128) (fma.f64 (pow.f64 K 6) (+.f64 (.f64 (pow.f64 J 3) -31/23040) (.f64 J (.f64 (*.f64 J J) -121/46080))) (pow.f64 J 3))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 3) (pow.f64 J 3))
(.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3))

localize10.0ms (0%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(cbrt.f64 (cos.f64 (*.f64 1/2 K)))
	0.2b	(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 K))) 2)
	0.2b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) 2) (.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) J))
	0.1b	(.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) J)
✓	0.1b	(.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) J)
✓	0.2b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) 2) (.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) J))
✓	0.2b	(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 K))) 2)
✓	0.3b	(cbrt.f64 (cos.f64 (*.f64 1/2 K)))

series12.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

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

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`pow1_binary64`
864×	`add-log-exp_binary64`
864×	`log1p-expm1-u_binary64`
864×	`expm1-log1p-u_binary64`
845×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	222	39
2	2437	39

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

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

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

simplify151.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1956×	`fma-def_binary64`
738×	`sqr-pow_binary64`
418×	`cube-prod_binary64`
414×	`*-commutative_binary64`
354×	`pow-sqr_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	64	784
1	167	779
2	448	759
3	1396	756
4	2085	756
5	2802	756
6	2955	756
7	3145	756
8	3362	754
9	5243	754
10	5638	754
11	6116	754
12	6684	754
13	7365	754
14	7700	754

Stop Event

1×	node limit

Counts

135 → 96

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/24 (pow.f64 K 2)))
(+.f64 1 (+.f64 (.f64 -1/24 (pow.f64 K 2)) (.f64 -1/1152 (pow.f64 K 4))))
(+.f64 (.f64 -23/414720 (pow.f64 K 6)) (+.f64 1 (+.f64 (.f64 -1/24 (pow.f64 K 2)) (*.f64 -1/1152 (pow.f64 K 4)))))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
1
(+.f64 1 (*.f64 -1/12 (pow.f64 K 2)))
(+.f64 1 (+.f64 (.f64 -1/12 (pow.f64 K 2)) (.f64 -1/25920 (pow.f64 K 6))))
(+.f64 1 (+.f64 (.f64 -1/435456 (pow.f64 K 8)) (+.f64 (.f64 -1/12 (pow.f64 K 2)) (*.f64 -1/25920 (pow.f64 K 6)))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
J
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J))
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) J)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)))
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
J
(+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) J)) J)
(+.f64 (.f64 -1/1152 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) J)) J))
(+.f64 (.f64 -1/1152 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -23/414720 (.f64 (pow.f64 K 6) J)) (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) J)) J)))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)

Outputs
1
(+.f64 1 (*.f64 -1/24 (pow.f64 K 2)))
(+.f64 1 (.f64 -1/24 (.f64 K K)))
(fma.f64 -1/24 (*.f64 K K) 1)
(+.f64 1 (+.f64 (.f64 -1/24 (pow.f64 K 2)) (.f64 -1/1152 (pow.f64 K 4))))
(+.f64 1 (fma.f64 -1/24 (.f64 K K) (.f64 -1/1152 (pow.f64 K 4))))
(+.f64 (fma.f64 -1/24 (.f64 K K) 1) (.f64 -1/1152 (pow.f64 K 4)))
(fma.f64 -1/24 (*.f64 K K) (fma.f64 -1/1152 (pow.f64 K 4) 1))
(+.f64 (.f64 -23/414720 (pow.f64 K 6)) (+.f64 1 (+.f64 (.f64 -1/24 (pow.f64 K 2)) (*.f64 -1/1152 (pow.f64 K 4)))))
(fma.f64 -23/414720 (pow.f64 K 6) (+.f64 1 (fma.f64 -1/24 (.f64 K K) (.f64 -1/1152 (pow.f64 K 4)))))
(+.f64 (fma.f64 -1/24 (.f64 K K) (.f64 -1/1152 (pow.f64 K 4))) (fma.f64 -23/414720 (pow.f64 K 6) 1))
(fma.f64 -23/414720 (pow.f64 K 6) (fma.f64 -1/24 (*.f64 K K) (fma.f64 -1/1152 (pow.f64 K 4) 1)))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) -1/1152 -1/24) (fma.f64 -23/414720 (pow.f64 K 6) 1))
(fma.f64 -1/24 (*.f64 K K) (fma.f64 -1/1152 (pow.f64 K 4) (fma.f64 -23/414720 (pow.f64 K 6) 1)))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 K 1/2)))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 K 1/2)))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 K 1/2)))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 K 1/2)))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 K 1/2)))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 K 1/2)))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 K 1/2)))
(pow.f64 (cos.f64 (*.f64 1/2 K)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 K 1/2)))
1
(+.f64 1 (*.f64 -1/12 (pow.f64 K 2)))
(+.f64 1 (.f64 (.f64 K K) -1/12))
(fma.f64 (*.f64 K K) -1/12 1)
(fma.f64 K (*.f64 K -1/12) 1)
(+.f64 1 (+.f64 (.f64 -1/12 (pow.f64 K 2)) (.f64 -1/25920 (pow.f64 K 6))))
(+.f64 1 (fma.f64 -1/12 (.f64 K K) (.f64 (pow.f64 K 6) -1/25920)))
(+.f64 1 (fma.f64 (pow.f64 K 6) -1/25920 (.f64 (.f64 K K) -1/12)))
(fma.f64 (pow.f64 K 6) -1/25920 (fma.f64 (*.f64 K K) -1/12 1))
(fma.f64 (*.f64 K K) -1/12 (fma.f64 (pow.f64 K 6) -1/25920 1))
(fma.f64 K (*.f64 K -1/12) (fma.f64 (pow.f64 K 6) -1/25920 1))
(+.f64 1 (+.f64 (.f64 -1/435456 (pow.f64 K 8)) (+.f64 (.f64 -1/12 (pow.f64 K 2)) (*.f64 -1/25920 (pow.f64 K 6)))))
(+.f64 1 (fma.f64 -1/435456 (pow.f64 K 8) (fma.f64 -1/12 (.f64 K K) (.f64 (pow.f64 K 6) -1/25920))))
(+.f64 1 (fma.f64 -1/435456 (pow.f64 K 8) (fma.f64 (pow.f64 K 6) -1/25920 (.f64 (.f64 K K) -1/12))))
(fma.f64 -1/435456 (pow.f64 K 8) (fma.f64 (pow.f64 K 6) -1/25920 (fma.f64 (*.f64 K K) -1/12 1)))
(fma.f64 -1/435456 (pow.f64 K 8) (fma.f64 (*.f64 K K) -1/12 (fma.f64 (pow.f64 K 6) -1/25920 1)))
(fma.f64 K (*.f64 K -1/12) (fma.f64 (pow.f64 K 6) -1/25920 (fma.f64 -1/435456 (pow.f64 K 8) 1)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 2))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 2))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 2))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 2))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 2))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 2))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 2))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 K 1/2)) 2))
J
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)
(fma.f64 -1/8 (.f64 (.f64 K K) J) J)
(fma.f64 -1/8 (.f64 K (.f64 K J)) J)
(fma.f64 (.f64 K K) (.f64 J -1/8) J)
(fma.f64 K (.f64 J (.f64 K -1/8)) J)
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J))
(fma.f64 1/384 (.f64 (pow.f64 K 4) J) (fma.f64 -1/8 (.f64 (*.f64 K K) J) J))
(fma.f64 1/384 (.f64 (pow.f64 K 4) J) (fma.f64 -1/8 (.f64 K (*.f64 K J)) J))
(fma.f64 J (fma.f64 (pow.f64 K 4) 1/384 (.f64 K (.f64 K -1/8))) J)
(.f64 J (fma.f64 K (.f64 K -1/8) (fma.f64 (pow.f64 K 4) 1/384 1)))
(+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) J)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) J)) J)))
(fma.f64 1/384 (.f64 (pow.f64 K 4) J) (fma.f64 -1/46080 (.f64 (pow.f64 K 6) J) (fma.f64 -1/8 (.f64 (.f64 K K) J) J)))
(fma.f64 1/384 (.f64 (pow.f64 K 4) J) (fma.f64 -1/46080 (.f64 (pow.f64 K 6) J) (fma.f64 -1/8 (.f64 K (.f64 K J)) J)))
(fma.f64 (pow.f64 K 6) (.f64 J -1/46080) (fma.f64 J (fma.f64 (pow.f64 K 4) 1/384 (.f64 K (*.f64 K -1/8))) J))
(.f64 J (+.f64 (fma.f64 (.f64 K K) -1/8 1) (fma.f64 (pow.f64 K 4) 1/384 (*.f64 (pow.f64 K 6) -1/46080))))
(.f64 J (fma.f64 (.f64 K K) (fma.f64 K (*.f64 K 1/384) -1/8) (fma.f64 (pow.f64 K 6) -1/46080 1)))
(fma.f64 J (fma.f64 (pow.f64 K 6) -1/46080 (fma.f64 K (.f64 K -1/8) (.f64 (pow.f64 K 4) 1/384))) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
(.f64 (cos.f64 (.f64 1/2 K)) J)
(.f64 (cos.f64 (.f64 K 1/2)) J)
J
(+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) J)) J)
(fma.f64 -1/24 (.f64 (.f64 K K) J) J)
(.f64 (fma.f64 -1/24 (.f64 K K) 1) J)
(fma.f64 -1/24 (.f64 K (.f64 K J)) J)
(fma.f64 K (.f64 K (.f64 -1/24 J)) J)
(+.f64 (.f64 -1/1152 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) J)) J))
(fma.f64 -1/1152 (.f64 (pow.f64 K 4) J) (fma.f64 -1/24 (.f64 (*.f64 K K) J) J))
(+.f64 J (.f64 J (fma.f64 -1/24 (.f64 K K) (*.f64 -1/1152 (pow.f64 K 4)))))
(.f64 J (fma.f64 -1/24 (.f64 K K) (fma.f64 -1/1152 (pow.f64 K 4) 1)))
(.f64 (fma.f64 -1/24 (.f64 K K) (fma.f64 -1/1152 (pow.f64 K 4) 1)) J)
(fma.f64 (.f64 (.f64 K K) (fma.f64 (*.f64 K K) -1/1152 -1/24)) J J)
(+.f64 (.f64 -1/1152 (.f64 (pow.f64 K 4) J)) (+.f64 (.f64 -23/414720 (.f64 (pow.f64 K 6) J)) (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) J)) J)))
(fma.f64 -1/1152 (.f64 (pow.f64 K 4) J) (fma.f64 -23/414720 (.f64 (pow.f64 K 6) J) (fma.f64 -1/24 (.f64 (.f64 K K) J) J)))
(fma.f64 -1/1152 (.f64 (pow.f64 K 4) J) (fma.f64 -23/414720 (.f64 (pow.f64 K 6) J) (.f64 (fma.f64 -1/24 (.f64 K K) 1) J)))
(+.f64 J (.f64 J (fma.f64 -23/414720 (pow.f64 K 6) (fma.f64 -1/24 (.f64 K K) (*.f64 -1/1152 (pow.f64 K 4))))))
(.f64 J (fma.f64 -23/414720 (pow.f64 K 6) (fma.f64 -1/24 (.f64 K K) (fma.f64 -1/1152 (pow.f64 K 4) 1))))
(.f64 J (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) -1/1152 -1/24) (fma.f64 -23/414720 (pow.f64 K 6) 1)))
(.f64 J (fma.f64 -1/24 (.f64 K K) (fma.f64 -1/1152 (pow.f64 K 4) (fma.f64 -23/414720 (pow.f64 K 6) 1))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) 1) 1/3) J)
(.f64 J (cbrt.f64 (cos.f64 (.f64 K 1/2))))

