Metrics for Maksimov and Kolovsky, Equation (3)

start0.0ms (0%)

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

analyze527.0ms (5.4%)

Memory

-16.7MiB live, 615.7MiB allocated; 149ms 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 (20.1%)

Memory

38.3MiB live, 2 606.5MiB allocated; 618ms collecting garbage

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 963.0ms

ival-mult: 298.0ms (30.9% of total)

ival-cos: 274.0ms (28.5% of total)

ival-div: 119.0ms (12.4% of total)

ival-sqrt: 103.0ms (10.7% of total)

ival-pow2: 103.0ms (10.7% of total)

ival-add: 40.0ms (4.2% of total)

exact: 13.0ms (1.3% of total)

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

adjust: 3.0ms (0.3% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain290.0ms (3%)

Memory

9.8MiB live, 394.8MiB allocated; 46ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
42	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))))`
31	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	128	(2.545921308245215e+184 4.4372509098776624e+244 4.601808951588435e+262)	-	`(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	128	2
`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	42	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	31
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	31
↳	`(+.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**	31	0

Confusion

	Predicted +	Predicted -
+	73	0
-	95	88

Precision

0.43452380952380953

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	73	0	0
-	95	1	87

Precision?

0.4319526627218935

Recall?

1.0

Freqs

test

number	freq
0	88
1	135
2	33

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

83.0ms

512×

valid

Compiler

Compiled 248 to 55 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 15.0ms (31.5% of total)

ival-cos: 11.0ms (23.1% of total)

ival-div: 10.0ms (21% of total)

ival-pow2: 5.0ms (10.5% of total)

ival-sqrt: 3.0ms (6.3% of total)

ival-add: 2.0ms (4.2% of total)

exact: 1.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess193.0ms (2%)

Memory

-7.4MiB live, 222.3MiB allocated; 47ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	222
1	198	216
2	588	216
3	2092	216
4	4743	216
0	17	24
0	28	24
1	52	24
2	114	24
3	314	24
4	1208	24
5	3653	24
6	7081	24
0	8238	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: 0.4MiB live, 0.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

3.0MiB live, 2.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Status

Accuracy

Program

▶

73.0%

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify119.0ms (1.2%)

Memory

1.9MiB live, 157.7MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	110
0	28	110
1	52	110
2	114	110
3	314	110
4	1208	110
5	3653	110
6	7081	110
0	8238	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)

localize55.0ms (0.6%)

Memory

-14.4MiB live, 87.5MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
accuracy	0.217128759768442	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	7.351268371477811	(.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	9.806602637771274	(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

45.0ms

256×

valid

Compiler

Compiled 112 to 19 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 9.0ms (37% of total)

ival-cos: 5.0ms (20.5% of total)

ival-div: 4.0ms (16.4% of total)

ival-sqrt: 2.0ms (8.2% of total)

ival-pow2: 2.0ms (8.2% of total)

ival-add: 1.0ms (4.1% 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)

series46.0ms (0.5%)

Memory

-19.6MiB live, 70.7MiB allocated; 9ms collecting garbage

Counts

7 → 65

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
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) (/ U (* (* 2 J) (cos (/ K 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) (/ U (* (* 2 J) (cos (/ K 2)))))
6.0ms	J	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))))
6.0ms	K	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))))
5.0ms	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) (/ U (* (* 2 J) (cos (/ K 2)))))

simplify194.0ms (2%)

Memory

10.9MiB live, 236.3MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	389	2597
1	1424	2469
2	6719	2463
0	8635	2325

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

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

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

rewrite204.0ms (2.1%)

Memory

-21.9MiB live, 192.2MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	76
0	28	76
1	80	70
2	409	70
3	5573	70
0	8533	70

Stop Event

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

Counts

7 → 354

Calls

Call 1

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

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

eval129.0ms (1.3%)

Memory: 29.3MiB live, 139.7MiB allocated; 10ms collecting garbage
Compiler: Compiled 16 473 to 2 188 computations (86.7% saved)

prune18.0ms (0.2%)

Memory

7.3MiB live, 51.2MiB allocated; 4ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	438	12	450
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	439	12	451

