Metrics for Maksimov and Kolovsky, Equation (3)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze515.0ms (7.6%)

Memory

-8.3MiB live, 561.3MiB allocated; 198ms collecting garbage

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)

sample1.7s (24.5%)

Memory

41.9MiB live, 2 970.2MiB allocated; 364ms collecting garbage

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 972.0ms

ival-mult: 344.0ms (35.4% of total)

ival-cos: 257.0ms (26.4% of total)

ival-div: 114.0ms (11.7% of total)

ival-pow2: 103.0ms (10.6% of total)

ival-sqrt: 84.0ms (8.6% of total)

ival-add: 44.0ms (4.5% of total)

exact: 14.0ms (1.4% of total)

ival-true: 6.0ms (0.6% of total)

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

adjust: 2.0ms (0.2% of total)

Bogosity

explain436.0ms (6.5%)

Memory

-4.3MiB live, 555.6MiB allocated; 184ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
38	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	131	(-3.0802502617620157e+234 -3.317674989768489e+146 -3.4642455390499883e+233)	-	`(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	131	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	38	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	67
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	67
`*.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 -
+	67	0
-	97	92

Precision

0.40853658536585363

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	67	0	0
-	97	0	92

Precision?

0.40853658536585363

Recall?

1.0

Freqs

test

number	freq
0	92
1	130
2	34

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

162.0ms

512×

valid

Compiler

Compiled 248 to 55 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-div: 68.0ms (62.5% of total)

ival-mult: 16.0ms (14.7% of total)

ival-cos: 12.0ms (11% of total)

ival-pow2: 5.0ms (4.6% of total)

ival-sqrt: 4.0ms (3.7% of total)

ival-add: 3.0ms (2.8% of total)

exact: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess194.0ms (2.9%)

Memory

-14.9MiB live, 217.5MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	222
1	198	216
2	621	216
3	2458	216
4	7916	216
0	17	24
0	28	24
1	52	24
2	124	24
3	397	24
4	1954	24
5	7914	24
0	8030	24

Stop Event

1×	iter limit
1×	node limit
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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.0%	(.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)))))

Status

Accuracy

Program

▶

75.0%

(*.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)))))

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify176.0ms (2.6%)

Memory

1.3MiB live, 104.5MiB allocated; 42ms collecting garbage

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	52	110
2	124	110
3	397	110
4	1954	110
5	7914	110
0	8030	110

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 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)))
(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 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 #s(literal 2 binary64) J)

localize68.0ms (1%)

Memory

-17.9MiB live, 71.8MiB allocated; 16ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.22332001953688402	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	6.8240880423916925	(.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	8.921241198674416	(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

46.0ms

256×

valid

Compiler

Compiled 112 to 19 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 8.0ms (34.4% of total)

ival-cos: 6.0ms (25.8% of total)

ival-div: 3.0ms (12.9% of total)

ival-pow2: 3.0ms (12.9% of total)

ival-sqrt: 2.0ms (8.6% of total)

ival-add: 1.0ms (4.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series65.0ms (1%)

Memory

14.4MiB live, 69.0MiB allocated; 14ms collecting garbage

Counts

6 → 61

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))

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))))))))))
(* -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
30.0ms	U	@	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))
7.0ms	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))
6.0ms	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))
5.0ms	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))
3.0ms	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))

simplify204.0ms (3%)

Memory

-6.7MiB live, 182.0MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	2499
1	1287	2383
2	6376	2379
0	8163	2239

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 60

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))))))))))
(* -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 (.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (.f64 J J) (pow.f64 U #s(literal 3 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 #s(literal 1/2 binary64) U) J) (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 #s(literal 1/4 binary64) J) (/.f64 (.f64 U 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 #s(literal -1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.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 #s(literal -1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.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 #s(literal -1/4 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (/.f64 U J) (/.f64 U J)) (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 (neg.f64 J) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))))
(* -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 #s(literal 1/4 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (/.f64 U J) (/.f64 U 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 #s(literal 1/4 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (/.f64 U J) (/.f64 U 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 #s(literal 1/4 binary64) J) (/.f64 (.f64 U 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 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) J (.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 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 K K) (.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))
(+ (* -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)))))))))))))
(fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) J (.f64 (.f64 (.f64 K K) #s(literal -2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal -1/256 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)))) (fma.f64 (.f64 #s(literal 1/384 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) J (.f64 (.f64 #s(literal 1/2 binary64) J) (.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 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 K K) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) J (.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 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)))))))))
(+ (* -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))))))))))))))))
(fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) J (.f64 (fma.f64 (.f64 (.f64 K K) #s(literal -2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal -1/16 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 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) J) (fma.f64 (.f64 #s(literal -1/46080 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) J (.f64 (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)))) (fma.f64 (.f64 #s(literal 1/2 binary64) J) (fma.f64 (.f64 #s(literal -1/32 binary64) (.f64 (/.f64 U J) (/.f64 U J))) (/.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 13/2880 binary64) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64))) (.f64 #s(literal 1/12288 binary64) (/.f64 (.f64 U U) J)))))) (.f64 K K) (fma.f64 (.f64 #s(literal -1/256 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)))) (fma.f64 (.f64 #s(literal 1/384 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) J (.f64 (.f64 #s(literal 1/2 binary64) J) (.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 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))))))))) (fma.f64 #s(literal -1/16 binary64) (.f64 (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)) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) J) #s(literal 1/4 binary64)))) (*.f64 K K)))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal 1/4 binary64) J)) 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 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))
(+ 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 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U 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) (.f64 U 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)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U 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 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 K K)) (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 U U)) (.f64 J J)))) (.f64 K K) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U 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 (.f64 K K) #s(literal 1/2 binary64)) (.f64 (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 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) (.f64 (/.f64 U J) (/.f64 U J))) (/.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 13/2880 binary64) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64))) (.f64 K K)))) (.f64 (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 U 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)))))) (.f64 K K) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) (.f64 U U) (.f64 (.f64 U U) #s(literal 1/4 binary64))) (.f64 J J))
(+ (* 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 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) (.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) J) (/.f64 (.f64 U U) J) (.f64 (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64)) (.f64 K K))) (.f64 K K)))
(+ (* 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))))))))))
(+.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) (.f64 U U) (.f64 (.f64 U U) #s(literal 1/4 binary64))) (.f64 J J)) (.f64 (pow.f64 K #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 K K) #s(literal -1/4 binary64)) (fma.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 13/2880 binary64) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/96 binary64))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64)))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(.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 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(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 #s(literal 1/64 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #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))))
(+ (* -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 #s(literal 1/64 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #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 #s(literal 1/1024 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (.f64 U 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 J) (*.f64 U 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 #s(literal -2 binary64) (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) (.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 -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 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) (.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 -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 (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 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 (/ (* (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 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 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 J) (*.f64 U 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 #s(literal -2 binary64) (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) (.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 -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 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) (.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 -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 (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 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))
(* -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 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 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))

rewrite67.0ms (1%)

Memory

-1.1MiB live, 44.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	66
0	28	66
1	80	60
0	467	60

Stop Event

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

Counts

6 → 66

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))

Outputs
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) #s(literal -2 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (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))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))))
(.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.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 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 (.f64 J #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))))
(.f64 (.f64 J #s(literal -2 binary64)) (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 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) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))))
(.f64 #s(literal -2 binary64) (.f64 J (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) J)
(.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) J))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 2 binary64) J) (neg.f64 (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) (neg.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(neg.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
(neg.f64 (*.f64 #s(literal 2 binary64) J))
(fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (/.f64 K #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(+.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 (pow.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)) #s(literal 1/4 binary64)) (pow.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)) #s(literal 1/4 binary64)))
(pow.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)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 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 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #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)))
(exp.f64 (.f64 (log1p.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 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.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)))))
(.f64 (neg.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (neg.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(.f64 (fabs.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fabs.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(.f64 (exp.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (exp.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #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))
(.f64 (/.f64 (/.f64 U (.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)))))
(.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) #s(literal 2 binary64))
(pow.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))
(pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))
(/.f64 (.f64 #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))) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(/.f64 (.f64 (neg.f64 U) (/.f64 (/.f64 U (.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 (.f64 U (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (neg.f64 U)) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))))
(/.f64 (.f64 (/.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 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 #s(literal 2 binary64) J))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (neg.f64 U)) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(/.f64 (.f64 (neg.f64 U) (/.f64 U (.f64 #s(literal 2 binary64) J))) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(/.f64 (.f64 (neg.f64 U) (neg.f64 U)) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64)))))
(/.f64 (.f64 (neg.f64 U) U) (.f64 (.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 (.f64 U (/.f64 U (.f64 #s(literal 2 binary64) J))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(/.f64 (.f64 U (neg.f64 U)) (.f64 (.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 (.f64 U U) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(exp.f64 (+.f64 #s(literal 0 binary64) (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))))

eval26.0ms (0.4%)

Memory: -8.0MiB live, 38.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 5 956 to 750 computations (87.4% saved)

prune9.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	126	10	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	10	137

Accuracy

99.9%

Counts

137 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (pow.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)) #s(literal 1/4 binary64)) (pow.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)) #s(literal 1/4 binary64))))
	61.4%	(.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) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
▶	75.0%	(.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) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
▶	10.9%	(.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))) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
	56.9%	(.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 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
▶	52.5%	(.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)))
▶	30.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) J (.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 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 K K) (.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)))
	11.7%	#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 J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
	38.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (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)))
▶	40.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 782 to 526 computations (32.7% saved)

simplify140.0ms (2.1%)

Memory

13.4MiB live, 107.2MiB allocated; 17ms collecting garbage

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	709
0	98	709
1	183	709
2	514	709
3	1913	691
4	7591	691
0	8010	685

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

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

localize203.0ms (3%)

Memory

-15.3MiB live, 315.4MiB allocated; 38ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
accuracy	0.16015625	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	6.8240880423916925	(.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))) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
accuracy	55.88136447042114	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
accuracy	9.02217830037251	(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	12.287426984225949	(.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 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)))))
accuracy	26.733106165038468	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) J (.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 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 K K) (.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)))
accuracy	30.108649781049653	(fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) J (.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 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))))))
accuracy	0.0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	0.16015625	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	6.8240880423916925	(.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)))
accuracy	30.23615434190997	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	0.0	(neg.f64 U)
accuracy	38.275253999054634	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy	0.16015625	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.22332001953688402	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
accuracy	6.8240880423916925	(.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) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
accuracy	8.921241198674416	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))

Samples

71.0ms	92×	1	valid
59.0ms	131×	0	valid
31.0ms	33×	2	valid

Compiler

Compiled 611 to 47 computations (92.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult: 49.0ms (41.6% of total)

ival-div: 18.0ms (15.3% of total)

ival-cos: 15.0ms (12.7% of total)

adjust: 14.0ms (11.9% of total)

ival-sqrt: 8.0ms (6.8% of total)

ival-add: 7.0ms (5.9% of total)

ival-pow2: 4.0ms (3.4% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series71.0ms (1.1%)

