Metrics for Maksimov and Kolovsky, Equation (3)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze275.0ms (2.9%)

Memory

-26.1MiB live, 408.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	7
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	8
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	9
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	10
46.9%	46.8%	53%	0.1%	0%	0%	0%	11
46.9%	46.8%	53%	0.1%	0%	0%	0%	12

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.8s (18.5%)

Memory

36.6MiB live, 1 762.3MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 920.0ms

ival-mult: 326.0ms (35.4% of total)

ival-cos: 206.0ms (22.4% of total)

ival-div: 151.0ms (16.4% of total)

ival-pow2: 90.0ms (9.8% of total)

ival-sqrt: 68.0ms (7.4% of total)

ival-add: 55.0ms (6% of total)

exact: 13.0ms (1.4% of total)

ival-true: 7.0ms (0.8% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain217.0ms (2.3%)

Memory

22.1MiB live, 431.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
50	0	-	-	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`
29	0	-	-	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
0	0	-	-	`(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	0	-	-	`K`
0	0	-	-	`(/.f64 K #s(literal 2 binary64))`
0	0	-	-	`#s(literal 1 binary64)`
0	125	(-6.760732299641637e-168 -2.777200730532919e+286 -1.052211323237841e-171)	-	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
0	0	-	-	`(*.f64 #s(literal 2 binary64) J)`
0	0	-	-	`U`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))`
0	0	-	-	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`
0	0	-	-	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`
0	0	-	-	`J`
0	0	-	-	`(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`#s(literal -2 binary64)`
0	0	-	-	`(*.f64 #s(literal -2 binary64) J)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`	sensitivity	125	0
`sqrt.f64`	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`	oflow-rescue	50	0
↳	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`	overflow	29
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	29
↳	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))`	overflow	79
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	79
`*.f64`	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`	*no**	29	0

Confusion

	Predicted +	Predicted -
+	79	0
-	88	89

Precision

0.47305389221556887

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	79	0	0
-	88	0	89

Precision?

0.47305389221556887

Recall?

1.0

Freqs

test

number	freq
0	89
1	130
2	37

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

72.0ms

512×

valid

Compiler

Compiled 358 to 72 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 15.0ms (30.4% of total)

ival-cos: 15.0ms (30.4% of total)

ival-div: 7.0ms (14.2% of total)

ival-pow2: 5.0ms (10.1% of total)

ival-sqrt: 3.0ms (6.1% of total)

ival-add: 2.0ms (4% of total)

ival-true: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

ival-assert: 0.0ms (0% of total)

preprocess106.0ms (1.1%)

Memory

-7.5MiB live, 109.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	228
1	182	216
2	603	216
3	2240	216
4	4213	216
5	6564	216
0	17	24
0	28	24
1	44	24
2	87	24
3	211	24
4	609	24
5	1121	24
6	1532	24
7	1595	24
8	1612	24
9	1623	24
10	1625	24
11	1625	24
12	1625	24
0	1625	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Calls

Call 1

Inputs

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Outputs

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) J)

Symmetry

(abs U)

(abs K)

(negabs J)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Status

Accuracy

Program

▶

70.8%

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify48.0ms (0.5%)

Memory

-7.8MiB live, 33.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	110
0	28	110
1	44	110
2	87	110
3	211	110
4	609	110
5	1121	110
6	1532	110
7	1595	110
8	1612	110
9	1623	110
10	1625	110
11	1625	110
12	1625	110
0	1625	110

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) J)

Outputs
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) J)
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
U
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) J)

localize54.0ms (0.6%)

Memory

4.8MiB live, 81.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
accuracy	0.23503876953688405	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	6.85715488308563	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
accuracy	11.758756006690449	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))

Samples

43.0ms

256×

valid

Compiler

Compiled 222 to 36 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 14.0ms (43.7% of total)

ival-cos: 6.0ms (18.7% of total)

ival-div: 5.0ms (15.6% of total)

ival-sqrt: 3.0ms (9.4% of total)

ival-pow2: 2.0ms (6.2% of total)

ival-add: 1.0ms (3.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series55.0ms (0.6%)

Memory

2.0MiB live, 82.7MiB allocated

Counts

7 → 65

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))

Outputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 1/2 (/ U J))
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(cos (* 1/2 K))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	J	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))))
10.0ms	K	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))))
7.0ms	K	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))))
6.0ms	K	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))))
6.0ms	J	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))))

simplify182.0ms (1.9%)

Memory

11.5MiB live, 247.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	389	2612
1	1271	2494
2	5093	2348
0	8570	2206

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 1/2 (/ U J))
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(cos (* 1/2 K))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))

Outputs
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (.f64 J J) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64))) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 J J) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (/.f64 U J) #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J J) U) (/.f64 (.f64 #s(literal 1/2 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 J) J) (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)) (.f64 J J) (/.f64 (.f64 #s(literal 1/2 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(/.f64 (fma.f64 (pow.f64 J #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (.f64 J J) (pow.f64 U #s(literal 5 binary64)))) #s(literal 2 binary64) (neg.f64 (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64)))) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J J) U) (/.f64 (.f64 #s(literal 1/2 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 J J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 J J)) (/.f64 (/.f64 (.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) J)
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) U) (.f64 J J)) (/.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 (/.f64 (.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))) J)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 J J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(.f64 (neg.f64 J) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 J J)) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(.f64 (neg.f64 J) (fma.f64 #s(literal 1/512 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 J J)) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))) #s(literal -2 binary64))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 K K) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) J) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (pow.f64 U #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (.f64 #s(literal -1/256 binary64) (/.f64 (.f64 U U) J))) (.f64 (.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) (.f64 K K)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
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(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 K K) (.f64 #s(literal -2 binary64) J))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(fma.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)) (.f64 (pow.f64 K #s(literal 4 binary64)) (.f64 J (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64)))))
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(fma.f64 (.f64 (.f64 K K) (.f64 (/.f64 #s(literal 1/32 binary64) J) (/.f64 (.f64 U U) J))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 K K)) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (pow.f64 U #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (.f64 (/.f64 #s(literal 1/32 binary64) J) (/.f64 (.f64 U U) J)))) (.f64 K K) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/32 binary64) J) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))) (/.f64 (.f64 U U) J)) (.f64 (.f64 (.f64 K K) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/32 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (.f64 (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (pow.f64 U #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (.f64 (/.f64 U J) (/.f64 U J))) (.f64 (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal -17/2880 binary64)) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (pow.f64 U #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))))))) (.f64 K K) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64)) (.f64 K K)) K) K (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(fma.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 K #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 K K) #s(literal -1/4 binary64)) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal -17/2880 binary64)) (.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64)))))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(.f64 (/.f64 U J) (fma.f64 (.f64 K K) #s(literal 1/16 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 U J) #s(literal 5/768 binary64)) K) K (.f64 (/.f64 U J) #s(literal 1/16 binary64))) (.f64 K K) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(fma.f64 (/.f64 U J) (fma.f64 (.f64 K K) #s(literal 1/16 binary64) #s(literal 1/2 binary64)) (.f64 (pow.f64 K #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 U J) #s(literal -61/46080 binary64))) (.f64 K K) (.f64 (/.f64 U J) #s(literal 5/768 binary64)))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -2 binary64))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/64 binary64) U) (pow.f64 J #s(literal 3 binary64))) (/.f64 U (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 U (/.f64 U (pow.f64 J #s(literal 5 binary64)))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal 3 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(fma.f64 (fma.f64 (/.f64 (.f64 U (/.f64 U (pow.f64 J #s(literal 4 binary64)))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (*.f64 U U) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/1024 binary64) U) (pow.f64 J #s(literal 6 binary64))) (/.f64 U (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (/.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) (pow.f64 U #s(literal 4 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64))) U)
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal -4 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)))) U)
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U)
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(.f64 (-.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) U)
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (neg.f64 (pow.f64 U #s(literal 4 binary64)))) (pow.f64 J #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) U)
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64))) (neg.f64 U))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal -4 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)))) (neg.f64 U))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (neg.f64 U))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(.f64 (-.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) (neg.f64 U))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (neg.f64 (pow.f64 U #s(literal 4 binary64)))) (pow.f64 J #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (neg.f64 U))

rewrite191.0ms (2%)

Memory

-14.6MiB live, 223.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
0	28	76
1	79	76
2	432	76
3	4372	76
0	8150	76

Stop Event

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

Counts

7 → 403

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))

Outputs
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(.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))))) (*.f64 #s(literal 2 binary64) J))
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(/.f64 (.f64 (/.f64 U J) (pow.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 U #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal -1 binary64))) J)
(/.f64 (.f64 (neg.f64 U) (pow.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal -1 binary64))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J))
(/.f64 (.f64 (/.f64 U (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) J))
(/.f64 (.f64 (.f64 U #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J))
(/.f64 (.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 U (cos.f64 (.f64 K #s(literal -1/2 binary64))))) (*.f64 #s(literal 2 binary64) J))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) #s(literal -2 binary64))) (neg.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 U #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J))
(/.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal -1 binary64)) U) (*.f64 #s(literal 2 binary64) J))
(/.f64 (/.f64 (neg.f64 U) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal -2 binary64))) J)
(/.f64 (/.f64 (neg.f64 U) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64))) J)
(/.f64 (/.f64 (neg.f64 U) J) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal -2 binary64)))
(/.f64 (/.f64 (neg.f64 U) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) #s(literal -2 binary64))
(/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) #s(literal 2 binary64))
(/.f64 (/.f64 (neg.f64 U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (.f64 J #s(literal -2 binary64)))
(/.f64 (/.f64 (neg.f64 U) #s(literal 2 binary64)) (.f64 (neg.f64 J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (/.f64 U (cos.f64 (.f64 K #s(literal -1/2 binary64))))) (.f64 J #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 U #s(literal 1/2 binary64))) (.f64 (neg.f64 J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(/.f64 (exp.f64 (log.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)))) (exp.f64 (log.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))))))
(/.f64 (exp.f64 (log.f64 (neg.f64 U))) (exp.f64 (log.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))))
(/.f64 (exp.f64 (log.f64 U)) (exp.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))))
(/.f64 (/.f64 U J) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (/.f64 U (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (.f64 #s(literal 2 binary64) J))
(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J))
(/.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U))
(/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) J) U))
(/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (neg.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 J U))))
(/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (neg.f64 (neg.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))))))
(/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal -1/2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (pow.f64 U #s(literal -1 binary64)))
(/.f64 (neg.f64 U) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)))
(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) J) (/.f64 U (cos.f64 (.f64 K #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (*.f64 U #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(neg.f64 (.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #s(literal -1 binary64) (.f64 (log.f64 U) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #s(literal 1 binary64) (.f64 (log.f64 U) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 U) #s(literal 1 binary64) (.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 U) #s(literal 1 binary64) (.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #s(literal 1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal -1/2 binary64))))))

eval80.0ms (0.8%)

Memory: 29.8MiB live, 140.3MiB allocated
Compiler: Compiled 16 194 to 2 387 computations (85.3% saved)

prune39.0ms (0.4%)

Memory

-30.3MiB live, 53.0MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	463	13	476
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	464	13	477

Accuracy

99.9%

Counts

477 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.9%	(/.f64 (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)))))
	55.2%	(/.f64 (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -4 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64))))
▶	70.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
▶	70.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
	62.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
	51.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	36.7%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 K K) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	39.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
	50.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
▶	32.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))) #s(literal -2 binary64)))
▶	13.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
	43.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
▶	39.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 1 034 to 706 computations (31.7% saved)

simplify148.0ms (1.5%)

Memory

0.2MiB live, 206.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	320	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
cost-diff	0	(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U)))
cost-diff	0	(fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
cost-diff	128	(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
cost-diff	0	(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))) #s(literal -2 binary64))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))) #s(literal -2 binary64)))
cost-diff	0	(neg.f64 U)
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
cost-diff	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	732
0	123	732
1	207	730
2	481	730
3	1435	730
4	3387	730
5	5402	730
0	8426	728

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) J) U)
(*.f64 #s(literal 2 binary64) J)
U
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
U
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))) #s(literal -2 binary64)))
(.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
#s(literal -1/8 binary64)
(*.f64 K K)
K
#s(literal 1 binary64)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J)
(sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/4 binary64) U) J)
(*.f64 #s(literal 1/4 binary64) U)
#s(literal 1/4 binary64)
U
J
(/.f64 U J)
(.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64)))
(.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))
(/.f64 (*.f64 U U) J)
(*.f64 U U)
#s(literal 1/32 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))
#s(literal -2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
(fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U)))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
#s(literal 2 binary64)
(*.f64 (/.f64 J U) (/.f64 J U))
(/.f64 J U)
J
U
#s(literal -2 binary64)
#s(literal -1 binary64)
(neg.f64 U)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(/.f64 (/.f64 U J) #s(literal -2 binary64))
(/.f64 U J)
U
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal -1 binary64)

Outputs
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))
(+.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64))
(pow.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(/.f64 (*.f64 #s(literal 2 binary64) J) U)
(*.f64 (/.f64 #s(literal 2 binary64) U) J)
(*.f64 #s(literal 2 binary64) J)
U
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 K #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
U
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J) (sqrt.f64 (fma.f64 (/.f64 U J) (/.f64 (.f64 #s(literal 1/4 binary64) U) J) #s(literal 1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) (/.f64 (.f64 #s(literal 1/4 binary64) U) J) #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 K K) J) (.f64 #s(literal 1/32 binary64) (.f64 U U))))) #s(literal -2 binary64)))
(.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))) #s(literal -2 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J) (sqrt.f64 (fma.f64 (/.f64 U J) (/.f64 (.f64 #s(literal 1/4 binary64) U) J) #s(literal 1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) (/.f64 (.f64 #s(literal 1/4 binary64) U) J) #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 K K) J) (.f64 #s(literal 1/32 binary64) (.f64 U U))))) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))))
(fma.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J) (sqrt.f64 (fma.f64 (/.f64 U J) (/.f64 (.f64 #s(literal 1/4 binary64) U) J) #s(literal 1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) (/.f64 (.f64 #s(literal 1/4 binary64) U) J) #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 K K) J) (.f64 #s(literal 1/32 binary64) (*.f64 U U)))))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
#s(literal -1/8 binary64)
(*.f64 K K)
K
#s(literal 1 binary64)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J)
(.f64 (sqrt.f64 (fma.f64 (/.f64 U J) (/.f64 (.f64 #s(literal 1/4 binary64) U) J) #s(literal 1 binary64))) J)
(sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 U J) (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))
(fma.f64 (/.f64 U J) (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/4 binary64) U) J)
(*.f64 #s(literal 1/4 binary64) U)
#s(literal 1/4 binary64)
U
J
(/.f64 U J)
(.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) (/.f64 (.f64 #s(literal 1/4 binary64) U) J) #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 K K) J) (.f64 #s(literal 1/32 binary64) (.f64 U U))))
(.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64)))
(.f64 (/.f64 (.f64 K K) J) (.f64 #s(literal 1/32 binary64) (.f64 U U)))
(.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))
(.f64 #s(literal 1/32 binary64) (.f64 (/.f64 U J) U))
(/.f64 (*.f64 U U) J)
(*.f64 (/.f64 U J) U)
(*.f64 U U)
#s(literal 1/32 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) #s(literal 1 binary64)))
#s(literal -2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (/.f64 J U) U)) J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1 binary64)) U))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (/.f64 J U) U)) J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (/.f64 J U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal -1 binary64))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U)))
(.f64 (.f64 (/.f64 (/.f64 J U) U) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
#s(literal 2 binary64)
(*.f64 (/.f64 J U) (/.f64 J U))
(*.f64 (/.f64 (/.f64 J U) U) J)
(/.f64 J U)
J
U
#s(literal -2 binary64)
#s(literal -1 binary64)
(neg.f64 U)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(/.f64 (/.f64 U J) #s(literal -2 binary64))
(/.f64 U J)
U
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 K #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
#s(literal -1 binary64)

localize388.0ms (4.1%)

Memory

8.5MiB live, 285.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.140625	(/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
accuracy	0.23503876953688405	(pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64))
accuracy	6.85715488308563	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
accuracy	12.057651622207727	(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy	0.2265625	(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
accuracy	0.23275375976844204	(*.f64 (/.f64 J U) (/.f64 J U))
accuracy	2.8488132063184275	(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
accuracy	55.2097306482961	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
accuracy	12.056107754327282	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))
accuracy	14.39837381981453	(.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64)))
accuracy	16.088592399161143	(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))))
accuracy	26.201069643136975	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))) #s(literal -2 binary64)))
accuracy	0.0	(neg.f64 U)
accuracy	38.526651195395395	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy	0.09994125976844202	(.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
accuracy	0.19597626953688405	(pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64))
accuracy	6.85715488308563	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
accuracy	11.758756006690449	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64))))

