Metrics for Maksimov and Kolovsky, Equation (3)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze319.0ms (3.4%)

Memory

23.7MiB live, 557.4MiB allocated; 87ms 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)

sample1.9s (20.4%)

Memory

8.1MiB live, 2 526.6MiB allocated; 527ms collecting garbage

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 582.0ms (48.4% of total)

ival-cos: 239.0ms (19.9% of total)

ival-div: 116.0ms (9.6% of total)

ival-pow2: 110.0ms (9.1% of total)

ival-add: 68.0ms (5.7% of total)

ival-sqrt: 62.0ms (5.2% of total)

exact: 13.0ms (1.1% of total)

ival-true: 6.0ms (0.5% of total)

adjust: 3.0ms (0.2% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain249.0ms (2.6%)

Memory

-0.2MiB live, 393.8MiB allocated; 26ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
43	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))))`
30	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	124	(4.679162281701751e+299 1.1883359328687154e+288 9.914970338753633e-122)	-	`(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	124	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	43	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	30
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	30
↳	`(+.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	73
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	73
`*.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**	30	0

Confusion

	Predicted +	Predicted -
+	73	0
-	88	95

Precision

0.453416149068323

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	73	0	0
-	88	0	95

Precision?

0.453416149068323

Recall?

1.0

Freqs

test

number	freq
0	95
1	125
2	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

84.0ms

512×

valid

Compiler

Compiled 248 to 55 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 14.0ms (32.1% of total)

ival-cos: 11.0ms (25.2% of total)

ival-div: 7.0ms (16% of total)

ival-pow2: 5.0ms (11.5% of total)

ival-sqrt: 3.0ms (6.9% of total)

ival-add: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess179.0ms (1.9%)

Memory

-1.4MiB live, 229.8MiB 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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.9%	(.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

▶

72.9%

(*.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)

simplify190.0ms (2%)

Memory

38.2MiB live, 227.5MiB allocated; 35ms 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)

localize106.0ms (1.1%)

Memory

-41.2MiB live, 130.2MiB allocated; 75ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.21484375	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	7.075079722684973	(.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	10.06648872801717	(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

95.0ms

256×

valid

Compiler

Compiled 112 to 19 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-cos: 56.0ms (66.6% of total)

ival-pow2: 12.0ms (14.3% of total)

ival-mult: 8.0ms (9.5% of total)

ival-div: 3.0ms (3.6% of total)

ival-sqrt: 2.0ms (2.4% of total)

ival-add: 1.0ms (1.2% 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)

series44.0ms (0.5%)

Memory

-28.1MiB live, 69.0MiB allocated; 13ms 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
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	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))
6.0ms	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)) (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))
6.0ms	J	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))

simplify197.0ms (2.1%)

Memory

25.9MiB live, 254.9MiB allocated; 33ms 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))

rewrite59.0ms (0.6%)

Memory

1.2MiB live, 94.7MiB allocated; 4ms 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 (0.3%)

Memory: 15.0MiB live, 69.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 5 956 to 750 computations (87.4% saved)

prune13.0ms (0.1%)

Memory

-24.1MiB live, 22.3MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	127	9	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	9	137

Accuracy

99.9%

Counts

137 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.7%	(.f64 (.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)))))) (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)))))
▶	72.9%	(.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)))))
	56.0%	(.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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
▶	56.0%	(.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)))
▶	29.5%	#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)))
	11.6%	#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)))
	34.9%	#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)))
▶	36.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 712 to 488 computations (31.5% saved)

simplify132.0ms (1.4%)

Memory

25.7MiB live, 116.3MiB allocated; 9ms 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)

localize297.0ms (3.2%)

Memory

8.1MiB live, 201.3MiB allocated; 35ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.1328125	(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
accuracy	7.075079722684973	(.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	55.113794270607045	#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	10.360555422791105	(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	15.291541380889448	(.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	27.34312877719942	#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	28.47529782778959	(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	0.12890625	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	7.075079722684973	(.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	28.07446487354574	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	0.0	(neg.f64 U)
accuracy	40.77124103725786	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy	0.12890625	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.21484375	(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	7.075079722684973	(.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	10.06648872801717	(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

108.0ms	138×	0	valid
76.0ms	38×	2	valid
71.0ms	80×	1	valid

Compiler

Compiled 611 to 47 computations (92.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

adjust: 63.0ms (36.4% of total)

ival-mult: 34.0ms (19.6% of total)

ival-div: 29.0ms (16.8% of total)

ival-cos: 26.0ms (15% of total)

ival-sqrt: 8.0ms (4.6% of total)

ival-add: 7.0ms (4% of total)

ival-pow2: 3.0ms (1.7% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series100.0ms (1.1%)

Memory

-7.9MiB live, 93.8MiB allocated; 10ms 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)))
(* -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 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 2) (pow J 2)))))))
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U
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(* -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
34.0ms	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))))
12.0ms	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)) (* (* (* -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))))
10.0ms	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))))
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))))

simplify273.0ms (2.9%)