Memory

33.4MiB live, 128.6MiB allocated; 9ms collecting garbage

Counts

19 → 177

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

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) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))
(+ (* 1/2 U) (+ (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(+ (* 1/2 U) (+ (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (- (* 1/2 (/ (pow K 2) (pow U 3))) (/ 1 (pow U 3)))) (/ 1 U)))) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(+ (* 1/2 U) (+ (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (- (+ (* 1/2 (/ (pow K 2) (pow U 3))) (* (pow J 2) (+ (* -3/2 (/ (pow K 2) (pow U 5))) (* 2 (/ 1 (pow U 5)))))) (/ 1 (pow U 3)))) (/ 1 U)))) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(+ (* -2 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))) (* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))))
(+ (* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))) (* (pow J 2) (+ (* -2 (* (pow J 2) (- (* 1/2 (/ (pow K 2) (pow U 3))) (/ 1 (pow U 3))))) (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))))
(+ (* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))) (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -3/2 (/ (pow K 2) (pow U 5))) (* 2 (/ 1 (pow U 5)))))) (* -2 (- (* 1/2 (/ (pow K 2) (pow U 3))) (/ 1 (pow U 3)))))))))
(+ (* -1/16 U) (* 1/16 U))
(+ (* -1/4 (/ (pow J 2) U)) (+ (* -1/16 U) (* 1/16 U)))
(+ (* -1/16 U) (+ (* 1/16 U) (* (pow J 2) (- (* 1/2 (/ (pow J 2) (pow U 3))) (* 1/4 (/ 1 U))))))
(+ (* -1/16 U) (+ (* 1/16 U) (* (pow J 2) (- (* (pow J 2) (+ (* -3/2 (/ (pow J 2) (pow U 5))) (* 1/2 (/ 1 (pow U 3))))) (* 1/4 (/ 1 U))))))
(* 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))))
(* 1/16 U)
(+ (* -1/8 (/ (pow J 2) U)) (* 1/16 U))
(+ (* 1/16 U) (* (pow J 2) (- (* 3/8 (/ (pow J 2) (pow U 3))) (* 1/8 (/ 1 U)))))
(+ (* 1/16 U) (* (pow J 2) (- (* (pow J 2) (+ (* -5/4 (/ (pow J 2) (pow U 5))) (* 3/8 (/ 1 (pow U 3))))) (* 1/8 (/ 1 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))))
(* -1/2 (/ U (* 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 (* -1/8 (pow K 2))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* 1/8 (/ (pow U 2) (pow J 2))) (/ (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2)))) (pow J 2))))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/8 (/ (pow U 2) (pow J 2))) (+ (/ (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2)))) (pow J 2)) (/ (* (pow K 2) (+ (* -1/256 (pow U 4)) (* 1/1024 (pow U 4)))) (pow J 4))))))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (+ (* 1/8 (/ (pow U 2) (pow J 2))) (+ (/ (* (pow K 2) (+ (* -1/64 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))) (* -1/8192 (pow U 6)))) (pow J 6)) (+ (/ (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2)))) (pow J 2)) (/ (* (pow K 2) (+ (* -1/256 (pow U 4)) (* 1/1024 (pow U 4)))) (pow J 4))))))))))
(* -2 (* J (+ 1 (* -1/8 (pow K 2)))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (* -2 (/ (+ (* 1/8 (pow U 2)) (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2))))) (pow J 2)))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -2 (/ (+ (* -1/128 (pow U 4)) (* (pow K 2) (+ (* -1/256 (pow U 4)) (* 1/1024 (pow U 4))))) (pow J 4))) (* -2 (/ (+ (* 1/8 (pow U 2)) (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2))))) (pow J 2))))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -2 (/ (+ (* -1/128 (pow U 4)) (* (pow K 2) (+ (* -1/256 (pow U 4)) (* 1/1024 (pow U 4))))) (pow J 4))) (+ (* -2 (/ (+ (* 1/1024 (pow U 6)) (* (pow K 2) (+ (* -1/64 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))) (* -1/8192 (pow U 6))))) (pow J 6))) (* -2 (/ (+ (* 1/8 (pow U 2)) (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2))))) (pow J 2)))))))
(* -1/8 J)
(* J (- (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/32 (/ (pow U 2) (pow J 2)))) 1/8))
(* J (- (+ (* -1/64 (/ (pow U 2) (pow J 2))) (+ (* -1/256 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 4) (pow J 4))) (* 1/32 (/ (pow U 2) (pow J 2)))))) 1/8))
(* J (- (+ (* -1/64 (/ (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4)))) (pow J 6))) (+ (* -1/64 (/ (pow U 2) (pow J 2))) (+ (* -1/256 (/ (pow U 4) (pow J 4))) (+ (* -1/8192 (/ (pow U 6) (pow J 6))) (+ (* 1/1024 (/ (pow U 4) (pow J 4))) (* 1/32 (/ (pow U 2) (pow J 2)))))))) 1/8))
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)))))))
(* 1/32 (/ (pow U 2) J))
(/ (+ (* -1/256 (/ (pow U 4) (pow J 2))) (* 1/32 (pow U 2))) J)
(/ (+ (* -1/64 (/ (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4)))) (pow J 4))) (+ (* -1/256 (/ (pow U 4) (pow J 2))) (* 1/32 (pow U 2)))) J)
(/ (+ (* -1/64 (/ (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4)))) (pow J 4))) (+ (* -1/64 (/ (* (pow U 2) (+ (* 1/64 (pow U 6)) (* 1/8 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))))) (pow J 6))) (+ (* -1/256 (/ (pow U 4) (pow J 2))) (* 1/32 (pow U 2))))) J)
(+ 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 (- (* 1/8 (pow K 2)) 1)))
(* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (pow J 2))) (+ (* 1/8 (pow K 2)) (/ (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/64 (pow U 2)))) (pow J 2)))) 1)))
(* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (pow J 2))) (+ (* 1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/8 (pow K 2)) (+ (/ (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/64 (pow U 2)))) (pow J 2)) (/ (* (pow K 2) (+ (* -1/1024 (pow U 4)) (* 1/256 (pow U 4)))) (pow J 4)))))) 1)))
(* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (pow J 2))) (+ (* -1/1024 (/ (pow U 6) (pow J 6))) (+ (* 1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/8 (pow K 2)) (+ (/ (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/64 (pow U 2)))) (pow J 2)) (+ (/ (* (pow K 2) (+ (* -1/1024 (pow U 4)) (* 1/256 (pow U 4)))) (pow J 4)) (/ (* (pow K 2) (+ (* 1/8192 (pow U 6)) (* 1/64 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))))) (pow J 6)))))))) 1)))
(* 2 (* J (- (* 1/8 (pow K 2)) 1)))
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U
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(* -1 (* U (- (+ (* -2 (/ (+ (* -1 (pow J 4)) (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4))))) (pow U 4))) (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2)))) 1)))
(* -1 (* U (- (+ (* -2 (/ (+ (* -1 (pow J 4)) (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4))))) (pow U 4))) (+ (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2))) (* -2 (/ (+ (* 2 (pow J 6)) (* (pow K 2) (+ (* -1/4 (pow J 6)) (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (pow J 2)))))) (pow U 6))))) 1)))
(* 1/4 (/ (pow J 2) U))
(* -1 (/ (+ (* -1/4 (pow J 2)) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* (pow J 2) (pow U 2)))) (* 1/8 (/ (pow J 4) (pow U 2))))) U))
(* -1 (/ (+ (* -1/4 (/ (pow J 6) (pow U 4))) (+ (* -1/4 (pow J 2)) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* (pow J 2) (pow U 2)))) (+ (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* (pow J 2) (pow U 4)))) (* 1/8 (/ (pow J 4) (pow U 2))))))) U))
(* -1 (/ (+ (* -1/4 (/ (pow J 6) (pow U 4))) (+ (* -1/4 (pow J 2)) (+ (* -1/128 (/ (+ (* -1024 (pow J 10)) (+ (* 1/16 (/ (pow (+ (* -64 (pow J 6)) (* 16 (pow J 6))) 2) (pow J 2))) (* 2 (* (pow J 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))))))) (* (pow J 2) (pow U 6)))) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* (pow J 2) (pow U 2)))) (+ (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* (pow J 2) (pow U 4)))) (+ (* 1/8 (/ (* (pow J 2) (+ (* 4 (pow J 6)) (pow J 6))) (pow U 6))) (* 1/8 (/ (pow J 4) (pow U 2))))))))) U))
(* -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)))))))
(* -1/16 U)
(* -1 (* U (+ 1/16 (* -1/8 (/ (pow J 2) (pow U 2))))))
(* -1 (* U (+ 1/16 (+ (* -1/8 (/ (pow J 2) (pow U 2))) (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* (pow J 2) (pow U 4))))))))
(* -1 (* U (+ 1/16 (+ (* -1/8 (/ (pow J 2) (pow U 2))) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* (pow J 2) (pow U 4)))) (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* (pow J 2) (pow U 6)))))))))
(* -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
12.0ms	U	@	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)) (* (* (* -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 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) -2) (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* -1/2 K))))
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)) (* (* (* -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 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) -2) (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* -1/2 K))))
9.0ms	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)) (* (* (* -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 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) -2) (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* -1/2 K))))
8.0ms	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)) (* (* (* -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 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) -2) (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* -1/2 K))))
7.0ms	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)) (* (* (* -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 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) -2) (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* -1/2 K))))

simplify231.0ms (3.4%)

Memory

14.0MiB live, 243.0MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1015	6876
1	3674	6800
0	9178	6370