Samples

179.0ms	58×	1	valid
99.0ms	198×	0	valid

Compiler

Compiled 1 411 to 147 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 241.0ms

ival-div: 85.0ms (35.2% of total)

ival-mult: 60.0ms (24.9% of total)

ival-add: 38.0ms (15.7% of total)

ival-cos: 21.0ms (8.7% of total)

ival-sqrt: 12.0ms (5% of total)

ival-pow2: 9.0ms (3.7% of total)

adjust: 7.0ms (2.9% of total)

ival-pow: 6.0ms (2.5% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series175.0ms (1.8%)

Memory

-12.8MiB live, 141.6MiB allocated

Counts

25 → 206

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))) #s(literal -2 binary64)))
(.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
(fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64))))
(pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))
(*.f64 (/.f64 J U) (/.f64 J U))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))

Outputs
(* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 5))) (* 2 (/ (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K))) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2)))))))
(+ (* -2 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))) (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))))
(+ (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3)))))) (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))))
(+ (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))) (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -5/4 (/ (pow K 2) (pow U 5))) (* 2 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 5)))))) (* -2 (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3))))))))))
(+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3))))) (/ 1 U))))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (+ (* 3/8 (/ (pow K 2) (pow U 3))) (* (pow J 2) (+ (* -5/4 (/ (pow K 2) (pow U 5))) (* 2 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 5)))))))) (/ 1 U))))))
U
(+ U (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)))
-1
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (/ (* (pow J 2) (cos (* -1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))) (/ (cos (* -1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 5)) (pow U 5))))) (/ (cos (* -1/2 K)) U)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* 1/32 (/ (* (pow K 2) (pow U 2)) J))
(* 2 (/ J U))
(* J (+ (* -4 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U))))
(* J (+ (* (pow J 2) (- (* 12 (/ (pow J 2) (pow U 5))) (* 4 (/ 1 (pow U 3))))) (* 2 (/ 1 U))))
(* J (+ (* (pow J 2) (- (* (pow J 2) (+ (* -40 (/ (pow J 2) (pow U 7))) (* 12 (/ 1 (pow U 5))))) (* 4 (/ 1 (pow U 3))))) (* 2 (/ 1 U))))
(/ (pow J 2) (pow U 2))
(* J (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))) (* 2 (/ (cos (* -1/2 K)) U))))
(* J (+ (* 2 (/ (cos (* -1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* -1/4 (/ (* (pow J 2) (* U (+ (* -64 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 16 (/ (pow (cos (* -1/2 K)) 6) (pow U 6)))))) (cos (* -1/2 K))))))))
(* J (+ (* 2 (/ (cos (* -1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* (pow J 2) (+ (* -1/4 (/ (* U (+ (* -64 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 16 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))))) (cos (* -1/2 K)))) (* -1/4 (/ (* (pow J 2) (* U (+ (* 2 (/ (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 16 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))))) (pow U 2))) (* 256 (/ (pow (cos (* -1/2 K)) 8) (pow U 8)))))) (cos (* -1/2 K))))))))))
(* -1/2 (/ U (* J (cos (* -1/2 K)))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (+ 1 (* -1/8 (pow K 2)))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (* -2 (/ (+ (* 1/32 (* (pow K 2) (pow U 2))) (* 1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))))) (pow J 2)))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -2 (/ (+ (* -1/128 (* (pow U 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/256 (* (pow K 2) (pow U 4)))) (pow J 4))) (* -2 (/ (+ (* 1/32 (* (pow K 2) (pow U 2))) (* 1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))))) (pow J 2))))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -2 (/ (+ (* -1/64 (* (pow K 2) (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4)))))) (* 1/1024 (* (pow U 6) (+ 1 (* -1/8 (pow K 2)))))) (pow J 6))) (+ (* -2 (/ (+ (* -1/128 (* (pow U 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/256 (* (pow K 2) (pow U 4)))) (pow J 4))) (* -2 (/ (+ (* 1/32 (* (pow K 2) (pow U 2))) (* 1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))))) (pow J 2)))))))
(* J (+ 1 (* -1/8 (pow K 2))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/8 (/ (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))) (pow J 2)))))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* -1/128 (/ (* (pow U 4) (+ 1 (* -1/8 (pow K 2)))) (pow J 4))) (+ (* -1/256 (/ (* (pow K 2) (pow U 4)) (pow J 4))) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/8 (/ (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))) (pow J 2)))))))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* -1/64 (/ (* (pow K 2) (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))) (pow J 6))) (+ (* -1/128 (/ (* (pow U 4) (+ 1 (* -1/8 (pow K 2)))) (pow J 4))) (+ (* -1/256 (/ (* (pow K 2) (pow U 4)) (pow J 4))) (+ (* 1/1024 (/ (* (pow U 6) (+ 1 (* -1/8 (pow K 2)))) (pow J 6))) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/8 (/ (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))) (pow J 2)))))))))))
(* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
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(+ (* J (+ 1 (* -1/8 (pow K 2)))) (* (pow U 2) (+ (* 1/32 (/ (pow K 2) J)) (* 1/8 (/ (+ 1 (* -1/8 (pow K 2))) J)))))
(+ (* J (+ 1 (* -1/8 (pow K 2)))) (* (pow U 2) (+ (* 1/32 (/ (pow K 2) J)) (+ (* 1/8 (/ (+ 1 (* -1/8 (pow K 2))) J)) (* (pow U 2) (+ (* -1/128 (/ (+ 1 (* -1/8 (pow K 2))) (pow J 3))) (* -1/256 (/ (pow K 2) (pow J 3)))))))))
(+ (* J (+ 1 (* -1/8 (pow K 2)))) (* (pow U 2) (+ (* 1/32 (/ (pow K 2) J)) (+ (* 1/8 (/ (+ 1 (* -1/8 (pow K 2))) J)) (* (pow U 2) (+ (* -1/128 (/ (+ 1 (* -1/8 (pow K 2))) (pow J 3))) (+ (* -1/256 (/ (pow K 2) (pow J 3))) (* (pow U 2) (+ (* 3/4096 (/ (pow K 2) (pow J 5))) (* 1/1024 (/ (+ 1 (* -1/8 (pow K 2))) (pow J 5))))))))))))
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (- (* 3/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (- (* (pow U 2) (+ (* -5/1024 (/ (pow U 2) (pow J 6))) (* 3/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (- (* 3/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (- (* (pow U 2) (+ (* -5/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 3/128 (/ 1 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* -2 (* U (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))))
(* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2)))))
(* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (+ (* -2 (/ (+ (* -1 (* (pow J 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (pow J 2)))) (pow U 4))) (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2))))))
(* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (+ (* -2 (/ (+ (* -1 (* (pow J 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (pow J 2)))) (pow U 4))) (+ (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2))) (* -2 (/ (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (pow J 2))) (* 2 (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))))) (pow U 6)))))))
(* U (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2))))))
(* U (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2))))))
(* U (+ (* -1 (/ (* (pow J 4) (+ 1 (* -1/8 (pow K 2)))) (pow U 4))) (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (* (pow J 2) (pow U 4)))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2))))))))
(* U (+ (* -1 (/ (* (pow J 4) (+ 1 (* -1/8 (pow K 2)))) (pow U 4))) (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (* (pow J 2) (pow U 4)))) (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (* (pow J 2) (pow U 6)))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (+ (* 2 (/ (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))) (pow U 6))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2))))))))))
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(/ (+ (* -4 (/ (pow J 3) (pow U 2))) (* 2 J)) U)
(/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (* 2 J))) U)
(/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* J (pow U 6)))) (* 2 J)))) U)
(/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (* 2 (* J (cos (* -1/2 K))))) U)
(/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K)))))) U)
(/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))) (* 256 (* (pow J 8) (pow (cos (* -1/2 K)) 8)))) (* J (* (pow U 6) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K))))))) U)
(/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* 2 (* U (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))))
(* -1 (* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2))))))
(* -1 (* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (+ (* -2 (/ (+ (* -1 (* (pow J 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (pow J 2)))) (pow U 4))) (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2)))))))
(* -1 (* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (+ (* -2 (/ (+ (* -1 (* (pow J 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (pow J 2)))) (pow U 4))) (+ (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2))) (* -2 (/ (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (pow J 2))) (* 2 (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))))) (pow U 6))))))))
(* -1 (* U (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))))
(* -1 (* U (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2)))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 4) (+ 1 (* -1/8 (pow K 2)))) (pow U 4))) (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (* (pow J 2) (pow U 4)))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2)))))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 4) (+ 1 (* -1/8 (pow K 2)))) (pow U 4))) (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (* (pow J 2) (pow U 4)))) (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (* (pow J 2) (pow U 6)))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (+ (* 2 (/ (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))) (pow U 6))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2)))))))))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))))
(* -2 (/ J U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (* 2 J)) U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (* 2 J))) U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* J (pow U 6)))) (* 2 J)))) U))
(* -2 (/ (* J (cos (* -1/2 K))) U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (* 2 (* J (cos (* -1/2 K))))) U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K)))))) U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))) (* 256 (* (pow J 8) (pow (cos (* -1/2 K)) 8)))) (* J (* (pow U 6) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K))))))) U))

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	J	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+ (* -1/8 (* K K)) 1) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))) (* (/ J U) (/ J U)) (pow (cos (* 1/2 K)) 2) (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) (/ (/ (/ U J) -2) (cos (* K -1/2))))
29.0ms	U	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+ (* -1/8 (* K K)) 1) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))) (* (/ J U) (/ J U)) (pow (cos (* 1/2 K)) 2) (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) (/ (/ (/ U J) -2) (cos (* K -1/2))))
25.0ms	U	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+ (* -1/8 (* K K)) 1) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))) (* (/ J U) (/ J U)) (pow (cos (* 1/2 K)) 2) (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) (/ (/ (/ U J) -2) (cos (* K -1/2))))
22.0ms	K	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+ (* -1/8 (* K K)) 1) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))) (* (/ J U) (/ J U)) (pow (cos (* 1/2 K)) 2) (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) (/ (/ (/ U J) -2) (cos (* K -1/2))))
11.0ms	J	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+ (* -1/8 (* K K)) 1) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))) (* (/ J U) (/ J U)) (pow (cos (* 1/2 K)) 2) (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) (/ (/ (/ U J) -2) (cos (* K -1/2))))

simplify220.0ms (2.3%)

Memory

-8.9MiB live, 174.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1168	9193
1	3972	9020
0	8074	8445

Stop Event

1×	iter limit
1×	node limit

Counts

206 → 205

Calls

Call 1

Inputs
(* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 5))) (* 2 (/ (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K))) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2)))))))
(+ (* -2 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))) (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))))
(+ (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3)))))) (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))))
(+ (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))) (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -5/4 (/ (pow K 2) (pow U 5))) (* 2 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 5)))))) (* -2 (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3))))))))))
(+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3))))) (/ 1 U))))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (+ (* 3/8 (/ (pow K 2) (pow U 3))) (* (pow J 2) (+ (* -5/4 (/ (pow K 2) (pow U 5))) (* 2 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 5)))))))) (/ 1 U))))))
U
(+ U (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)))
-1
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (/ (* (pow J 2) (cos (* -1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))) (/ (cos (* -1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 5)) (pow U 5))))) (/ (cos (* -1/2 K)) U)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* 1/32 (/ (* (pow K 2) (pow U 2)) J))
(* 2 (/ J U))
(* J (+ (* -4 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U))))
(* J (+ (* (pow J 2) (- (* 12 (/ (pow J 2) (pow U 5))) (* 4 (/ 1 (pow U 3))))) (* 2 (/ 1 U))))
(* J (+ (* (pow J 2) (- (* (pow J 2) (+ (* -40 (/ (pow J 2) (pow U 7))) (* 12 (/ 1 (pow U 5))))) (* 4 (/ 1 (pow U 3))))) (* 2 (/ 1 U))))
(/ (pow J 2) (pow U 2))
(* J (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))) (* 2 (/ (cos (* -1/2 K)) U))))
(* J (+ (* 2 (/ (cos (* -1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* -1/4 (/ (* (pow J 2) (* U (+ (* -64 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 16 (/ (pow (cos (* -1/2 K)) 6) (pow U 6)))))) (cos (* -1/2 K))))))))
(* J (+ (* 2 (/ (cos (* -1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* (pow J 2) (+ (* -1/4 (/ (* U (+ (* -64 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 16 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))))) (cos (* -1/2 K)))) (* -1/4 (/ (* (pow J 2) (* U (+ (* 2 (/ (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 16 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))))) (pow U 2))) (* 256 (/ (pow (cos (* -1/2 K)) 8) (pow U 8)))))) (cos (* -1/2 K))))))))))
(* -1/2 (/ U (* J (cos (* -1/2 K)))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (+ 1 (* -1/8 (pow K 2)))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (* -2 (/ (+ (* 1/32 (* (pow K 2) (pow U 2))) (* 1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))))) (pow J 2)))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -2 (/ (+ (* -1/128 (* (pow U 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/256 (* (pow K 2) (pow U 4)))) (pow J 4))) (* -2 (/ (+ (* 1/32 (* (pow K 2) (pow U 2))) (* 1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))))) (pow J 2))))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -2 (/ (+ (* -1/64 (* (pow K 2) (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4)))))) (* 1/1024 (* (pow U 6) (+ 1 (* -1/8 (pow K 2)))))) (pow J 6))) (+ (* -2 (/ (+ (* -1/128 (* (pow U 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/256 (* (pow K 2) (pow U 4)))) (pow J 4))) (* -2 (/ (+ (* 1/32 (* (pow K 2) (pow U 2))) (* 1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))))) (pow J 2)))))))
(* J (+ 1 (* -1/8 (pow K 2))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/8 (/ (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))) (pow J 2)))))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* -1/128 (/ (* (pow U 4) (+ 1 (* -1/8 (pow K 2)))) (pow J 4))) (+ (* -1/256 (/ (* (pow K 2) (pow U 4)) (pow J 4))) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/8 (/ (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))) (pow J 2)))))))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* -1/64 (/ (* (pow K 2) (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))) (pow J 6))) (+ (* -1/128 (/ (* (pow U 4) (+ 1 (* -1/8 (pow K 2)))) (pow J 4))) (+ (* -1/256 (/ (* (pow K 2) (pow U 4)) (pow J 4))) (+ (* 1/1024 (/ (* (pow U 6) (+ 1 (* -1/8 (pow K 2)))) (pow J 6))) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/8 (/ (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))) (pow J 2)))))))))))
(* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* -1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))) (pow J 4))) (* -1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/64 (pow U 6)) (* 1/8 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4)))))) (pow J 6))) (* -1/8 (/ (pow U 2) (pow J 2))))))
(+ 1 (* -1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (/ (pow U 4) (pow (cos (* -1/2 K)) 4))) (* 1/64 (/ (pow U 4) (pow (cos (* -1/2 K)) 4)))) (pow J 4))) (* -1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (/ (pow U 4) (pow (cos (* -1/2 K)) 4))) (* 1/64 (/ (pow U 4) (pow (cos (* -1/2 K)) 4)))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/64 (/ (pow U 6) (pow (cos (* -1/2 K)) 6))) (* 1/8 (/ (* (pow U 2) (+ (* -1/16 (/ (pow U 4) (pow (cos (* -1/2 K)) 4))) (* 1/64 (/ (pow U 4) (pow (cos (* -1/2 K)) 4))))) (pow (cos (* -1/2 K)) 2)))) (pow J 6))) (* -1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -1 (* J (+ (* -2 (/ (+ (* -1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2))))) (* -1/32 (* (pow K 2) (pow U 2)))) (pow J 2))) (* 2 (+ 1 (* -1/8 (pow K 2)))))))
(* -1 (* J (+ (* -2 (/ (+ (* -1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2))))) (* -1/32 (* (pow K 2) (pow U 2)))) (pow J 2))) (+ (* -2 (/ (+ (* 1/256 (* (pow K 2) (pow U 4))) (* 1/128 (* (pow U 4) (+ 1 (* -1/8 (pow K 2)))))) (pow J 4))) (* 2 (+ 1 (* -1/8 (pow K 2))))))))
(* -1 (* J (+ (* -2 (/ (+ (* -1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2))))) (* -1/32 (* (pow K 2) (pow U 2)))) (pow J 2))) (+ (* -2 (/ (+ (* -1/1024 (* (pow U 6) (+ 1 (* -1/8 (pow K 2))))) (* 1/64 (* (pow K 2) (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))))) (pow J 6))) (+ (* -2 (/ (+ (* 1/256 (* (pow K 2) (pow U 4))) (* 1/128 (* (pow U 4) (+ 1 (* -1/8 (pow K 2)))))) (pow J 4))) (* 2 (+ 1 (* -1/8 (pow K 2)))))))))
(* -1 (* J (+ (* -1 (+ 1 (* -1/8 (pow K 2)))) (+ (* -1/8 (/ (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))) (pow J 2))) (* -1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2)))))))
(* -1 (* J (+ (* -1 (+ 1 (* -1/8 (pow K 2)))) (+ (* -1/8 (/ (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))) (pow J 2))) (+ (* -1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/256 (/ (* (pow K 2) (pow U 4)) (pow J 4))) (* 1/128 (/ (* (pow U 4) (+ 1 (* -1/8 (pow K 2)))) (pow J 4)))))))))
(* -1 (* J (+ (* -1 (+ 1 (* -1/8 (pow K 2)))) (+ (* -1/8 (/ (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))) (pow J 2))) (+ (* -1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* -1/1024 (/ (* (pow U 6) (+ 1 (* -1/8 (pow K 2)))) (pow J 6))) (+ (* 1/256 (/ (* (pow K 2) (pow U 4)) (pow J 4))) (+ (* 1/128 (/ (* (pow U 4) (+ 1 (* -1/8 (pow K 2)))) (pow J 4))) (* 1/64 (/ (* (pow K 2) (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))) (pow J 6)))))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(/ (+ (* -4 (/ (pow J 3) (pow U 2))) (* 2 J)) U)
(/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (* 2 J))) U)
(/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* J (pow U 6)))) (* 2 J)))) U)
(/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (* 2 (* J (cos (* -1/2 K))))) U)
(/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K)))))) U)
(/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))) (* 256 (* (pow J 8) (pow (cos (* -1/2 K)) 8)))) (* J (* (pow U 6) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K))))))) U)
(/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* 2 (* U (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))))
(* -1 (* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2))))))
(* -1 (* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (+ (* -2 (/ (+ (* -1 (* (pow J 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (pow J 2)))) (pow U 4))) (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2)))))))
(* -1 (* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (+ (* -2 (/ (+ (* -1 (* (pow J 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (pow J 2)))) (pow U 4))) (+ (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2))) (* -2 (/ (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (pow J 2))) (* 2 (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))))) (pow U 6))))))))
(* -1 (* U (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))))
(* -1 (* U (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2)))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 4) (+ 1 (* -1/8 (pow K 2)))) (pow U 4))) (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (* (pow J 2) (pow U 4)))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2)))))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 4) (+ 1 (* -1/8 (pow K 2)))) (pow U 4))) (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (* (pow J 2) (pow U 4)))) (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (* (pow J 2) (pow U 6)))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (+ (* 2 (/ (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))) (pow U 6))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2)))))))))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))))
(* -2 (/ J U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (* 2 J)) U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (* 2 J))) U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* J (pow U 6)))) (* 2 J)))) U))
(* -2 (/ (* J (cos (* -1/2 K))) U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (* 2 (* J (cos (* -1/2 K))))) U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K)))))) U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))) (* 256 (* (pow J 8) (pow (cos (* -1/2 K)) 8)))) (* J (* (pow U 6) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K))))))) U))