Memory

16.7MiB live, 200.6MiB allocated; 24ms 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)))))))
(* -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)))
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U
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(* -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))))))))
(.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal -1/128 binary64) (+.f64 (/.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)) (/.f64 (.f64 (.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal -3/1024 binary64)) (*.f64 K K)) (pow.f64 J #s(literal 4 binary64)))))) #s(literal 1 binary64)) J)
(* 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))))))))))
(.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) #s(literal 1/1024 binary64) (fma.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/8 binary64) (fma.f64 (.f64 K K) (/.f64 (fma.f64 #s(literal -1/8192 binary64) (pow.f64 U #s(literal 6 binary64)) (.f64 (.f64 #s(literal -1/64 binary64) (.f64 U U)) (.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal -3/64 binary64)))) (pow.f64 J #s(literal 6 binary64))) (fma.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal 1/64 binary64)) (/.f64 (.f64 K K) J) (/.f64 (.f64 (.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal -3/1024 binary64)) (.f64 K K)) (pow.f64 J #s(literal 4 binary64))))))))) #s(literal 1 binary64)) J)
(* -2 (* J (+ 1 (* -1/8 (pow K 2)))))
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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))) (+ (* 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)))))))))
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(* -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))

rewrite95.0ms (1%)

Memory

-32.4MiB live, 112.6MiB allocated; 13ms 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)))
(+.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)))))
#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 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal -2 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 (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)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.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)) (cos.f64 (/.f64 K #s(literal -2 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)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
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(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)))))

eval68.0ms (0.7%)

Memory: 30.9MiB live, 120.9MiB allocated; 11ms collecting garbage
Compiler: Compiled 34 215 to 2 383 computations (93% saved)

prune17.0ms (0.2%)

Memory

-4.7MiB live, 41.3MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	442	8	450
Fresh	4	0	4
Picked	4	1	5
Done	0	0	0
Total	450	9	459

Accuracy

99.9%

Counts

459 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.8%	(.f64 (.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)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	29.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
▶	29.5%	(.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)))
▶	56.0%	(.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)))
	12.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.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)))
▶	34.9%	#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)))))
	29.6%	#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)))
▶	13.8%	#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)))
✓	36.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 869 to 527 computations (39.4% saved)

simplify124.0ms (1.3%)

Memory

3.4MiB live, 145.5MiB allocated; 26ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	2	(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff	3	(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff	3	(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff	6	(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)))))
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)))) #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	75	652
0	112	615
1	230	603
2	716	599
3	2523	575
0	8202	569

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 #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) (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)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.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))))))
(*.f64 #s(literal -2 binary64) J)
#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 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
#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 #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) (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)))))) #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) (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))))))
(.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
(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)))))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(sin.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 0 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 1 binary64)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
#s(literal 1 binary64)

localize1.7s (17.6%)

Memory

14.4MiB live, 2 198.3MiB allocated; 470ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(.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))))))
accuracy	7.075079722684973	(.f64 (.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)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
accuracy	28.07446487354574	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	61.920506293690316	(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	7.051642222684973	(.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	9.935554910061768	(/.f64 (*.f64 U U) J)
accuracy	10.08395032098411	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
accuracy	23.353680610824206	#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	0.28131096146849305	(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
accuracy	7.075079722684973	(.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	28.07446487354574	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	30.779237900549766	#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	27.34312877719942	#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	62.48176608191724	#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	0.0	#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
accuracy	0.12890625	(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
accuracy	7.075079722684973	(.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	28.07446487354574	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))

Samples

1.6s

256×

valid

Compiler

Compiled 520 to 62 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-sin: 1.0s (69.5% of total)

ival-cos: 186.0ms (12.6% of total)

ival-mult: 93.0ms (6.3% of total)

adjust: 84.0ms (5.7% of total)

ival-sqrt: 29.0ms (2% of total)

ival-div: 25.0ms (1.7% of total)

ival-add: 17.0ms (1.2% of total)

const: 7.0ms (0.5% of total)

ival-pow2: 5.0ms (0.3% of total)

ival-pi: 3.0ms (0.2% of total)

exact: 1.0ms (0.1% of total)

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

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

series72.0ms (0.8%)

Memory

14.1MiB live, 61.5MiB allocated; 12ms collecting garbage

Counts

23 → 186

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

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))))))
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(+ (* -2 (* (* J (sin (* 1/2 (PI)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -1 (* (* J (* K (cos (* 1/2 (PI))))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(+ (* -2 (* (* J (sin (* 1/2 (PI)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* K (+ (* -2 (* K (+ (* -1/8 (* (* J (sin (* 1/2 (PI)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (* (pow U 2) (sin (* 1/2 (PI)))) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) (* -1 (* (* J (cos (* 1/2 (PI)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))
(+ (* -2 (* (* J (sin (* 1/2 (PI)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* K (+ (* -1 (* (* J (cos (* 1/2 (PI)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* K (+ (* -2 (* K (+ (* -1/48 (* (* J (cos (* 1/2 (PI)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/64 (* (/ (* (pow U 2) (cos (* 1/2 (PI)))) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) (* -2 (+ (* -1/8 (* (* J (sin (* 1/2 (PI)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (* (pow U 2) (sin (* 1/2 (PI)))) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
(* -2 (* J (sin (* 1/2 (PI)))))
(+ (* -2 (* J (sin (* 1/2 (PI))))) (* -1 (* J (* K (cos (* 1/2 (PI)))))))
(+ (* -2 (* J (sin (* 1/2 (PI))))) (* K (+ (* -1 (* J (cos (* 1/2 (PI))))) (* 1/4 (* J (* K (sin (* 1/2 (PI)))))))))
(+ (* -2 (* J (sin (* 1/2 (PI))))) (* K (+ (* -1 (* J (cos (* 1/2 (PI))))) (* K (+ (* 1/24 (* J (* K (cos (* 1/2 (PI)))))) (* 1/4 (* J (sin (* 1/2 (PI))))))))))
(* -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)))))))))
(+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))
(* (cos (* -1/2 K)) (sin (* 1/2 (PI))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* 1/384 (pow K 2))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* -2 (* (* J (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 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 (* -1/8 (* 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)))))))
(+ (* -2 (* J (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (* -1/4 (/ (* (pow U 2) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* J (pow (cos (* 1/2 K)) 2)))))
(+ (* -2 (* J (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (* (pow U 2) (+ (* -1/4 (/ (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))
(+ (* -2 (* J (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (* (pow U 2) (+ (* -1/4 (/ (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* 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 (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (* -1 (/ (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (+ (* -1 (/ (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* 1/2 K)) 5) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (+ (* -1 (/ (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 4)))))))
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)))))))
(/ (* U (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (* -1 (/ (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (+ (* -1 (/ (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* 1/2 K)) 5) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (+ (* -1 (/ (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 4))))))))