Stop Event

1×	iter limit
1×	node limit

Counts

177 → 176

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) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))
(+ (* 1/2 U) (+ (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(+ (* 1/2 U) (+ (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (- (* 1/2 (/ (pow K 2) (pow U 3))) (/ 1 (pow U 3)))) (/ 1 U)))) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(+ (* 1/2 U) (+ (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (- (+ (* 1/2 (/ (pow K 2) (pow U 3))) (* (pow J 2) (+ (* -3/2 (/ (pow K 2) (pow U 5))) (* 2 (/ 1 (pow U 5)))))) (/ 1 (pow U 3)))) (/ 1 U)))) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(+ (* -2 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))) (* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))))
(+ (* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))) (* (pow J 2) (+ (* -2 (* (pow J 2) (- (* 1/2 (/ (pow K 2) (pow U 3))) (/ 1 (pow U 3))))) (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))))
(+ (* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))) (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -3/2 (/ (pow K 2) (pow U 5))) (* 2 (/ 1 (pow U 5)))))) (* -2 (- (* 1/2 (/ (pow K 2) (pow U 3))) (/ 1 (pow U 3)))))))))
(+ (* -1/16 U) (* 1/16 U))
(+ (* -1/4 (/ (pow J 2) U)) (+ (* -1/16 U) (* 1/16 U)))
(+ (* -1/16 U) (+ (* 1/16 U) (* (pow J 2) (- (* 1/2 (/ (pow J 2) (pow U 3))) (* 1/4 (/ 1 U))))))
(+ (* -1/16 U) (+ (* 1/16 U) (* (pow J 2) (- (* (pow J 2) (+ (* -3/2 (/ (pow J 2) (pow U 5))) (* 1/2 (/ 1 (pow U 3))))) (* 1/4 (/ 1 U))))))
(* 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))))
(* 1/16 U)
(+ (* -1/8 (/ (pow J 2) U)) (* 1/16 U))
(+ (* 1/16 U) (* (pow J 2) (- (* 3/8 (/ (pow J 2) (pow U 3))) (* 1/8 (/ 1 U)))))
(+ (* 1/16 U) (* (pow J 2) (- (* (pow J 2) (+ (* -5/4 (/ (pow J 2) (pow U 5))) (* 3/8 (/ 1 (pow U 3))))) (* 1/8 (/ 1 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))))
(* -1/2 (/ U (* 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 (* -1/8 (pow K 2))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* 1/8 (/ (pow U 2) (pow J 2))) (/ (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2)))) (pow J 2))))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/8 (/ (pow U 2) (pow J 2))) (+ (/ (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2)))) (pow J 2)) (/ (* (pow K 2) (+ (* -1/256 (pow U 4)) (* 1/1024 (pow U 4)))) (pow J 4))))))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (+ (* 1/8 (/ (pow U 2) (pow J 2))) (+ (/ (* (pow K 2) (+ (* -1/64 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))) (* -1/8192 (pow U 6)))) (pow J 6)) (+ (/ (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2)))) (pow J 2)) (/ (* (pow K 2) (+ (* -1/256 (pow U 4)) (* 1/1024 (pow U 4)))) (pow J 4))))))))))
(* -2 (* J (+ 1 (* -1/8 (pow K 2)))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (* -2 (/ (+ (* 1/8 (pow U 2)) (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2))))) (pow J 2)))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -2 (/ (+ (* -1/128 (pow U 4)) (* (pow K 2) (+ (* -1/256 (pow U 4)) (* 1/1024 (pow U 4))))) (pow J 4))) (* -2 (/ (+ (* 1/8 (pow U 2)) (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2))))) (pow J 2))))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -2 (/ (+ (* -1/128 (pow U 4)) (* (pow K 2) (+ (* -1/256 (pow U 4)) (* 1/1024 (pow U 4))))) (pow J 4))) (+ (* -2 (/ (+ (* 1/1024 (pow U 6)) (* (pow K 2) (+ (* -1/64 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))) (* -1/8192 (pow U 6))))) (pow J 6))) (* -2 (/ (+ (* 1/8 (pow U 2)) (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2))))) (pow J 2)))))))
(* -1/8 J)
(* J (- (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/32 (/ (pow U 2) (pow J 2)))) 1/8))
(* J (- (+ (* -1/64 (/ (pow U 2) (pow J 2))) (+ (* -1/256 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 4) (pow J 4))) (* 1/32 (/ (pow U 2) (pow J 2)))))) 1/8))
(* J (- (+ (* -1/64 (/ (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4)))) (pow J 6))) (+ (* -1/64 (/ (pow U 2) (pow J 2))) (+ (* -1/256 (/ (pow U 4) (pow J 4))) (+ (* -1/8192 (/ (pow U 6) (pow J 6))) (+ (* 1/1024 (/ (pow U 4) (pow J 4))) (* 1/32 (/ (pow U 2) (pow J 2)))))))) 1/8))
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)))))))
(* 1/32 (/ (pow U 2) J))
(/ (+ (* -1/256 (/ (pow U 4) (pow J 2))) (* 1/32 (pow U 2))) J)
(/ (+ (* -1/64 (/ (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4)))) (pow J 4))) (+ (* -1/256 (/ (pow U 4) (pow J 2))) (* 1/32 (pow U 2)))) J)
(/ (+ (* -1/64 (/ (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4)))) (pow J 4))) (+ (* -1/64 (/ (* (pow U 2) (+ (* 1/64 (pow U 6)) (* 1/8 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))))) (pow J 6))) (+ (* -1/256 (/ (pow U 4) (pow J 2))) (* 1/32 (pow U 2))))) J)
(+ 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)))))))
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U
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(* -1 (* U (+ 1/2 (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2))))))
(* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (/ (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4)))) (pow U 4)) (/ (pow J 2) (pow U 2))))))))
(* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* 2 (/ (pow J 6) (pow U 6))) (+ (/ (* (pow K 2) (+ (* -1/4 (pow J 6)) (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (pow J 2))))) (pow U 6)) (+ (/ (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4)))) (pow U 4)) (/ (pow J 2) (pow U 2))))))))))
(* -1 (* U (- (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (+ (* -1 (pow J 4)) (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4))))) (pow U 4))) (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2)))) 1)))
(* -1 (* U (- (+ (* -2 (/ (+ (* -1 (pow J 4)) (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4))))) (pow U 4))) (+ (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2))) (* -2 (/ (+ (* 2 (pow J 6)) (* (pow K 2) (+ (* -1/4 (pow J 6)) (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (pow J 2)))))) (pow U 6))))) 1)))
(* 1/4 (/ (pow J 2) U))
(* -1 (/ (+ (* -1/4 (pow J 2)) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* (pow J 2) (pow U 2)))) (* 1/8 (/ (pow J 4) (pow U 2))))) U))
(* -1 (/ (+ (* -1/4 (/ (pow J 6) (pow U 4))) (+ (* -1/4 (pow J 2)) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* (pow J 2) (pow U 2)))) (+ (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* (pow J 2) (pow U 4)))) (* 1/8 (/ (pow J 4) (pow U 2))))))) U))
(* -1 (/ (+ (* -1/4 (/ (pow J 6) (pow U 4))) (+ (* -1/4 (pow J 2)) (+ (* -1/128 (/ (+ (* -1024 (pow J 10)) (+ (* 1/16 (/ (pow (+ (* -64 (pow J 6)) (* 16 (pow J 6))) 2) (pow J 2))) (* 2 (* (pow J 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))))))) (* (pow J 2) (pow U 6)))) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* (pow J 2) (pow U 2)))) (+ (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* (pow J 2) (pow U 4)))) (+ (* 1/8 (/ (* (pow J 2) (+ (* 4 (pow J 6)) (pow J 6))) (pow U 6))) (* 1/8 (/ (pow J 4) (pow U 2))))))))) U))
(* -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)))))))
(* -1/16 U)
(* -1 (* U (+ 1/16 (* -1/8 (/ (pow J 2) (pow U 2))))))
(* -1 (* U (+ 1/16 (+ (* -1/8 (/ (pow J 2) (pow U 2))) (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* (pow J 2) (pow U 4))))))))
(* -1 (* U (+ 1/16 (+ (* -1/8 (/ (pow J 2) (pow U 2))) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* (pow J 2) (pow U 4)))) (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* (pow J 2) (pow U 6)))))))))
(* -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 J)
(*.f64 #s(literal -2 binary64) J)
(+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))
(fma.f64 (.f64 U #s(literal 0 binary64)) (.f64 K K) (*.f64 #s(literal 1/2 binary64) U))
(+ (* 1/2 U) (+ (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(fma.f64 #s(literal 1/2 binary64) U (fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 1 binary64)) U) (.f64 J J) (.f64 (.f64 U #s(literal 0 binary64)) (*.f64 K K))))
(+ (* 1/2 U) (+ (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (- (* 1/2 (/ (pow K 2) (pow U 3))) (/ 1 (pow U 3)))) (/ 1 U)))) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(fma.f64 #s(literal 1/2 binary64) U (fma.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 K K)) (pow.f64 U #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 U #s(literal 3 binary64)))) (.f64 J J) (/.f64 #s(literal 1 binary64) U))) (.f64 J J) (.f64 (.f64 U #s(literal 0 binary64)) (.f64 K K))))
(+ (* 1/2 U) (+ (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (- (+ (* 1/2 (/ (pow K 2) (pow U 3))) (* (pow J 2) (+ (* -3/2 (/ (pow K 2) (pow U 5))) (* 2 (/ 1 (pow U 5)))))) (/ 1 (pow U 3)))) (/ 1 U)))) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(fma.f64 #s(literal 1/2 binary64) U (fma.f64 (fma.f64 (/.f64 (.f64 K K) U) #s(literal -1/4 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 K K) #s(literal 2 binary64)) (pow.f64 U #s(literal 5 binary64))) (.f64 J J) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 K K)) (pow.f64 U #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 U #s(literal 3 binary64)))) (.f64 J J) (/.f64 #s(literal 1 binary64) U))) (.f64 J J) (.f64 (.f64 U #s(literal 0 binary64)) (.f64 K K))))
(* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(.f64 (fma.f64 (.f64 U #s(literal 0 binary64)) (.f64 K K) (.f64 #s(literal 1/2 binary64) U)) #s(literal -2 binary64))
(+ (* -2 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))) (* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))))
(.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 1 binary64)) U) (.f64 J J) (fma.f64 (.f64 U #s(literal 0 binary64)) (.f64 K K) (.f64 #s(literal 1/2 binary64) U))))
(+ (* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))) (* (pow J 2) (+ (* -2 (* (pow J 2) (- (* 1/2 (/ (pow K 2) (pow U 3))) (/ 1 (pow U 3))))) (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 K K)) (pow.f64 U #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 U #s(literal 3 binary64)))) (.f64 J J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 1 binary64)) U))) (.f64 J J) (.f64 (fma.f64 (.f64 U #s(literal 0 binary64)) (.f64 K K) (.f64 #s(literal 1/2 binary64) U)) #s(literal -2 binary64)))
(+ (* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))) (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -3/2 (/ (pow K 2) (pow U 5))) (* 2 (/ 1 (pow U 5)))))) (* -2 (- (* 1/2 (/ (pow K 2) (pow U 3))) (/ 1 (pow U 3)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 K K) #s(literal 2 binary64)) (pow.f64 U #s(literal 5 binary64))) (.f64 J J) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 K K)) (pow.f64 U #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 U #s(literal 3 binary64)))))) (.f64 J J) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal -2 binary64))) (.f64 J J) (.f64 (fma.f64 (.f64 U #s(literal 0 binary64)) (.f64 K K) (*.f64 #s(literal 1/2 binary64) U)) #s(literal -2 binary64)))
(+ (* -1/16 U) (* 1/16 U))
(*.f64 U #s(literal 0 binary64))
(+ (* -1/4 (/ (pow J 2) U)) (+ (* -1/16 U) (* 1/16 U)))
(fma.f64 (/.f64 (.f64 J J) U) #s(literal -1/4 binary64) (.f64 U #s(literal 0 binary64)))
(+ (* -1/16 U) (+ (* 1/16 U) (* (pow J 2) (- (* 1/2 (/ (pow J 2) (pow U 3))) (* 1/4 (/ 1 U))))))
(fma.f64 U #s(literal 0 binary64) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 J J)) (pow.f64 U #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) U)) (.f64 J J)))
(+ (* -1/16 U) (+ (* 1/16 U) (* (pow J 2) (- (* (pow J 2) (+ (* -3/2 (/ (pow J 2) (pow U 5))) (* 1/2 (/ 1 (pow U 3))))) (* 1/4 (/ 1 U))))))
(fma.f64 U #s(literal 0 binary64) (.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 J J) (pow.f64 U #s(literal 5 binary64))) #s(literal -3/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 U #s(literal 3 binary64)))) (.f64 J J)) (/.f64 #s(literal 1/4 binary64) U)) (*.f64 J 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 U (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J J)) 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)
(/.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 (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) (pow.f64 (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) 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)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.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))
(* 1/16 U)
(*.f64 #s(literal 1/16 binary64) U)
(+ (* -1/8 (/ (pow J 2) U)) (* 1/16 U))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 J J) U) (.f64 #s(literal 1/16 binary64) U))
(+ (* 1/16 U) (* (pow J 2) (- (* 3/8 (/ (pow J 2) (pow U 3))) (* 1/8 (/ 1 U)))))
(fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 J J)) (pow.f64 U #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) U)) (.f64 J J) (.f64 #s(literal 1/16 binary64) U))
(+ (* 1/16 U) (* (pow J 2) (- (* (pow J 2) (+ (* -5/4 (/ (pow J 2) (pow U 5))) (* 3/8 (/ 1 (pow U 3))))) (* 1/8 (/ 1 U)))))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/4 binary64) (/.f64 (.f64 J J) (pow.f64 U #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 U #s(literal 3 binary64)))) (.f64 J J)) (/.f64 #s(literal 1/8 binary64) U)) (.f64 J J) (*.f64 #s(literal 1/16 binary64) 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))))
(.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 12 binary64) (.f64 J J)) (pow.f64 U #s(literal 5 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 U #s(literal 3 binary64)))) (.f64 J J) (/.f64 #s(literal 2 binary64) U)) J)
(* 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))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 J J) (pow.f64 U #s(literal 7 binary64))) #s(literal -40 binary64) (/.f64 #s(literal 12 binary64) (pow.f64 U #s(literal 5 binary64)))) (.f64 J J)) (/.f64 #s(literal 4 binary64) (pow.f64 U #s(literal 3 binary64)))) (*.f64 J J) (/.f64 #s(literal 2 binary64) U)) J)
(* -1/2 (/ U (* J (cos (* -1/2 K)))))
(.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.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 (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))) #s(literal 1/64 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J J))))) 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 #s(literal -1/4 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (/.f64 U J) (/.f64 U J)) (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)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) #s(literal 1/64 binary64))))) J)
(* J (+ 1 (* -1/8 (pow K 2))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* 1/8 (/ (pow U 2) (pow J 2))) (/ (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2)))) (pow J 2))))))
(.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (.f64 U U)) (.f64 K K) (.f64 #s(literal 1/8 binary64) (.f64 U U))) (.f64 J J))) J)
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/8 (/ (pow U 2) (pow J 2))) (+ (/ (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2)))) (pow J 2)) (/ (* (pow K 2) (+ (* -1/256 (pow U 4)) (* 1/1024 (pow U 4)))) (pow J 4))))))))
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(.f64 (-.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) J) (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) J) (.f64 (pow.f64 J #s(literal 4 binary64)) #s(literal 1/8 binary64))) (.f64 K K) (neg.f64 (pow.f64 J #s(literal 4 binary64)))) (pow.f64 U #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 J J)) (.f64 K K) (.f64 J J)) (.f64 U U)))) #s(literal 1 binary64)) (neg.f64 U))
(* -1 (* U (- (+ (* -2 (/ (+ (* -1 (pow J 4)) (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4))))) (pow U 4))) (+ (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2))) (* -2 (/ (+ (* 2 (pow J 6)) (* (pow K 2) (+ (* -1/4 (pow J 6)) (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (pow J 2)))))) (pow U 6))))) 1)))
(.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) J) (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) J) (.f64 (pow.f64 J #s(literal 4 binary64)) #s(literal 1/8 binary64))) (.f64 K K) (neg.f64 (pow.f64 J #s(literal 4 binary64)))) (pow.f64 U #s(literal 4 binary64))) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 J J)) (.f64 K K) (.f64 J J)) (.f64 U U)) (/.f64 (fma.f64 (fma.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 J J)) #s(literal -1/128 binary64) (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -1/4 binary64))) (.f64 K K) (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal 2 binary64))) (pow.f64 U #s(literal 6 binary64)))))) #s(literal 1 binary64)) (neg.f64 U))
(* 1/4 (/ (pow J 2) U))
(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 J J) U))
(* -1 (/ (+ (* -1/4 (pow J 2)) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* (pow J 2) (pow U 2)))) (* 1/8 (/ (pow J 4) (pow U 2))))) U))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 J J) (fma.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) U) (/.f64 #s(literal 1/8 binary64) U) (.f64 (/.f64 #s(literal -1/128 binary64) (.f64 U U)) (.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) J) (/.f64 #s(literal -48 binary64) J))))) (neg.f64 U))
(* -1 (/ (+ (* -1/4 (/ (pow J 6) (pow U 4))) (+ (* -1/4 (pow J 2)) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* (pow J 2) (pow U 2)))) (+ (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* (pow J 2) (pow U 4)))) (* 1/8 (/ (pow J 4) (pow U 2))))))) U))
(/.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 J J) (fma.f64 (/.f64 #s(literal -1/128 binary64) (.f64 U U)) (.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) J) (/.f64 #s(literal -48 binary64) J)) (fma.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) U) (/.f64 #s(literal 1/8 binary64) U) (.f64 (/.f64 #s(literal -1/128 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 J J))))))) (neg.f64 U))
(* -1 (/ (+ (* -1/4 (/ (pow J 6) (pow U 4))) (+ (* -1/4 (pow J 2)) (+ (* -1/128 (/ (+ (* -1024 (pow J 10)) (+ (* 1/16 (/ (pow (+ (* -64 (pow J 6)) (* 16 (pow J 6))) 2) (pow J 2))) (* 2 (* (pow J 2) (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))))))) (* (pow J 2) (pow U 6)))) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* (pow J 2) (pow U 2)))) (+ (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* (pow J 2) (pow U 4)))) (+ (* 1/8 (/ (* (pow J 2) (+ (* 4 (pow J 6)) (pow J 6))) (pow U 6))) (* 1/8 (/ (pow J 4) (pow U 2))))))))) U))
(/.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 J J) (fma.f64 (/.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 6 binary64))) (/.f64 (fma.f64 (pow.f64 J #s(literal 10 binary64)) #s(literal -1024 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) J) (/.f64 (pow.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) #s(literal 2 binary64)) J) (.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) (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 J J)) (fma.f64 (/.f64 #s(literal -1/128 binary64) (.f64 U U)) (.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) J) (/.f64 #s(literal -48 binary64) J)) (fma.f64 (/.f64 #s(literal -1/128 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 J J)) (.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 J J) (/.f64 (.f64 #s(literal 5 binary64) (pow.f64 J #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64))) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 U U))))))))) (neg.f64 U))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 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 (/.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 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 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 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 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))
(* -1/16 U)
(*.f64 #s(literal -1/16 binary64) U)
(* -1 (* U (+ 1/16 (* -1/8 (/ (pow J 2) (pow U 2))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) U) (/.f64 (.f64 J J) U) #s(literal 1/16 binary64)) (neg.f64 U))
(* -1 (* U (+ 1/16 (+ (* -1/8 (/ (pow J 2) (pow U 2))) (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* (pow J 2) (pow U 4))))))))
(.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) J) (/.f64 #s(literal -48 binary64) J)) (.f64 (/.f64 #s(literal -1/8 binary64) U) (/.f64 (.f64 J J) U))) #s(literal 1/16 binary64)) (neg.f64 U))
(* -1 (* U (+ 1/16 (+ (* -1/8 (/ (pow J 2) (pow U 2))) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (* (pow J 2) (pow U 4)))) (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (* (pow J 2) (pow U 6)))))))))
(.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) U) (/.f64 (.f64 J J) U) (.f64 #s(literal -1/128 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 4 binary64))) (/.f64 #s(literal -48 binary64) (.f64 J J)) (/.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 J J)) (pow.f64 U #s(literal 6 binary64)))))) #s(literal 1/16 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 -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))) (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 (/.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 (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)) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)))) (neg.f64 U))