Accuracy

100.0%

Counts

451 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.2%	(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fma.f64 J J #s(literal 0 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)))))
	72.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 (.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (cos.f64 (/.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (cos.f64 (/.f64 (.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (sin.f64 (/.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 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)))))
▶	72.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (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)))))
	63.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U ( (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
	11.2%	(.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 #s(literal -1/2 binary64) (/.f64 U J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
	55.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
▶	51.2%	(.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)))
▶	38.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
▶	48.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
	12.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.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)))
	36.9%	#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)))
▶	39.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 964 to 650 computations (32.6% saved)

simplify103.0ms (1.1%)

Memory

-11.0MiB live, 171.2MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(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))))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
cost-diff	0	(*.f64 J J)
cost-diff	0	(.f64 (.f64 J J) #s(literal -2 binary64))
cost-diff	0	(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))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
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	3	(fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))))
cost-diff	5	(.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
cost-diff	5	(*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	12	(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	725
0	106	525
1	243	507
2	678	471
3	2689	471
0	9212	471

Stop Event

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

Calls

Call 1

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

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

localize172.0ms (1.8%)

Memory

-23.5MiB live, 322.5MiB allocated; 32ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(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))))
accuracy	0.08822250976844202	(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
accuracy	6.784223724079613	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J)
accuracy	30.60190155059169	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
accuracy	0.14453125	(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)
accuracy	0.2780075195368841	(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))
accuracy	6.462772498411221	(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))
accuracy	38.268642362858884	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
accuracy	0.0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	0.109375	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	7.351268371477811	(.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	31.15374979078869	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	0.0	(neg.f64 U)
accuracy	38.69433618798943	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy	0.2780075195368841	(.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
accuracy	0.4010925781475361	(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64))
accuracy	7.351268371477811	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (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	9.806602637771274	(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

119.0ms

256×

valid

Compiler

Compiled 688 to 54 computations (92.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 23.0ms (27.6% of total)

ival-cos: 14.0ms (16.8% of total)

ival-div: 10.0ms (12% of total)

ival-pow: 9.0ms (10.8% of total)

ival-add: 7.0ms (8.4% of total)

ival-sin: 6.0ms (7.2% of total)

ival-neg: 5.0ms (6% of total)

ival-pow2: 4.0ms (4.8% of total)

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

ival-sub: 1.0ms (1.2% of total)

exact: 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)

series59.0ms (0.6%)

Memory

33.1MiB live, 79.5MiB allocated; 3ms collecting garbage

Counts

26 → 119

Calls

Call 1

Inputs
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))))))
(*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (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)))
(.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)))) (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)))
(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))
(.f64 (.f64 J J) #s(literal -2 binary64))
(*.f64 J J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(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))))
(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) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 1 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))
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J)
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U 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)
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) U)
(* -2 (pow J 2))
(pow J 2)
(* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K)))))
(/ (+ (* -2 (* (pow J 2) (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* -1/2 K))))) 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 (/ (* 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))))))))
(* -1/4 (/ (pow U 2) J))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* -2 (* J (cos (* -1/2 K))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K)))))))
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)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))))
(+ 1 (* -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)))
0
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(* -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))))))))
(- (* -2 (/ (pow J 2) U)) U)
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U)
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 J)))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (+ (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))) (* (pow K 2) (+ (* 1/23040 J) (* 1/4 (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))))))))
(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 (* -3/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 7/128 (pow K 2)) 3/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 7/128 (* -61/15360 (pow K 2)))) 3/8)))
(/ 1 U)
(+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))
(+ (* (pow K 2) (- (* 1/48 (/ (pow K 2) U)) (* 1/4 (/ 1 U)))) (/ 1 U))
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/1440 (/ (pow K 2) U)) (* 1/48 (/ 1 U)))) (* 1/4 (/ 1 U)))) (/ 1 U))
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(cos (* -1/2 K))
(pow (cos (* -1/2 K)) 2)
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(cos (* 1/2 K))
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (* J (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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(pow (cos (* -1/2 K)) 3)
(/ (pow (cos (* -1/2 K)) 2) U)
(+ (* -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 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) U)
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2)))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))
(* (pow U 2) (- (* -2 (/ (* J (cos (* -1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* -1/2 K)))))))
(* 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)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))
(* 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)))))))
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 (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(/ (* 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))))))))