Outputs
(* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K))))
(.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U) #s(literal -2 binary64) (.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 J J) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 3 binary64))))) #s(literal 2 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)) #s(literal -2 binary64))) (.f64 J J) (.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 5))) (* 2 (/ (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K))) (pow U 3))))))))
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(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -2 binary64) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64)))) #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (.f64 J J) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64)))) #s(literal -4 binary64) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 J J) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U))
(* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2)))))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) U) #s(literal 1/16 binary64))) #s(literal -2 binary64))
(+ (* -2 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))) (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))))
(.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (.f64 J J) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) U) #s(literal 1/16 binary64)))))
(+ (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3)))))) (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 K K) (pow.f64 U #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) (pow.f64 U #s(literal 3 binary64)))) (.f64 J J) (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)))) (.f64 J J) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) U) #s(literal 1/16 binary64))) #s(literal -2 binary64)))
(+ (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))) (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -5/4 (/ (pow K 2) (pow U 5))) (* 2 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 5)))))) (* -2 (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (pow.f64 U #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (.f64 #s(literal -5/4 binary64) (.f64 K K)) (pow.f64 U #s(literal 5 binary64)))) (.f64 J J) (fma.f64 (/.f64 (.f64 K K) (pow.f64 U #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) (pow.f64 U #s(literal 3 binary64)))))) (.f64 J J) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) #s(literal -2 binary64))) (.f64 J J) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64))) #s(literal -2 binary64)))
(+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))))
(fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3))))) (/ 1 U))))))
(fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 K K) (pow.f64 U #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) (pow.f64 U #s(literal 3 binary64)))) (.f64 J J) (/.f64 #s(literal 1 binary64) U))) (.f64 J J))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (+ (* 3/8 (/ (pow K 2) (pow U 3))) (* (pow J 2) (+ (* -5/4 (/ (pow K 2) (pow U 5))) (* 2 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 5)))))))) (/ 1 U))))))
(fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (pow.f64 U #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (.f64 #s(literal -5/4 binary64) (.f64 K K)) (pow.f64 U #s(literal 5 binary64)))) (.f64 J J) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 K K)) (pow.f64 U #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (pow.f64 U #s(literal 3 binary64)))) (.f64 J J) (/.f64 #s(literal 1 binary64) U))) (*.f64 J J))))
U
(+ U (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)))
(fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal 2 binary64) U)
-1
#s(literal -1 binary64)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(fma.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) U) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -1 binary64))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(.f64 (/.f64 (.f64 J J) U) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
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(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -2 (/ (+ (* -1/128 (* (pow U 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/256 (* (pow K 2) (pow U 4)))) (pow J 4))) (* -2 (/ (+ (* 1/32 (* (pow K 2) (pow U 2))) (* 1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))))) (pow J 2))))))
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(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -2 (/ (+ (* -1/64 (* (pow K 2) (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4)))))) (* 1/1024 (* (pow U 6) (+ 1 (* -1/8 (pow K 2)))))) (pow J 6))) (+ (* -2 (/ (+ (* -1/128 (* (pow U 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/256 (* (pow K 2) (pow U 4)))) (pow J 4))) (* -2 (/ (+ (* 1/32 (* (pow K 2) (pow U 2))) (* 1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))))) (pow J 2)))))))
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(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* -1/128 (/ (* (pow U 4) (+ 1 (* -1/8 (pow K 2)))) (pow J 4))) (+ (* -1/256 (/ (* (pow K 2) (pow U 4)) (pow J 4))) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/8 (/ (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))) (pow J 2)))))))))
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(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* -1/64 (/ (* (pow K 2) (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))) (pow J 6))) (+ (* -1/128 (/ (* (pow U 4) (+ 1 (* -1/8 (pow K 2)))) (pow J 4))) (+ (* -1/256 (/ (* (pow K 2) (pow U 4)) (pow J 4))) (+ (* 1/1024 (/ (* (pow U 6) (+ 1 (* -1/8 (pow K 2)))) (pow J 6))) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/8 (/ (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))) (pow J 2)))))))))))
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(* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
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(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
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(* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2)))))
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(* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (+ (* -2 (/ (+ (* -1 (* (pow J 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (pow J 2)))) (pow U 4))) (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2))))))
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(* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (+ (* -2 (/ (+ (* -1 (* (pow J 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (pow J 2)))) (pow U 4))) (+ (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2))) (* -2 (/ (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (pow J 2))) (* 2 (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))))) (pow U 6)))))))
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(* U (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2))))))
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(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 J J)) U) (/.f64 (.f64 K K) U) (fma.f64 (.f64 K K) #s(literal 1/16 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) (/.f64 (.f64 J J) U) (.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (neg.f64 U))
(* -1 (* U (+ (* -1 (/ (* (pow J 4) (+ 1 (* -1/8 (pow K 2)))) (pow U 4))) (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (* (pow J 2) (pow U 4)))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2)))))))))
(.f64 (fma.f64 (neg.f64 (pow.f64 J #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 J J)) U) (/.f64 (.f64 K K) U) (fma.f64 (/.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (.f64 (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) J) (/.f64 (.f64 K K) J)) (fma.f64 (.f64 K K) #s(literal 1/16 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) (/.f64 (.f64 J J) U) (.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (neg.f64 U))
(* -1 (* U (+ (* -1 (/ (* (pow J 4) (+ 1 (* -1/8 (pow K 2)))) (pow U 4))) (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (* (pow J 2) (pow U 4)))) (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (* (pow J 2) (pow U 6)))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (+ (* 2 (/ (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))) (pow U 6))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2)))))))))))
(.f64 (fma.f64 (neg.f64 (pow.f64 J #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 J J)) U) (/.f64 (.f64 K K) U) (fma.f64 #s(literal -1/128 binary64) (fma.f64 (.f64 K K) (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) (.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 J J))) (/.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) (.f64 (pow.f64 J #s(literal 8 binary64)) #s(literal 256 binary64))) (.f64 K K)) (.f64 J J)) (pow.f64 U #s(literal 6 binary64)))) (fma.f64 (.f64 K K) #s(literal 1/16 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) (/.f64 (.f64 J J) U) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 6 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (pow.f64 U #s(literal 6 binary64))))))))) (neg.f64 U))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (neg.f64 U))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(.f64 (fma.f64 (neg.f64 (pow.f64 J #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)))) (neg.f64 U))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))))
(.f64 (fma.f64 (neg.f64 (pow.f64 J #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (.f64 (pow.f64 J #s(literal 5 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))))) (neg.f64 U))
(* -2 (/ J U))
(*.f64 (/.f64 J U) #s(literal -2 binary64))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (* 2 J)) U))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) U) (/.f64 (pow.f64 J #s(literal 3 binary64)) U) (*.f64 #s(literal 2 binary64) J))) U)
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (* 2 J))) U))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) U) (/.f64 (pow.f64 J #s(literal 3 binary64)) U) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 U #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) J) (.f64 #s(literal 2 binary64) J)))) U)
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* J (pow U 6)))) (* 2 J)))) U))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) U) (/.f64 (pow.f64 J #s(literal 3 binary64)) U) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) J) (/.f64 #s(literal -48 binary64) (pow.f64 U #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) (.f64 (pow.f64 J #s(literal 8 binary64)) #s(literal 256 binary64))) (.f64 (pow.f64 U #s(literal 6 binary64)) J))) (.f64 #s(literal 2 binary64) J)))) U)
(* -2 (/ (* J (cos (* -1/2 K))) U))
(.f64 (.f64 J (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)) #s(literal -2 binary64))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (* 2 (* J (cos (* -1/2 K))))) U))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) U) (/.f64 (.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) U) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) U)
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K)))))) U))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) U) (/.f64 (.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) U) (fma.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64))) J) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) U)
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))) (* 256 (* (pow J 8) (pow (cos (* -1/2 K)) 8)))) (* J (* (pow U 6) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K))))))) U))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) U) (/.f64 (.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) U) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64))) (.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (/.f64 #s(literal -48 binary64) J) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (.f64 (.f64 (pow.f64 J #s(literal 8 binary64)) #s(literal 256 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 8 binary64)))) (.f64 (.f64 (pow.f64 U #s(literal 6 binary64)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) U)

rewrite320.0ms (3.4%)

Memory

-5.4MiB live, 181.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	475
0	123	460
1	397	445
2	2661	430
0	8528	419

Stop Event

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

Counts

25 → 613

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))) #s(literal -2 binary64)))
(.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
(fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64))))
(pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))
(*.f64 (/.f64 J U) (/.f64 J U))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))

Outputs
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64)))))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 J #s(literal -2 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(.f64 #s(literal -2 binary64) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 J (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
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(/.f64 (.f64 (/.f64 U J) (/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 #s(literal 1/2 binary64) (/.f64 U J))) (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(/.f64 (.f64 (/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 U J)) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal -2 binary64) (/.f64 J U))))
(/.f64 (.f64 (/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (/.f64 U J) #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 U J)) #s(literal 1 binary64)) (.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (/.f64 J U)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 U J)) (.f64 (/.f64 U J) #s(literal -1/2 binary64))) (.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 U J)) (/.f64 U J)) (.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 U J))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (/.f64 U J)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (/.f64 J U)))))
(/.f64 (.f64 (/.f64 U J) (.f64 #s(literal 1/2 binary64) (/.f64 U J))) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (.f64 (/.f64 U J) (.f64 (/.f64 U J) #s(literal -1/2 binary64))) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(/.f64 (.f64 (/.f64 U J) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (/.f64 J U)))))
(/.f64 (pow.f64 (/.f64 J U) #s(literal -2 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 U J)) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal -2 binary64) (/.f64 J U))) (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (pow.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (/.f64 J U))))
(/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal -2 binary64) (/.f64 J U))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(/.f64 (/.f64 U J) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal -2 binary64) (/.f64 J U))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (/.f64 J U))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U))) #s(literal -1 binary64) (.f64 (log.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64) (.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64) (.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)))) (exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(.f64 (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (neg.f64 U) J)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) #s(literal -1 binary64)) (pow.f64 (*.f64 J #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(.f64 (pow.f64 (sqrt.f64 (/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 U (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 J #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(.f64 (/.f64 U (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 (pow.f64 J #s(literal -1 binary64)) #s(literal -2 binary64)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 U J)) (pow.f64 (pow.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 U J)) (pow.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)))
(.f64 (/.f64 U J) (pow.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64)))
(.f64 (/.f64 U J) (pow.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 U J) (pow.f64 (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 U J) (/.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(.f64 (/.f64 U J) (.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64))))
(.f64 (/.f64 U J) (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 U (pow.f64 (/.f64 (pow.f64 J #s(literal -1 binary64)) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 U (/.f64 (pow.f64 J #s(literal -1 binary64)) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(pow.f64 (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 J U)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 U J)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (/.f64 J U))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 J U)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -1 binary64))
(pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (/.f64 J U))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (/.f64 J U))) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 (/.f64 U J))) (exp.f64 (log.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)))))
(/.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (exp.f64 (log.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))
(/.f64 (exp.f64 (log.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)))) (exp.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))
(/.f64 (.f64 (/.f64 (neg.f64 U) J) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (.f64 U (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (.f64 (/.f64 (neg.f64 U) J) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(/.f64 (.f64 U #s(literal 1 binary64)) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(/.f64 (.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(/.f64 (.f64 (/.f64 U J) #s(literal 1 binary64)) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)))
(/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 J U)))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 U J)) (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(/.f64 (/.f64 (neg.f64 U) J) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (/.f64 (neg.f64 U) J) (neg.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))))
(/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (/.f64 J U)))))
(/.f64 (/.f64 U J) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)))
(/.f64 (neg.f64 U) (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) (neg.f64 J)))
(/.f64 U (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) J))
(/.f64 U (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 J U)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 U J)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (/.f64 J U))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (/.f64 J U)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (/.f64 J U))))
(neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(neg.f64 (/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal -2 binary64) (/.f64 J U)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))

eval206.0ms (2.2%)

Memory: 35.9MiB live, 156.4MiB allocated
Compiler: Compiled 44 691 to 4 192 computations (90.6% saved)

prune105.0ms (1.1%)

Memory

-1.5MiB live, 70.8MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	763	15	778
Fresh	5	3	8
Picked	4	1	5
Done	0	0	0
Total	772	19	791

Accuracy

100.0%

Counts

791 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.8%	(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
	53.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
	53.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (exp.f64 (log.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
▶	57.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
	62.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
	51.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	70.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
	50.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
	23.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))
	43.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
	25.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64))) (.f64 U U) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
	25.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) (fma.f64 (/.f64 #s(literal 1/32 binary64) J) (.f64 (.f64 K K) (/.f64 (.f64 U U) J)) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) J) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)))) J J)) #s(literal -2 binary64)))
▶	28.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64)))
▶	28.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))) #s(literal -2 binary64)))
	27.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
	37.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) J)) #s(literal -2 binary64)))
	13.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U)))
▶	13.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
✓	39.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 2 077 to 1 307 computations (37.1% saved)

simplify193.0ms (2%)