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	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)) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) (sin (/ (PI) 2)))) (cos (/ (PI) 2)) (sin (/ (PI) 2)) (* (cos (/ K -2)) (sin (/ (PI) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* 1/384 (* K K)) -1/8) (/ (* U U) J) (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) (sin (/ (PI) 2))))))
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)))) (* (+ (* (+ (* (* -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)) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) (sin (/ (PI) 2)))) (cos (/ (PI) 2)) (sin (/ (PI) 2)) (* (cos (/ K -2)) (sin (/ (PI) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* 1/384 (* K K)) -1/8) (/ (* U U) J) (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) (sin (/ (PI) 2))))))
7.0ms	K	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -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)) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) (sin (/ (PI) 2)))) (cos (/ (PI) 2)) (sin (/ (PI) 2)) (* (cos (/ K -2)) (sin (/ (PI) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* 1/384 (* K K)) -1/8) (/ (* U U) J) (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) (sin (/ (PI) 2))))))
7.0ms	K	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -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)) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) (sin (/ (PI) 2)))) (cos (/ (PI) 2)) (sin (/ (PI) 2)) (* (cos (/ K -2)) (sin (/ (PI) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* 1/384 (* K K)) -1/8) (/ (* U U) J) (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) (sin (/ (PI) 2))))))
6.0ms	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)) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) (sin (/ (PI) 2)))) (cos (/ (PI) 2)) (sin (/ (PI) 2)) (* (cos (/ K -2)) (sin (/ (PI) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* 1/384 (* K K)) -1/8) (/ (* U U) J) (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) (sin (/ (PI) 2))))))

simplify243.0ms (2.6%)

Memory

5.4MiB live, 330.8MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1004	7935
1	3729	7888
0	9486	7416

Stop Event

1×	iter limit
1×	node limit

Counts

186 → 185

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)
(/ (pow U 2) J)
(* -1 (/ (* U (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) U)) (* -1 (/ (* U (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K)))))
(+ (* -1 (/ (* U (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 3))))))
(+ (* -1 (/ (* U (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 5) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 5))) (* 2 (/ (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (pow U 3))))))))
(* -2 (* J (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 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))))))))
(* -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)))))))
(* J (+ (* -2 (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* -1/4 (/ (* (pow U 2) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* J (+ (* -2 (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (+ (* -1/4 (/ (* (pow U 2) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))
(* J (+ (* -2 (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (+ (* -1/4 (/ (* (pow U 2) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))))
(* -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)))
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(* -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)))
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(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (* -1 (/ (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (+ (* -1 (/ (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* 1/2 K)) 5) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (+ (* -1 (/ (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 4)))))))
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)))))))
(/ (* U (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (* -1 (/ (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (+ (* -1 (/ (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* 1/2 K)) 5) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (+ (* -1 (/ (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 4))))))))

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)
(* -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)))
(+ (* 1/2 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 (/ (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)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 J J) (pow.f64 U #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) U)) (.f64 J J) (*.f64 #s(literal 1/2 binary64) 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)
(/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) (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)
(* 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)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(* -1 (/ (* U (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K))))
(.f64 (neg.f64 U) (/.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) U)) (* -1 (/ (* U (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K)))))
(fma.f64 (/.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J J)) (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) U) #s(literal -2 binary64) (.f64 (neg.f64 U) (/.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(+ (* -1 (/ (* U (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 3))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (.f64 J J)) (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64) (.f64 (/.f64 (.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) U) #s(literal -2 binary64))) (.f64 J J) (.f64 (neg.f64 U) (/.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(+ (* -1 (/ (* U (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 5) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 5))) (* 2 (/ (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (pow U 3))))))))
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(* -2 (* J (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 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)))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(.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)
(* -2 (* J (+ 1 (* -1/8 (pow K 2)))))
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(* 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)))))
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(* 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))))))
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(* 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)))))))
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(* J (+ 1 (* -1/8 (pow K 2))))
(.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #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))))))
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(* 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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(* 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))))))))))
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(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
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(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))
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(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))
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1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (.f64 U U) J) (/.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64)))) #s(literal 1 binary64))
(+ 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))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (.f64 U U) J) (/.f64 (.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))))) #s(literal 1 binary64))
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(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 1/8 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))))))
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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)))))))
(+.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 (/.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 6 binary64))) #s(literal 1/1024 binary64) (.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 1/8 binary64)))) #s(literal 1 binary64))
(* J (+ (* -2 (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* -1/4 (/ (* (pow U 2) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
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(* J (+ (* -2 (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (+ (* -1/4 (/ (* (pow U 2) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))
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(* J (+ (* -2 (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (+ (* -1/4 (/ (* (pow U 2) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))))
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(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
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(* 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 (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
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(* U (- (* -2 (/ (+ (* -1/4 (* (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 (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2)))))
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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)))))))
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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))) (+ (* 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)))))))))
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(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
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(* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))
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(* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))
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(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
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(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
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(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
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(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
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(* 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)))))
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(* 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))))))
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(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (* -1 (/ (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K))))))
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(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (+ (* -1 (/ (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* -1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 4))))))
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rewrite121.0ms (1.3%)