rewrite91.0ms (1.3%)

Memory

-40.2MiB live, 148.3MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	482
0	98	482
1	286	447
0	1888	447

Stop Event

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

Counts

19 → 220

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

Outputs
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 (.f64 J #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (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))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(.f64 (.f64 J #s(literal -2 binary64)) (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(.f64 #s(literal -2 binary64) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.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) (.f64 J (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) J)
(.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) J))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(literal -2 binary64))
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) J) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 #s(literal 2 binary64) (neg.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(neg.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) J)))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
(neg.f64 (*.f64 #s(literal 2 binary64) J))
(fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (/.f64 K #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
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(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 (/.f64 U (.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))))
(/.f64 (.f64 (neg.f64 U) (/.f64 (/.f64 U (.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 J #s(literal -2 binary64))))
(/.f64 (.f64 U (/.f64 (/.f64 U (.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 (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 U (.f64 #s(literal 2 binary64) J))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (neg.f64 U)) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J)))
(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 #s(literal 2 binary64) J))) (.f64 #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)))))
(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (neg.f64 U)) (.f64 #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 J #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 #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 (.f64 (neg.f64 U) (/.f64 U (.f64 #s(literal 2 binary64) J))) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 U (/.f64 U (.f64 #s(literal 2 binary64) J))) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 (neg.f64 U) U) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J))))
(/.f64 (.f64 (neg.f64 U) U) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J)) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64)))))
(/.f64 (.f64 U U) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64)))))
(/.f64 (.f64 U U) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J)) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J))))
(exp.f64 (+.f64 #s(literal 0 binary64) (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(.f64 (.f64 (pow.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (.f64 U U) J)) #s(literal 1/32 binary64))
(.f64 (/.f64 #s(literal 1/32 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) (/.f64 (*.f64 U U) J))
(.f64 (pow.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 U U) J)))
(.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 U U) J)) (pow.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/32 binary64) (.f64 (/.f64 (.f64 U U) J) (pow.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/32 binary64) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))))
(.f64 U (.f64 (/.f64 U J) (/.f64 #s(literal 1/32 binary64) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 U U) J))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 U U)) (pow.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)) #s(literal -1/2 binary64))) J)
(/.f64 (.f64 (.f64 (neg.f64 U) U) (/.f64 #s(literal 1/32 binary64) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))) (neg.f64 J))
(/.f64 (.f64 (.f64 U U) (/.f64 #s(literal 1/32 binary64) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))) J)
(/.f64 (.f64 (pow.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/32 binary64) (.f64 U U))) J)
(/.f64 (.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 U U) J)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/32 binary64) (.f64 U U))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))) J))
(/.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 U U)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))) J))
(.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (/.f64 U J) (/.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 #s(literal -1/2 binary64) (/.f64 U (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))
(.f64 U (/.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) J) (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (neg.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(neg.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) U) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(neg.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))))

eval95.0ms (1.4%)

Memory: 20.3MiB live, 123.5MiB allocated; 25ms collecting garbage
Compiler: Compiled 34 215 to 2 383 computations (93% saved)

prune17.0ms (0.2%)

Memory

2.1MiB live, 48.2MiB allocated; 3ms collecting garbage

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	441	9	450
Fresh	5	0	5
Picked	4	1	5
Done	0	0	0
Total	450	10	460

Accuracy

99.9%

Counts

460 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (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 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))))
	28.3%	(.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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
▶	28.7%	(.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)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
▶	36.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
▶	75.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
	52.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
▶	38.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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)))))
	28.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (fma.f64 (.f64 (.f64 K K) J) #s(literal -1/8 binary64) J)) #s(literal -2 binary64)))
▶	12.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (*.f64 #s(literal -1/2 binary64) U)) #s(literal -2 binary64)))
✓	40.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 941 to 549 computations (41.7% saved)

simplify126.0ms (1.9%)

Memory

-11.7MiB live, 172.9MiB allocated; 25ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	772
0	107	772
1	213	772
2	608	772
3	2204	745
4	7892	745
0	8007	742

Stop Event

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

Calls

Call 1

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

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

localize191.0ms (2.8%)

Memory

24.0MiB live, 306.9MiB allocated; 21ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.22332001953688402	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
accuracy	6.8240880423916925	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
accuracy	8.921241198674416	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))
accuracy	32.631028184660984	#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
accuracy	6.8123692923916925	(.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	7.691873438257004	(/.f64 (*.f64 U U) J)
accuracy	8.914699089137436	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
accuracy	20.870161523971912	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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	0.16015625	(.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))))
accuracy	6.8240880423916925	(.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)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
accuracy	30.23615434190997	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	32.41850647851111	#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)))
accuracy	0.0	(.f64 #s(approx (+ ( (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (*.f64 #s(literal -1/2 binary64) U)) #s(literal -2 binary64))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) U)
accuracy	26.733106165038468	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (*.f64 #s(literal -1/2 binary64) U)) #s(literal -2 binary64)))
accuracy	62.51064014517714	#s(approx (+ (* (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (*.f64 #s(literal -1/2 binary64) U))
accuracy	0.16015625	(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
accuracy	0.22332001953688402	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
accuracy	6.8240880423916925	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
accuracy	8.921241198674416	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))

Samples

81.0ms	69×	1	valid
68.0ms	187×	0	valid

Compiler

Compiled 560 to 52 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult: 46.0ms (39.1% of total)

ival-div: 25.0ms (21.3% of total)

ival-cos: 14.0ms (11.9% of total)

ival-add: 10.0ms (8.5% of total)

adjust: 7.0ms (6% of total)

ival-sqrt: 7.0ms (6% of total)

const: 5.0ms (4.3% of total)

ival-pow2: 3.0ms (2.6% of total)

exact: 1.0ms (0.9% of total)

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

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

series38.0ms (0.6%)