Memory

8.9MiB live, 131.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	320	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))) #s(literal -2 binary64)))
cost-diff	320	(fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J)))
cost-diff	704	(.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))
cost-diff	1728	(fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))
cost-diff	0	#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64))))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64)))
cost-diff	2048	(fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))
cost-diff	0	(neg.f64 U)
cost-diff	0	#s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
cost-diff	0	(/.f64 K #s(literal -2 binary64))
cost-diff	0	(cos.f64 (/.f64 K #s(literal -2 binary64)))
cost-diff	0	(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64)))
cost-diff	0	(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1042
0	161	1056
1	297	1042
2	665	1028
3	1728	974
4	3618	914
5	3882	914
6	5184	914
7	6076	914
8	7419	914
0	8001	893

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
(*.f64 J #s(literal -2 binary64))
J
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))
(.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(/.f64 J U)
U
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
(.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))
#s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 U)
U
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64)))
(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64))
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))
(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U)
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
#s(literal -1/8 binary64)
(*.f64 K K)
K
#s(literal 1 binary64)
U
#s(literal 1/2 binary64)
(.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64))
(.f64 (.f64 K K) U)
#s(literal 1/16 binary64)
#s(literal -2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))) #s(literal -2 binary64)))
(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))) #s(literal -2 binary64))
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J)))))
(fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))
(.f64 (.f64 K K) #s(literal 1/16 binary64))
(*.f64 K K)
K
#s(literal 1/16 binary64)
U
(fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J)))
(*.f64 #s(literal 1/2 binary64) U)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))
(fma.f64 (/.f64 (*.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U))
(/.f64 (*.f64 K K) U)
#s(literal -1/4 binary64)
(/.f64 #s(literal 1 binary64) U)
(*.f64 J J)
J
#s(literal -2 binary64)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))
#s(literal 1 binary64)
#s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))
(/.f64 #s(literal 1/4 binary64) J)
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) J)
(*.f64 U U)
U

Outputs
(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (pow.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
(*.f64 J #s(literal -2 binary64))
J
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))
(pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64))
(.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U))
(/.f64 J U)
U
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64))))
(.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))
(.f64 (neg.f64 U) #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 U)
U
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (*.f64 #s(literal 1/2 binary64) U)) #s(literal -2 binary64)))
(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64))
(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (*.f64 #s(literal 1/2 binary64) U)) #s(literal -2 binary64))
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64))))
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (*.f64 #s(literal 1/2 binary64) U))
(fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))
(*.f64 #s(literal 1/2 binary64) U)
(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U)
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
#s(literal -1/8 binary64)
(*.f64 K K)
K
#s(literal 1 binary64)
U
#s(literal 1/2 binary64)
(.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64))
(.f64 (.f64 #s(literal 1/16 binary64) (*.f64 K K)) U)
(.f64 (.f64 K K) U)
#s(literal 1/16 binary64)
#s(literal -2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) K) K #s(literal 1 binary64)) (.f64 (/.f64 J U) J) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))) #s(literal -2 binary64))
(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) K) K #s(literal 1 binary64)) (.f64 (/.f64 J U) J) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64))
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J)))))
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) K) K #s(literal 1 binary64)) (.f64 (/.f64 J U) J) (*.f64 #s(literal 1/2 binary64) U)))
(fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) K) K #s(literal 1 binary64)) (.f64 (/.f64 J U) J) (*.f64 #s(literal 1/2 binary64) U))
(.f64 (.f64 K K) #s(literal 1/16 binary64))
(.f64 #s(literal 1/16 binary64) (.f64 K K))
(*.f64 K K)
K
#s(literal 1/16 binary64)
U
(fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J)))
(fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 K K) #s(literal 1/2 binary64)) U (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) K) K #s(literal 1 binary64)) (.f64 (/.f64 J U) J)))
(*.f64 #s(literal 1/2 binary64) U)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))
(.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) K) K #s(literal 1 binary64)) (*.f64 (/.f64 J U) J))
(fma.f64 (/.f64 (*.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 K K) U) (/.f64 #s(literal 1 binary64) U))
(/.f64 (*.f64 K K) U)
#s(literal -1/4 binary64)
(/.f64 #s(literal 1 binary64) U)
(*.f64 J J)
J
#s(literal -2 binary64)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) #s(literal 1 binary64))))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) #s(literal 1 binary64))))))
#s(literal 1 binary64)
#s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))
(fma.f64 (/.f64 U J) (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) #s(literal 1 binary64))
(/.f64 #s(literal 1/4 binary64) J)
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) J)
(*.f64 (/.f64 U J) U)
(*.f64 U U)
U

localize521.0ms (5.4%)

Memory

10.6MiB live, 597.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.599345325949735	(/.f64 (*.f64 U U) J)
accuracy	6.85715488308563	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
accuracy	10.066649962537246	#s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
accuracy	12.056107754327282	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
accuracy	9.189250389536756	(.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))
accuracy	19.60611306598999	#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J)))))
accuracy	21.524370833383855	(fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))
accuracy	26.201069643136975	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))) #s(literal -2 binary64)))
accuracy	7.2862813606366315	(.f64 (.f64 K K) U)
accuracy	26.201069643136975	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64)))
accuracy	28.79663362667361	(fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))
accuracy	36.67836590338343	#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64))))
accuracy	0.0	(neg.f64 U)
accuracy	2.8488132063184275	(.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))
accuracy	30.813766523415886	#s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64))
accuracy	55.2097306482961	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
accuracy	0.10384750976844202	(.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
accuracy	0.19597626953688405	(pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))
accuracy	6.316837118593859	(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
accuracy	12.100403405397605	(pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))

Samples

231.0ms	98×	1	valid
109.0ms	136×	0	valid
40.0ms	22×	2	valid

Compiler

Compiled 1 794 to 219 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 302.0ms

ival-mult: 104.0ms (34.4% of total)

ival-cos: 45.0ms (14.9% of total)

ival-div: 35.0ms (11.6% of total)

ival-pow: 32.0ms (10.6% of total)

ival-sqrt: 29.0ms (9.6% of total)

ival-add: 20.0ms (6.6% of total)

adjust: 18.0ms (6% of total)

ival-pow2: 17.0ms (5.6% of total)

exact: 2.0ms (0.7% of total)

ival-neg: 1.0ms (0.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series89.0ms (0.9%)

Memory

-33.6MiB live, 131.1MiB allocated

Counts

28 → 224

Calls

Call 1

Inputs
(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
(.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))
#s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64))
(neg.f64 U)
(fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64)))
(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64))
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64))))
(fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))
(.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))
(fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))
(.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 K K) U)
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
#s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(/.f64 (*.f64 U U) J)

Outputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* -1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* -1/2 K))))
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
U
(+ U (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)))
-1
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2)))))))
(+ (* -2 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))) (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))))
(+ (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3)))))) (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))))
(+ (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))) (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -5/4 (/ (pow K 2) (pow U 5))) (* 2 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 5)))))) (* -2 (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3))))))))))
(+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3))))) (/ 1 U))))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (+ (* 3/8 (/ (pow K 2) (pow U 3))) (* (pow J 2) (+ (* -5/4 (/ (pow K 2) (pow U 5))) (* 2 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 5)))))))) (/ 1 U))))))
(* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))
(* 1/2 (* U (+ 1 (* -1/8 (pow K 2)))))
(+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))
(* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 5))) (* 2 (/ (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K))) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* J (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))) (* 2 (/ (cos (* -1/2 K)) U))))
(* J (+ (* 2 (/ (cos (* -1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* -1/4 (/ (* (pow J 2) (* U (+ (* -64 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 16 (/ (pow (cos (* -1/2 K)) 6) (pow U 6)))))) (cos (* -1/2 K))))))))
(* J (+ (* 2 (/ (cos (* -1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* (pow J 2) (+ (* -1/4 (/ (* U (+ (* -64 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 16 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))))) (cos (* -1/2 K)))) (* -1/4 (/ (* (pow J 2) (* U (+ (* 2 (/ (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 16 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))))) (pow U 2))) (* 256 (/ (pow (cos (* -1/2 K)) 8) (pow U 8)))))) (cos (* -1/2 K))))))))))
(/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (* J (cos (* -1/2 K))) U)
(* 2 (/ J U))
(* J (+ (* -4 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U))))
(* J (+ (* (pow J 2) (- (* 12 (/ (pow J 2) (pow U 5))) (* 4 (/ 1 (pow U 3))))) (* 2 (/ 1 U))))
(* J (+ (* (pow J 2) (- (* (pow J 2) (+ (* -40 (/ (pow J 2) (pow U 7))) (* 12 (/ 1 (pow U 5))))) (* 4 (/ 1 (pow U 3))))) (* 2 (/ 1 U))))
(/ (pow U 2) J)
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(* -2 (* J (+ 1 (* -1/8 (pow K 2)))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (* -2 (/ (+ (* 1/32 (* (pow K 2) (pow U 2))) (* 1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))))) (pow J 2)))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -2 (/ (+ (* -1/128 (* (pow U 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/256 (* (pow K 2) (pow U 4)))) (pow J 4))) (* -2 (/ (+ (* 1/32 (* (pow K 2) (pow U 2))) (* 1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))))) (pow J 2))))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -2 (/ (+ (* -1/64 (* (pow K 2) (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4)))))) (* 1/1024 (* (pow U 6) (+ 1 (* -1/8 (pow K 2)))))) (pow J 6))) (+ (* -2 (/ (+ (* -1/128 (* (pow U 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/256 (* (pow K 2) (pow U 4)))) (pow J 4))) (* -2 (/ (+ (* 1/32 (* (pow K 2) (pow U 2))) (* 1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))))) (pow J 2)))))))
(* J (+ 1 (* -1/8 (pow K 2))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/8 (/ (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))) (pow J 2)))))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* -1/128 (/ (* (pow U 4) (+ 1 (* -1/8 (pow K 2)))) (pow J 4))) (+ (* -1/256 (/ (* (pow K 2) (pow U 4)) (pow J 4))) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/8 (/ (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))) (pow J 2)))))))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* -1/64 (/ (* (pow K 2) (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))) (pow J 6))) (+ (* -1/128 (/ (* (pow U 4) (+ 1 (* -1/8 (pow K 2)))) (pow J 4))) (+ (* -1/256 (/ (* (pow K 2) (pow U 4)) (pow J 4))) (+ (* 1/1024 (/ (* (pow U 6) (+ 1 (* -1/8 (pow K 2)))) (pow J 6))) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/8 (/ (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))) (pow J 2)))))))))))
(* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* 1/16 (/ (* (pow K 2) U) (pow J 2))) (+ (* 1/2 (/ (* U (+ 1 (* -1/8 (pow K 2)))) (pow J 2))) (/ 1 U)))))
(* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* 1/2 (/ (* U (+ 1 (* -1/8 (pow K 2)))) (pow J 2))) (/ 1 U))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))))
1
(+ 1 (* -1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (/ (pow U 4) (pow (cos (* -1/2 K)) 4))) (* 1/64 (/ (pow U 4) (pow (cos (* -1/2 K)) 4)))) (pow J 4))) (* -1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (/ (pow U 4) (pow (cos (* -1/2 K)) 4))) (* 1/64 (/ (pow U 4) (pow (cos (* -1/2 K)) 4)))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/64 (/ (pow U 6) (pow (cos (* -1/2 K)) 6))) (* 1/8 (/ (* (pow U 2) (+ (* -1/16 (/ (pow U 4) (pow (cos (* -1/2 K)) 4))) (* 1/64 (/ (pow U 4) (pow (cos (* -1/2 K)) 4))))) (pow (cos (* -1/2 K)) 2)))) (pow J 6))) (* -1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* -1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))) (pow J 4))) (* -1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/64 (pow U 6)) (* 1/8 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4)))))) (pow J 6))) (* -1/8 (/ (pow U 2) (pow J 2))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -1 (* J (+ (* -2 (/ (+ (* -1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2))))) (* -1/32 (* (pow K 2) (pow U 2)))) (pow J 2))) (* 2 (+ 1 (* -1/8 (pow K 2)))))))
(* -1 (* J (+ (* -2 (/ (+ (* -1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2))))) (* -1/32 (* (pow K 2) (pow U 2)))) (pow J 2))) (+ (* -2 (/ (+ (* 1/256 (* (pow K 2) (pow U 4))) (* 1/128 (* (pow U 4) (+ 1 (* -1/8 (pow K 2)))))) (pow J 4))) (* 2 (+ 1 (* -1/8 (pow K 2))))))))
(* -1 (* J (+ (* -2 (/ (+ (* -1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2))))) (* -1/32 (* (pow K 2) (pow U 2)))) (pow J 2))) (+ (* -2 (/ (+ (* -1/1024 (* (pow U 6) (+ 1 (* -1/8 (pow K 2))))) (* 1/64 (* (pow K 2) (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))))) (pow J 6))) (+ (* -2 (/ (+ (* 1/256 (* (pow K 2) (pow U 4))) (* 1/128 (* (pow U 4) (+ 1 (* -1/8 (pow K 2)))))) (pow J 4))) (* 2 (+ 1 (* -1/8 (pow K 2)))))))))
(* -1 (* J (+ (* -1 (+ 1 (* -1/8 (pow K 2)))) (+ (* -1/8 (/ (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))) (pow J 2))) (* -1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2)))))))
(* -1 (* J (+ (* -1 (+ 1 (* -1/8 (pow K 2)))) (+ (* -1/8 (/ (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))) (pow J 2))) (+ (* -1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/256 (/ (* (pow K 2) (pow U 4)) (pow J 4))) (* 1/128 (/ (* (pow U 4) (+ 1 (* -1/8 (pow K 2)))) (pow J 4)))))))))
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(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K))))))
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(* U (+ (* -1 (/ (* (pow J 4) (+ 1 (* -1/8 (pow K 2)))) (pow U 4))) (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (* (pow J 2) (pow U 4)))) (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (* (pow J 2) (pow U 6)))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (+ (* 2 (/ (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))) (pow U 6))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2))))))))))
(* U (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/4 (pow K 2)))) (pow U 2)))))
(* U (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/4 (pow K 2)))) (pow U 2))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (* 2 (* J (cos (* -1/2 K))))) U)
(/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K)))))) U)
(/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))) (* 256 (* (pow J 8) (pow (cos (* -1/2 K)) 8)))) (* J (* (pow U 6) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K))))))) U)
(/ (+ (* -4 (/ (pow J 3) (pow U 2))) (* 2 J)) U)
(/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (* 2 J))) U)
(/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* J (pow U 6)))) (* 2 J)))) U)
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4))))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -1 (* U (+ (* -1/2 (+ 1 (* -1/8 (pow K 2)))) (* -1/16 (pow K 2)))))
(* 2 (* U (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))))
(* -1 (* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2))))))
(* -1 (* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (+ (* -2 (/ (+ (* -1 (* (pow J 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (pow J 2)))) (pow U 4))) (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2)))))))
(* -1 (* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (+ (* -2 (/ (+ (* -1 (* (pow J 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (pow J 2)))) (pow U 4))) (+ (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2))) (* -2 (/ (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (pow J 2))) (* 2 (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))))) (pow U 6))))))))
(* -1 (* U (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))))
(* -1 (* U (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2)))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 4) (+ 1 (* -1/8 (pow K 2)))) (pow U 4))) (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (* (pow J 2) (pow U 4)))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2)))))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 4) (+ 1 (* -1/8 (pow K 2)))) (pow U 4))) (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (* (pow J 2) (pow U 4)))) (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (* (pow J 2) (pow U 6)))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (+ (* 2 (/ (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))) (pow U 6))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2)))))))))))
(* -1 (* U (+ (* -1/2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -1/16 (pow K 2)) (/ (* (pow J 2) (- (* 1/4 (pow K 2)) 1)) (pow U 2))))))
(* -1 (/ (* (pow J 2) (- (* 1/4 (pow K 2)) 1)) U))
(* -1 (* U (+ (* -1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (- (* 1/4 (pow K 2)) 1)) (pow U 2)))))
(/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))))
(* -2 (/ (* J (cos (* -1/2 K))) U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (* 2 (* J (cos (* -1/2 K))))) U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K)))))) U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))) (* 256 (* (pow J 8) (pow (cos (* -1/2 K)) 8)))) (* J (* (pow U 6) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K))))))) U))
(* -2 (/ J U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (* 2 J)) U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (* 2 J))) U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* J (pow U 6)))) (* 2 J)))) U))