Memory

-15.8MiB live, 76.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	530
0	112	497
1	369	453
0	2718	447

Stop Event

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

Counts

23 → 222

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

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 #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)))
(neg.f64 (.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)))))
#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 (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 (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 (.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)))
(.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 (.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 (.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)) (.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(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 (.f64 K K) #s(literal 1/384 binary64) #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 (.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 (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 (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 (.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))
(neg.f64 (.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)))
(.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 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (/.f64 (-.f64 K (PI.f64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 K #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 K #s(literal -2 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (+.f64 K (neg.f64 (PI.f64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (+.f64 K (neg.f64 (PI.f64))) #s(literal -2 binary64)))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (+.f64 K (neg.f64 (PI.f64))) #s(literal -2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 K (PI.f64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64)))))
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(fma.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 0 binary64) J))
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 1 binary64) (.f64 J #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) J))
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) J))
(fma.f64 #s(literal 0 binary64) (.f64 (sin.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))))
(fma.f64 #s(literal 0 binary64) (.f64 J #s(literal -2 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 #s(literal 0 binary64) J (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))))
(fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) J) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) J) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 0 binary64) J))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) J))
(fma.f64 #s(literal 2 binary64) (neg.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)) (.f64 #s(literal 0 binary64) J))
(fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 0 binary64) J))
(fma.f64 (.f64 J #s(literal -2 binary64)) #s(literal 0 binary64) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 0 binary64) J))
(fma.f64 J #s(literal 0 binary64) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))))
(fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 0 binary64) J))
(fma.f64 #s(literal -2 binary64) (.f64 #s(literal 0 binary64) J) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))))
(-.f64 (.f64 #s(literal 0 binary64) J) (.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64))))
(-.f64 (.f64 #s(literal 0 binary64) J) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) J)))
(+.f64 (.f64 #s(literal 0 binary64) J) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))))
(+.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) J))

eval67.0ms (0.7%)

Memory: 30.6MiB live, 122.9MiB allocated; 21ms collecting garbage
Compiler: Compiled 27 718 to 1 958 computations (92.9% saved)

prune23.0ms (0.2%)

Memory

11.3MiB live, 54.9MiB allocated; 5ms collecting garbage

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	425	5	430
Fresh	0	3	3
Picked	2	3	5
Done	0	1	1
Total	427	12	439

Accuracy

100.0%

Counts

439 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.9%	(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
▶	55.8%	(.f64 (.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))) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
▶	29.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
✓	29.5%	(.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)))
✓	56.0%	(.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)))
	12.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.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)))
	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)))))
▶	31.2%	#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))))
	29.6%	#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)))
✓	13.8%	#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)))
✓	36.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
▶	12.5%	#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 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U)) #s(literal 1 binary64)) (neg.f64 U))))

Compiler

Compiled 1 009 to 640 computations (36.6% saved)

simplify146.0ms (1.5%)

Memory

-15.0MiB live, 230.5MiB allocated; 39ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.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))) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
cost-diff	2	(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))
cost-diff	3	(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff	6	(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))) #s(literal 1 binary64)))
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	#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	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 (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	(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
cost-diff	0	(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
cost-diff	2	(+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
cost-diff	2	(+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	629
0	109	589
1	235	581
2	762	577
3	3255	574
0	9182	565

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
(.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64)))
(+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
#s(literal 3 binary64)
#s(literal 0 binary64)
(*.f64 J #s(literal -2 binary64))
J
(+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))
#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 (.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))) (.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))
(.f64 (.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))) #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) (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))) #s(literal 1 binary64))))
(*.f64 #s(literal -2 binary64) J)
#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))) #s(literal 1 binary64)))
(sin.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 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 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) J) #s(literal -2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3 binary64)))
(+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3 binary64))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
#s(literal 3 binary64)
#s(literal 0 binary64)
(*.f64 J #s(literal -2 binary64))
J
(+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))
#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 (.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))) (.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 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 J J) U) U) #s(literal 1 binary64)) 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 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 J J) U) U) #s(literal 1 binary64)) 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 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 J J) U) U) #s(literal 1 binary64)) U)
(-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U))
(.f64 (/.f64 (/.f64 (.f64 J J) U) U) #s(literal -2 binary64))
(/.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(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(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))
(.f64 (.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))) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (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) (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))) #s(literal 1 binary64))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#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))) #s(literal 1 binary64)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(sin.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 0 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal -2 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))

localize592.0ms (6.3%)

Memory

-24.4MiB live, 688.9MiB allocated; 104ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(.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))) #s(literal 1 binary64))))
accuracy	7.075079722684973	(.f64 (.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))) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
accuracy	28.07446487354574	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	61.920506293690316	(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	0.3004099237314034	(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
accuracy	7.075079722684973	(.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	28.07446487354574	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	30.692972269043317	#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	3.8025744099847034	(.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U)) #s(literal 1 binary64)) (neg.f64 U))
accuracy	8.866949471338815	(/.f64 (*.f64 J J) U)
accuracy	23.353680610824206	#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	63.39635126117122	#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	0.0	(*.f64 #s(literal -2 binary64) J)
accuracy	7.051642222684973	(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64)))
accuracy	23.353680610824206	#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	28.073503645415997	#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))
accuracy	0.25	(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))
accuracy	0.36630639652663033	(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64))
accuracy	7.075079722684973	(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
accuracy	28.07446487354574	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))