Memory

7.7MiB live, 61.4MiB allocated; 6ms collecting garbage

Counts

21 → 148

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 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(approx (cos (/ K 2)) (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 (+ ( (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (*.f64 #s(literal -1/2 binary64) U)) #s(literal -2 binary64)))
(.f64 #s(approx (+ ( (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (*.f64 #s(literal -1/2 binary64) U)) #s(literal -2 binary64))
#s(approx (+ (* (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (*.f64 #s(literal -1/2 binary64) U))
(*.f64 #s(literal -1/2 binary64) U)
(.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)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.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))))
#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)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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))))
(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)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))
(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #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 J)
(* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(+ (* -2 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))) (* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))))
(+ (* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))) (* (pow J 2) (+ (* -2 (* (pow J 2) (- (* 1/2 (/ (pow K 2) (pow U 3))) (/ 1 (pow U 3))))) (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))))
(+ (* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))) (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -3/2 (/ (pow K 2) (pow U 5))) (* 2 (/ 1 (pow U 5)))))) (* -2 (- (* 1/2 (/ (pow K 2) (pow U 3))) (/ 1 (pow U 3)))))))))
(+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))
(+ (* 1/2 U) (+ (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(+ (* 1/2 U) (+ (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (- (* 1/2 (/ (pow K 2) (pow U 3))) (/ 1 (pow U 3)))) (/ 1 U)))) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(+ (* 1/2 U) (+ (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (- (+ (* 1/2 (/ (pow K 2) (pow U 3))) (* (pow J 2) (+ (* -3/2 (/ (pow K 2) (pow U 5))) (* 2 (/ 1 (pow U 5)))))) (/ 1 (pow U 3)))) (/ 1 U)))) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(+ (* -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)
(* 1/2 (/ 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))))
(/ (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))))))))
(* -2 (* J (+ 1 (* -1/8 (pow K 2)))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (* -2 (/ (+ (* 1/8 (pow U 2)) (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2))))) (pow J 2)))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -2 (/ (+ (* -1/128 (pow U 4)) (* (pow K 2) (+ (* -1/256 (pow U 4)) (* 1/1024 (pow U 4))))) (pow J 4))) (* -2 (/ (+ (* 1/8 (pow U 2)) (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2))))) (pow J 2))))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -2 (/ (+ (* -1/128 (pow U 4)) (* (pow K 2) (+ (* -1/256 (pow U 4)) (* 1/1024 (pow U 4))))) (pow J 4))) (+ (* -2 (/ (+ (* 1/1024 (pow U 6)) (* (pow K 2) (+ (* -1/64 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))) (* -1/8192 (pow U 6))))) (pow J 6))) (* -2 (/ (+ (* 1/8 (pow U 2)) (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2))))) (pow J 2)))))))
(* J (+ 1 (* -1/8 (pow K 2))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* 1/8 (/ (pow U 2) (pow J 2))) (/ (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2)))) (pow J 2))))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/8 (/ (pow U 2) (pow J 2))) (+ (/ (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2)))) (pow J 2)) (/ (* (pow K 2) (+ (* -1/256 (pow U 4)) (* 1/1024 (pow U 4)))) (pow J 4))))))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (+ (* 1/8 (/ (pow U 2) (pow J 2))) (+ (/ (* (pow K 2) (+ (* -1/64 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))) (* -1/8192 (pow U 6)))) (pow J 6)) (+ (/ (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2)))) (pow J 2)) (/ (* (pow K 2) (+ (* -1/256 (pow U 4)) (* 1/1024 (pow U 4)))) (pow J 4))))))))))
(* 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 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (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 (+ (* -1/128 (/ (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 (- (* 1/8 (pow K 2)) 1)))
(* -1 (* J (+ (* -2 (- (* 1/8 (pow K 2)) 1)) (* -2 (/ (+ (* -1/8 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/64 (pow U 2))))) (pow J 2))))))
(* -1 (* J (+ (* -2 (- (* 1/8 (pow K 2)) 1)) (+ (* -2 (/ (+ (* -1/8 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/64 (pow U 2))))) (pow J 2))) (* -2 (/ (+ (* 1/128 (pow U 4)) (* (pow K 2) (+ (* -1/1024 (pow U 4)) (* 1/256 (pow U 4))))) (pow J 4)))))))
(* -1 (* J (+ (* -2 (- (* 1/8 (pow K 2)) 1)) (+ (* -2 (/ (+ (* -1/8 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/64 (pow U 2))))) (pow J 2))) (+ (* -2 (/ (+ (* -1/1024 (pow U 6)) (* (pow K 2) (+ (* 1/8192 (pow U 6)) (* 1/64 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4)))))))) (pow J 6))) (* -2 (/ (+ (* 1/128 (pow U 4)) (* (pow K 2) (+ (* -1/1024 (pow U 4)) (* 1/256 (pow U 4))))) (pow J 4))))))))
(* -1 (* J (- (* 1/8 (pow K 2)) 1)))
(* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (pow J 2))) (+ (* 1/8 (pow K 2)) (/ (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/64 (pow U 2)))) (pow J 2)))) 1)))
(* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (pow J 2))) (+ (* 1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/8 (pow K 2)) (+ (/ (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/64 (pow U 2)))) (pow J 2)) (/ (* (pow K 2) (+ (* -1/1024 (pow U 4)) (* 1/256 (pow U 4)))) (pow J 4)))))) 1)))
(* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (pow J 2))) (+ (* -1/1024 (/ (pow U 6) (pow J 6))) (+ (* 1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/8 (pow K 2)) (+ (/ (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/64 (pow U 2)))) (pow J 2)) (+ (/ (* (pow K 2) (+ (* -1/1024 (pow U 4)) (* 1/256 (pow U 4)))) (pow J 4)) (/ (* (pow K 2) (+ (* 1/8192 (pow U 6)) (* 1/64 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))))) (pow J 6)))))))) 1)))
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -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)))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
(+ (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 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)))))))))))
(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))))))))))
(* -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))
(* -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)))))))))))
(* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 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))))))))))))
(* (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))))))))))
(* (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)))))))) (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(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))))))))
(* -2 (+ J (* -1/8 (* J (pow K 2)))))
(+ (* -2 (* (pow U 2) (+ (* 1/64 (/ (pow K 2) J)) (* 1/8 (/ 1 J))))) (* -2 (+ J (* -1/8 (* J (pow K 2))))))
(+ (* -2 (+ J (* -1/8 (* J (pow K 2))))) (* (pow U 2) (+ (* -2 (* (pow U 2) (- (* -3/1024 (/ (pow K 2) (pow J 3))) (* 1/128 (/ 1 (pow J 3)))))) (* -2 (+ (* 1/64 (/ (pow K 2) J)) (* 1/8 (/ 1 J)))))))
(+ (* -2 (+ J (* -1/8 (* J (pow K 2))))) (* (pow U 2) (+ (* -2 (+ (* 1/64 (/ (pow K 2) J)) (* 1/8 (/ 1 J)))) (* (pow U 2) (+ (* -2 (* (pow U 2) (+ (* 5/8192 (/ (pow K 2) (pow J 5))) (* 1/1024 (/ 1 (pow J 5)))))) (* -2 (- (* -3/1024 (/ (pow K 2) (pow J 3))) (* 1/128 (/ 1 (pow J 3))))))))))
(+ J (* -1/8 (* J (pow K 2))))
(+ J (+ (* -1/8 (* J (pow K 2))) (* (pow U 2) (+ (* 1/64 (/ (pow K 2) J)) (* 1/8 (/ 1 J))))))
(+ J (+ (* -1/8 (* J (pow K 2))) (* (pow U 2) (+ (* 1/64 (/ (pow K 2) J)) (+ (* 1/8 (/ 1 J)) (* (pow U 2) (- (* -3/1024 (/ (pow K 2) (pow J 3))) (* 1/128 (/ 1 (pow J 3))))))))))
(+ J (+ (* -1/8 (* J (pow K 2))) (* (pow U 2) (+ (* 1/64 (/ (pow K 2) J)) (+ (* 1/8 (/ 1 J)) (* (pow U 2) (- (+ (* -3/1024 (/ (pow K 2) (pow J 3))) (* (pow U 2) (+ (* 5/8192 (/ (pow K 2) (pow J 5))) (* 1/1024 (/ 1 (pow J 5)))))) (* 1/128 (/ 1 (pow J 3))))))))))
(* -1/2 U)
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))
(+ (* -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))))))
(+ 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 (- (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (+ (* -1 (pow J 4)) (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4))))) (pow U 4))) (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2)))) 1))
(* U (- (+ (* -2 (/ (+ (* -1 (pow J 4)) (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4))))) (pow U 4))) (+ (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2))) (* -2 (/ (+ (* 2 (pow J 6)) (* (pow K 2) (+ (* -1/4 (pow J 6)) (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (pow J 2)))))) (pow U 6))))) 1))
(* 1/2 U)
(* U (+ 1/2 (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2)))))
(* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (/ (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4)))) (pow U 4)) (/ (pow J 2) (pow U 2)))))))
(* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* 2 (/ (pow J 6) (pow U 6))) (+ (/ (* (pow K 2) (+ (* -1/4 (pow J 6)) (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (pow J 2))))) (pow U 6)) (+ (/ (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4)))) (pow U 4)) (/ (pow J 2) (pow U 2)))))))))
(* 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 (+ (* 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 (* U (- (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (+ (* -1 (pow J 4)) (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4))))) (pow U 4))) (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2)))) 1)))
(* -1 (* U (- (+ (* -2 (/ (+ (* -1 (pow J 4)) (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4))))) (pow U 4))) (+ (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2))) (* -2 (/ (+ (* 2 (pow J 6)) (* (pow K 2) (+ (* -1/4 (pow J 6)) (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (pow J 2)))))) (pow U 6))))) 1)))
(* -1 (* U (+ 1/2 (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2))))))
(* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (/ (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4)))) (pow U 4)) (/ (pow J 2) (pow U 2))))))))
(* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* 2 (/ (pow J 6) (pow U 6))) (+ (/ (* (pow K 2) (+ (* -1/4 (pow J 6)) (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (pow J 2))))) (pow U 6)) (+ (/ (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4)))) (pow U 4)) (/ (pow J 2) (pow U 2))))))))))
(* -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)))))))
(* -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
7.0ms	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)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) -2) (+ (* (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (* -1/2 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* U U) J))
3.0ms	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)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) -2) (+ (* (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (* -1/2 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* U U) J))
3.0ms	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)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) -2) (+ (* (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (* -1/2 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* U U) J))
3.0ms	U	@	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)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) -2) (+ (* (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (* -1/2 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* U U) J))
3.0ms	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)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) -2) (+ (* (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (* -1/2 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* U U) J))

simplify195.0ms (2.9%)

Memory

-11.9MiB live, 227.4MiB allocated; 81ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	815	5612
1	2916	5417
0	8143	5091