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	K	@	-inf	((/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (* (cos (/ K -2)) (* J -2)) (cos (/ K -2)) (/ K -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ J U) (cos (* -1/2 K))) (* (* K K) U) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (/ (* U U) J))
11.0ms	J	@	0	((/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (* (cos (/ K -2)) (* J -2)) (cos (/ K -2)) (/ K -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ J U) (cos (* -1/2 K))) (* (* K K) U) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (/ (* U U) J))
9.0ms	K	@	inf	((/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (* (cos (/ K -2)) (* J -2)) (cos (/ K -2)) (/ K -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ J U) (cos (* -1/2 K))) (* (* K K) U) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (/ (* U U) J))
9.0ms	U	@	-inf	((/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (* (cos (/ K -2)) (* J -2)) (cos (/ K -2)) (/ K -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ J U) (cos (* -1/2 K))) (* (* K K) U) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (/ (* U U) J))
9.0ms	J	@	-inf	((/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (* (cos (/ K -2)) (* J -2)) (cos (/ K -2)) (/ K -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ J U) (cos (* -1/2 K))) (* (* K K) U) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (/ (* U U) J))

simplify180.0ms (1.9%)

Memory

18.8MiB live, 245.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1194	9302
1	4025	9166
0	8040	8568

Stop Event

1×	iter limit
1×	node limit

Counts

224 → 223

Calls

Call 1

Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 4)) (pow U 3))))))
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U
(+ U (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)))
-1
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
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(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))))
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1
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(+ 1 (* -1/8 (/ (pow U 2) (pow J 2))))
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(- (* -2 (/ (pow J 2) (pow U 2))) 1)
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(* 1/2 U)
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(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
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(+ (* 1/2 U) (/ (pow J 2) U))
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(/ (pow J 2) U)
(+ (* -1/4 (/ (* (pow J 2) (pow K 2)) U)) (/ (pow J 2) U))
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(* -1 (* U (+ (* -1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (- (* 1/4 (pow K 2)) 1)) (pow U 2)))))
(/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))))
(* -2 (/ (* J (cos (* -1/2 K))) U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (* 2 (* J (cos (* -1/2 K))))) U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K)))))) U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))) (* 256 (* (pow J 8) (pow (cos (* -1/2 K)) 8)))) (* J (* (pow U 6) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K))))))) U))
(* -2 (/ J U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (* 2 J)) U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (* 2 J))) U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* J (pow U 6)))) (* 2 J)))) U))

Outputs
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -2 binary64) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 4)) (pow U 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64)))) #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (.f64 J J) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* -1/2 K)) 4) (pow U 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64)))) #s(literal -4 binary64) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 J J) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U))
(* -2 (* J (cos (* -1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -2 binary64) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64)))) #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (.f64 J J) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64)))) #s(literal -4 binary64) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 J J) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U))
U
(+ U (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)))
(fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal 2 binary64) U)
-1
#s(literal -1 binary64)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(fma.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) U) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -1 binary64))
(* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2)))))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) U) #s(literal 1/16 binary64))) #s(literal -2 binary64))
(+ (* -2 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))) (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))))
(.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (.f64 J J) (fma.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) U) #s(literal 1/16 binary64)))))
(+ (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3)))))) (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 K K) (pow.f64 U #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (pow.f64 U #s(literal 3 binary64)))) (.f64 J J) (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)))) (.f64 J J) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) U) #s(literal 1/16 binary64))) #s(literal -2 binary64)))
(+ (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))) (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -5/4 (/ (pow K 2) (pow U 5))) (* 2 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 5)))))) (* -2 (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (pow.f64 U #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (.f64 #s(literal -5/4 binary64) (.f64 K K)) (pow.f64 U #s(literal 5 binary64)))) (.f64 J J) (fma.f64 (/.f64 (.f64 K K) (pow.f64 U #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (pow.f64 U #s(literal 3 binary64)))))) (.f64 J J) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) #s(literal -2 binary64))) (.f64 J J) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64))) #s(literal -2 binary64)))
(+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))
(fma.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))))
(fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3))))) (/ 1 U))))))
(fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 K K) (pow.f64 U #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (pow.f64 U #s(literal 3 binary64)))) (.f64 J J) (/.f64 #s(literal 1 binary64) U))) (.f64 J J))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (+ (* 3/8 (/ (pow K 2) (pow U 3))) (* (pow J 2) (+ (* -5/4 (/ (pow K 2) (pow U 5))) (* 2 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 5)))))))) (/ 1 U))))))
(fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (pow.f64 U #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (.f64 #s(literal -5/4 binary64) (.f64 K K)) (pow.f64 U #s(literal 5 binary64)))) (.f64 J J) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 K K)) (pow.f64 U #s(literal 3 binary64)))) (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (pow.f64 U #s(literal 3 binary64)))) (.f64 J J) (/.f64 #s(literal 1 binary64) U))) (*.f64 J J))))
(* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))
(.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))
(* 1/2 (* U (+ 1 (* -1/8 (pow K 2)))))
(.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))
(+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))
(fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J)))
(* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K))))
(.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))))
(fma.f64 (/.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U) #s(literal -2 binary64) (.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 J J) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 3 binary64))))) #s(literal 2 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)) #s(literal -2 binary64))) (.f64 J J) (.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 5))) (* 2 (/ (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K))) (pow U 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 5 binary64)))) #s(literal -4 binary64) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 3 binary64)))) #s(literal 2 binary64))) (.f64 J J) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)) #s(literal -2 binary64))) (.f64 J J) (.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(* 2 (/ (* J (cos (* -1/2 K))) U))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)
(* J (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))) (* 2 (/ (cos (* -1/2 K)) U))))
(.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) #s(literal -4 binary64) (.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) #s(literal 2 binary64))) J)
(* J (+ (* 2 (/ (cos (* -1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* -1/4 (/ (* (pow J 2) (* U (+ (* -64 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 16 (/ (pow (cos (* -1/2 K)) 6) (pow U 6)))))) (cos (* -1/2 K))))))))
(.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 J J) U) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -48 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -1/4 binary64) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) #s(literal -4 binary64))) (.f64 J J) (.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) #s(literal 2 binary64))) J)
(* J (+ (* 2 (/ (cos (* -1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* (pow J 2) (+ (* -1/4 (/ (* U (+ (* -64 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 16 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))))) (cos (* -1/2 K)))) (* -1/4 (/ (* (pow J 2) (* U (+ (* 2 (/ (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 16 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))))) (pow U 2))) (* 256 (/ (pow (cos (* -1/2 K)) 8) (pow U 8)))))) (cos (* -1/2 K))))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 J J) (/.f64 (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -48 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) U) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 8 binary64)) (pow.f64 U #s(literal 8 binary64))) #s(literal 256 binary64))) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 U (/.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -48 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) (.f64 J J) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) #s(literal -4 binary64))) (.f64 J J) (.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) #s(literal 2 binary64))) J)
(/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))
(/ (* J (cos (* -1/2 K))) U)
(.f64 J (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
(* 2 (/ J U))
(*.f64 (/.f64 J U) #s(literal 2 binary64))
(* J (+ (* -4 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U))))
(.f64 (fma.f64 (/.f64 (.f64 J J) (pow.f64 U #s(literal 3 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 2 binary64) U)) J)
(* J (+ (* (pow J 2) (- (* 12 (/ (pow J 2) (pow U 5))) (* 4 (/ 1 (pow U 3))))) (* 2 (/ 1 U))))
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(* J (+ (* (pow J 2) (- (* (pow J 2) (+ (* -40 (/ (pow J 2) (pow U 7))) (* 12 (/ 1 (pow U 5))))) (* 4 (/ 1 (pow U 3))))) (* 2 (/ 1 U))))
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(* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2)))))
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(* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (+ (* -2 (/ (+ (* -1 (* (pow J 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (pow J 2)))) (pow U 4))) (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2))))))
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(* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (+ (* -2 (/ (+ (* -1 (* (pow J 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (pow J 2)))) (pow U 4))) (+ (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2))) (* -2 (/ (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (pow J 2))) (* 2 (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))))) (pow U 6)))))))
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(* U (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2))))))
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(* -1 (* U (+ (* -1 (/ (* (pow J 4) (+ 1 (* -1/8 (pow K 2)))) (pow U 4))) (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (* (pow J 2) (pow U 4)))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2)))))))))
(.f64 (neg.f64 U) (fma.f64 (neg.f64 (pow.f64 J #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 J J)) U) (/.f64 (.f64 K K) U) (fma.f64 (/.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (.f64 (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) J) (/.f64 (.f64 K K) J)) (fma.f64 (.f64 K K) #s(literal 1/16 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) (/.f64 (.f64 J J) U) (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 4) (+ 1 (* -1/8 (pow K 2)))) (pow U 4))) (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (* (pow J 2) (pow U 4)))) (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (* (pow J 2) (pow U 6)))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (+ (* 2 (/ (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))) (pow U 6))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2)))))))))))
(.f64 (neg.f64 U) (fma.f64 (neg.f64 (pow.f64 J #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 J J)) U) (/.f64 (.f64 K K) U) (fma.f64 #s(literal -1/128 binary64) (fma.f64 (.f64 K K) (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) (.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 J J))) (/.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) (.f64 (pow.f64 J #s(literal 8 binary64)) #s(literal 256 binary64))) (.f64 K K)) (.f64 J J)) (pow.f64 U #s(literal 6 binary64)))) (fma.f64 (.f64 K K) #s(literal 1/16 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) (/.f64 (.f64 J J) U) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 6 binary64))) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (pow.f64 U #s(literal 6 binary64))))))))))
(* -1 (* U (+ (* -1/2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -1/16 (pow K 2)) (/ (* (pow J 2) (- (* 1/4 (pow K 2)) 1)) (pow U 2))))))
(.f64 (neg.f64 U) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -1 binary64)) U) (/.f64 (.f64 J J) U) (.f64 #s(literal -1/16 binary64) (.f64 K K)))))
(* -1 (/ (* (pow J 2) (- (* 1/4 (pow K 2)) 1)) U))
(.f64 (neg.f64 (.f64 J J)) (/.f64 (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -1 binary64)) U))
(* -1 (* U (+ (* -1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (- (* 1/4 (pow K 2)) 1)) (pow U 2)))))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -1 binary64)) U) (/.f64 (.f64 J J) U) (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))))))
(.f64 (neg.f64 U) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(.f64 (neg.f64 U) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U) (fma.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))))
(.f64 (neg.f64 U) (fma.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 6 binary64)))) #s(literal -4 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U) (fma.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))))
(* -2 (/ (* J (cos (* -1/2 K))) U))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (* 2 (* J (cos (* -1/2 K))))) U))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) U) (/.f64 (.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) U) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) U)
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K)))))) U))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) U) (/.f64 (.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) U) (fma.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 U #s(literal 4 binary64)) J)) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) U)
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))) (* 256 (* (pow J 8) (pow (cos (* -1/2 K)) 8)))) (* J (* (pow U 6) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K))))))) U))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) U) (/.f64 (.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) U) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64))) (.f64 (pow.f64 U #s(literal 4 binary64)) J)) (/.f64 #s(literal -48 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (.f64 (.f64 (pow.f64 J #s(literal 8 binary64)) #s(literal 256 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 8 binary64)))) (.f64 (.f64 (pow.f64 U #s(literal 6 binary64)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) U)
(* -2 (/ J U))
(*.f64 (/.f64 J U) #s(literal -2 binary64))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (* 2 J)) U))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) U) (/.f64 (pow.f64 J #s(literal 3 binary64)) U) (*.f64 #s(literal 2 binary64) J))) U)
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (* 2 J))) U))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) U) (/.f64 (pow.f64 J #s(literal 3 binary64)) U) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 U #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) J) (.f64 #s(literal 2 binary64) J)))) U)
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* J (pow U 6)))) (* 2 J)))) U))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) U) (/.f64 (pow.f64 J #s(literal 3 binary64)) U) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 4 binary64))) (/.f64 #s(literal -48 binary64) J) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) (.f64 (pow.f64 J #s(literal 8 binary64)) #s(literal 256 binary64))) (.f64 (pow.f64 U #s(literal 6 binary64)) J))) (.f64 #s(literal 2 binary64) J)))) U)

rewrite203.0ms (2.1%)

Memory

-9.5MiB live, 228.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	776
0	161	766
1	593	724
2	4257	713
0	8501	692

Stop Event

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

Counts

28 → 380

Calls

Call 1

Inputs
(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
(.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))
#s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64))
(neg.f64 U)
(fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64)))
(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64))
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64))))
(fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))
(.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))
(fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))
(.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 K K) U)
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
#s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(/.f64 (*.f64 U U) J)

Outputs
(.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (pow.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/4 binary64))))
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(exp.f64 (fma.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64) (.f64 (log.f64 (/.f64 J U)) #s(literal -2 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 J U)) #s(literal -2 binary64) (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)) (/.f64 U J))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J U))) #s(literal -2 binary64)))
(.f64 (exp.f64 (log.f64 (/.f64 J U))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (pow.f64 U #s(literal -1 binary64)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (exp.f64 (log.f64 (/.f64 J U))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U))
(.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 J (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U))
(.f64 J (.f64 (pow.f64 U #s(literal -1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(pow.f64 (/.f64 U (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -1 binary64))
(/.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) U)
(/.f64 (.f64 (neg.f64 J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (neg.f64 U))
(/.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U J))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 J)) (neg.f64 U))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) (/.f64 U J))
(/.f64 (neg.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (neg.f64 U))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) U)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J))
(/.f64 #s(literal 1 binary64) (/.f64 U (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)))
(exp.f64 (log.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U))))
(.f64 (.f64 U K) K)
(.f64 (.f64 K K) U)
(.f64 U (.f64 K K))
(.f64 K (.f64 U K))
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) U (fma.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 K K) U) (pow.f64 U #s(literal -1 binary64))) J) J (.f64 (.f64 #s(literal 1/16 binary64) (*.f64 K K)) U))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 J U) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log1p.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 J U) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 J U) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 J U) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
#s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
(.f64 (pow.f64 J #s(literal -1 binary64)) (.f64 U U))
(.f64 (.f64 (neg.f64 U) U) (pow.f64 (neg.f64 J) #s(literal -1 binary64)))
(.f64 (.f64 U U) (pow.f64 J #s(literal -1 binary64)))
(*.f64 (/.f64 U J) U)
(.f64 #s(literal 1 binary64) (.f64 (/.f64 U J) U))
(*.f64 U (/.f64 U J))
(pow.f64 (/.f64 (*.f64 J (pow.f64 U #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 J (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 U) U)) (neg.f64 (neg.f64 J)))
(/.f64 (.f64 (.f64 U U) #s(literal 1 binary64)) J)
(/.f64 (*.f64 (neg.f64 U) U) (neg.f64 J))
(/.f64 (*.f64 U U) J)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 J (pow.f64 U #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (pow.f64 U #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 J (pow.f64 U #s(literal -2 binary64))))
(/.f64 U (/.f64 J U))
(neg.f64 (/.f64 (*.f64 (neg.f64 U) U) J))
(neg.f64 (/.f64 (*.f64 U U) (neg.f64 J)))
(exp.f64 (.f64 (log.f64 (.f64 J (pow.f64 U #s(literal -2 binary64)))) #s(literal -1 binary64)))

eval128.0ms (1.3%)

Memory: 19.6MiB live, 183.0MiB allocated
Compiler: Compiled 45 819 to 3 230 computations (93% saved)

prune57.0ms (0.6%)

Memory

4.1MiB live, 122.3MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	558	18	576
Fresh	6	7	13
Picked	4	1	5
Done	0	1	1
Total	568	27	595