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	K	@	0	((/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2))))))) (* 0 (sin (/ K 2))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (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)))) (* (* -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)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (cos (* -1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (* 1 (cos (/ K -2))) 3) (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K))))
6.0ms	J	@	0	((/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2))))))) (* 0 (sin (/ K 2))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (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)))) (* (* -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)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (cos (* -1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (* 1 (cos (/ K -2))) 3) (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K))))
6.0ms	J	@	inf	((/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2))))))) (* 0 (sin (/ K 2))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (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)))) (* (* -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)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (cos (* -1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (* 1 (cos (/ K -2))) 3) (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K))))
5.0ms	K	@	inf	((/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2))))))) (* 0 (sin (/ K 2))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (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)))) (* (* -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)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (cos (* -1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (* 1 (cos (/ K -2))) 3) (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K))))
5.0ms	K	@	-inf	((/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2))))))) (* 0 (sin (/ K 2))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (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)))) (* (* -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)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (cos (* -1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (* 1 (cos (/ K -2))) 3) (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K))))

simplify203.0ms (2.1%)

Memory

-13.0MiB live, 213.3MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	622	4145
1	2248	3968
0	9089	3771

Stop Event

1×	iter limit
1×	node limit

Counts

119 → 118

Calls

Call 1

Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) U)
(* -2 (pow J 2))
(pow J 2)
(* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K)))))
(/ (+ (* -2 (* (pow J 2) (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* -1/2 K))))) 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 (/ (* 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))))))))
(* -1/4 (/ (pow U 2) J))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* -2 (* J (cos (* -1/2 K))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K)))))))
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)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))))
(+ 1 (* -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)))
0
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(* -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)))))))))))))
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(+ (* -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))))))))
(- (* -2 (/ (pow J 2) U)) U)
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U)
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 J)))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (+ (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))) (* (pow K 2) (+ (* 1/23040 J) (* 1/4 (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))))))))
(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 (* -3/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 7/128 (pow K 2)) 3/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 7/128 (* -61/15360 (pow K 2)))) 3/8)))
(/ 1 U)
(+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))
(+ (* (pow K 2) (- (* 1/48 (/ (pow K 2) U)) (* 1/4 (/ 1 U)))) (/ 1 U))
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/1440 (/ (pow K 2) U)) (* 1/48 (/ 1 U)))) (* 1/4 (/ 1 U)))) (/ 1 U))
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(cos (* -1/2 K))
(pow (cos (* -1/2 K)) 2)
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(cos (* 1/2 K))
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (* J (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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(pow (cos (* -1/2 K)) 3)
(/ (pow (cos (* -1/2 K)) 2) U)
(+ (* -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 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) U)
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2)))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))
(* (pow U 2) (- (* -2 (/ (* J (cos (* -1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* -1/2 K)))))))
(* 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)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))
(* 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)))))))
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 (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(/ (* 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))))))))

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

rewrite331.0ms (3.4%)

Memory

11.2MiB live, 160.8MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	485
0	106	371
1	375	296
2	2411	294
0	8670	294