Stop Event

1×	iter limit
1×	node limit

Counts

148 → 147

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)
(* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(+ (* -2 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))) (* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))))
(+ (* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))) (* (pow J 2) (+ (* -2 (* (pow J 2) (- (* 1/2 (/ (pow K 2) (pow U 3))) (/ 1 (pow U 3))))) (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))))
(+ (* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))) (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -3/2 (/ (pow K 2) (pow U 5))) (* 2 (/ 1 (pow U 5)))))) (* -2 (- (* 1/2 (/ (pow K 2) (pow U 3))) (/ 1 (pow U 3)))))))))
(+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))
(+ (* 1/2 U) (+ (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(+ (* 1/2 U) (+ (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (- (* 1/2 (/ (pow K 2) (pow U 3))) (/ 1 (pow U 3)))) (/ 1 U)))) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(+ (* 1/2 U) (+ (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (- (+ (* 1/2 (/ (pow K 2) (pow U 3))) (* (pow J 2) (+ (* -3/2 (/ (pow K 2) (pow U 5))) (* 2 (/ 1 (pow U 5)))))) (/ 1 (pow U 3)))) (/ 1 U)))) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(+ (* -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)
(* 1/2 (/ 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))))
(/ (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))))))))
(* -2 (* J (+ 1 (* -1/8 (pow K 2)))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (* -2 (/ (+ (* 1/8 (pow U 2)) (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2))))) (pow J 2)))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -2 (/ (+ (* -1/128 (pow U 4)) (* (pow K 2) (+ (* -1/256 (pow U 4)) (* 1/1024 (pow U 4))))) (pow J 4))) (* -2 (/ (+ (* 1/8 (pow U 2)) (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2))))) (pow J 2))))))
(* J (+ (* -2 (+ 1 (* -1/8 (pow K 2)))) (+ (* -2 (/ (+ (* -1/128 (pow U 4)) (* (pow K 2) (+ (* -1/256 (pow U 4)) (* 1/1024 (pow U 4))))) (pow J 4))) (+ (* -2 (/ (+ (* 1/1024 (pow U 6)) (* (pow K 2) (+ (* -1/64 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))) (* -1/8192 (pow U 6))))) (pow J 6))) (* -2 (/ (+ (* 1/8 (pow U 2)) (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2))))) (pow J 2)))))))
(* J (+ 1 (* -1/8 (pow K 2))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* 1/8 (/ (pow U 2) (pow J 2))) (/ (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2)))) (pow J 2))))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/8 (/ (pow U 2) (pow J 2))) (+ (/ (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2)))) (pow J 2)) (/ (* (pow K 2) (+ (* -1/256 (pow U 4)) (* 1/1024 (pow U 4)))) (pow J 4))))))))
(* J (+ 1 (+ (* -1/8 (pow K 2)) (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (+ (* 1/8 (/ (pow U 2) (pow J 2))) (+ (/ (* (pow K 2) (+ (* -1/64 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))) (* -1/8192 (pow U 6)))) (pow J 6)) (+ (/ (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/32 (pow U 2)))) (pow J 2)) (/ (* (pow K 2) (+ (* -1/256 (pow U 4)) (* 1/1024 (pow U 4)))) (pow J 4))))))))))
(* 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 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (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 (+ (* -1/128 (/ (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 (- (* 1/8 (pow K 2)) 1)))
(* -1 (* J (+ (* -2 (- (* 1/8 (pow K 2)) 1)) (* -2 (/ (+ (* -1/8 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/64 (pow U 2))))) (pow J 2))))))
(* -1 (* J (+ (* -2 (- (* 1/8 (pow K 2)) 1)) (+ (* -2 (/ (+ (* -1/8 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/64 (pow U 2))))) (pow J 2))) (* -2 (/ (+ (* 1/128 (pow U 4)) (* (pow K 2) (+ (* -1/1024 (pow U 4)) (* 1/256 (pow U 4))))) (pow J 4)))))))
(* -1 (* J (+ (* -2 (- (* 1/8 (pow K 2)) 1)) (+ (* -2 (/ (+ (* -1/8 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/64 (pow U 2))))) (pow J 2))) (+ (* -2 (/ (+ (* -1/1024 (pow U 6)) (* (pow K 2) (+ (* 1/8192 (pow U 6)) (* 1/64 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4)))))))) (pow J 6))) (* -2 (/ (+ (* 1/128 (pow U 4)) (* (pow K 2) (+ (* -1/1024 (pow U 4)) (* 1/256 (pow U 4))))) (pow J 4))))))))
(* -1 (* J (- (* 1/8 (pow K 2)) 1)))
(* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (pow J 2))) (+ (* 1/8 (pow K 2)) (/ (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/64 (pow U 2)))) (pow J 2)))) 1)))
(* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (pow J 2))) (+ (* 1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/8 (pow K 2)) (+ (/ (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/64 (pow U 2)))) (pow J 2)) (/ (* (pow K 2) (+ (* -1/1024 (pow U 4)) (* 1/256 (pow U 4)))) (pow J 4)))))) 1)))
(* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (pow J 2))) (+ (* -1/1024 (/ (pow U 6) (pow J 6))) (+ (* 1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/8 (pow K 2)) (+ (/ (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/64 (pow U 2)))) (pow J 2)) (+ (/ (* (pow K 2) (+ (* -1/1024 (pow U 4)) (* 1/256 (pow U 4)))) (pow J 4)) (/ (* (pow K 2) (+ (* 1/8192 (pow U 6)) (* 1/64 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))))))) (pow J 6)))))))) 1)))
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -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)))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
(+ (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 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)))))))))))
(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))))))))))
(* -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))
(* -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)))))))))))
(* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 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))))))))))))
(* (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))))))))))
(* (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)))))))) (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(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))))))))
(* -2 (+ J (* -1/8 (* J (pow K 2)))))
(+ (* -2 (* (pow U 2) (+ (* 1/64 (/ (pow K 2) J)) (* 1/8 (/ 1 J))))) (* -2 (+ J (* -1/8 (* J (pow K 2))))))
(+ (* -2 (+ J (* -1/8 (* J (pow K 2))))) (* (pow U 2) (+ (* -2 (* (pow U 2) (- (* -3/1024 (/ (pow K 2) (pow J 3))) (* 1/128 (/ 1 (pow J 3)))))) (* -2 (+ (* 1/64 (/ (pow K 2) J)) (* 1/8 (/ 1 J)))))))
(+ (* -2 (+ J (* -1/8 (* J (pow K 2))))) (* (pow U 2) (+ (* -2 (+ (* 1/64 (/ (pow K 2) J)) (* 1/8 (/ 1 J)))) (* (pow U 2) (+ (* -2 (* (pow U 2) (+ (* 5/8192 (/ (pow K 2) (pow J 5))) (* 1/1024 (/ 1 (pow J 5)))))) (* -2 (- (* -3/1024 (/ (pow K 2) (pow J 3))) (* 1/128 (/ 1 (pow J 3))))))))))
(+ J (* -1/8 (* J (pow K 2))))
(+ J (+ (* -1/8 (* J (pow K 2))) (* (pow U 2) (+ (* 1/64 (/ (pow K 2) J)) (* 1/8 (/ 1 J))))))
(+ J (+ (* -1/8 (* J (pow K 2))) (* (pow U 2) (+ (* 1/64 (/ (pow K 2) J)) (+ (* 1/8 (/ 1 J)) (* (pow U 2) (- (* -3/1024 (/ (pow K 2) (pow J 3))) (* 1/128 (/ 1 (pow J 3))))))))))
(+ J (+ (* -1/8 (* J (pow K 2))) (* (pow U 2) (+ (* 1/64 (/ (pow K 2) J)) (+ (* 1/8 (/ 1 J)) (* (pow U 2) (- (+ (* -3/1024 (/ (pow K 2) (pow J 3))) (* (pow U 2) (+ (* 5/8192 (/ (pow K 2) (pow J 5))) (* 1/1024 (/ 1 (pow J 5)))))) (* 1/128 (/ 1 (pow J 3))))))))))
(* -1/2 U)
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))
(+ (* -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))))))
(+ 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 (- (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (+ (* -1 (pow J 4)) (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4))))) (pow U 4))) (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2)))) 1))
(* U (- (+ (* -2 (/ (+ (* -1 (pow J 4)) (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4))))) (pow U 4))) (+ (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2))) (* -2 (/ (+ (* 2 (pow J 6)) (* (pow K 2) (+ (* -1/4 (pow J 6)) (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (pow J 2)))))) (pow U 6))))) 1))
(* 1/2 U)
(* U (+ 1/2 (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2)))))
(* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (/ (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4)))) (pow U 4)) (/ (pow J 2) (pow U 2)))))))
(* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* 2 (/ (pow J 6) (pow U 6))) (+ (/ (* (pow K 2) (+ (* -1/4 (pow J 6)) (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (pow J 2))))) (pow U 6)) (+ (/ (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4)))) (pow U 4)) (/ (pow J 2) (pow U 2)))))))))
(* 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 (+ (* 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 (* U (- (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (+ (* -1 (pow J 4)) (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4))))) (pow U 4))) (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2)))) 1)))
(* -1 (* U (- (+ (* -2 (/ (+ (* -1 (pow J 4)) (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4))))) (pow U 4))) (+ (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2))) (* -2 (/ (+ (* 2 (pow J 6)) (* (pow K 2) (+ (* -1/4 (pow J 6)) (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (pow J 2)))))) (pow U 6))))) 1)))
(* -1 (* U (+ 1/2 (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2))))))
(* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (/ (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4)))) (pow U 4)) (/ (pow J 2) (pow U 2))))))))
(* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* 2 (/ (pow J 6) (pow U 6))) (+ (/ (* (pow K 2) (+ (* -1/4 (pow J 6)) (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (pow J 2))))) (pow U 6)) (+ (/ (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4)))) (pow U 4)) (/ (pow J 2) (pow U 2))))))))))
(* -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)))))))
(* -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) (/.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 (.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (.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)))))) (.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 J)
(*.f64 #s(literal -2 binary64) J)
(* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(.f64 (fma.f64 #s(literal 0 binary64) (.f64 K K) (*.f64 #s(literal 1/2 binary64) U)) #s(literal -2 binary64))
(+ (* -2 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))) (* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))))
(.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 1 binary64)) U) (.f64 J J) (fma.f64 #s(literal 0 binary64) (.f64 K K) (*.f64 #s(literal 1/2 binary64) U))))
(+ (* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))) (* (pow J 2) (+ (* -2 (* (pow J 2) (- (* 1/2 (/ (pow K 2) (pow U 3))) (/ 1 (pow U 3))))) (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 K K)) (pow.f64 U #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 U #s(literal 3 binary64)))) (.f64 J J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 1 binary64)) U))) (.f64 J J) (.f64 (fma.f64 #s(literal 0 binary64) (.f64 K K) (*.f64 #s(literal 1/2 binary64) U)) #s(literal -2 binary64)))
(+ (* -2 (+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))) (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow J 2) (+ (* -2 (* (pow J 2) (+ (* -3/2 (/ (pow K 2) (pow U 5))) (* 2 (/ 1 (pow U 5)))))) (* -2 (- (* 1/2 (/ (pow K 2) (pow U 3))) (/ 1 (pow U 3)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 K K) #s(literal 2 binary64)) (pow.f64 U #s(literal 5 binary64))) (.f64 J J) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 K K)) (pow.f64 U #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 U #s(literal 3 binary64)))))) (.f64 J J) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 1 binary64)) U) #s(literal -2 binary64))) (.f64 J J) (.f64 (fma.f64 #s(literal 0 binary64) (.f64 K K) (.f64 #s(literal 1/2 binary64) U)) #s(literal -2 binary64)))
(+ (* 1/2 U) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U))))
(fma.f64 #s(literal 0 binary64) (.f64 K K) (.f64 #s(literal 1/2 binary64) U))
(+ (* 1/2 U) (+ (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 1 binary64)) U) (.f64 J J) (fma.f64 #s(literal 0 binary64) (.f64 K K) (.f64 #s(literal 1/2 binary64) U)))
(+ (* 1/2 U) (+ (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (- (* 1/2 (/ (pow K 2) (pow U 3))) (/ 1 (pow U 3)))) (/ 1 U)))) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(fma.f64 #s(literal 1/2 binary64) U (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 K K)) (pow.f64 U #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 U #s(literal 3 binary64)))) (.f64 J J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 1 binary64)) U)) (.f64 J J) (.f64 #s(literal 0 binary64) (*.f64 K K))))
(+ (* 1/2 U) (+ (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (+ (* (pow J 2) (- (+ (* 1/2 (/ (pow K 2) (pow U 3))) (* (pow J 2) (+ (* -3/2 (/ (pow K 2) (pow U 5))) (* 2 (/ 1 (pow U 5)))))) (/ 1 (pow U 3)))) (/ 1 U)))) (* (pow K 2) (+ (* -1/16 U) (* 1/16 U)))))
(fma.f64 #s(literal 1/2 binary64) U (fma.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 1 binary64)) U) (.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 K K) #s(literal 2 binary64)) (pow.f64 U #s(literal 5 binary64))) (.f64 J J) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 K K)) (pow.f64 U #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 U #s(literal 3 binary64)))) (.f64 J J))) (.f64 J J) (.f64 #s(literal 0 binary64) (.f64 K K))))
(+ (* -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 (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) (pow.f64 U #s(literal 3 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)))))
(fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 J J) (pow.f64 U #s(literal 5 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 U #s(literal 3 binary64)))) (.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (.f64 J J) (neg.f64 U))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)
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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 (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 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2))) 1))
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(* U (- (+ (* -2 (/ (+ (* -1 (pow J 4)) (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4))))) (pow U 4))) (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2)))) 1))
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(* U (- (+ (* -2 (/ (+ (* -1 (pow J 4)) (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4))))) (pow U 4))) (+ (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2))) (* -2 (/ (+ (* 2 (pow J 6)) (* (pow K 2) (+ (* -1/4 (pow J 6)) (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (pow J 2)))))) (pow U 6))))) 1))
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(* 1/2 U)
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(* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (/ (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4)))) (pow U 4)) (/ (pow J 2) (pow U 2)))))))
(.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 J J)) (.f64 K K) (.f64 J J)) (.f64 U U)) (/.f64 (.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) J) (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) J) (.f64 #s(literal 1/8 binary64) (pow.f64 J #s(literal 4 binary64)))) (.f64 K K)) (pow.f64 U #s(literal 4 binary64))))) (/.f64 (neg.f64 (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64)))) U)
(* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* 2 (/ (pow J 6) (pow U 6))) (+ (/ (* (pow K 2) (+ (* -1/4 (pow J 6)) (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (pow J 2))))) (pow U 6)) (+ (/ (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4)))) (pow U 4)) (/ (pow J 2) (pow U 2)))))))))
(.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 J J) U) (/.f64 (.f64 K K) U)) #s(literal -1/4 binary64) (+.f64 (/.f64 (fma.f64 (fma.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 J J)) #s(literal -1/128 binary64) (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -1/4 binary64))) (.f64 K K) (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal 2 binary64))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (/.f64 J U) (/.f64 J U) (/.f64 (.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) J) (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) J) (.f64 #s(literal 1/8 binary64) (pow.f64 J #s(literal 4 binary64)))) (.f64 K K)) (pow.f64 U #s(literal 4 binary64))))))) U)
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
(.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U)) #s(literal 1 binary64)) U)
(* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))
(.f64 (-.f64 (.f64 #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 J U) (/.f64 J U)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal 1 binary64)) U)
(* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))
(.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (.f64 (/.f64 J U) (/.f64 J U)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64)))) #s(literal 1 binary64)) U)
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) U)
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) U)
(* 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))) 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 (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 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)))) 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 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 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))))) U)
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U))) #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 (-.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 J J) U) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)) (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 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 (-.f64 (fma.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (/.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 -4 binary64) (.f64 #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 J J) U) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)) (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))))) #s(literal 1 binary64)) (neg.f64 U))
(* -1 (* U (- (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2))) 1)))
(.f64 (-.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 J J)) (.f64 K K) (.f64 J J)) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))
(* -1 (* U (- (+ (* -2 (/ (+ (* -1 (pow J 4)) (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4))))) (pow U 4))) (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2)))) 1)))
(.f64 (-.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 J J)) (.f64 K K) (.f64 J J)) (.f64 U U)) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) J) (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) J) (.f64 #s(literal 1/8 binary64) (pow.f64 J #s(literal 4 binary64)))) (.f64 K K) (neg.f64 (pow.f64 J #s(literal 4 binary64)))) (pow.f64 U #s(literal 4 binary64))))) #s(literal 1 binary64)) (neg.f64 U))
(* -1 (* U (- (+ (* -2 (/ (+ (* -1 (pow J 4)) (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4))))) (pow U 4))) (+ (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2))) (* -2 (/ (+ (* 2 (pow J 6)) (* (pow K 2) (+ (* -1/4 (pow J 6)) (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (pow J 2)))))) (pow U 6))))) 1)))
(.f64 (-.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 J J)) (.f64 K K) (.f64 J J)) (.f64 U U)) (/.f64 (fma.f64 (fma.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 J J)) #s(literal -1/128 binary64) (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -1/4 binary64))) (.f64 K K) (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal 2 binary64))) (pow.f64 U #s(literal 6 binary64)))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) J) (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) J) (.f64 #s(literal 1/8 binary64) (pow.f64 J #s(literal 4 binary64)))) (.f64 K K) (neg.f64 (pow.f64 J #s(literal 4 binary64)))) (pow.f64 U #s(literal 4 binary64))))) #s(literal 1 binary64)) (neg.f64 U))
(* -1 (* U (+ 1/2 (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2))))))
(.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 J J)) (.f64 K K) (.f64 J J)) (.f64 U U)) #s(literal 1/2 binary64)) (neg.f64 U))
(* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (/ (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4)))) (pow U 4)) (/ (pow J 2) (pow U 2))))))))
(.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 J J)) (.f64 K K) (.f64 J J)) (.f64 U U)) (/.f64 (.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) J) (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) J) (.f64 #s(literal 1/8 binary64) (pow.f64 J #s(literal 4 binary64)))) (.f64 K K)) (pow.f64 U #s(literal 4 binary64))))) (/.f64 (neg.f64 (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64)))) (neg.f64 U))
(* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (+ (* 2 (/ (pow J 6) (pow U 6))) (+ (/ (* (pow K 2) (+ (* -1/4 (pow J 6)) (* -1/128 (/ (+ (* 2 (* (pow J 2) (+ (* -64 (pow J 6)) (* 16 (pow J 6))))) (* 256 (pow J 8))) (pow J 2))))) (pow U 6)) (+ (/ (* (pow K 2) (+ (* -1/128 (/ (+ (* -64 (pow J 6)) (* 16 (pow J 6))) (pow J 2))) (* 1/8 (pow J 4)))) (pow U 4)) (/ (pow J 2) (pow U 2))))))))))
(.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 J J) U) (/.f64 (.f64 K K) U)) #s(literal -1/4 binary64) (+.f64 (/.f64 (fma.f64 (fma.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 J J)) #s(literal -1/128 binary64) (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -1/4 binary64))) (.f64 K K) (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal 2 binary64))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (/.f64 J U) (/.f64 J U) (/.f64 (.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) J) (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -48 binary64)) J) (.f64 #s(literal 1/8 binary64) (pow.f64 J #s(literal 4 binary64)))) (.f64 K K)) (pow.f64 U #s(literal 4 binary64))))))) (neg.f64 U))
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U)) #s(literal 1 binary64)) (neg.f64 U))
(* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))
(.f64 (-.f64 (.f64 #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 J U) (/.f64 J U)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal 1 binary64)) (neg.f64 U))
(* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))
(.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (.f64 (/.f64 J U) (/.f64 J U)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64)))) #s(literal 1 binary64)) (neg.f64 U))
(* -1/2 (/ U J))
(*.f64 #s(literal -1/2 binary64) (/.f64 U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) (neg.f64 U))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (neg.f64 U))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 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 (/.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 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 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 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 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))

rewrite92.0ms (1.4%)