Accuracy

100.0%

Counts

595 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.8%	(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
▶	70.7%	(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
	53.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
	53.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (exp.f64 (log.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
	61.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))))
	48.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) #s(approx (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))
	62.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
	51.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
▶	57.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
	50.3%	#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
▶	37.9%	#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	23.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))
	43.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
	25.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64))) (.f64 U U) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
	25.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) J) (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J) (.f64 (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64)) (/.f64 (.f64 U U) J)))) J J)) #s(literal -2 binary64)))
	28.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) U) (.f64 (.f64 #s(literal 1/16 binary64) (*.f64 K K)) U))) #s(literal -2 binary64)))
▶	28.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
	28.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 #s(literal -1/8 binary64) K)) K (fma.f64 #s(literal 1/2 binary64) U (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U)))) #s(literal -2 binary64)))
	28.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) #s(literal -1/8 binary64)) (.f64 K K) (fma.f64 #s(literal 1/2 binary64) U (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U)))) #s(literal -2 binary64)))
	28.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 U K) (.f64 #s(literal 1/16 binary64) K) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
	28.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) K) (.f64 U K) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) #s(literal -1/8 binary64)) (.f64 K K))) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
	27.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
▶	39.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
	39.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
	13.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U)))
✓	13.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
✓	39.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 3 385 to 2 073 computations (38.8% saved)

simplify248.0ms (2.6%)

Memory

7.8MiB live, 271.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
cost-diff	320	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
cost-diff	0	#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
cost-diff	320	(.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))
cost-diff	0	#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U)))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
cost-diff	0	(sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
cost-diff	0	(*.f64 J #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	1111
0	155	1096
1	300	1082
2	651	1059
3	1537	1035
4	2831	1001
5	3690	1001
6	4477	1001
7	4663	1001
8	4855	1001
9	5102	1001
10	5754	1001
11	6146	1001
0	9165	973

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
(sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(/.f64 J U)
U
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64))
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U)))
#s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))
(*.f64 #s(literal 1/2 binary64) U)
#s(literal 1/2 binary64)
U
#s(literal -2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64))
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))
(.f64 (.f64 K K) #s(literal 1/16 binary64))
(*.f64 K K)
K
#s(literal 1/16 binary64)
U
#s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U)
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
#s(literal -1/8 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal -2 binary64)
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))
(/.f64 #s(literal 1/4 binary64) J)
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) J)
(*.f64 U U)
U
#s(literal 1 binary64)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))
#s(literal 1 binary64)
#s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))
(/.f64 #s(literal 1/4 binary64) J)
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) J)
(*.f64 U U)
U

Outputs
(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
J
#s(literal -2 binary64)
(sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64))
(pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U))
(.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(/.f64 J U)
U
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64))
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U)))
#s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))
(*.f64 #s(literal 1/2 binary64) U)
#s(literal 1/2 binary64)
U
#s(literal -2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/16 binary64) U) K) K #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 K K) #s(literal 1/2 binary64)) U)))) #s(literal -2 binary64)))
(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/16 binary64) U) K) K #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 K K) #s(literal 1/2 binary64)) U)))) #s(literal -2 binary64))
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/16 binary64) U) K) K #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 K K) #s(literal 1/2 binary64)) U))))
(fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 1/16 binary64) U) K) K #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 K K) #s(literal 1/2 binary64)) U)))
(.f64 (.f64 K K) #s(literal 1/16 binary64))
(.f64 #s(literal 1/16 binary64) (.f64 K K))
(*.f64 K K)
K
#s(literal 1/16 binary64)
U
#s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))
#s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 K K) #s(literal 1/2 binary64)) U))
(.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 K K) #s(literal 1/2 binary64)) U)
(.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U)
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
#s(literal -1/8 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal -2 binary64)
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))
(/.f64 #s(literal 1/4 binary64) J)
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) J)
(*.f64 (/.f64 U J) U)
(*.f64 U U)
U
#s(literal 1 binary64)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
(/.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))))
(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))))
#s(literal 1 binary64)
#s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))
(/.f64 #s(literal 1/4 binary64) J)
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) J)
(*.f64 (/.f64 U J) U)
(*.f64 U U)
U

localize501.0ms (5.2%)

Memory

-30.5MiB live, 683.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.599345325949735	(/.f64 (*.f64 U U) J)
accuracy	6.85715488308563	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
accuracy	10.066649962537246	#s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
accuracy	12.056107754327282	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
accuracy	5.599345325949735	(/.f64 (*.f64 U U) J)
accuracy	6.82590488308563	(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
accuracy	11.759370511655163	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
accuracy	22.152558857925882	#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
accuracy	19.60611306598999	#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))))
accuracy	21.524370833383855	(fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))
accuracy	26.201069643136975	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
accuracy	27.158126282517703	#s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) U)
accuracy	0.0	#s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))
accuracy	26.201069643136975	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
accuracy	36.67836590338343	#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U)))
accuracy	0.10384750976844202	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U))
accuracy	0.19597626953688405	(pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64))
accuracy	6.856900122914598	(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
accuracy	11.758756006690449	(sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))

Samples

203.0ms	98×	1	valid
166.0ms	136×	0	valid
60.0ms	22×	2	valid

Compiler

Compiled 1 825 to 232 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 349.0ms

ival-mult: 87.0ms (24.9% of total)

ival-div: 64.0ms (18.3% of total)

ival-sqrt: 53.0ms (15.2% of total)

adjust: 48.0ms (13.7% of total)

ival-cos: 44.0ms (12.6% of total)

ival-add: 23.0ms (6.6% of total)

ival-pow: 22.0ms (6.3% of total)

ival-pow2: 7.0ms (2% of total)

exact: 2.0ms (0.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series71.0ms (0.7%)

Memory

14.5MiB live, 130.1MiB allocated

Counts

27 → 280

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(*.f64 J #s(literal -2 binary64))
(sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64))
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U)))
#s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))
(.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64))
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
(*.f64 #s(literal -2 binary64) J)
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U))
(*.f64 #s(literal 1/2 binary64) U)
#s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))
(/.f64 (*.f64 U U) J)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
#s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))

Outputs
(* -1 U)
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(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -1 (/ U (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (/ U (cos (* 1/2 K)))))
(+ (* -1 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))))))
(+ (* -1 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))))))))
(* -2 J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2)))))))
(+ (* -2 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))) (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))))
(+ (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3)))))) (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))))
(+ (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))) (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -5/4 (/ (pow K 2) (pow U 5))) (* 2 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 5)))))) (* -2 (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3))))))))))
(+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3))))) (/ 1 U))))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (+ (* 3/8 (/ (pow K 2) (pow U 3))) (* (pow J 2) (+ (* -5/4 (/ (pow K 2) (pow U 5))) (* 2 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 5)))))))) (/ 1 U))))))
(+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* -1/2 K)) 4) (pow U 3))))))))
(+ (* -2 (/ (pow J 2) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))
(+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
(* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 5))) (* 2 (/ (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K))) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))
(/ (* J (cos (* 1/2 K))) U)
(* 1/2 (* U (+ 1 (* -1/8 (pow K 2)))))
(+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))
(/ (pow U 2) J)
(* 2 (/ J U))
(* J (+ (* -4 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U))))
(* J (+ (* (pow J 2) (- (* 12 (/ (pow J 2) (pow U 5))) (* 4 (/ 1 (pow U 3))))) (* 2 (/ 1 U))))
(* J (+ (* (pow J 2) (- (* (pow J 2) (+ (* -40 (/ (pow J 2) (pow U 7))) (* 12 (/ 1 (pow U 5))))) (* 4 (/ 1 (pow U 3))))) (* 2 (/ 1 U))))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* J (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))) (* 2 (/ (cos (* -1/2 K)) U))))
(* J (+ (* 2 (/ (cos (* -1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* -1/4 (/ (* (pow J 2) (* U (+ (* -64 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 16 (/ (pow (cos (* -1/2 K)) 6) (pow U 6)))))) (cos (* -1/2 K))))))))
(* J (+ (* 2 (/ (cos (* -1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* (pow J 2) (+ (* -1/4 (/ (* U (+ (* -64 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 16 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))))) (cos (* -1/2 K)))) (* -1/4 (/ (* (pow J 2) (* U (+ (* 2 (/ (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 16 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))))) (pow U 2))) (* 256 (/ (pow (cos (* -1/2 K)) 8) (pow U 8)))))) (cos (* -1/2 K))))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* J (- (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* -2 (* J (+ 1 (* -1/8 (pow K 2)))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (* -2 (/ (+ (* 1/32 (* (pow K 2) (pow U 2))) (* 1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))))) (pow J 2)))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -2 (/ (+ (* -1/128 (* (pow U 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/256 (* (pow K 2) (pow U 4)))) (pow J 4))) (* -2 (/ (+ (* 1/32 (* (pow K 2) (pow U 2))) (* 1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))))) (pow J 2))))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -2 (/ (+ (* -1/64 (* (pow K 2) (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4)))))) (* 1/1024 (* (pow U 6) (+ 1 (* -1/8 (pow K 2)))))) (pow J 6))) (+ (* -2 (/ (+ (* -1/128 (* (pow U 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/256 (* (pow K 2) (pow U 4)))) (pow J 4))) (* -2 (/ (+ (* 1/32 (* (pow K 2) (pow U 2))) (* 1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))))) (pow J 2)))))))
(* J (+ 1 (* -1/8 (pow K 2))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/8 (/ (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))) (pow J 2)))))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* -1/128 (/ (* (pow U 4) (+ 1 (* -1/8 (pow K 2)))) (pow J 4))) (+ (* -1/256 (/ (* (pow K 2) (pow U 4)) (pow J 4))) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/8 (/ (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))) (pow J 2)))))))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* -1/64 (/ (* (pow K 2) (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))) (pow J 6))) (+ (* -1/128 (/ (* (pow U 4) (+ 1 (* -1/8 (pow K 2)))) (pow J 4))) (+ (* -1/256 (/ (* (pow K 2) (pow U 4)) (pow J 4))) (+ (* 1/1024 (/ (* (pow U 6) (+ 1 (* -1/8 (pow K 2)))) (pow J 6))) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/8 (/ (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))) (pow J 2)))))))))))
(* -2 (* J (cos (* -1/2 K))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3))))))))
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
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(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))))
(* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))
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(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
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(+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (pow (cos (* -1/2 K)) 2)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (pow (cos (* -1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))))))
(/ (* (pow J 2) (+ 1 (* -1/4 (pow K 2)))) U)
(/ (+ (* 1/2 (* (pow U 2) (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ 1 (* -1/4 (pow K 2))))) U)
(/ (+ (* (pow J 2) (+ 1 (* -1/4 (pow K 2)))) (* (pow U 2) (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2))))))) U)
(+ 1 (* (pow U 2) (- (* 3/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (- (* (pow U 2) (+ (* -5/1024 (/ (pow U 2) (pow J 6))) (* 3/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (- (* 3/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (- (* (pow U 2) (+ (* -5/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 3/128 (/ 1 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* U (- (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (/ 1 (cos (* 1/2 K)))))
(* U (- (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 3)) (pow U 4)))) (/ 1 (cos (* 1/2 K)))))
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(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -2 (* U (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))))
(* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2)))))
(* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (+ (* -2 (/ (+ (* -1 (* (pow J 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (pow J 2)))) (pow U 4))) (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2))))))
(* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (+ (* -2 (/ (+ (* -1 (* (pow J 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (pow J 2)))) (pow U 4))) (+ (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2))) (* -2 (/ (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (pow J 2))) (* 2 (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))))) (pow U 6)))))))
(* U (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2))))))
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(* U (+ (* -1 (/ (* (pow J 4) (+ 1 (* -1/8 (pow K 2)))) (pow U 4))) (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (* (pow J 2) (pow U 4)))) (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (* (pow J 2) (pow U 6)))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (+ (* 2 (/ (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))) (pow U 6))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2))))))))))
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(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4))))) 1))
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* U (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/4 (pow K 2)))) (pow U 2))))
(* U (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/4 (pow K 2)))) (pow U 2)))))
(/ (+ (* -4 (/ (pow J 3) (pow U 2))) (* 2 J)) U)
(/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (* 2 J))) U)
(/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* J (pow U 6)))) (* 2 J)))) U)
(/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (* 2 (* J (cos (* -1/2 K))))) U)
(/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K)))))) U)
(/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))) (* 256 (* (pow J 8) (pow (cos (* -1/2 K)) 8)))) (* J (* (pow U 6) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K))))))) U)
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(/ U (cos (* 1/2 K)))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (/ 1 (cos (* 1/2 K))))))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 3)) (pow U 4)))) (/ 1 (cos (* 1/2 K))))))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 3)) (pow U 4))))) (/ 1 (cos (* 1/2 K))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(* 2 (* U (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))))
(* -1 (* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2))))))
(* -1 (* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (+ (* -2 (/ (+ (* -1 (* (pow J 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (pow J 2)))) (pow U 4))) (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2)))))))
(* -1 (* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (+ (* -2 (/ (+ (* -1 (* (pow J 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (pow J 2)))) (pow U 4))) (+ (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2))) (* -2 (/ (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (pow J 2))) (* 2 (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))))) (pow U 6))))))))
(* -1 (* U (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))))
(* -1 (* U (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2)))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 4) (+ 1 (* -1/8 (pow K 2)))) (pow U 4))) (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (* (pow J 2) (pow U 4)))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2)))))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 4) (+ 1 (* -1/8 (pow K 2)))) (pow U 4))) (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (* (pow J 2) (pow U 4)))) (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (* (pow J 2) (pow U 6)))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (+ (* 2 (/ (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))) (pow U 6))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2)))))))))))
(* -1 (* U (+ (* -1/2 (+ 1 (* -1/8 (pow K 2)))) (* -1/16 (pow K 2)))))
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(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4))))) 1)))
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))))
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(* -1 (* U (+ (* -1/2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -1/16 (pow K 2)) (/ (* (pow J 2) (- (* 1/4 (pow K 2)) 1)) (pow U 2))))))
(* -2 (/ J U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (* 2 J)) U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (* 2 J))) U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* J (pow U 6)))) (* 2 J)))) U))
(* -2 (/ (* J (cos (* -1/2 K))) U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (* 2 (* J (cos (* -1/2 K))))) U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K)))))) U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))) (* 256 (* (pow J 8) (pow (cos (* -1/2 K)) 8)))) (* J (* (pow U 6) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K))))))) U))

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	K	@	inf	((* (* (* J -2) (sqrt (+ (* (pow (* (cos (* 1/2 K)) (/ J U)) -2) 1/4) 1))) (cos (* 1/2 K))) (* (* J -2) (sqrt (+ (* (pow (* (cos (* 1/2 K)) (/ J U)) -2) 1/4) 1))) (* J -2) (sqrt (+ (* (pow (* (cos (* 1/2 K)) (/ J U)) -2) 1/4) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (* (* (+ (* (* K K) -1/8) 1) U) 1/2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (pow (* (cos (* 1/2 K)) (/ J U)) -2) (* (cos (* 1/2 K)) (/ J U)) (* 1/2 U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (/ (* U U) J) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))
9.0ms	J	@	inf	((* (* (* J -2) (sqrt (+ (* (pow (* (cos (* 1/2 K)) (/ J U)) -2) 1/4) 1))) (cos (* 1/2 K))) (* (* J -2) (sqrt (+ (* (pow (* (cos (* 1/2 K)) (/ J U)) -2) 1/4) 1))) (* J -2) (sqrt (+ (* (pow (* (cos (* 1/2 K)) (/ J U)) -2) 1/4) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (* (* (+ (* (* K K) -1/8) 1) U) 1/2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (pow (* (cos (* 1/2 K)) (/ J U)) -2) (* (cos (* 1/2 K)) (/ J U)) (* 1/2 U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (/ (* U U) J) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))
8.0ms	U	@	inf	((* (* (* J -2) (sqrt (+ (* (pow (* (cos (* 1/2 K)) (/ J U)) -2) 1/4) 1))) (cos (* 1/2 K))) (* (* J -2) (sqrt (+ (* (pow (* (cos (* 1/2 K)) (/ J U)) -2) 1/4) 1))) (* J -2) (sqrt (+ (* (pow (* (cos (* 1/2 K)) (/ J U)) -2) 1/4) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (* (* (+ (* (* K K) -1/8) 1) U) 1/2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (pow (* (cos (* 1/2 K)) (/ J U)) -2) (* (cos (* 1/2 K)) (/ J U)) (* 1/2 U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (/ (* U U) J) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))
7.0ms	K	@	-inf	((* (* (* J -2) (sqrt (+ (* (pow (* (cos (* 1/2 K)) (/ J U)) -2) 1/4) 1))) (cos (* 1/2 K))) (* (* J -2) (sqrt (+ (* (pow (* (cos (* 1/2 K)) (/ J U)) -2) 1/4) 1))) (* J -2) (sqrt (+ (* (pow (* (cos (* 1/2 K)) (/ J U)) -2) 1/4) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (* (* (+ (* (* K K) -1/8) 1) U) 1/2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (pow (* (cos (* 1/2 K)) (/ J U)) -2) (* (cos (* 1/2 K)) (/ J U)) (* 1/2 U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (/ (* U U) J) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))
6.0ms	U	@	0	((* (* (* J -2) (sqrt (+ (* (pow (* (cos (* 1/2 K)) (/ J U)) -2) 1/4) 1))) (cos (* 1/2 K))) (* (* J -2) (sqrt (+ (* (pow (* (cos (* 1/2 K)) (/ J U)) -2) 1/4) 1))) (* J -2) (sqrt (+ (* (pow (* (cos (* 1/2 K)) (/ J U)) -2) 1/4) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (* (* (+ (* (* K K) -1/8) 1) U) 1/2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) -2) (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (pow (* (cos (* 1/2 K)) (/ J U)) -2) (* (cos (* 1/2 K)) (/ J U)) (* 1/2 U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (/ (* U U) J) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)))

simplify314.0ms (3.3%)