Samples

490.0ms

256×

valid

Compiler

Compiled 507 to 65 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 361.0ms

adjust: 111.0ms (30.7% of total)

ival-cos: 95.0ms (26.3% of total)

ival-mult: 60.0ms (16.6% of total)

ival-div: 24.0ms (6.6% of total)

ival-add: 19.0ms (5.3% of total)

const: 15.0ms (4.2% of total)

ival-pow2: 10.0ms (2.8% of total)

ival-pow: 9.0ms (2.5% of total)

ival-sqrt: 6.0ms (1.7% of total)

ival-sin: 5.0ms (1.4% of total)

ival-pi: 3.0ms (0.8% of total)

ival-sub: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

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

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

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

series90.0ms (1%)

Memory

42.4MiB live, 88.1MiB allocated; 8ms collecting garbage

Counts

25 → 168

Calls

Call 1

Inputs
(+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))
(+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 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(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))
(.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))
#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 #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)))
(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))) #s(literal 1 binary64)))
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))
(.f64 (.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))) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 J J) U)
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
(.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))) #s(literal 1 binary64))))

Outputs
(* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))))
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 5))) (* 2 (/ (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3)) (pow U 3))))))))
(* -2 (* J (cos (* -1/2 K))))
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(+ (* -2 (/ (pow J 2) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))
(+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))
(* -2 J)
(* 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)
U
(+ U (* 2 (/ (pow J 2) U)))
-1
(- (* -2 (/ (pow J 2) (pow U 2))) 1)
(* -2 (* J (cos (* 1/2 K))))
(* -1 (/ (* U (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) U)) (* -1 (/ (* U (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K)))))
(+ (* -1 (/ (* U (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* 1/2 K)) (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 3) (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 3))))))
(+ (* -1 (/ (* U (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* 1/2 K)) (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 5) (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 5))) (* 2 (/ (* (pow (cos (* 1/2 K)) 3) (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (pow U 3))))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
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(* U (+ 1 (* 2 (/ (pow J 2) (pow U 2)))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (* -1 (/ (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (+ (* -1 (/ (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* 1/2 K)) 5) (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (+ (* -1 (/ (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 4)))))))
(* 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 (cos (* -1/2 K))) (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(/ (* U (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (* -1 (/ (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (+ (* -1 (/ (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* 1/2 K)) 5) (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (+ (* -1 (/ (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (+ (cos (* -1/2 K)) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 4))))))))
(* -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
43.0ms	K	@	0	((+ (pow (cos (/ K -2)) 3) 0) (+ (pow (cos (/ K -2)) 2) 0) (* (/ (* (+ (pow (cos (/ K -2)) 3) 0) (* J -2)) (+ (pow (cos (/ K -2)) 2) 0)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (* (+ (pow (cos (/ K -2)) 3) 0) (* J -2)) (+ (pow (cos (/ K -2)) 2) 0)) (* (* (* -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 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg 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 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) 1)) (cos (/ (PI) 2)) (* (cos (/ K -2)) 1) (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) 1))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (/ K -2)) 3) (pow (cos (/ K -2)) 2) (/ (* J J) U) (+ (* -1/46080 (* K K)) 1/384) (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) 1))))
8.0ms	J	@	0	((+ (pow (cos (/ K -2)) 3) 0) (+ (pow (cos (/ K -2)) 2) 0) (* (/ (* (+ (pow (cos (/ K -2)) 3) 0) (* J -2)) (+ (pow (cos (/ K -2)) 2) 0)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (* (+ (pow (cos (/ K -2)) 3) 0) (* J -2)) (+ (pow (cos (/ K -2)) 2) 0)) (* (* (* -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 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg 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 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) 1)) (cos (/ (PI) 2)) (* (cos (/ K -2)) 1) (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) 1))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (/ K -2)) 3) (pow (cos (/ K -2)) 2) (/ (* J J) U) (+ (* -1/46080 (* K K)) 1/384) (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) 1))))
7.0ms	J	@	inf	((+ (pow (cos (/ K -2)) 3) 0) (+ (pow (cos (/ K -2)) 2) 0) (* (/ (* (+ (pow (cos (/ K -2)) 3) 0) (* J -2)) (+ (pow (cos (/ K -2)) 2) 0)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (* (+ (pow (cos (/ K -2)) 3) 0) (* J -2)) (+ (pow (cos (/ K -2)) 2) 0)) (* (* (* -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 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg 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 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) 1)) (cos (/ (PI) 2)) (* (cos (/ K -2)) 1) (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) 1))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (/ K -2)) 3) (pow (cos (/ K -2)) 2) (/ (* J J) U) (+ (* -1/46080 (* K K)) 1/384) (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) 1))))
6.0ms	J	@	-inf	((+ (pow (cos (/ K -2)) 3) 0) (+ (pow (cos (/ K -2)) 2) 0) (* (/ (* (+ (pow (cos (/ K -2)) 3) 0) (* J -2)) (+ (pow (cos (/ K -2)) 2) 0)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (* (+ (pow (cos (/ K -2)) 3) 0) (* J -2)) (+ (pow (cos (/ K -2)) 2) 0)) (* (* (* -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 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg 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 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) 1)) (cos (/ (PI) 2)) (* (cos (/ K -2)) 1) (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) 1))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (/ K -2)) 3) (pow (cos (/ K -2)) 2) (/ (* J J) U) (+ (* -1/46080 (* K K)) 1/384) (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) 1))))
6.0ms	K	@	inf	((+ (pow (cos (/ K -2)) 3) 0) (+ (pow (cos (/ K -2)) 2) 0) (* (/ (* (+ (pow (cos (/ K -2)) 3) 0) (* J -2)) (+ (pow (cos (/ K -2)) 2) 0)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (* (+ (pow (cos (/ K -2)) 3) 0) (* J -2)) (+ (pow (cos (/ K -2)) 2) 0)) (* (* (* -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 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg 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 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) 1)) (cos (/ (PI) 2)) (* (cos (/ K -2)) 1) (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) 1))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (/ K -2)) 3) (pow (cos (/ K -2)) 2) (/ (* J J) U) (+ (* -1/46080 (* K K)) 1/384) (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) 1))))