Memory

-6.7MiB live, 131.5MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	529
0	107	529
1	345	502
0	2353	496

Stop Event

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

Counts

21 → 130

Calls

Call 1

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

Outputs
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (.f64 J #s(literal -2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) #s(literal -2 binary64)) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J))
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.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)))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))))
(.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.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 J #s(literal -2 binary64))))
(.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 J #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))))
(.f64 (.f64 J #s(literal -2 binary64)) (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.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)))))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.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))))))
(.f64 #s(literal -2 binary64) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.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) (.f64 J (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.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))))))
(.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) J)
(.f64 (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) J))
(.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 2 binary64) J) (neg.f64 #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 J #s(literal -2 binary64)))
(.f64 #s(literal 2 binary64) (neg.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
(.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 J (.f64 #s(literal -2 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J))
(neg.f64 (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
(neg.f64 (*.f64 #s(literal 2 binary64) J))
#s(approx (cos (/ K 2)) (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 (+ ( (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (*.f64 U #s(literal -1/2 binary64))) #s(literal -2 binary64)))
(.f64 #s(approx (+ ( (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (*.f64 U #s(literal -1/2 binary64))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) #s(approx (+ ( (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (*.f64 U #s(literal -1/2 binary64))))
(neg.f64 (.f64 #s(approx (+ ( (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (*.f64 U #s(literal -1/2 binary64))) #s(literal 2 binary64)))
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#s(approx (+ (* (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (*.f64 U #s(literal -1/2 binary64)))
(*.f64 U #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) U)
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (.f64 J #s(literal -2 binary64))) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64)))
(.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
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(.f64 (.f64 J #s(literal -2 binary64)) (.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))))))
(.f64 #s(literal -2 binary64) (.f64 (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))))
(.f64 #s(literal -2 binary64) (.f64 J (.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))))))
(.f64 (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) #s(literal -2 binary64)) J)
(.f64 (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64))
(.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))))
(.f64 J (.f64 #s(literal -2 binary64) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J))
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J)))
#s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 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 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))) #s(literal -2 binary64)) J)
(.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) J)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))) J) #s(literal -2 binary64))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))
(.f64 J (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))) J))
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(.f64 (pow.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J)) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J)) #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J))) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J)) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J))) #s(literal 1/2 binary64)))
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (.f64 J #s(literal -2 binary64))) #s(approx (cos (/ K 2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))
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(.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J))
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(.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (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 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (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 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)))))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(sqrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.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) (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (neg.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (neg.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 (fabs.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (fabs.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 (exp.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (exp.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U (.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) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 (/.f64 U (.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))))
(/.f64 (.f64 (neg.f64 U) (/.f64 (/.f64 U (.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 J #s(literal -2 binary64))))
(/.f64 (.f64 U (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 U (.f64 #s(literal 2 binary64) J))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (neg.f64 U)) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 #s(literal 2 binary64) J))) (.f64 #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)))))
(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (neg.f64 U)) (.f64 #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 J #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (.f64 (neg.f64 U) (/.f64 U (.f64 #s(literal 2 binary64) J))) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 U (/.f64 U (.f64 #s(literal 2 binary64) J))) (.f64 (.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)))))
(/.f64 (.f64 (neg.f64 U) U) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (.f64 (neg.f64 U) U) (.f64 (.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 J #s(literal -2 binary64)))))
(/.f64 (.f64 U U) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64)))))
(/.f64 (.f64 U U) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(exp.f64 (+.f64 #s(literal 0 binary64) (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(*.f64 (/.f64 U J) U)
(*.f64 (neg.f64 U) (/.f64 (neg.f64 U) J))
(*.f64 (fabs.f64 U) (/.f64 (fabs.f64 U) J))
(*.f64 U (/.f64 U J))
(/.f64 (*.f64 (neg.f64 U) U) (neg.f64 J))
(/.f64 (*.f64 U U) (neg.f64 (neg.f64 J)))
(/.f64 (*.f64 U U) J)
(neg.f64 (/.f64 (*.f64 (neg.f64 U) U) J))
(neg.f64 (/.f64 (*.f64 U U) (neg.f64 J)))

eval87.0ms (1.3%)

Memory: 16.3MiB live, 130.7MiB allocated; 65ms collecting garbage
Compiler: Compiled 22 701 to 1 558 computations (93.1% saved)

prune49.0ms (0.7%)

Memory

-7.7MiB live, 62.3MiB allocated; 24ms collecting garbage

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	354	7	361
Fresh	1	3	4
Picked	2	3	5
Done	0	1	1
Total	357	14	371

Accuracy

99.9%

Counts

371 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.3%	(.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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
✓	28.7%	(.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)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	36.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (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 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))))
✓	75.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
▶	52.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	45.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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)))))
	10.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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)))))
▶	30.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 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 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (fma.f64 (.f64 (.f64 K K) J) #s(literal -1/8 binary64) J)) #s(literal -2 binary64)))
✓	12.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (+ (* (* -1/8 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (*.f64 #s(literal -1/2 binary64) U)) #s(literal -2 binary64)))
✓	40.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	29.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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))))
▶	39.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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))))
▶	12.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U)) #s(literal 1 binary64)) (neg.f64 U))))

Compiler

Compiled 1 234 to 747 computations (39.5% saved)

simplify205.0ms (3%)

Memory

18.8MiB live, 283.3MiB allocated; 120ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	555
0	83	555
1	175	555
2	494	555
3	1785	555
4	7165	555
0	8489	544

Stop Event

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

Calls

Call 1

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

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

localize218.0ms (3.2%)

Memory

-26.8MiB live, 374.4MiB allocated; 77ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(.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))))
accuracy	6.8240880423916925	(.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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
accuracy	30.23615434190997	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	32.60108656300322	#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)))
accuracy	4.717024057516728	(.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U))
accuracy	6.567358815714128	(/.f64 (*.f64 J J) U)
accuracy	20.870161523971912	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U)) #s(literal 1 binary64)) (neg.f64 U))))
accuracy	63.32101513473815	#s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U)) #s(literal 1 binary64)) (neg.f64 U)))
accuracy	0.0078125	(fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))
accuracy	6.567358815714128	(/.f64 (*.f64 J J) U)
accuracy	20.870161523971912	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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))))
accuracy	30.5661534204289	#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)))
accuracy	0.0	(*.f64 #s(literal -2 binary64) J)
accuracy	6.8123692923916925	(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64)))
accuracy	20.870161523971912	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))))
accuracy	30.234497711553388	#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))
accuracy	0.0	#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
accuracy	0.16015625	(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
accuracy	6.8240880423916925	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
accuracy	30.23615434190997	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))

Samples

169.0ms

256×

valid

Compiler

Compiled 383 to 49 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

const: 50.0ms (34.9% of total)

ival-cos: 39.0ms (27.2% of total)

ival-mult: 27.0ms (18.9% of total)

ival-div: 10.0ms (7% of total)

ival-add: 7.0ms (4.9% of total)

ival-sqrt: 3.0ms (2.1% of total)

ival-pow2: 3.0ms (2.1% of total)

ival-sub: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

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

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

series29.0ms (0.4%)

Memory

29.3MiB live, 75.6MiB allocated; 4ms collecting garbage

Counts

20 → 106

Calls

Call 1

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

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)
(+ (* -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)
(- (* -2 (/ (pow J 2) U)) U)
(/ (pow J 2) U)
-1
(- (* -2 (/ (pow J 2) (pow U 2))) 1)
U
(+ U (* 2 (/ (pow J 2) U)))
(* 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 (/ (pow J 2) (pow U 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))))))))
(* 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 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(* -2 (/ (pow J 2) U))
(* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))
(* -1 (* (pow J 2) (+ (* 2 (/ 1 (pow U 2))) (/ 1 (pow J 2)))))
(* 2 (/ (pow J 2) U))
(* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))
(+ 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))))))))
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -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)))))))))))))
(* -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))))))))
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))
(+ (* -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 (pow J 2)) (* -1 (pow U 2))) U)
(/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) (pow U 2))
(/ (+ (* 2 (pow J 2)) (pow U 2)) U)
(+ 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 (- (* -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 (+ 1 (* 2 (/ (pow J 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))))))
(* -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)))))))
(* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))
(* -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
4.0ms	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)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (- (* (/ -2 U) (/ (* J J) U)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (/ -2 U) (/ (* J J) U)))
4.0ms	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)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (- (* (/ -2 U) (/ (* J J) U)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (/ -2 U) (/ (* J J) U)))
4.0ms	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)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (- (* (/ -2 U) (/ (* J J) U)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (/ -2 U) (/ (* J J) U)))
3.0ms	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)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (- (* (/ -2 U) (/ (* J J) U)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (/ -2 U) (/ (* J J) U)))
2.0ms	U	@	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)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (- (* (/ -2 U) (/ (* J J) U)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (/ -2 U) (/ (* J J) U)))

simplify162.0ms (2.4%)

Memory

0.8MiB live, 185.0MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	511	3224
1	1739	3106
0	8068	2935

Stop Event

1×	iter limit
1×	node limit

Counts

106 → 105

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

rewrite84.0ms (1.2%)

Memory

13.0MiB live, 106.9MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	449
0	83	449
1	287	431
0	2058	420