Memory

7.2MiB live, 365.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1453	11551
1	4856	11318
0	8590	10581

Stop Event

1×	iter limit
1×	node limit

Counts

280 → 279

Calls

Call 1

Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -1 (/ U (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (/ U (cos (* 1/2 K)))))
(+ (* -1 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))))))
(+ (* -1 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))))))))
(* -2 J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2)))))))
(+ (* -2 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))) (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))))
(+ (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3)))))) (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))))
(+ (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))) (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -5/4 (/ (pow K 2) (pow U 5))) (* 2 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 5)))))) (* -2 (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3))))))))))
(+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3))))) (/ 1 U))))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (+ (* 3/8 (/ (pow K 2) (pow U 3))) (* (pow J 2) (+ (* -5/4 (/ (pow K 2) (pow U 5))) (* 2 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 5)))))))) (/ 1 U))))))
(+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* -1/2 K)) 4) (pow U 3))))))))
(+ (* -2 (/ (pow J 2) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))
(+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
(* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 5))) (* 2 (/ (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K))) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))
(/ (* J (cos (* 1/2 K))) U)
(* 1/2 (* U (+ 1 (* -1/8 (pow K 2)))))
(+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))
(/ (pow U 2) J)
(* 2 (/ J U))
(* J (+ (* -4 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U))))
(* J (+ (* (pow J 2) (- (* 12 (/ (pow J 2) (pow U 5))) (* 4 (/ 1 (pow U 3))))) (* 2 (/ 1 U))))
(* J (+ (* (pow J 2) (- (* (pow J 2) (+ (* -40 (/ (pow J 2) (pow U 7))) (* 12 (/ 1 (pow U 5))))) (* 4 (/ 1 (pow U 3))))) (* 2 (/ 1 U))))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* J (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))) (* 2 (/ (cos (* -1/2 K)) U))))
(* J (+ (* 2 (/ (cos (* -1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* -1/4 (/ (* (pow J 2) (* U (+ (* -64 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 16 (/ (pow (cos (* -1/2 K)) 6) (pow U 6)))))) (cos (* -1/2 K))))))))
(* J (+ (* 2 (/ (cos (* -1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* (pow J 2) (+ (* -1/4 (/ (* U (+ (* -64 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 16 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))))) (cos (* -1/2 K)))) (* -1/4 (/ (* (pow J 2) (* U (+ (* 2 (/ (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 16 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))))) (pow U 2))) (* 256 (/ (pow (cos (* -1/2 K)) 8) (pow U 8)))))) (cos (* -1/2 K))))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* J (- (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* -2 (* J (+ 1 (* -1/8 (pow K 2)))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (* -2 (/ (+ (* 1/32 (* (pow K 2) (pow U 2))) (* 1/8 (* (pow U 2) (+ 1 (* -1/8 (pow K 2)))))) (pow J 2)))))
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(* -1 (* U (+ (* -2 (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))) (+ (* -2 (/ (+ (* -1 (* (pow J 4) (+ 1 (* -1/8 (pow K 2))))) (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (pow J 2)))) (pow U 4))) (+ (* -2 (/ (+ (* -1/8 (* (pow J 2) (pow K 2))) (* (pow J 2) (+ 1 (* -1/8 (pow K 2))))) (pow U 2))) (* -2 (/ (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (pow J 2))) (* 2 (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))))) (pow U 6))))))))
(* -1 (* U (+ (* 1/16 (pow K 2)) (* 1/2 (+ 1 (* -1/8 (pow K 2)))))))
(* -1 (* U (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2)))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 4) (+ 1 (* -1/8 (pow K 2)))) (pow U 4))) (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (* (pow J 2) (pow U 4)))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2)))))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 4) (+ 1 (* -1/8 (pow K 2)))) (pow U 4))) (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (* (pow J 2) (pow U 4)))) (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (* (pow J 2) (pow U 6)))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (+ (* 2 (/ (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))) (pow U 6))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2)))))))))))
(* -1 (* U (+ (* -1/2 (+ 1 (* -1/8 (pow K 2)))) (* -1/16 (pow K 2)))))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4))))) 1)))
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))))
(* -1 (* U (+ (* -1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (- (* 1/4 (pow K 2)) 1)) (pow U 2)))))
(* -1 (* U (+ (* -1/2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -1/16 (pow K 2)) (/ (* (pow J 2) (- (* 1/4 (pow K 2)) 1)) (pow U 2))))))
(* -2 (/ J U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (* 2 J)) U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (* 2 J))) U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* J (pow U 6)))) (* 2 J)))) U))
(* -2 (/ (* J (cos (* -1/2 K))) U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (* 2 (* J (cos (* -1/2 K))))) U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K)))))) U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))) (* 256 (* (pow J 8) (pow (cos (* -1/2 K)) 8)))) (* J (* (pow U 6) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K))))))) U))

Outputs
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -2 binary64) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64)))) #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (.f64 J J) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64)))) #s(literal -4 binary64) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 J J) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U))
(* -1 (/ U (cos (* 1/2 K))))
(/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (/ U (cos (* 1/2 K)))))
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(+ (* -1 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) #s(literal 2 binary64) (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) #s(literal -2 binary64))) (.f64 J J) (/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ (* -1 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))))))))
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(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(.f64 (/.f64 (/.f64 U J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/.f64 (fma.f64 (.f64 J J) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (/.f64 (.f64 #s(literal 1/2 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/.f64 (fma.f64 (fma.f64 (neg.f64 (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)) (.f64 J J) (/.f64 (.f64 #s(literal 1/2 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (neg.f64 (pow.f64 U #s(literal 3 binary64))))) (.f64 J J) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)) (.f64 J J) (/.f64 (.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2)))))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) U) #s(literal 1/16 binary64))) #s(literal -2 binary64))
(+ (* -2 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))) (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))))
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(+ (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3)))))) (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 K K) (pow.f64 U #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (pow.f64 U #s(literal 3 binary64)))) (.f64 J J) (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)))) (.f64 J J) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) U) #s(literal 1/16 binary64))) #s(literal -2 binary64)))
(+ (* -2 (+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))) (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -5/4 (/ (pow K 2) (pow U 5))) (* 2 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 5)))))) (* -2 (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (pow.f64 U #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (.f64 #s(literal -5/4 binary64) (.f64 K K)) (pow.f64 U #s(literal 5 binary64)))) (.f64 J J) (fma.f64 (/.f64 (.f64 K K) (pow.f64 U #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (pow.f64 U #s(literal 3 binary64)))))) (.f64 J J) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) #s(literal -2 binary64))) (.f64 J J) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64))) #s(literal -2 binary64)))
(+ (* 1/16 (* (pow K 2) U)) (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))))
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(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))))
(fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (.f64 J J) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (* 3/8 (/ (pow K 2) (pow U 3))))) (/ 1 U))))))
(fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 K K) (pow.f64 U #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (pow.f64 U #s(literal 3 binary64)))) (.f64 J J) (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U))) (.f64 J J) (.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))
(+ (* 1/16 (* (pow K 2) U)) (+ (* 1/2 (* U (+ 1 (* -1/8 (pow K 2))))) (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (+ (* -1 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 3))) (+ (* 3/8 (/ (pow K 2) (pow U 3))) (* (pow J 2) (+ (* -5/4 (/ (pow K 2) (pow U 5))) (* 2 (/ (+ 1 (* -1/8 (pow K 2))) (pow U 5)))))))) (/ 1 U))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (pow.f64 U #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (.f64 #s(literal -5/4 binary64) (.f64 K K)) (pow.f64 U #s(literal 5 binary64)))) (.f64 J J) (fma.f64 (/.f64 (.f64 K K) (pow.f64 U #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (pow.f64 U #s(literal 3 binary64))))) (.f64 J J) (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U))) (.f64 J J) (fma.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) U) #s(literal 1/16 binary64))))
(+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -2 binary64) (neg.f64 U))
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(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* -1/2 K)) 4) (pow U 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64)))) #s(literal -4 binary64) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 J J) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U))
(+ (* -2 (/ (pow J 2) U)) (* -1 U))
(fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))
(fma.f64 (fma.f64 (/.f64 (.f64 J J) (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) U)) (.f64 J J) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))
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(* 1/2 (/ U J))
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(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
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(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3))))))))
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(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
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(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))
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(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
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(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))))
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(* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))
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(* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* 1/16 (/ (* (pow K 2) U) (pow J 2))) (+ (* 1/2 (/ (* U (+ 1 (* -1/8 (pow K 2)))) (pow J 2))) (/ 1 U)))))
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(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/64 (pow U 6)) (* 1/8 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4)))))) (pow J 6))) (* -1/8 (/ (pow U 2) (pow J 2))))))
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(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
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(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))
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(* U (+ (* -1 (/ (* (pow J 4) (+ 1 (* -1/8 (pow K 2)))) (pow U 4))) (+ (* -1/8 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* -1/128 (/ (* (pow K 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6)))) (* (pow J 2) (pow U 4)))) (+ (* -1/128 (/ (* (pow K 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8)))) (* (pow J 2) (pow U 6)))) (+ (* 1/16 (pow K 2)) (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (+ (* 2 (/ (* (pow J 6) (+ 1 (* -1/8 (pow K 2)))) (pow U 6))) (/ (* (pow J 2) (+ 1 (* -1/8 (pow K 2)))) (pow U 2))))))))))
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(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))
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(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
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(* U (+ (* 1/2 (+ 1 (* -1/8 (pow K 2)))) (/ (* (pow J 2) (+ 1 (* -1/4 (pow K 2)))) (pow U 2))))
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(/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (* 2 (* J (cos (* -1/2 K))))) U)
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(/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K)))))) U)
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(/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))) (* 256 (* (pow J 8) (pow (cos (* -1/2 K)) 8)))) (* J (* (pow U 6) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K))))))) U)
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U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
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(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
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(.f64 (fma.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -1 binary64)) U) (/.f64 (.f64 J J) U) (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (neg.f64 U))
(* -1 (* U (+ (* -1/2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -1/16 (pow K 2)) (/ (* (pow J 2) (- (* 1/4 (pow K 2)) 1)) (pow U 2))))))
(.f64 (fma.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -1 binary64)) U) (/.f64 (.f64 J J) U) (fma.f64 #s(literal -1/16 binary64) (.f64 K K) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (neg.f64 U))
(* -2 (/ J U))
(*.f64 (/.f64 J U) #s(literal -2 binary64))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (* 2 J)) U))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) U) (/.f64 (pow.f64 J #s(literal 3 binary64)) U) (*.f64 #s(literal 2 binary64) J)) (neg.f64 U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (* 2 J))) U))
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 U #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) J) (fma.f64 (/.f64 #s(literal -4 binary64) U) (/.f64 (pow.f64 J #s(literal 3 binary64)) U) (.f64 #s(literal 2 binary64) J))) (neg.f64 U))
(* -1 (/ (+ (* -4 (/ (pow J 3) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* J (pow U 4)))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* J (pow U 6)))) (* 2 J)))) U))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) U) (/.f64 (pow.f64 J #s(literal 3 binary64)) U) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 4 binary64))) (/.f64 #s(literal -48 binary64) J) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) (.f64 (pow.f64 J #s(literal 8 binary64)) #s(literal 256 binary64))) (.f64 (pow.f64 U #s(literal 6 binary64)) J))) (.f64 #s(literal 2 binary64) J))) (neg.f64 U))
(* -2 (/ (* J (cos (* -1/2 K))) U))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (* 2 (* J (cos (* -1/2 K))))) U))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) U) (/.f64 (.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) U) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (neg.f64 U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K)))))) U))
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64))) J) (fma.f64 (/.f64 #s(literal -4 binary64) U) (/.f64 (.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) U) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) (neg.f64 U))
(* -1 (/ (+ (* -4 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* -1/4 (/ (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* J (* (pow U 4) (cos (* -1/2 K)))))) (+ (* -1/4 (/ (+ (* 2 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -64 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 16 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))) (* 256 (* (pow J 8) (pow (cos (* -1/2 K)) 8)))) (* J (* (pow U 6) (cos (* -1/2 K)))))) (* 2 (* J (cos (* -1/2 K))))))) U))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64))) (.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (/.f64 #s(literal -48 binary64) J) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (.f64 (.f64 (pow.f64 J #s(literal 8 binary64)) #s(literal 256 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 8 binary64)))) (.f64 (.f64 (pow.f64 U #s(literal 6 binary64)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) (fma.f64 (/.f64 #s(literal -4 binary64) U) (/.f64 (.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) U) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) (neg.f64 U))

rewrite204.0ms (2.1%)

Memory

-20.3MiB live, 208.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	945
0	155	926
1	612	881
2	4130	867
0	8221	829

Stop Event

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

Counts

27 → 268

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(*.f64 J #s(literal -2 binary64))
(sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64))
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U)))
#s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))
(.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64))
#s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
(*.f64 #s(literal -2 binary64) J)
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U))
(*.f64 #s(literal 1/2 binary64) U)
#s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))
(/.f64 (*.f64 U U) J)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
#s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))

Outputs
(.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64))))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64))) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64))))
(.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64))) (/.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (/.f64 #s(literal -2 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)))
(.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal 2 binary64) J)) (pow.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64)))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 J (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(.f64 J (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
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(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log1p.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
#s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))

eval157.0ms (1.6%)

Memory: 14.1MiB live, 219.9MiB allocated
Compiler: Compiled 41 783 to 3 132 computations (92.5% saved)

prune63.0ms (0.7%)

Memory

10.6MiB live, 92.3MiB allocated

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	548	16	564
Fresh	13	7	20
Picked	3	2	5
Done	0	2	2
Total	564	27	591

Accuracy

100.0%

Counts

591 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.8%	(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
	70.6%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal -2 binary64) J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓	70.7%	(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
	62.9%	(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(approx (pow ( (cos (* 1/2 K)) (/ J U)) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
	53.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
	32.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
	32.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
	61.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))))
	48.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) #s(approx (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))
	32.7%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
	50.3%	#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
	42.1%	#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
	51.4%	#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
	10.5%	#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))))
	31.7%	#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))
	11.3%	#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
	28.4%	#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
	39.8%	#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
	13.4%	#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U))))
	23.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))
	28.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) U) (.f64 (.f64 #s(literal 1/16 binary64) (*.f64 K K)) U))) #s(literal -2 binary64)))
	2.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) #s(approx (* (* (+ (* (* K K) -1/8) 1) U) 1/2) (.f64 #s(literal -1/16 binary64) (.f64 (*.f64 K K) U)))))) #s(literal -2 binary64)))
	28.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 #s(literal -1/8 binary64) K)) K (fma.f64 #s(literal 1/2 binary64) U (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U)))) #s(literal -2 binary64)))
	27.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
✓	39.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
✓	13.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
✓	39.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 5 179 to 1 427 computations (72.4% saved)

regimes127.0ms (1.3%)

Memory

-6.3MiB live, 187.0MiB allocated

Counts

63 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) #s(approx (* (* (+ (* (* K K) -1/8) 1) U) 1/2) (.f64 #s(literal -1/16 binary64) (.f64 (*.f64 K K) U)))))) #s(literal -2 binary64)))
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(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal -2 binary64) J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (exp.f64 (log.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
(/.f64 (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -4 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64))))

Outputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))

Calls

6 calls:

21.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
21.0ms	K
21.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
21.0ms	J
21.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
78.8%	2	`J`
70.8%	1	`K`
80.5%	2	`U`
99.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
70.8%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
70.8%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes22.0ms (0.2%)