simplify228.0ms (2.4%)

Memory

-13.4MiB live, 220.7MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	814	6255
1	2980	6103
0	8383	5782

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 167

Calls

Call 1

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

rewrite68.0ms (0.7%)

Memory

-12.6MiB live, 88.0MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	476
0	109	444
0	411	439

Stop Event

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

Counts

25 → 108

Calls

Call 1

Inputs
(+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))
(+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 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(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))
(.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))
#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 #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)))
(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))) #s(literal 1 binary64)))
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))
(.f64 (.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))) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 J J) U)
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
(.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))) #s(literal 1 binary64))))

Outputs
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))
(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64))) #s(literal 0 binary64)) (-.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)))
(+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))
(.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64)) (*.f64 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 #s(literal -2 binary64) (.f64 J #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))
(.f64 (neg.f64 U) (-.f64 (.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64)) (neg.f64 U))
(neg.f64 (.f64 (-.f64 (.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64)) U))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) (.f64 (/.f64 (.f64 J J) U) (/.f64 #s(literal -2 binary64) U))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 J J) U) (/.f64 #s(literal -2 binary64) U) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 (.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) (.f64 (/.f64 (.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64)))))
(-.f64 (.f64 (/.f64 (.f64 J J) U) (/.f64 #s(literal -2 binary64) 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 (neg.f64 U) (-.f64 (.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64)))))
#s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (neg.f64 U) (-.f64 (.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #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))) (.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 (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(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 #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 #s(literal -2 binary64) (.f64 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 (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 (.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))))
(fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)))
(-.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(+.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)))
#s(literal 0 binary64)
(*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))
(sin.f64 (+.f64 (/.f64 K #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (/.f64 K #s(literal -2 binary64))))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(.f64 (.f64 (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.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 (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64) (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 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (.f64 (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))
(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64))) #s(literal 0 binary64)) (-.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)))
(+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 J (/.f64 J U))
(/.f64 (neg.f64 (*.f64 J J)) (neg.f64 U))
(/.f64 (*.f64 J J) U)
(/.f64 (-.f64 (.f64 (.f64 (.f64 K K) #s(literal -1/46080 binary64)) (.f64 (.f64 K K) #s(literal -1/46080 binary64))) #s(literal 1/147456 binary64)) (-.f64 (.f64 (*.f64 K K) #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 K K) #s(literal -1/46080 binary64)) #s(literal 3 binary64)) #s(literal 1/56623104 binary64)) (fma.f64 (.f64 (.f64 K K) #s(literal -1/46080 binary64)) (.f64 (.f64 K K) #s(literal -1/46080 binary64)) (-.f64 #s(literal 1/147456 binary64) (.f64 (.f64 (*.f64 K K) #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)))))
(fma.f64 (*.f64 #s(literal -1/46080 binary64) K) K #s(literal 1/384 binary64))
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
(+.f64 (.f64 (.f64 K K) #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))
(+.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) #s(literal -1/46080 binary64)))
(.f64 (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 J (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(fma.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))))
(fma.f64 (.f64 J #s(literal -2 binary64)) (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(+.f64 (.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))))
(+.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))) (.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))

eval44.0ms (0.5%)

Memory: 13.4MiB live, 103.3MiB allocated; 9ms collecting garbage
Compiler: Compiled 19 537 to 1 379 computations (92.9% saved)

prune50.0ms (0.5%)

Memory

-5.2MiB live, 51.1MiB allocated; 6ms collecting garbage

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	289	13	302
Fresh	2	1	3
Picked	3	2	5
Done	1	3	4
Total	295	19	314

Accuracy

100.0%

Counts

314 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.9%	(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) (exp.f64 (.f64 (log.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	55.9%	(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) #s(approx (+ (pow (cos (/ K -2)) 2) 0) (pow.f64 (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)))
	55.9%	(.f64 (/.f64 (.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	42.9%	(.f64 (/.f64 (.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64))) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	55.9%	(.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	55.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (+ ( (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) 1)) (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) (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)))
✓	29.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
✓	29.5%	(.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)))
✓	56.0%	(.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)))
	12.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)) U)) #s(literal 1 binary64)) (neg.f64 U)))
✓	31.2%	#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))))
	29.6%	#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)))
✓	36.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	13.6%	#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))) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J (/.f64 J U))) #s(literal 1 binary64)) (neg.f64 U))))
	5.8%	#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) (/.f64 (fma.f64 (neg.f64 U) U (.f64 (.f64 J J) #s(literal -2 binary64))) (*.f64 U U))) (neg.f64 U))))
	11.6%	#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))) (.f64 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 1) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 U U)) (.f64 J J) #s(literal 1 binary64)))) (neg.f64 U))))
	13.8%	#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))))
	2.4%	#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))) #s(approx (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (.f64 (/.f64 (.f64 J J) U) #s(literal 2 binary64)))))
	4.8%	#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 U (.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J)))))