eval416.0ms (1.9%)

Compiler: Compiled 21487 to 14324 computations (33.3% saved)

prune150.0ms (0.7%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	714	9	723
Fresh	7	5	12
Picked	0	1	1
Done	3	4	7
Total	724	19	743

Error

Counts

743 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.0b	(.f64 -2 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) 2) (.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 K))) J)))
	43.5b	U
	54.6b	(*.f64 -2 (pow.f64 (sqrt.f64 J) 2))
✓	47.3b	(*.f64 -2 J)
	43.9b	(.f64 -2 (-.f64 (.f64 U -1/2) (*.f64 J (/.f64 J U))))
	43.9b	(.f64 -2 (-.f64 (.f64 U -1/2) (/.f64 J (/.f64 U J))))
	47.2b	(neg.f64 U)
✓	53.5b	(.f64 -2 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) 3)))
	48.2b	(.f64 -2 (.f64 (sqrt.f64 J) (.f64 (sqrt.f64 J) (cos.f64 (.f64 1/2 K)))))
✓	47.0b	(.f64 -2 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J)) 2))
	34.3b	(.f64 -2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J)) 3))
	48.2b	(.f64 -2 (.f64 (cbrt.f64 (.f64 J J)) (.f64 (cbrt.f64 J) (cos.f64 (*.f64 1/2 K)))))
	33.9b	(.f64 -2 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2)) (.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 K))) J)))
	43.8b	(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))))
	33.9b	(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) J))
	12.7b	(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2))))) 3) 3)))
	40.5b	(.f64 -2 (.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) (.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 K))) J)))
	34.3b	(.f64 -2 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J)) 2)))
✓	33.8b	(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))

Compiler

Compiled 287 to 232 computations (19.2% saved)

regimes537.0ms (2.4%)

Counts

47 → 7

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 -2 J)
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 -1/2 U))
(.f64 -2 (-.f64 (.f64 U -1/2) (/.f64 J (/.f64 U J))))
(.f64 -2 (-.f64 (.f64 U -1/2) (*.f64 J (/.f64 J U))))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) 1)))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 J (+.f64 (/.f64 J U) (/.f64 K (/.f64 (/.f64 U J) (.f64 -1/4 K)))))))
(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (/.f64 (+.f64 (cos.f64 K) 1) 2))))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K))))))))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K))))))))
(*.f64 -2 (pow.f64 (sqrt.f64 J) 2))
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) J))
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 J))) (.f64 J (cos.f64 (/.f64 K 2)))))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 J (/.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 2) (/.f64 U J)))))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))))
(.f64 -2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J)) 3))
(.f64 -2 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) 3)))
(.f64 -2 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J)) 2))
(.f64 -2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J)) 3))
(.f64 -2 (.f64 (sqrt.f64 J) (.f64 (sqrt.f64 J) (cos.f64 (.f64 1/2 K)))))
(.f64 -2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (sqrt.f64 J)) (sqrt.f64 J)))
(.f64 -2 (.f64 (cbrt.f64 (.f64 J J)) (.f64 (cbrt.f64 J) (cos.f64 (*.f64 1/2 K)))))
(.f64 -2 (.f64 (cbrt.f64 (.f64 J J)) (.f64 (cbrt.f64 J) (cos.f64 (*.f64 1/2 K)))))
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (*.f64 J (cos.f64 (/.f64 K 2)))))
(.f64 -2 (.f64 (sqrt.f64 (cos.f64 (.f64 1/2 K))) (.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 K))) J)))
(.f64 -2 (.f64 (.f64 J (sqrt.f64 (cos.f64 (.f64 1/2 K)))) (sqrt.f64 (cos.f64 (*.f64 1/2 K)))))
(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
(.f64 -2 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2)) (.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 K))) J)))
(.f64 -2 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) 2) (.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 K))) J)))
(.f64 -2 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J)) 2)))
(.f64 -2 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J)) 2) (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 K)) J))))
(.f64 -2 (cbrt.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J)))))) 3)))
(.f64 -2 (.f64 (hypot.f64 1 (pow.f64 (cbrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 J)))) 3)) (.f64 J (cos.f64 (/.f64 K 2)))))
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (pow.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2)))) 3)))
(.f64 -2 (pow.f64 (sqrt.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J))))))) 2))
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 (.f64 (cos.f64 (*.f64 K 1/2)) (sqrt.f64 J)) (sqrt.f64 J))))
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (pow.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) (cbrt.f64 J)) 3)))
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 (.f64 J (sqrt.f64 (cos.f64 (.f64 K 1/2)))) (sqrt.f64 (cos.f64 (.f64 K 1/2))))))
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2))))) 3) 3)))
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 (.f64 J (pow.f64 (cbrt.f64 (cos.f64 (.f64 K 1/2))) 2)) (cbrt.f64 (cos.f64 (.f64 K 1/2))))))
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2)))) (pow.f64 (cbrt.f64 (.f64 J (cos.f64 (*.f64 K 1/2)))) 2))))