Memory

-2.9MiB live, 33.7MiB allocated

Counts

56 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) #s(approx (* (* (+ (* (* K K) -1/8) 1) U) 1/2) (.f64 #s(literal -1/16 binary64) (.f64 (*.f64 K K) U)))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 U K) (.f64 #s(literal 1/16 binary64) K) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) U) (.f64 (.f64 #s(literal 1/16 binary64) (*.f64 K K)) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) #s(literal -1/8 binary64)) (.f64 K K) (fma.f64 #s(literal 1/2 binary64) U (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 #s(literal -1/8 binary64) K)) K (fma.f64 #s(literal 1/2 binary64) U (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U)))) #s(literal -2 binary64)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) K) (.f64 U K) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) #s(literal -1/8 binary64)) (.f64 K K))) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64))) (.f64 U U) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64))) (.f64 U U) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))) #s(literal -2 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) (fma.f64 (/.f64 #s(literal 1/32 binary64) J) (.f64 (.f64 K K) (/.f64 (.f64 U U) J)) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) J) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)))) J J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) J) (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J) (.f64 (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64)) (/.f64 (.f64 U U) J)))) J J)) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(approx (pow ( (cos (* 1/2 K)) (/ J U)) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) #s(approx (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) #s(approx (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 K K) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Outputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))

Calls

1 calls:

18.0ms

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
99.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes25.0ms (0.3%)

Memory

-2.1MiB live, 40.8MiB allocated

Counts

55 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) #s(approx (* (* (+ (* (* K K) -1/8) 1) U) 1/2) (.f64 #s(literal -1/16 binary64) (.f64 (*.f64 K K) U)))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 U K) (.f64 #s(literal 1/16 binary64) K) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) U) (.f64 (.f64 #s(literal 1/16 binary64) (*.f64 K K)) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) #s(literal -1/8 binary64)) (.f64 K K) (fma.f64 #s(literal 1/2 binary64) U (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 #s(literal -1/8 binary64) K)) K (fma.f64 #s(literal 1/2 binary64) U (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U)))) #s(literal -2 binary64)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) K) (.f64 U K) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) #s(literal -1/8 binary64)) (.f64 K K))) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64))) (.f64 U U) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64))) (.f64 U U) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))) #s(literal -2 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) (fma.f64 (/.f64 #s(literal 1/32 binary64) J) (.f64 (.f64 K K) (/.f64 (.f64 U U) J)) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) J) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)))) J J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) J) (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J) (.f64 (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64)) (/.f64 (.f64 U U) J)))) J J)) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(approx (pow ( (cos (* 1/2 K)) (/ J U)) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) #s(approx (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) #s(approx (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 K K) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))

Outputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))

Calls

1 calls:

21.0ms

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
99.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes20.0ms (0.2%)

Memory

27.2MiB live, 63.8MiB allocated

Counts

53 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) #s(approx (* (* (+ (* (* K K) -1/8) 1) U) 1/2) (.f64 #s(literal -1/16 binary64) (.f64 (*.f64 K K) U)))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 U K) (.f64 #s(literal 1/16 binary64) K) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) U) (.f64 (.f64 #s(literal 1/16 binary64) (*.f64 K K)) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) #s(literal -1/8 binary64)) (.f64 K K) (fma.f64 #s(literal 1/2 binary64) U (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 #s(literal -1/8 binary64) K)) K (fma.f64 #s(literal 1/2 binary64) U (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U)))) #s(literal -2 binary64)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) K) (.f64 U K) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) #s(literal -1/8 binary64)) (.f64 K K))) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64))) (.f64 U U) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64))) (.f64 U U) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))) #s(literal -2 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) (fma.f64 (/.f64 #s(literal 1/32 binary64) J) (.f64 (.f64 K K) (/.f64 (.f64 U U) J)) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) J) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)))) J J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) J) (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J) (.f64 (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64)) (/.f64 (.f64 U U) J)))) J J)) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(approx (pow ( (cos (* 1/2 K)) (/ J U)) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) #s(approx (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) #s(approx (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 K K) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))

Outputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))

Calls

1 calls:

16.0ms

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
99.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes21.0ms (0.2%)

Memory

-2.6MiB live, 36.0MiB allocated

Counts

52 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) #s(approx (* (* (+ (* (* K K) -1/8) 1) U) 1/2) (.f64 #s(literal -1/16 binary64) (.f64 (*.f64 K K) U)))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 U K) (.f64 #s(literal 1/16 binary64) K) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) U) (.f64 (.f64 #s(literal 1/16 binary64) (*.f64 K K)) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) #s(literal -1/8 binary64)) (.f64 K K) (fma.f64 #s(literal 1/2 binary64) U (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 #s(literal -1/8 binary64) K)) K (fma.f64 #s(literal 1/2 binary64) U (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U)))) #s(literal -2 binary64)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) K) (.f64 U K) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) #s(literal -1/8 binary64)) (.f64 K K))) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64))) (.f64 U U) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64))) (.f64 U U) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))) #s(literal -2 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) (fma.f64 (/.f64 #s(literal 1/32 binary64) J) (.f64 (.f64 K K) (/.f64 (.f64 U U) J)) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) J) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)))) J J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) J) (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J) (.f64 (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64)) (/.f64 (.f64 U U) J)))) J J)) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(approx (pow ( (cos (* 1/2 K)) (/ J U)) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) #s(approx (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) #s(approx (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 K K) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Outputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(approx (pow (* (cos (* 1/2 K)) (/ J U)) -2) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))

Calls

1 calls:

14.0ms

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
91.9%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes15.0ms (0.2%)

Memory

-12.6MiB live, 25.6MiB allocated

Counts

37 → 5

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) #s(approx (* (* (+ (* (* K K) -1/8) 1) U) 1/2) (.f64 #s(literal -1/16 binary64) (.f64 (*.f64 K K) U)))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 U K) (.f64 #s(literal 1/16 binary64) K) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) U) (.f64 (.f64 #s(literal 1/16 binary64) (*.f64 K K)) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) #s(literal -1/8 binary64)) (.f64 K K) (fma.f64 #s(literal 1/2 binary64) U (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 #s(literal -1/8 binary64) K)) K (fma.f64 #s(literal 1/2 binary64) U (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U)))) #s(literal -2 binary64)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) K) (.f64 U K) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) #s(literal -1/8 binary64)) (.f64 K K))) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64))) (.f64 U U) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64))) (.f64 U U) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))) #s(literal -2 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) (fma.f64 (/.f64 #s(literal 1/32 binary64) J) (.f64 (.f64 K K) (/.f64 (.f64 U U) J)) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) J) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)))) J J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) J) (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J) (.f64 (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64)) (/.f64 (.f64 U U) J)))) J J)) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))) #s(literal -2 binary64)))

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))

Calls

1 calls:

12.0ms

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
88.2%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes39.0ms (0.4%)

Memory

3.9MiB live, 56.2MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) #s(approx (* (* (+ (* (* K K) -1/8) 1) U) 1/2) (.f64 #s(literal -1/16 binary64) (.f64 (*.f64 K K) U)))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 U K) (.f64 #s(literal 1/16 binary64) K) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) U) (.f64 (.f64 #s(literal 1/16 binary64) (*.f64 K K)) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) #s(literal -1/8 binary64)) (.f64 K K) (fma.f64 #s(literal 1/2 binary64) U (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 #s(literal -1/8 binary64) K)) K (fma.f64 #s(literal 1/2 binary64) U (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U)))) #s(literal -2 binary64)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) K) (.f64 U K) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) #s(literal -1/8 binary64)) (.f64 K K))) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64))) (.f64 U U) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64))) (.f64 U U) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U (fma.f64 (.f64 #s(literal 1/2 binary64) U) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J))))) #s(literal -2 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos ( K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) (fma.f64 (/.f64 #s(literal 1/32 binary64) J) (.f64 (.f64 K K) (/.f64 (.f64 U U) J)) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) J) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)))) J J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) J) (/.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J) (.f64 (.f64 (/.f64 (.f64 K K) J) #s(literal 1/32 binary64)) (/.f64 (.f64 U U) J)))) J J)) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow (+ (pow (/ (/ (/ U J) -2) (cos (* K -1/2))) 2) 1) -1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))

Outputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))

Calls

3 calls:

17.0ms

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

10.0ms

Results

Accuracy	Segments	Branch
55.8%	2	`J`
57.5%	2	`U`
77.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes34.0ms (0.4%)

Memory

-22.8MiB live, 52.7MiB allocated

Counts

23 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) #s(approx (* (* (+ (* (* K K) -1/8) 1) U) 1/2) (.f64 #s(literal -1/16 binary64) (.f64 (*.f64 K K) U)))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 U K) (.f64 #s(literal 1/16 binary64) K) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) U) (.f64 (.f64 #s(literal 1/16 binary64) (*.f64 K K)) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) #s(literal -1/8 binary64)) (.f64 K K) (fma.f64 #s(literal 1/2 binary64) U (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 #s(literal -1/8 binary64) K)) K (fma.f64 #s(literal 1/2 binary64) U (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U)))) #s(literal -2 binary64)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) K) (.f64 U K) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) #s(literal -1/8 binary64)) (.f64 K K))) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) J)) #s(literal -2 binary64)))

Outputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) J)) #s(literal -2 binary64)))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))

Calls

4 calls:

9.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
9.0ms	K
7.0ms	(/.f64 K #s(literal 2 binary64))
7.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
51.0%	6	`K`
51.0%	6	`(/.f64 K #s(literal 2 binary64))`
56.6%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
72.1%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes8.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

22 → 4

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) #s(approx (* (* (+ (* (* K K) -1/8) 1) U) 1/2) (.f64 #s(literal -1/16 binary64) (.f64 (*.f64 K K) U)))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 U K) (.f64 #s(literal 1/16 binary64) K) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 K K) #s(literal 1/16 binary64)) U #s(approx (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J))) (.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) U) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 K K) U) #s(literal 1/16 binary64)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) U) (.f64 (.f64 #s(literal 1/16 binary64) (*.f64 K K)) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) #s(literal -1/8 binary64)) (.f64 K K) (fma.f64 #s(literal 1/2 binary64) U (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 #s(literal -1/8 binary64) K)) K (fma.f64 #s(literal 1/2 binary64) U (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U)))) #s(literal -2 binary64)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (+.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) K) (.f64 U K) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) U) #s(literal -1/8 binary64)) (.f64 K K))) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))

Calls

1 calls:

6.0ms

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
64.2%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

10 → 4

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (* K K) 1/16) U) (+ (* (* 1/2 U) (+ (* -1/8 (* K K)) 1)) (* (+ (* (/ (* K K) U) -1/4) (/ 1 U)) (* J J)))) (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (/ (* (cos (/ K -2)) (* J -2)) (pow (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) -1/2)) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))

Calls

1 calls:

4.0ms

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
62.9%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0.1%)

Memory

-30.8MiB live, 8.1MiB allocated

Counts

6 → 4

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) (+.f64 #s(literal 0 binary64) U)))

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))

Calls

1 calls:

4.0ms

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
62.8%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (+ (* -1/8 (* K K)) 1) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) J)) (* (* (* K K) (* (/ (* U U) J) 1/32)) (sqrt (/ 1 (+ (* (/ (* 1/4 U) J) (/ U J)) 1))))) #s(approx (+ (* (* (+ (* -1/8 (* K K)) 1) U) 1/2) (* (* (* K K) U) 1/16)) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))

Outputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))

Calls

4 calls:

2.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
2.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
2.0ms	U
2.0ms	J

Results

Accuracy	Segments	Branch
52.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
39.8%	1	`J`
39.8%	1	`U`
52.2%	2	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 30 to 29 computations (3.3% saved)

regimes37.0ms (0.4%)

Memory

-27.5MiB live, 17.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Calls

5 calls:

32.0ms	K
1.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms	J
1.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
39.8%	1	`J`
39.8%	1	`K`
39.8%	1	`(/.f64 K #s(literal 2 binary64))`
39.8%	1	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
39.8%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 33 to 34 computations (-3% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.056471283478538e+302	+inf
0.0ms	-inf	-2.59742081851869e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.056471283478538e+302	+inf
0.0ms	-inf	-2.59742081851869e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.056471283478538e+302	+inf
0.0ms	-inf	-2.59742081851869e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.056471283478538e+302	+inf
0.0ms	-inf	-2.59742081851869e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.056471283478538e+302	+inf
0.0ms	-inf	-2.59742081851869e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.056471283478538e+302	+inf
0.0ms	-5.845108364973511e-258	-8.371015421124594e-281
0.0ms	-3.5576752660530366e+195	-1.8552075794090557e+191
0.0ms	-inf	-2.59742081851869e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-7.06811259032251e-299	5.062654218253895e-246
0.0ms	-inf	-2.59742081851869e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-7.06811259032251e-299	5.062654218253895e-246
0.0ms	-inf	-2.59742081851869e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-7.06811259032251e-299	5.062654218253895e-246
0.0ms	-9.972180174755998e-102	-1.2490346553309827e-121
0.0ms	-inf	-2.59742081851869e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-7.06811259032251e-299	5.062654218253895e-246
0.0ms	-9.972180174755998e-102	-1.2490346553309827e-121
0.0ms	-inf	-2.59742081851869e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-7.06811259032251e-299	5.062654218253895e-246
0.0ms	-9.972180174755998e-102	-1.2490346553309827e-121
0.0ms	-inf	-2.59742081851869e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.06811259032251e-299	5.062654218253895e-246

Compiler

Compiled 27 to 23 computations (14.8% saved)

simplify101.0ms (1.1%)

Memory

-19.9MiB live, 93.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	2401
1	278	2401
2	503	2401
3	1108	2401
4	2536	2401
5	4341	2401
6	4434	2401
7	5257	2401
8	7203	2401

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 400000000000000030518812316339579701389387420602627246806406936824845521152503177936568755858767136306558990308554195045488841551379199753167262445402079323000670599425955926506145472381658429256940604233493835947563300622636254470863452821130489562037136733759434468412334942695399596818281992630042624 binary64)) (/.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Outputs
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

soundness1.3s (13.8%)

Memory

21.7MiB live, 896.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	475
0	123	460
1	397	445
2	2661	430
0	8528	419
0	1453	11551
1	4856	11318
0	8590	10581
0	389	2612
1	1271	2494
2	5093	2348
0	8570	2206
0	17	76
0	28	76
1	79	76
2	432	76
3	4372	76
0	8150	76
0	1168	9193
1	3972	9020
0	8074	8445
0	1194	9302
1	4025	9166
0	8040	8568
0	110	776
0	161	766
1	593	724
2	4257	713
0	8501	692

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 3 517 to 933 computations (73.5% saved)

preprocess256.0ms (2.7%)

Memory: 2.6MiB live, 202.6MiB allocated
Remove: (abs K)
Compiler: Compiled 6 380 to 1 102 computations (82.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze275.0ms (2.9%)

sample1.8s (18.5%)

explain217.0ms (2.3%)

preprocess106.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify48.0ms (0.5%)

localize54.0ms (0.6%)

series55.0ms (0.6%)

simplify182.0ms (1.9%)

rewrite191.0ms (2%)

eval80.0ms (0.8%)

prune39.0ms (0.4%)

simplify148.0ms (1.5%)

localize388.0ms (4.1%)

series175.0ms (1.8%)

simplify220.0ms (2.3%)

rewrite320.0ms (3.4%)

eval206.0ms (2.2%)

prune105.0ms (1.1%)

simplify193.0ms (2%)

localize521.0ms (5.4%)

series89.0ms (0.9%)

simplify180.0ms (1.9%)

rewrite203.0ms (2.1%)

eval128.0ms (1.3%)

prune57.0ms (0.6%)

simplify248.0ms (2.6%)

localize501.0ms (5.2%)

series71.0ms (0.7%)

simplify314.0ms (3.3%)

rewrite204.0ms (2.1%)

eval157.0ms (1.6%)

prune63.0ms (0.7%)

regimes127.0ms (1.3%)

regimes22.0ms (0.2%)

regimes25.0ms (0.3%)

regimes20.0ms (0.2%)

regimes21.0ms (0.2%)

regimes15.0ms (0.2%)

regimes39.0ms (0.4%)

regimes34.0ms (0.4%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes37.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify101.0ms (1.1%)

soundness1.3s (13.8%)

preprocess256.0ms (2.7%)

end0.0ms (0%)

Profiling