Compiler

Compiled 2 686 to 894 computations (66.7% saved)

regimes74.0ms (0.8%)

Memory

-18.8MiB live, 119.8MiB allocated; 8ms collecting garbage

Counts

36 → 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))) (.f64 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 1) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 U U)) (.f64 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 #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))) #s(approx (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (.f64 (+.f64 (/.f64 U (.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J 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 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 1) (/.f64 (fma.f64 (neg.f64 U) U (.f64 (.f64 J J) #s(literal -2 binary64))) (*.f64 U U))) (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 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 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) (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)))) (.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)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)) U)) #s(literal 1 binary64)) (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))) (/.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 (+ ( (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) 1)) (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) (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) (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))) #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) 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 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) #s(approx (+ (pow (cos (/ K -2)) 2) 0) (pow.f64 (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 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 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) (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)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) (exp.f64 (.f64 (log.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64))) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 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) (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)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Outputs

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

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

21.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
11.0ms	K
9.0ms	U
9.0ms	(/.f64 K #s(literal 2 binary64))
9.0ms	J

Results

Accuracy	Segments	Branch
72.9%	1	`(/.f64 K #s(literal 2 binary64))`
72.9%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
99.9%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
81.5%	2	`J`
72.9%	1	`K`
79.7%	4	`U`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes8.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated; 0ms collecting garbage

Counts

26 → 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))) (.f64 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 1) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 U U)) (.f64 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 #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))) #s(approx (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (.f64 (+.f64 (/.f64 U (.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J 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 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 1) (/.f64 (fma.f64 (neg.f64 U) U (.f64 (.f64 J J) #s(literal -2 binary64))) (*.f64 U U))) (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 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 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) (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)))) (.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)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)) U)) #s(literal 1 binary64)) (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))) (/.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 (+ ( (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K -2)) 1)) (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) (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) (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))) #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))
(.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))) (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)))) #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:

7.0ms

(*.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
86.5%	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)

regimes6.0ms (0.1%)

Memory

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

Counts

18 → 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))) (.f64 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 1) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 U U)) (.f64 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 #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))) #s(approx (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (.f64 (+.f64 (/.f64 U (.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J 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 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 1) (/.f64 (fma.f64 (neg.f64 U) U (.f64 (.f64 J J) #s(literal -2 binary64))) (*.f64 U U))) (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 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 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)))) #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:

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
83.5%	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)

regimes80.0ms (0.8%)

Memory

-46.9MiB live, 74.6MiB allocated; 83ms collecting garbage

Counts

16 → 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))) (.f64 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 1) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 U U)) (.f64 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 #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))) #s(approx (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (.f64 (+.f64 (/.f64 U (.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J 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 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 1) (/.f64 (fma.f64 (neg.f64 U) U (.f64 (.f64 J J) #s(literal -2 binary64))) (*.f64 U U))) (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 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 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) #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 (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))) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J (/.f64 J U))) #s(literal 1 binary64)) (neg.f64 U))))

Calls

6 calls:

51.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
9.0ms	K
5.0ms	(/.f64 K #s(literal 2 binary64))
5.0ms	J
5.0ms	U

Results

Accuracy	Segments	Branch
53.1%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
49.1%	5	`(/.f64 K #s(literal 2 binary64))`
49.1%	5	`K`
54.8%	2	`U`
50.9%	3	`J`
68.4%	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 34 to 37 computations (-8.8% saved)

regimes5.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Counts

14 → 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))) (.f64 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 1) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 U U)) (.f64 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 #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))) #s(approx (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (.f64 (+.f64 (/.f64 U (.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J 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 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 1) (/.f64 (fma.f64 (neg.f64 U) U (.f64 (.f64 J J) #s(literal -2 binary64))) (*.f64 U U))) (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 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)))) (*.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))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J (/.f64 J U))) #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
63.0%	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)

regimes107.0ms (1.1%)

Memory

-34.4MiB live, 12.9MiB allocated; 2ms collecting garbage

Counts

10 → 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))) (.f64 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 1) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 U U)) (.f64 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 #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))) #s(approx (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (.f64 (+.f64 (/.f64 U (.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J 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 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 1) (/.f64 (fma.f64 (neg.f64 U) U (.f64 (.f64 J J) #s(literal -2 binary64))) (*.f64 U U))) (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))) (*.f64 #s(approx (- (* (/ -2 U) (/ (* J J) U)) 1) #s(literal -1 binary64)) (neg.f64 U))))

Calls

1 calls:

105.0ms

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

Results

Accuracy	Segments	Branch
62.8%	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)

regimes7.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms 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

4 calls:

2.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms	U
1.0ms	J
1.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
36.3%	1	`J`
48.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
36.3%	1	`U`
48.6%	2	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 30 to 29 computations (3.3% saved)

regimes5.0ms (0%)

Memory

11.1MiB live, 11.1MiB 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

4 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	(/.f64 K #s(literal 2 binary64))
1.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms	K