Outputs
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (*.f64 J (cos.f64 (/.f64 K 2)))))
U
(neg.f64 U)
U
(neg.f64 U)
U
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (*.f64 J (cos.f64 (/.f64 K 2)))))

Calls

6 calls:

199.0ms	J
175.0ms	U
51.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
40.0ms	(/.f64 K 2)
24.0ms	K

Results

Error	Segments	Branch
6.2b	7	`J`
10.6b	1	`K`
8.1b	5	`U`
8.0b	3	`(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))`
10.6b	1	`(cos.f64 (/.f64 K 2))`
10.6b	1	`(/.f64 K 2)`

Compiler

Compiled 805 to 596 computations (26% saved)

bsearch662.0ms (3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
143.0ms	1.7600164228302432e-178	4.380969590943234e-176
99.0ms	9.614076072178369e-236	1.1544876241990747e-233
97.0ms	3.1339674957080726e-250	1.2053444655879548e-249
97.0ms	2.7798137026854894e-292	2.5460246923734626e-285
108.0ms	-4.4901932983253626e-271	-6.353179236596736e-274
116.0ms	-5.407221669367018e-193	-1.148059202192158e-193

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes661.0ms (3%)

Counts

29 → 7

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 -2 J)
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 -1/2 U))
(.f64 -2 (-.f64 (.f64 U -1/2) (/.f64 J (/.f64 U J))))
(.f64 -2 (-.f64 (.f64 U -1/2) (*.f64 J (/.f64 J U))))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) 1)))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 J (+.f64 (/.f64 J U) (/.f64 K (/.f64 (/.f64 U J) (.f64 -1/4 K)))))))
(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (/.f64 (+.f64 (cos.f64 K) 1) 2))))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K))))))))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K))))))))
(*.f64 -2 (pow.f64 (sqrt.f64 J) 2))
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) J))
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 J))) (.f64 J (cos.f64 (/.f64 K 2)))))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 J (/.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 2) (/.f64 U J)))))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))))
(.f64 -2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J)) 3))
(.f64 -2 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J) 3)))
(.f64 -2 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J)) 2))
(.f64 -2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (*.f64 1/2 K)) J)) 3))
(.f64 -2 (.f64 (sqrt.f64 J) (.f64 (sqrt.f64 J) (cos.f64 (.f64 1/2 K)))))
(.f64 -2 (.f64 (.f64 (cos.f64 (.f64 1/2 K)) (sqrt.f64 J)) (sqrt.f64 J)))
(.f64 -2 (.f64 (cbrt.f64 (.f64 J J)) (.f64 (cbrt.f64 J) (cos.f64 (*.f64 1/2 K)))))
(.f64 -2 (.f64 (cbrt.f64 (.f64 J J)) (.f64 (cbrt.f64 J) (cos.f64 (*.f64 1/2 K)))))

Outputs
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 J))) (.f64 J (cos.f64 (/.f64 K 2)))))
U
(neg.f64 U)
U
(neg.f64 U)
U
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 J))) (.f64 J (cos.f64 (/.f64 K 2)))))

Calls

7 calls:

174.0ms	U
116.0ms	J
101.0ms	(/.f64 K 2)
84.0ms	(cos.f64 (/.f64 K 2))
73.0ms	K

Results

Error	Segments	Branch
12.1b	7	`J`
16.5b	5	`K`
16.4b	4	`U`
17.4b	3	`(cos.f64 (/.f64 K 2))`
17.4b	3	`(cos.f64 (/.f64 K 2))`
16.5b	5	`(/.f64 K 2)`
16.5b	5	`(/.f64 K 2)`

Compiler

Compiled 381 to 263 computations (31% saved)

bsearch982.0ms (4.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
106.0ms	1.7600164228302432e-178	4.380969590943234e-176
170.0ms	9.614076072178369e-236	1.1544876241990747e-233
291.0ms	3.1339674957080726e-250	1.2053444655879548e-249
111.0ms	2.7798137026854894e-292	2.5460246923734626e-285
123.0ms	-4.4901932983253626e-271	-6.353179236596736e-274
180.0ms	-1.112123401272729e-92	-2.4274540830814573e-119

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes453.0ms (2%)

Counts

18 → 7

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 -2 J)
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 -1/2 U))
(.f64 -2 (-.f64 (.f64 U -1/2) (/.f64 J (/.f64 U J))))
(.f64 -2 (-.f64 (.f64 U -1/2) (*.f64 J (/.f64 J U))))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) 1)))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 J (+.f64 (/.f64 J U) (/.f64 K (/.f64 (/.f64 U J) (.f64 -1/4 K)))))))
(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (/.f64 (+.f64 (cos.f64 K) 1) 2))))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K))))))))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 K))))))))
(*.f64 -2 (pow.f64 (sqrt.f64 J) 2))
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) J))

Outputs
(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(neg.f64 U)
(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) J))
(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))))
(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))

Calls

7 calls:

96.0ms	U
91.0ms	J
80.0ms	(/.f64 K 2)
63.0ms	(/.f64 K 2)
62.0ms	K

Results

Error	Segments	Branch
19.6b	8	`J`
17.7b	7	`K`
20.1b	11	`U`
18.8b	3	`(cos.f64 (/.f64 K 2))`
18.8b	3	`(cos.f64 (/.f64 K 2))`
17.7b	7	`(/.f64 K 2)`
17.7b	7	`(/.f64 K 2)`

Compiler

Compiled 233 to 162 computations (30.5% saved)

bsearch1.0ms (0%)

Algorithm

6×	left-value

Steps

Time	Left	Right
0.0ms	4.597942218605084e+224	3.2493005073031847e+227
0.0ms	3.914114285595241e+194	4.280626106029638e+204
0.0ms	1.7236564276939782e-13	1.0862430740751753e-11
0.0ms	-0.054986268026292924	-7.535892322150819e-11
0.0ms	-1.4733572135977155e+206	-7.182767813256923e+203
0.0ms	-3.8034188753939926e+264	-1.3792309139756147e+259

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes367.0ms (1.7%)

Counts

17 → 12

Calls

Call 1

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

Outputs
(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(neg.f64 U)
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (/.f64 (+.f64 (cos.f64 K) 1) 2))))
(neg.f64 U)
U
(neg.f64 U)
U
(neg.f64 U)
U
(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))))
(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))

Calls

3 calls:

168.0ms	J
105.0ms	U
87.0ms	K

Results

Error	Segments	Branch
18.3b	12	`J`
28.4b	9	`K`
21.1b	10	`U`

Compiler

Compiled 191 to 128 computations (33% saved)

bsearch1.6s (7.3%)