Stop Event

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

Counts

20 → 146

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (.f64 J #s(literal -2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 J #s(literal -2 binary64)))
(.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))))
(.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))))
(.f64 (.f64 J #s(literal -2 binary64)) (.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 #s(literal -2 binary64) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))))
(.f64 #s(literal -2 binary64) (.f64 J (.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) J)
(.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) #s(literal -2 binary64))
(.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 J (.f64 #s(literal -2 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J))
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
(neg.f64 (*.f64 #s(literal 2 binary64) J))
#s(approx (cos (/ K 2)) (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 (.f64 #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64)) #s(literal -2 binary64)) J))
(.f64 (.f64 #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64)) #s(literal -2 binary64)) J)
(.f64 (.f64 #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64)) J) #s(literal -2 binary64))
(.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64)) (*.f64 J #s(literal -2 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64)))
(.f64 J (.f64 #s(literal -2 binary64) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))))
(.f64 #s(literal -2 binary64) (.f64 #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64)) J))
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64)) J)))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 U) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 U U))) (neg.f64 (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (neg.f64 U))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 (.f64 J J) U) #s(literal 3 binary64)) (pow.f64 (neg.f64 U) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 U) (-.f64 (neg.f64 U) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))) (pow.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 U U)) (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (neg.f64 U)))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 (.f64 J J) U) #s(literal 3 binary64)) (pow.f64 (neg.f64 U) #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) (neg.f64 U)))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 (.f64 J J) U) #s(literal 3 binary64)) (pow.f64 (neg.f64 U) #s(literal 3 binary64))) (fma.f64 (neg.f64 U) (-.f64 (neg.f64 U) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))) (pow.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) (neg.f64 J)) (neg.f64 J) (neg.f64 U))
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) (fabs.f64 J)) (fabs.f64 J) (neg.f64 U))
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) J) J (neg.f64 U))
(fma.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J J) (neg.f64 U))
(fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))
(fma.f64 (*.f64 J J) (/.f64 #s(literal -2 binary64) U) (neg.f64 U))
(fma.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 J U) (neg.f64 U))
(fma.f64 J (*.f64 (/.f64 J U) #s(literal -2 binary64)) (neg.f64 U))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) (neg.f64 U))) (/.f64 (.f64 U U) (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (neg.f64 U))))
(-.f64 (neg.f64 U) (.f64 (neg.f64 (/.f64 (.f64 J J) U)) #s(literal -2 binary64)))
(-.f64 (neg.f64 U) (.f64 #s(literal 2 binary64) (/.f64 (.f64 J J) U)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (neg.f64 U) (-.f64 (neg.f64 U) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))) (pow.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (neg.f64 U) #s(literal 3 binary64)) (fma.f64 (neg.f64 U) (-.f64 (neg.f64 U) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))) (pow.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) #s(literal 2 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) (neg.f64 U))
(+.f64 (neg.f64 U) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)))
(*.f64 (/.f64 J U) J)
(*.f64 (neg.f64 J) (/.f64 (neg.f64 J) U))
(*.f64 (fabs.f64 J) (/.f64 (fabs.f64 J) U))
(*.f64 J (/.f64 J U))
(/.f64 (*.f64 (neg.f64 J) J) (neg.f64 U))
(/.f64 (*.f64 J J) (neg.f64 (neg.f64 U)))
(/.f64 (*.f64 J J) U)
(neg.f64 (/.f64 (*.f64 (neg.f64 J) J) U))
(neg.f64 (/.f64 (*.f64 J J) (neg.f64 U)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal 1 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 U U) #s(literal 2 binary64))) (.f64 (*.f64 U U) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 U #s(literal 2 binary64))) (*.f64 U #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal 1 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) (fabs.f64 U)) (/.f64 (*.f64 J J) (fabs.f64 U)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) (neg.f64 U)) (/.f64 (*.f64 J J) (neg.f64 U)) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (/.f64 (.f64 J J) U) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 J J) U) (.f64 (/.f64 #s(literal -2 binary64) U) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal -1 binary64))
(fma.f64 J (*.f64 (/.f64 J U) (/.f64 #s(literal -2 binary64) U)) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (.f64 U U)) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 J J) U) U) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal -1 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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) (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)))
(.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64))) U)
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U))
(.f64 (neg.f64 U) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 U)) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 U)) (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 U) (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 U) (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 2 binary64))))
(neg.f64 (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) U))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (.f64 J #s(literal -2 binary64))) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J))
(.f64 (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64)))
(.f64 (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))))
(.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))))
(.f64 (.f64 J #s(literal -2 binary64)) (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))))
(.f64 #s(literal -2 binary64) (.f64 J (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(literal -2 binary64)) J)
(.f64 (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64))
(.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))
(.f64 J (.f64 #s(literal -2 binary64) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J))
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J)))
#s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U))
(.f64 (/.f64 #s(literal -2 binary64) (fabs.f64 U)) (/.f64 (.f64 J J) (fabs.f64 U)))
(.f64 (/.f64 #s(literal -2 binary64) (neg.f64 U)) (/.f64 (.f64 J J) (neg.f64 U)))
(.f64 (.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (/.f64 (*.f64 J J) U) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U))
(.f64 (/.f64 (.f64 J J) U) (*.f64 (/.f64 #s(literal -2 binary64) U) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 J J) U) (/.f64 #s(literal -2 binary64) U))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)))
(.f64 J (.f64 (/.f64 J U) (/.f64 #s(literal -2 binary64) U)))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)))
(.f64 #s(literal -2 binary64) (/.f64 (/.f64 (.f64 J J) U) U))
(/.f64 (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (fabs.f64 U)) (fabs.f64 U))
(/.f64 (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (neg.f64 U)) (neg.f64 U))
(/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 U U))
(/.f64 (.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) #s(literal 1 binary64)) U)
(/.f64 (.f64 (.f64 (neg.f64 J) J) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U))
(/.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (neg.f64 J) J)) (neg.f64 U))
(/.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal 2 binary64)) (neg.f64 U))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 J J) U)) (neg.f64 U))
(/.f64 (neg.f64 (.f64 (.f64 J J) #s(literal -2 binary64))) (*.f64 (neg.f64 U) U))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 J) J)) (*.f64 U U))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 J) J)) (*.f64 (neg.f64 U) U))
(/.f64 (.f64 (.f64 (neg.f64 J) J) #s(literal 2 binary64)) (*.f64 U U))
(/.f64 (.f64 (.f64 (neg.f64 J) J) #s(literal -2 binary64)) (*.f64 (neg.f64 U) U))
(/.f64 (.f64 (.f64 J J) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) (*.f64 (neg.f64 U) U))
(/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 U U) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 U #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))) (neg.f64 U))
(/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (*.f64 U U))
(/.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)

eval68.0ms (1%)

Memory: -24.9MiB live, 63.2MiB allocated; 16ms collecting garbage
Compiler: Compiled 16 983 to 1 279 computations (92.5% saved)

prune39.0ms (0.6%)

Memory

-4.6MiB live, 58.8MiB allocated; 21ms collecting garbage

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	279	10	289
Fresh	2	3	5
Picked	2	3	5
Done	1	3	4
Total	284	19	303

Accuracy

99.9%

Counts

303 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.3%	(.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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
✓	28.7%	(.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)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	36.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (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 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))))
✓	75.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
	62.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)))))
✓	52.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	53.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal -2 binary64) J) (/.f64 (.f64 (.f64 U (/.f64 U J)) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
	45.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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)))))
✓	30.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 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 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (fma.f64 (.f64 (.f64 K K) J) #s(literal -1/8 binary64) J)) #s(literal -2 binary64)))
✓	40.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	40.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (*.f64 (/.f64 J U) J) #s(literal -2 binary64) (neg.f64 U))))
	31.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
	31.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (.f64 U (/.f64 U J)) #s(literal -2 binary64)) J)))
	12.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U) #s(literal -1 binary64)) (neg.f64 U))))
	12.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (fma.f64 J (.f64 (/.f64 J U) (/.f64 #s(literal -2 binary64) U)) #s(literal -1 binary64)) (neg.f64 U))))
	11.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U))))
	12.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 1) #s(literal -1 binary64)) (neg.f64 U))))
	2.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) #s(approx (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (.f64 (/.f64 (.f64 J J) U) #s(literal 2 binary64)))))

Compiler

Compiled 2 696 to 824 computations (69.4% saved)

regimes68.0ms (1%)

Memory

22.4MiB live, 111.7MiB allocated; 12ms collecting garbage

Counts

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

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

Calls

6 calls:

14.0ms	K
12.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
10.0ms	U
10.0ms	J
10.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
75.0%	1	`(/.f64 K #s(literal 2 binary64))`
75.0%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
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)))))`
85.0%	2	`J`
75.0%	1	`K`
80.0%	2	`U`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes10.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Counts

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

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

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

Calls

1 calls:

8.0ms

(*.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
87.6%	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)

regimes19.0ms (0.3%)

Memory

-17.2MiB live, 28.1MiB allocated; 7ms collecting garbage

Counts

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

Calls

2 calls:

10.0ms

(*.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)))))

7.0ms

Results

Accuracy	Segments	Branch
72.6%	2	`J`
85.5%	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 25 to 20 computations (20% saved)

regimes35.0ms (0.5%)

Memory

5.2MiB live, 56.6MiB allocated; 11ms collecting garbage

Counts

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

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

Calls

5 calls:

11.0ms	K
6.0ms	(/.f64 K #s(literal 2 binary64))
6.0ms	U
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)))))
6.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
52.3%	2	`(/.f64 K #s(literal 2 binary64))`
63.4%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
52.3%	2	`K`
57.5%	2	`U`
77.2%	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 33 to 34 computations (-3% saved)

regimes31.0ms (0.5%)

Memory

-26.6MiB live, 18.8MiB allocated; 5ms collecting garbage

Counts

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

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

Calls

2 calls:

24.0ms

5.0ms

(*.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
58.3%	3	`J`
74.3%	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 25 to 20 computations (20% saved)

regimes7.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

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

Calls

1 calls:

5.0ms

(*.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
67.1%	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

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

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

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)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (.f64 U (/.f64 U J)) #s(literal -2 binary64)) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (*.f64 (/.f64 J U) J) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 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
66.9%	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

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

12 → 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)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 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 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (*.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 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) #s(approx (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (.f64 (/.f64 (.f64 J J) 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 (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) J) (* (* (/ (* U U) J) 1/32) (sqrt (/ 1 (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* K K)) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) J)) (fma.f64 (.f64 (.f64 K K) J) #s(literal -1/8 binary64) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (*.f64 (/.f64 J U) J) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (.f64 U (/.f64 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)))) #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)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U))))
(.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)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #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)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (.f64 U (/.f64 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)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 (*.f64 (/.f64 J U) J) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 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
66.9%	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)

regimes4.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

1 calls:

3.0ms

(*.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
66.7%	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)

regimes3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

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

Calls

1 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)))))

Results

Accuracy	Segments	Branch
66.6%	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)

regimes29.0ms (0.4%)

Memory

-18.4MiB live, 27.3MiB allocated; 4ms collecting garbage

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

Calls

6 calls:

20.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
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	(/.f64 K #s(literal 2 binary64))
2.0ms	J
1.0ms	U

Results

Accuracy	Segments	Branch
40.2%	1	`(/.f64 K #s(literal 2 binary64))`
40.2%	1	`K`
40.2%	1	`J`
40.2%	1	`U`
51.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
51.4%	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 34 to 37 computations (-8.8% saved)

regimes4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

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

3 calls:

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

(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
40.2%	1	`U`
40.2%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
40.2%	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)))))`

Compiler

Compiled 29 to 26 computations (10.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.6981066786549853e+292	+inf
0.0ms	-inf	-1.0343479594508794e+308

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.6981066786549853e+292	+inf
0.0ms	-inf	-1.0343479594508794e+308

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	3.6981066786549853e+292	+inf
0.0ms	-2.5103704504454933e-258	-7.867793409122364e-293
0.0ms	-1.185580954405147e+70	-1.3720209757000774e+65
0.0ms	-inf	-1.0343479594508794e+308

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-7.867793409122364e-293	1.5820817541467673e-217
0.0ms	-inf	-1.0343479594508794e+308

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	-7.867793409122364e-293	1.5820817541467673e-217
0.0ms	-1.4719880968204566e-136	-2.1983062503428189e-153
0.0ms	-1.2258928254080324e+159	-9.315084259734295e+145
0.0ms	-inf	-1.0343479594508794e+308

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-7.867793409122364e-293	1.5820817541467673e-217
0.0ms	-1.2506628954414276e-132	-9.863629488621204e-133
0.0ms	-inf	-1.0343479594508794e+308

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-7.867793409122364e-293	1.5820817541467673e-217
0.0ms	-1.2506628954414276e-132	-9.863629488621204e-133
0.0ms	-inf	-1.0343479594508794e+308

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-7.867793409122364e-293	1.5820817541467673e-217
0.0ms	-1.2506628954414276e-132	-9.863629488621204e-133
0.0ms	-inf	-1.0343479594508794e+308

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-7.867793409122364e-293	1.5820817541467673e-217
0.0ms	-1.2506628954414276e-132	-9.863629488621204e-133
0.0ms	-inf	-1.0343479594508794e+308

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-7.867793409122364e-293	1.5820817541467673e-217
0.0ms	-1.2506628954414276e-132	-9.863629488621204e-133
0.0ms	-inf	-1.0343479594508794e+308

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch5.0ms (0.1%)

Memory

-42.7MiB live, 1.1MiB allocated; 10ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
5.0ms	-7.867793409122364e-293	1.5820817541467673e-217

Compiler

Compiled 27 to 23 computations (14.8% saved)

simplify67.0ms (1%)

Memory

39.3MiB live, 90.7MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	2602
1	200	2602
2	368	2602
3	910	2602
4	3927	2602

Stop Event

1×	node limit

Calls

Call 1

Inputs
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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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derivations465.0ms (6.9%)

Memory

-27.6MiB live, 406.2MiB allocated; 52ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 2 602 to 148 computations (94.3% saved)

preprocess142.0ms (2.1%)

Memory: 15.3MiB live, 250.8MiB allocated; 31ms collecting garbage
Remove: (abs K)
Compiler: Compiled 6 982 to 1 010 computations (85.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze515.0ms (7.6%)

sample1.7s (24.5%)

explain436.0ms (6.5%)

preprocess194.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify176.0ms (2.6%)

localize68.0ms (1%)

series65.0ms (1%)

simplify204.0ms (3%)

rewrite67.0ms (1%)

eval26.0ms (0.4%)

prune9.0ms (0.1%)

simplify140.0ms (2.1%)

localize203.0ms (3%)

series71.0ms (1.1%)

simplify231.0ms (3.4%)

rewrite91.0ms (1.3%)

eval95.0ms (1.4%)

prune17.0ms (0.2%)

simplify126.0ms (1.9%)

localize191.0ms (2.8%)

series38.0ms (0.6%)

simplify195.0ms (2.9%)

rewrite92.0ms (1.4%)

eval87.0ms (1.3%)

prune49.0ms (0.7%)

simplify205.0ms (3%)

localize218.0ms (3.2%)

series29.0ms (0.4%)

simplify162.0ms (2.4%)

rewrite84.0ms (1.2%)

eval68.0ms (1%)

prune39.0ms (0.6%)

regimes68.0ms (1%)

regimes10.0ms (0.1%)

regimes19.0ms (0.3%)

regimes35.0ms (0.5%)

regimes31.0ms (0.5%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes29.0ms (0.4%)

regimes4.0ms (0.1%)

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%)

bsearch5.0ms (0.1%)

simplify67.0ms (1%)

derivations465.0ms (6.9%)

preprocess142.0ms (2.1%)

end0.0ms (0%)

Profiling