Results

Accuracy	Segments	Branch
36.3%	1	`(/.f64 K #s(literal 2 binary64))`
36.3%	1	`K`
36.3%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
36.3%	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 32 to 31 computations (3.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.18714346102018e+288	+inf
0.0ms	-inf	-3.781077939226455e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.18714346102018e+288	+inf
0.0ms	-1.0479320866558315e+168	-1.354120584366978e+158
0.0ms	-inf	-3.781077939226455e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.18714346102018e+288	+inf
0.0ms	-inf	-3.781077939226455e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-2.3014487600648086e-254	1.0399320482558964e-296
0.0ms	-1.0479320866558315e+168	-1.354120584366978e+158
0.0ms	-inf	-3.781077939226455e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-2.3014487600648086e-254	1.0399320482558964e-296
0.0ms	-inf	-3.781077939226455e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-2.3014487600648086e-254	1.0399320482558964e-296
0.0ms	-inf	-3.781077939226455e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.3014487600648086e-254	1.0399320482558964e-296

Compiler

Compiled 27 to 23 computations (14.8% saved)

simplify57.0ms (0.6%)

Memory

1.3MiB live, 92.3MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1319
1	162	1319
2	333	1319
3	883	1319
4	3929	1319

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 4000000000000000030521894158300142642059113342046843003120346657759878042545979818444526196543356746055933822221580883582751442179238339999318901042379493084349598505946424585770203955360067669578505798145580834481068051112311150893583656258428479848277933298295911431328555301131819941888 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))))) #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))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -999999999999999933860494834742974562371950216430331518611692822307700646699603647625692432595845947170914554599698521475539380813444812793279458505403728617494385000448 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))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 4000000000000000030521894158300142642059113342046843003120346657759878042545979818444526196543356746055933822221580883582751442179238339999318901042379493084349598505946424585770203955360067669578505798145580834481068051112311150893583656258428479848277933298295911431328555301131819941888 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)))) #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)))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 4000000000000000030521894158300142642059113342046843003120346657759878042545979818444526196543356746055933822221580883582751442179238339999318901042379493084349598505946424585770203955360067669578505798145580834481068051112311150893583656258428479848277933298295911431328555301131819941888 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))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -999999999999999933860494834742974562371950216430331518611692822307700646699603647625692432595845947170914554599698521475539380813444812793279458505403728617494385000448 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)))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -1320736327839163/66036816391958155794042473114564575814855915754515190265995088628334237819590607434302156985957148486834299374157141084860293444937835692156317372307867447113548335499875635521091439709553305131628029113526398550518503536593945217354799612345879559561192322612217249792 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)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J (/.f64 J U))) #s(literal 1 binary64)) (neg.f64 U)))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -1320736327839163/66036816391958155794042473114564575814855915754515190265995088628334237819590607434302156985957148486834299374157141084860293444937835692156317372307867447113548335499875635521091439709553305131628029113526398550518503536593945217354799612345879559561192322612217249792 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))) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J (/.f64 J U))) #s(literal 1 binary64)) (neg.f64 U))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -1320736327839163/66036816391958155794042473114564575814855915754515190265995088628334237819590607434302156985957148486834299374157141084860293444937835692156317372307867447113548335499875635521091439709553305131628029113526398550518503536593945217354799612345879559561192322612217249792 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))) (.f64 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 1) #s(literal -1 binary64)) (neg.f64 U))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -1320736327839163/66036816391958155794042473114564575814855915754515190265995088628334237819590607434302156985957148486834299374157141084860293444937835692156317372307867447113548335499875635521091439709553305131628029113526398550518503536593945217354799612345879559561192322612217249792 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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Outputs
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 4000000000000000030521894158300142642059113342046843003120346657759878042545979818444526196543356746055933822221580883582751442179238339999318901042379493084349598505946424585770203955360067669578505798145580834481068051112311150893583656258428479848277933298295911431328555301131819941888 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))))) #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))))))
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(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -1320736327839163/66036816391958155794042473114564575814855915754515190265995088628334237819590607434302156985957148486834299374157141084860293444937835692156317372307867447113548335499875635521091439709553305131628029113526398550518503536593945217354799612345879559561192322612217249792 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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

derivations396.0ms (4.2%)

Memory

-9.1MiB live, 409.4MiB allocated; 77ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 1 319 to 108 computations (91.8% saved)

preprocess865.0ms (9.2%)

Memory: -111.7MiB live, 242.1MiB allocated; 1.1s collecting garbage
Remove: (abs K)
Compiler: Compiled 4 366 to 920 computations (78.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze319.0ms (3.4%)

sample1.9s (20.4%)

explain249.0ms (2.6%)

preprocess179.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify190.0ms (2%)

localize106.0ms (1.1%)

series44.0ms (0.5%)

simplify197.0ms (2.1%)

rewrite59.0ms (0.6%)

eval26.0ms (0.3%)

prune13.0ms (0.1%)

simplify132.0ms (1.4%)

localize297.0ms (3.2%)

series100.0ms (1.1%)

simplify273.0ms (2.9%)

rewrite95.0ms (1%)

eval68.0ms (0.7%)

prune17.0ms (0.2%)

simplify124.0ms (1.3%)

localize1.7s (17.6%)

series72.0ms (0.8%)

simplify243.0ms (2.6%)

rewrite121.0ms (1.3%)

eval67.0ms (0.7%)

prune23.0ms (0.2%)

simplify146.0ms (1.5%)

localize592.0ms (6.3%)

series90.0ms (1%)

simplify228.0ms (2.4%)

rewrite68.0ms (0.7%)

eval44.0ms (0.5%)

prune50.0ms (0.5%)

regimes74.0ms (0.8%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes80.0ms (0.8%)

regimes5.0ms (0.1%)

regimes107.0ms (1.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify57.0ms (0.6%)

derivations396.0ms (4.2%)

preprocess865.0ms (9.2%)

end0.0ms (0%)

Profiling