Algorithm

11×	binary-search

Steps

Time	Left	Right
117.0ms	1.3189139956482617e+29	1.73649333575115e+32
163.0ms	3.796490840369312e-29	2.216045318724295e-28
123.0ms	8.139644730068876e-85	3.945607876040626e-80
193.0ms	9.614076072178369e-236	1.1544876241990747e-233
108.0ms	3.1339674957080726e-250	1.2053444655879548e-249
106.0ms	2.7798137026854894e-292	2.5460246923734626e-285
123.0ms	-4.4901932983253626e-271	-6.353179236596736e-274
142.0ms	-1.112123401272729e-92	-2.4274540830814573e-119
240.0ms	-2.3108588166833224e-58	-7.777307200620765e-78
143.0ms	-1.3717742236812826e-33	-2.3742705005537637e-34
152.0ms	-9.706203699812085e+38	-7.143585701265306e+36

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes286.0ms (1.3%)

Counts

13 → 12

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 -2 J)
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 -1/2 U))
(.f64 -2 (-.f64 (.f64 U -1/2) (/.f64 J (/.f64 U J))))
(.f64 -2 (-.f64 (.f64 U -1/2) (*.f64 J (/.f64 J U))))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) 1)))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 J (+.f64 (/.f64 J U) (/.f64 K (/.f64 (/.f64 U J) (.f64 -1/4 K)))))))
(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))))

Outputs
(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(neg.f64 U)
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))))
(neg.f64 U)
U
(neg.f64 U)
U
(neg.f64 U)
U
(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (*.f64 1/2 (cos.f64 K))))))
(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))

Calls

3 calls:

115.0ms	U
91.0ms	J
75.0ms	K

Results

Error	Segments	Branch
18.3b	12	`J`
28.4b	9	`K`
21.1b	10	`U`

Compiler

Compiled 123 to 83 computations (32.5% saved)

bsearch1.3s (5.9%)

Algorithm

11×	binary-search

Steps

Time	Left	Right
96.0ms	1.3189139956482617e+29	1.73649333575115e+32
184.0ms	3.796490840369312e-29	2.216045318724295e-28
130.0ms	8.139644730068876e-85	3.945607876040626e-80
112.0ms	9.614076072178369e-236	1.1544876241990747e-233
149.0ms	3.1339674957080726e-250	1.2053444655879548e-249
95.0ms	2.7798137026854894e-292	2.5460246923734626e-285
127.0ms	-4.4901932983253626e-271	-6.353179236596736e-274
103.0ms	-1.112123401272729e-92	-2.4274540830814573e-119
99.0ms	-2.3108588166833224e-58	-7.777307200620765e-78
103.0ms	-1.3717742236812826e-33	-2.3742705005537637e-34
100.0ms	-9.706203699812085e+38	-7.143585701265306e+36

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes378.0ms (1.7%)

Counts

12 → 12

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 -2 J)
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 -1/2 U))
(.f64 -2 (-.f64 (.f64 U -1/2) (/.f64 J (/.f64 U J))))
(.f64 -2 (-.f64 (.f64 U -1/2) (*.f64 J (/.f64 J U))))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) 1)))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 J (+.f64 (/.f64 J U) (/.f64 K (/.f64 (/.f64 U J) (.f64 -1/4 K)))))))
(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))

Outputs
(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
(neg.f64 U)
(.f64 -2 (-.f64 (.f64 U -1/2) (/.f64 J (/.f64 U J))))
(neg.f64 U)
U
(neg.f64 U)
U
(neg.f64 U)
U
(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))
U
(.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))

Calls

3 calls:

184.0ms	K
109.0ms	U
79.0ms	J

Results

Error	Segments	Branch
18.4b	12	`J`
28.4b	9	`K`
21.2b	10	`U`

Compiler

Compiled 105 to 71 computations (32.4% saved)

bsearch1.4s (6.2%)

Algorithm

11×	binary-search

Steps

Time	Left	Right
95.0ms	1.3189139956482617e+29	1.73649333575115e+32
101.0ms	3.796490840369312e-29	2.216045318724295e-28
102.0ms	8.139644730068876e-85	3.945607876040626e-80
106.0ms	9.614076072178369e-236	1.1544876241990747e-233
98.0ms	3.1339674957080726e-250	1.2053444655879548e-249
101.0ms	2.7798137026854894e-292	2.5460246923734626e-285
104.0ms	-4.4901932983253626e-271	-6.353179236596736e-274
222.0ms	-1.112123401272729e-92	-2.4274540830814573e-119
96.0ms	-2.3108588166833224e-58	-7.777307200620765e-78
261.0ms	-1.3717742236812826e-33	-2.3742705005537637e-34
97.0ms	-9.706203699812085e+38	-7.143585701265306e+36

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes172.0ms (0.8%)

Counts

11 → 10

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 -2 J)
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 -1/2 U))
(.f64 -2 (-.f64 (.f64 U -1/2) (/.f64 J (/.f64 U J))))
(.f64 -2 (-.f64 (.f64 U -1/2) (*.f64 J (/.f64 J U))))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) 1)))
(.f64 -2 (-.f64 (.f64 U -1/2) (.f64 J (+.f64 (/.f64 J U) (/.f64 K (/.f64 (/.f64 U J) (.f64 -1/4 K)))))))

Outputs
(.f64 -2 (-.f64 (.f64 U -1/2) (/.f64 J (/.f64 U J))))
(neg.f64 U)
U
(*.f64 -2 J)
U
(*.f64 -2 J)
(neg.f64 U)
U
(neg.f64 U)
U

Calls

3 calls:

64.0ms	U
60.0ms	K
44.0ms	J

Results

Error	Segments	Branch
31.4b	7	`J`
34.9b	9	`K`
30.8b	10	`U`

Compiler

Compiled 97 to 65 computations (33% saved)

bsearch886.0ms (4%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
105.0ms	7.044830528882503e+276	9.03535791399554e+277
96.0ms	4.713430986836766e+219	1.1748400703979218e+223
96.0ms	5.5278834144233005e+128	3.637898714886774e+133
99.0ms	2.857098725848094e+86	1.4108388043612707e+99
99.0ms	6.875217985527028e+80	1.4615272108557775e+82
97.0ms	1.1203710663136834e-5	5.992234518714746e-5
98.0ms	-12249631411.58905	-3750.6398328950063
99.0ms	-1.0758961733910796e+126	-1.2972289101749743e+123
96.0ms	-1.1240578658321223e+164	-1.549103919757985e+161

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes129.0ms (0.6%)

Counts

7 → 10

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 -2 J)
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 1/2 U))
(.f64 -2 (.f64 -1/2 U))

Outputs
U
(neg.f64 U)
U
(*.f64 -2 J)
U
(*.f64 -2 J)
(neg.f64 U)
U
(neg.f64 U)
U

Calls

3 calls:

49.0ms	U
44.0ms	K
33.0ms	J

Results

Error	Segments	Branch
31.4b	7	`J`
34.9b	9	`K`
30.9b	10	`U`

Compiler

Compiled 41 to 31 computations (24.4% saved)

bsearch877.0ms (4%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
97.0ms	7.044830528882503e+276	9.03535791399554e+277
98.0ms	4.713430986836766e+219	1.1748400703979218e+223
94.0ms	5.5278834144233005e+128	3.637898714886774e+133
97.0ms	2.857098725848094e+86	1.4108388043612707e+99
98.0ms	6.875217985527028e+80	1.4615272108557775e+82
99.0ms	1.1203710663136834e-5	5.992234518714746e-5
98.0ms	-12249631411.58905	-3750.6398328950063
98.0ms	-1.0758961733910796e+126	-1.2972289101749743e+123
98.0ms	-1.1240578658321223e+164	-1.549103919757985e+161

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes66.0ms (0.3%)

Accuracy

Total -25.2b remaining (-66.2%)

Threshold costs -25.2b (-66.2%)

Counts

2 → 9

Calls

Call 1

Inputs
U
(neg.f64 U)

Outputs
U
(neg.f64 U)
U
(neg.f64 U)
U
(neg.f64 U)
U
(neg.f64 U)
U

Calls

3 calls:

26.0ms	U
21.0ms	J
16.0ms	K

Results

Error	Segments	Branch
39.8b	7	`J`
40.0b	4	`K`
38.0b	9	`U`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch782.0ms (3.5%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
98.0ms	7.044830528882503e+276	9.03535791399554e+277
99.0ms	4.713430986836766e+219	1.1748400703979218e+223
97.0ms	5.5278834144233005e+128	3.637898714886774e+133
98.0ms	6.875217985527028e+80	1.4615272108557775e+82
97.0ms	2.999894301940446e-12	1.0726049592120706e-11
97.0ms	3.603943909920846e-90	3.3515120028354784e-84
98.0ms	-1.0758961733910796e+126	-1.2972289101749743e+123
98.0ms	-1.1240578658321223e+164	-1.549103919757985e+161

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

35×	`*-commutative_binary64`
19×	`+-commutative_binary64`
17×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	1067
1	209	1067
2	243	1067
3	273	1067
4	301	1067
5	313	1067
6	317	1067
7	318	1067

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 J -5555218912239801/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448) (.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 J (cos.f64 (/.f64 K 2))))) (if (<=.f64 J -4375834366406453248/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) U (if (<=.f64 J 49972520095138992/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (neg.f64 U) (if (<=.f64 J 5052666896788059/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) U (if (<=.f64 J 5506732017920509/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (neg.f64 U) (if (<=.f64 J 6423976332162257/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208) U (.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 J (cos.f64 (/.f64 K 2)))))))))))
(if (<=.f64 J -102026139265167/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 J))) (.f64 J (cos.f64 (/.f64 K 2))))) (if (<=.f64 J -4375834366406453248/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) U (if (<=.f64 J 49972520095138992/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (neg.f64 U) (if (<=.f64 J 5052666896788059/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) U (if (<=.f64 J 5506732017920509/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (neg.f64 U) (if (<=.f64 J 6423976332162257/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208) U (.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 J))) (.f64 J (cos.f64 (/.f64 K 2)))))))))))
(if (<=.f64 (/.f64 K 2) -2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008) (.f64 -2 (.f64 (cos.f64 (.f64 1/2 K)) J)) (if (<=.f64 (/.f64 K 2) -100000000000000003889357755108838843130737249295202013334302382007691294289384896763079965607877701387326460311941213291353170611409437561654018367221268940354434586262616943544566455807655946219322240663552) (neg.f64 U) (if (<=.f64 (/.f64 K 2) -922337203685477632/18446744073709551616) (.f64 -2 (.f64 (cos.f64 (.f64 1/2 K)) J)) (if (<=.f64 (/.f64 K 2) 15845632502852868/79228162514264337593543950336) (.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) J)) (if (<=.f64 (/.f64 K 2) 499999999999999988538882384714859598020732597094189431887223670286290898673927114447209430123954968903878300398056269985965808322842590849616633906975620536835002183524807772105054962541171572736) (.f64 -2 (.f64 (cos.f64 (.f64 1/2 K)) J)) (if (<=.f64 (/.f64 K 2) 499999999999999964227111724318263497804707306223243456268197521522525585749208789151208295153553467188676004711794318067127242311470730588919109020314930679307514026089293096804165265079253323065443524458327730161833343975424) (.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))))) (.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J))))))))
(if (<=.f64 J -970620369981208467451925517850711687168) (.f64 -2 (.f64 (cos.f64 (.f64 1/2 K)) J)) (if (<=.f64 J -8019401095834091/5846006549323611672814739330865132078623730171904) (neg.f64 U) (if (<=.f64 J -3266347293899343/14134776518227074636666380005943348126619871175004951664972849610340958208) (.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (/.f64 (+.f64 (cos.f64 K) 1) 2)))) (if (<=.f64 J -102026139265167/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (neg.f64 U) (if (<=.f64 J -4375834366406453248/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) U (if (<=.f64 J 49972520095138992/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (neg.f64 U) (if (<=.f64 J 5052666896788059/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) U (if (<=.f64 J 5506732017920509/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (neg.f64 U) (if (<=.f64 J 7121377534127749/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) U (if (<=.f64 J 3386582995185257/89202980794122492566142873090593446023921664) (.f64 -2 (.f64 (cos.f64 (.f64 1/2 K)) J)) (if (<=.f64 J 131891399564826171470140932096) (.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))))) (.f64 -2 (.f64 (cos.f64 (.f64 1/2 K)) J)))))))))))))
(if (<=.f64 J -970620369981208467451925517850711687168) (.f64 -2 (.f64 (cos.f64 (.f64 1/2 K)) J)) (if (<=.f64 J -8019401095834091/5846006549323611672814739330865132078623730171904) (neg.f64 U) (if (<=.f64 J -3266347293899343/14134776518227074636666380005943348126619871175004951664972849610340958208) (.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))))) (if (<=.f64 J -102026139265167/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (neg.f64 U) (if (<=.f64 J -4375834366406453248/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) U (if (<=.f64 J 49972520095138992/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (neg.f64 U) (if (<=.f64 J 5052666896788059/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) U (if (<=.f64 J 5506732017920509/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (neg.f64 U) (if (<=.f64 J 7121377534127749/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) U (if (<=.f64 J 3386582995185257/89202980794122492566142873090593446023921664) (.f64 -2 (.f64 (cos.f64 (.f64 1/2 K)) J)) (if (<=.f64 J 131891399564826171470140932096) (.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))))) (.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J)))))))))))))
(if (<=.f64 J -970620369981208467451925517850711687168) (.f64 -2 (.f64 (cos.f64 (.f64 1/2 K)) J)) (if (<=.f64 J -8019401095834091/5846006549323611672814739330865132078623730171904) (neg.f64 U) (if (<=.f64 J -3266347293899343/14134776518227074636666380005943348126619871175004951664972849610340958208) (.f64 -2 (-.f64 (.f64 U -1/2) (/.f64 J (/.f64 U J)))) (if (<=.f64 J -102026139265167/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (neg.f64 U) (if (<=.f64 J -4375834366406453248/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) U (if (<=.f64 J 49972520095138992/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (neg.f64 U) (if (<=.f64 J 5052666896788059/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) U (if (<=.f64 J 5506732017920509/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (neg.f64 U) (if (<=.f64 J 7121377534127749/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) U (if (<=.f64 J 3386582995185257/89202980794122492566142873090593446023921664) (.f64 -2 (.f64 (cos.f64 (.f64 1/2 K)) J)) (if (<=.f64 J 131891399564826171470140932096) U (.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J)))))))))))))
(if (<=.f64 U -112405786583212227245432674856749247247892489181695885512024814551585464107893925125105259515059625969726738768319644877739284681007740688582066772920171752014741504) (.f64 -2 (-.f64 (.f64 U -1/2) (/.f64 J (/.f64 U J)))) (if (<=.f64 U -1075896173391079562563086720537997004624591076515927306108434590453560097688134887826045605042597408802779997018968195933929472) (neg.f64 U) (if (<=.f64 U -200697961047475/16384) U (if (<=.f64 U 6613503464920829/590295810358705651712) (.f64 -2 J) (if (<=.f64 U 687521798552702843004055213562354646750083149614850268246654381670567338569629696) U (if (<=.f64 U 285709872584809383503937308873527832288542414492242597531909626171188142827905371602944) (.f64 -2 J) (if (<=.f64 U 552788341442330054277675016445093857279665350850416353495411976739873582343262397338361880613444795344766570148015546636129271808) (neg.f64 U) (if (<=.f64 U 4713430986836765811225332863326974623862986212393088514414183130244152226088094405867684986099370746381152493740437905443145419891362470338123362166669567323364002736015963247326234497875911342360462583901682435941728256) U (if (<=.f64 U 7044830528882502781132977358152591983587340212063435866755834297288877462269571998932921889305867046534764409680575822570761951974382792529693027917322075269568379086007895554514322117480184458451724042243134830580223923599351499145826140167969387403626260596036187584219578368) (neg.f64 U) U)))))))))
(if (<=.f64 U -112405786583212227245432674856749247247892489181695885512024814551585464107893925125105259515059625969726738768319644877739284681007740688582066772920171752014741504) U (if (<=.f64 U -1075896173391079562563086720537997004624591076515927306108434590453560097688134887826045605042597408802779997018968195933929472) (neg.f64 U) (if (<=.f64 U -200697961047475/16384) U (if (<=.f64 U 6613503464920829/590295810358705651712) (.f64 -2 J) (if (<=.f64 U 687521798552702843004055213562354646750083149614850268246654381670567338569629696) U (if (<=.f64 U 285709872584809383503937308873527832288542414492242597531909626171188142827905371602944) (.f64 -2 J) (if (<=.f64 U 552788341442330054277675016445093857279665350850416353495411976739873582343262397338361880613444795344766570148015546636129271808) (neg.f64 U) (if (<=.f64 U 4713430986836765811225332863326974623862986212393088514414183130244152226088094405867684986099370746381152493740437905443145419891362470338123362166669567323364002736015963247326234497875911342360462583901682435941728256) U (if (<=.f64 U 7044830528882502781132977358152591983587340212063435866755834297288877462269571998932921889305867046534764409680575822570761951974382792529693027917322075269568379086007895554514322117480184458451724042243134830580223923599351499145826140167969387403626260596036187584219578368) (neg.f64 U) U)))))))))
(if (<=.f64 U -112405786583212227245432674856749247247892489181695885512024814551585464107893925125105259515059625969726738768319644877739284681007740688582066772920171752014741504) U (if (<=.f64 U -1075896173391079562563086720537997004624591076515927306108434590453560097688134887826045605042597408802779997018968195933929472) (neg.f64 U) (if (<=.f64 U 33062561478037228/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) U (if (<=.f64 U 237676113279753216/79228162514264337593543950336) (neg.f64 U) (if (<=.f64 U 687521798552702843004055213562354646750083149614850268246654381670567338569629696) U (if (<=.f64 U 552788341442330054277675016445093857279665350850416353495411976739873582343262397338361880613444795344766570148015546636129271808) (neg.f64 U) (if (<=.f64 U 4713430986836765811225332863326974623862986212393088514414183130244152226088094405867684986099370746381152493740437905443145419891362470338123362166669567323364002736015963247326234497875911342360462583901682435941728256) U (if (<=.f64 U 7044830528882502781132977358152591983587340212063435866755834297288877462269571998932921889305867046534764409680575822570761951974382792529693027917322075269568379086007895554514322117480184458451724042243134830580223923599351499145826140167969387403626260596036187584219578368) (neg.f64 U) U))))))))
U

Outputs
(if (<=.f64 J -5555218912239801/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448) (.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 J (cos.f64 (/.f64 K 2))))) (if (<=.f64 J -4375834366406453248/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) U (if (<=.f64 J 49972520095138992/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (neg.f64 U) (if (<=.f64 J 5052666896788059/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) U (if (<=.f64 J 5506732017920509/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (neg.f64 U) (if (<=.f64 J 6423976332162257/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208) U (.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 J (cos.f64 (/.f64 K 2)))))))))))
(if (<=.f64 J -5555218912239801/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448) (.f64 -2 (.f64 (.f64 J (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))))) (if (<=.f64 J -2136637874221901/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312) U (if (<=.f64 J 3123282505946187/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576) (neg.f64 U) (if (<=.f64 J 5052666896788059/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) U (if (<=.f64 J 5506732017920509/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (neg.f64 U) (if (<=.f64 J 6423976332162257/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208) U (.f64 -2 (.f64 (.f64 J (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2))))))))))))))
(if (<=.f64 J -102026139265167/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 J))) (.f64 J (cos.f64 (/.f64 K 2))))) (if (<=.f64 J -4375834366406453248/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) U (if (<=.f64 J 49972520095138992/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (neg.f64 U) (if (<=.f64 J 5052666896788059/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) U (if (<=.f64 J 5506732017920509/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (neg.f64 U) (if (<=.f64 J 6423976332162257/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208) U (.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 J))) (.f64 J (cos.f64 (/.f64 K 2)))))))))))
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(if (<=.f64 J -970620369981208467451925517850711687168) (.f64 -2 (.f64 (cos.f64 (.f64 1/2 K)) J)) (if (<=.f64 J -8019401095834091/5846006549323611672814739330865132078623730171904) (neg.f64 U) (if (<=.f64 J -3266347293899343/14134776518227074636666380005943348126619871175004951664972849610340958208) (.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (/.f64 (+.f64 (cos.f64 K) 1) 2)))) (if (<=.f64 J -102026139265167/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (neg.f64 U) (if (<=.f64 J -4375834366406453248/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) U (if (<=.f64 J 49972520095138992/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (neg.f64 U) (if (<=.f64 J 5052666896788059/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) U (if (<=.f64 J 5506732017920509/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (neg.f64 U) (if (<=.f64 J 7121377534127749/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) U (if (<=.f64 J 3386582995185257/89202980794122492566142873090593446023921664) (.f64 -2 (.f64 (cos.f64 (.f64 1/2 K)) J)) (if (<=.f64 J 131891399564826171470140932096) (.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))))) (.f64 -2 (.f64 (cos.f64 (.f64 1/2 K)) J)))))))))))))
(if (<=.f64 J -970620369981208467451925517850711687168) (.f64 -2 (.f64 J (cos.f64 (.f64 K 1/2)))) (if (<=.f64 J -8019401095834091/5846006549323611672814739330865132078623730171904) (neg.f64 U) (if (<=.f64 J -3266347293899343/14134776518227074636666380005943348126619871175004951664972849610340958208) (.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (/.f64 (+.f64 1 (cos.f64 K)) 2)))) (if (<=.f64 J -102026139265167/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (neg.f64 U) (if (<=.f64 J -2136637874221901/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312) U (if (<=.f64 J 3123282505946187/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576) (neg.f64 U) (if (<=.f64 J 5052666896788059/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) U (if (<=.f64 J 5506732017920509/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (neg.f64 U) (if (<=.f64 J 7121377534127749/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) U (if (<=.f64 J 3386582995185257/89202980794122492566142873090593446023921664) (.f64 -2 (.f64 J (cos.f64 (.f64 K 1/2)))) (if (<=.f64 J 131891399564826171470140932096) (.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 J (/.f64 J U)) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))))) (.f64 -2 (.f64 J (cos.f64 (.f64 K 1/2)))))))))))))))
(if (<=.f64 J -970620369981208467451925517850711687168) (.f64 -2 (.f64 J (cos.f64 (.f64 K 1/2)))) (if (<=.f64 J -8019401095834091/5846006549323611672814739330865132078623730171904) (neg.f64 U) (if (<=.f64 J -3266347293899343/14134776518227074636666380005943348126619871175004951664972849610340958208) (.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (/.f64 (+.f64 1 (cos.f64 K)) 2)))) (if (<=.f64 J -102026139265167/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (neg.f64 U) (if (<=.f64 J -2136637874221901/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312) U (if (<=.f64 J 3123282505946187/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576) (neg.f64 U) (if (<=.f64 J 5052666896788059/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) U (if (<=.f64 J 5506732017920509/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (neg.f64 U) (if (<=.f64 J 7121377534127749/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) U (if (<=.f64 J 3386582995185257/89202980794122492566142873090593446023921664) (.f64 -2 (.f64 J (cos.f64 (.f64 K 1/2)))) (if (<=.f64 J 131891399564826171470140932096) (.f64 -2 (+.f64 (.f64 U -1/2) (.f64 (.f64 J (/.f64 J U)) (+.f64 -1/2 (.f64 -1/2 (cos.f64 K)))))) (.f64 -2 (.f64 J (cos.f64 (.f64 K 1/2)))))))))))))))
(if (<=.f64 J -970620369981208467451925517850711687168) (.f64 -2 (.f64 J (cos.f64 (.f64 K 1/2)))) (if (<=.f64 J -8019401095834091/5846006549323611672814739330865132078623730171904) (neg.f64 U) (if (<=.f64 J -3266347293899343/14134776518227074636666380005943348126619871175004951664972849610340958208) (.f64 -2 (+.f64 (.f64 U -1/2) (.f64 (/.f64 (.f64 J J) U) (/.f64 (-.f64 -1 (cos.f64 K)) 2)))) (if (<=.f64 J -102026139265167/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (neg.f64 U) (if (<=.f64 J -2136637874221901/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312) U (if (<=.f64 J 3123282505946187/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576) (neg.f64 U) (if (<=.f64 J 5052666896788059/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) U (if (<=.f64 J 5506732017920509/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (neg.f64 U) (if (<=.f64 J 7121377534127749/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) U (if (<=.f64 J 3386582995185257/89202980794122492566142873090593446023921664) (.f64 -2 (.f64 J (cos.f64 (.f64 K 1/2)))) (if (<=.f64 J 131891399564826171470140932096) (.f64 -2 (+.f64 (.f64 U -1/2) (.f64 (.f64 J (/.f64 J U)) (+.f64 -1/2 (.f64 -1/2 (cos.f64 K)))))) (.f64 -2 (.f64 J (cos.f64 (.f64 K 1/2)))))))))))))))
(if (<=.f64 J -970620369981208467451925517850711687168) (.f64 -2 (.f64 (cos.f64 (.f64 1/2 K)) J)) (if (<=.f64 J -8019401095834091/5846006549323611672814739330865132078623730171904) (neg.f64 U) (if (<=.f64 J -3266347293899343/14134776518227074636666380005943348126619871175004951664972849610340958208) (.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))))) (if (<=.f64 J -102026139265167/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (neg.f64 U) (if (<=.f64 J -4375834366406453248/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) U (if (<=.f64 J 49972520095138992/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (neg.f64 U) (if (<=.f64 J 5052666896788059/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) U (if (<=.f64 J 5506732017920509/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (neg.f64 U) (if (<=.f64 J 7121377534127749/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) U (if (<=.f64 J 3386582995185257/89202980794122492566142873090593446023921664) (.f64 -2 (.f64 (cos.f64 (.f64 1/2 K)) J)) (if (<=.f64 J 131891399564826171470140932096) (.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 (/.f64 J U) J) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))))) (.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J)))))))))))))
(if (<=.f64 J -970620369981208467451925517850711687168) (.f64 -2 (.f64 J (cos.f64 (.f64 K 1/2)))) (if (<=.f64 J -8019401095834091/5846006549323611672814739330865132078623730171904) (neg.f64 U) (if (<=.f64 J -3266347293899343/14134776518227074636666380005943348126619871175004951664972849610340958208) (.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 J (/.f64 J U)) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))))) (if (<=.f64 J -102026139265167/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (neg.f64 U) (if (<=.f64 J -2136637874221901/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312) U (if (<=.f64 J 3123282505946187/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576) (neg.f64 U) (if (<=.f64 J 5052666896788059/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) U (if (<=.f64 J 5506732017920509/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (neg.f64 U) (if (<=.f64 J 7121377534127749/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) U (if (<=.f64 J 3386582995185257/89202980794122492566142873090593446023921664) (.f64 -2 (.f64 J (cos.f64 (.f64 K 1/2)))) (if (<=.f64 J 131891399564826171470140932096) (.f64 -2 (-.f64 (.f64 U -1/2) (.f64 (.f64 J (/.f64 J U)) (+.f64 1/2 (.f64 1/2 (cos.f64 K)))))) (.f64 -2 (.f64 J (cos.f64 (*.f64 K 1/2)))))))))))))))
(if (<=.f64 J -970620369981208467451925517850711687168) (.f64 -2 (.f64 J (cos.f64 (.f64 K 1/2)))) (if (<=.f64 J -8019401095834091/5846006549323611672814739330865132078623730171904) (neg.f64 U) (if (<=.f64 J -3266347293899343/14134776518227074636666380005943348126619871175004951664972849610340958208) (.f64 -2 (+.f64 (.f64 U -1/2) (.f64 (.f64 J (/.f64 J U)) (+.f64 -1/2 (.f64 -1/2 (cos.f64 K)))))) (if (<=.f64 J -102026139265167/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (neg.f64 U) (if (<=.f64 J -2136637874221901/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312) U (if (<=.f64 J 3123282505946187/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576) (neg.f64 U) (if (<=.f64 J 5052666896788059/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) U (if (<=.f64 J 5506732017920509/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (neg.f64 U) (if (<=.f64 J 7121377534127749/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) U (if (<=.f64 J 3386582995185257/89202980794122492566142873090593446023921664) (.f64 -2 (.f64 J (cos.f64 (.f64 K 1/2)))) (if (<=.f64 J 131891399564826171470140932096) (.f64 -2 (+.f64 (.f64 U -1/2) (.f64 (.f64 J (/.f64 J U)) (+.f64 -1/2 (.f64 -1/2 (cos.f64 K)))))) (.f64 -2 (.f64 J (cos.f64 (*.f64 K 1/2)))))))))))))))
(if (<=.f64 J -970620369981208467451925517850711687168) (.f64 -2 (.f64 (cos.f64 (.f64 1/2 K)) J)) (if (<=.f64 J -8019401095834091/5846006549323611672814739330865132078623730171904) (neg.f64 U) (if (<=.f64 J -3266347293899343/14134776518227074636666380005943348126619871175004951664972849610340958208) (.f64 -2 (-.f64 (.f64 U -1/2) (/.f64 J (/.f64 U J)))) (if (<=.f64 J -102026139265167/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (neg.f64 U) (if (<=.f64 J -4375834366406453248/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) U (if (<=.f64 J 49972520095138992/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (neg.f64 U) (if (<=.f64 J 5052666896788059/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) U (if (<=.f64 J 5506732017920509/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (neg.f64 U) (if (<=.f64 J 7121377534127749/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) U (if (<=.f64 J 3386582995185257/89202980794122492566142873090593446023921664) (.f64 -2 (.f64 (cos.f64 (.f64 1/2 K)) J)) (if (<=.f64 J 131891399564826171470140932096) U (.f64 -2 (.f64 (cos.f64 (*.f64 1/2 K)) J)))))))))))))
(if (<=.f64 J -970620369981208467451925517850711687168) (.f64 -2 (.f64 J (cos.f64 (.f64 K 1/2)))) (if (<=.f64 J -8019401095834091/5846006549323611672814739330865132078623730171904) (neg.f64 U) (if (<=.f64 J -3266347293899343/14134776518227074636666380005943348126619871175004951664972849610340958208) (.f64 -2 (-.f64 (.f64 U -1/2) (/.f64 J (/.f64 U J)))) (if (<=.f64 J -102026139265167/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (neg.f64 U) (if (<=.f64 J -2136637874221901/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312) U (if (<=.f64 J 3123282505946187/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576) (neg.f64 U) (if (<=.f64 J 5052666896788059/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) U (if (<=.f64 J 5506732017920509/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (neg.f64 U) (if (<=.f64 J 7121377534127749/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) U (if (<=.f64 J 3386582995185257/89202980794122492566142873090593446023921664) (.f64 -2 (.f64 J (cos.f64 (.f64 K 1/2)))) (if (<=.f64 J 131891399564826171470140932096) U (.f64 -2 (.f64 J (cos.f64 (*.f64 K 1/2)))))))))))))))
(if (<=.f64 U -112405786583212227245432674856749247247892489181695885512024814551585464107893925125105259515059625969726738768319644877739284681007740688582066772920171752014741504) (.f64 -2 (-.f64 (.f64 U -1/2) (/.f64 J (/.f64 U J)))) (if (<=.f64 U -1075896173391079562563086720537997004624591076515927306108434590453560097688134887826045605042597408802779997018968195933929472) (neg.f64 U) (if (<=.f64 U -200697961047475/16384) U (if (<=.f64 U 6613503464920829/590295810358705651712) (.f64 -2 J) (if (<=.f64 U 687521798552702843004055213562354646750083149614850268246654381670567338569629696) U (if (<=.f64 U 285709872584809383503937308873527832288542414492242597531909626171188142827905371602944) (.f64 -2 J) (if (<=.f64 U 552788341442330054277675016445093857279665350850416353495411976739873582343262397338361880613444795344766570148015546636129271808) (neg.f64 U) (if (<=.f64 U 4713430986836765811225332863326974623862986212393088514414183130244152226088094405867684986099370746381152493740437905443145419891362470338123362166669567323364002736015963247326234497875911342360462583901682435941728256) U (if (<=.f64 U 7044830528882502781132977358152591983587340212063435866755834297288877462269571998932921889305867046534764409680575822570761951974382792529693027917322075269568379086007895554514322117480184458451724042243134830580223923599351499145826140167969387403626260596036187584219578368) (neg.f64 U) U)))))))))
(if (<=.f64 U -112405786583212227245432674856749247247892489181695885512024814551585464107893925125105259515059625969726738768319644877739284681007740688582066772920171752014741504) (.f64 -2 (-.f64 (.f64 U -1/2) (/.f64 J (/.f64 U J)))) (if (<=.f64 U -1075896173391079562563086720537997004624591076515927306108434590453560097688134887826045605042597408802779997018968195933929472) (neg.f64 U) (if (<=.f64 U -200697961047475/16384) U (if (<=.f64 U 6613503464920829/590295810358705651712) (.f64 J -2) (if (<=.f64 U 687521798552702843004055213562354646750083149614850268246654381670567338569629696) U (if (<=.f64 U 285709872584809383503937308873527832288542414492242597531909626171188142827905371602944) (.f64 J -2) (if (<=.f64 U 552788341442330054277675016445093857279665350850416353495411976739873582343262397338361880613444795344766570148015546636129271808) (neg.f64 U) (if (<=.f64 U 4713430986836765811225332863326974623862986212393088514414183130244152226088094405867684986099370746381152493740437905443145419891362470338123362166669567323364002736015963247326234497875911342360462583901682435941728256) U (if (<=.f64 U 7044830528882502781132977358152591983587340212063435866755834297288877462269571998932921889305867046534764409680575822570761951974382792529693027917322075269568379086007895554514322117480184458451724042243134830580223923599351499145826140167969387403626260596036187584219578368) (neg.f64 U) U)))))))))
(if (<=.f64 U -112405786583212227245432674856749247247892489181695885512024814551585464107893925125105259515059625969726738768319644877739284681007740688582066772920171752014741504) U (if (<=.f64 U -1075896173391079562563086720537997004624591076515927306108434590453560097688134887826045605042597408802779997018968195933929472) (neg.f64 U) (if (<=.f64 U -200697961047475/16384) U (if (<=.f64 U 6613503464920829/590295810358705651712) (.f64 -2 J) (if (<=.f64 U 687521798552702843004055213562354646750083149614850268246654381670567338569629696) U (if (<=.f64 U 285709872584809383503937308873527832288542414492242597531909626171188142827905371602944) (.f64 -2 J) (if (<=.f64 U 552788341442330054277675016445093857279665350850416353495411976739873582343262397338361880613444795344766570148015546636129271808) (neg.f64 U) (if (<=.f64 U 4713430986836765811225332863326974623862986212393088514414183130244152226088094405867684986099370746381152493740437905443145419891362470338123362166669567323364002736015963247326234497875911342360462583901682435941728256) U (if (<=.f64 U 7044830528882502781132977358152591983587340212063435866755834297288877462269571998932921889305867046534764409680575822570761951974382792529693027917322075269568379086007895554514322117480184458451724042243134830580223923599351499145826140167969387403626260596036187584219578368) (neg.f64 U) U)))))))))
(if (<=.f64 U -112405786583212227245432674856749247247892489181695885512024814551585464107893925125105259515059625969726738768319644877739284681007740688582066772920171752014741504) U (if (<=.f64 U -1075896173391079562563086720537997004624591076515927306108434590453560097688134887826045605042597408802779997018968195933929472) (neg.f64 U) (if (<=.f64 U -200697961047475/16384) U (if (<=.f64 U 6613503464920829/590295810358705651712) (.f64 J -2) (if (<=.f64 U 687521798552702843004055213562354646750083149614850268246654381670567338569629696) U (if (<=.f64 U 285709872584809383503937308873527832288542414492242597531909626171188142827905371602944) (.f64 J -2) (if (<=.f64 U 552788341442330054277675016445093857279665350850416353495411976739873582343262397338361880613444795344766570148015546636129271808) (neg.f64 U) (if (<=.f64 U 4713430986836765811225332863326974623862986212393088514414183130244152226088094405867684986099370746381152493740437905443145419891362470338123362166669567323364002736015963247326234497875911342360462583901682435941728256) U (if (<=.f64 U 7044830528882502781132977358152591983587340212063435866755834297288877462269571998932921889305867046534764409680575822570761951974382792529693027917322075269568379086007895554514322117480184458451724042243134830580223923599351499145826140167969387403626260596036187584219578368) (neg.f64 U) U)))))))))
(if (<=.f64 U -112405786583212227245432674856749247247892489181695885512024814551585464107893925125105259515059625969726738768319644877739284681007740688582066772920171752014741504) U (if (<=.f64 U -1075896173391079562563086720537997004624591076515927306108434590453560097688134887826045605042597408802779997018968195933929472) (neg.f64 U) (if (<=.f64 U 33062561478037228/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) U (if (<=.f64 U 237676113279753216/79228162514264337593543950336) (neg.f64 U) (if (<=.f64 U 687521798552702843004055213562354646750083149614850268246654381670567338569629696) U (if (<=.f64 U 552788341442330054277675016445093857279665350850416353495411976739873582343262397338361880613444795344766570148015546636129271808) (neg.f64 U) (if (<=.f64 U 4713430986836765811225332863326974623862986212393088514414183130244152226088094405867684986099370746381152493740437905443145419891362470338123362166669567323364002736015963247326234497875911342360462583901682435941728256) U (if (<=.f64 U 7044830528882502781132977358152591983587340212063435866755834297288877462269571998932921889305867046534764409680575822570761951974382792529693027917322075269568379086007895554514322117480184458451724042243134830580223923599351499145826140167969387403626260596036187584219578368) (neg.f64 U) U))))))))
(if (<=.f64 U -112405786583212227245432674856749247247892489181695885512024814551585464107893925125105259515059625969726738768319644877739284681007740688582066772920171752014741504) U (if (<=.f64 U -1075896173391079562563086720537997004624591076515927306108434590453560097688134887826045605042597408802779997018968195933929472) (neg.f64 U) (if (<=.f64 U 8265640369509307/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) U (if (<=.f64 U 232105579374759/77371252455336267181195264) (neg.f64 U) (if (<=.f64 U 687521798552702843004055213562354646750083149614850268246654381670567338569629696) U (if (<=.f64 U 552788341442330054277675016445093857279665350850416353495411976739873582343262397338361880613444795344766570148015546636129271808) (neg.f64 U) (if (<=.f64 U 4713430986836765811225332863326974623862986212393088514414183130244152226088094405867684986099370746381152493740437905443145419891362470338123362166669567323364002736015963247326234497875911342360462583901682435941728256) U (if (<=.f64 U 7044830528882502781132977358152591983587340212063435866755834297288877462269571998932921889305867046534764409680575822570761951974382792529693027917322075269568379086007895554514322117480184458451724042243134830580223923599351499145826140167969387403626260596036187584219578368) (neg.f64 U) U))))))))
U

end293.0ms (1.3%)

Stop Event

1×

fuel

Compiler

Compiled 1479 to 979 computations (33.8% saved)