Stop Event

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

Counts

26 → 925

Calls

Call 1

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

Outputs
(*.f64 (fabs.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 4 binary64)))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 (fabs.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 4 binary64)))
(*.f64 (sqrt.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 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 (pow.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 4 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.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 4 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)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64)) (fabs.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -1/2 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 -1/2 binary64)))
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (fabs.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 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 2 binary64)) (pow.f64 (/.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 1 binary64)))
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #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))))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -1 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))))
(pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 5 binary64)))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 4 binary64)))
(/.f64 (neg.f64 (-.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 2 binary64)))
(/.f64 (fabs.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 5 binary64)))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 4 binary64)))
(/.f64 (fabs.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 9 binary64))) (fabs.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 8 binary64))))
(/.f64 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 4 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 K) (PI.f64)) K) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (/.f64 K #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (+.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 K) (PI.f64)) (neg.f64 K)) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (/.f64 K #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 K) (PI.f64)) (+.f64 (neg.f64 K) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 K #s(literal -2 binary64)))) (cos.f64 (/.f64 (-.f64 K (neg.f64 K)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 (/.f64 K #s(literal -2 binary64)) (/.f64 K #s(literal 2 binary64)))) (cos.f64 (/.f64 (-.f64 K (neg.f64 K)) #s(literal -2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal -2 binary64)))) (cos.f64 (/.f64 (-.f64 K K) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (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)) (pow.f64 (cos.f64 (/.f64 K #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 5 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 4 binary64)))
(/.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 9 binary64)) (neg.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 8 binary64))))
(/.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 9 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 8 binary64)))
(/.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 6 binary64)) (neg.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 5 binary64))))
(/.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 6 binary64)) (fabs.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 5 binary64))))
(/.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 6 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 5 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 (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)))
(neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))
(fma.f64 (fabs.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 4 binary64)))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (fabs.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 4 binary64)))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (fabs.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 4 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (fabs.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 4 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.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) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (sqrt.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))
(fma.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.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 4 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (pow.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 4 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.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 4 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.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 4 binary64))) (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 -3 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 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 4 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 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 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64)) (fabs.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64)) (fabs.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -1/2 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 -1/2 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 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 -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (fabs.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
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(/.f64 (+.f64 (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)) (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))) (cos.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)) (fma.f64 #s(literal 1/2 binary64) K (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)) (fma.f64 #s(literal -1/2 binary64) K (PI.f64)))) (cos.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)) (fma.f64 #s(literal -1/2 binary64) K (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))) (cos.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) K (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) K (PI.f64)))) (cos.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) K (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 (.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (-.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 1/2 binary64) K))) (cos.f64 (-.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (-.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (neg.f64 (.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) K) (neg.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (neg.f64 (.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (-.f64 (.f64 #s(literal -1/2 binary64) K) (neg.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) K))) (sin.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) K))) (sin.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) K) (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (.f64 #s(literal 1/2 binary64) K))) (cos.f64 (-.f64 (.f64 #s(literal -1/2 binary64) K) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) K) (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 #s(literal 1 binary64) (.f64 (sin.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) K))) (sin.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(fabs.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) K (PI.f64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) K (PI.f64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 U))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 U)))
(/.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (neg.f64 U))
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(neg.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U))
(neg.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (neg.f64 U)))
(.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64))
(.f64 (.f64 #s(literal -1/4 binary64) U) (/.f64 U J))
(.f64 (.f64 U U) (/.f64 #s(literal -1/4 binary64) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)))) (neg.f64 (neg.f64 (neg.f64 J))))
(/.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U))) (neg.f64 (neg.f64 J)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (neg.f64 J))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J)
(neg.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) J)))
(.f64 (/.f64 (.f64 #s(literal -1/4 binary64) U) J) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal -1/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 #s(literal -1/4 binary64) U) (/.f64 U (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)))
(.f64 (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)))
(.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)))
(/.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U))) (neg.f64 (.f64 (neg.f64 J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U))) (neg.f64 (neg.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (neg.f64 J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (neg.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)))
(/.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) J)) (neg.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) J)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))))
(/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))))
(/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))
(neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))

eval215.0ms (2.2%)

Memory: -15.7MiB live, 216.5MiB allocated; 23ms collecting garbage
Compiler: Compiled 49 198 to 4 164 computations (91.5% saved)

prune63.0ms (0.6%)

Memory

-7.5MiB live, 57.4MiB allocated; 7ms collecting garbage

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	816	15	831
Fresh	5	2	7
Picked	4	1	5
Done	0	0	0
Total	825	18	843

Accuracy

100.0%

Counts

843 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.1%	(.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)))
	25.2%	(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fma.f64 J J #s(literal 0 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)))))
	51.0%	(.f64 (.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 6 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 4 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	54.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (sqrt.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 K #s(literal -2 binary64)))) (cos.f64 (/.f64 (-.f64 K K) #s(literal 2 binary64))))) (sqrt.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)))))
▶	55.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
▶	25.6%	(.f64 #s(approx ( (* -2 J) (cos (/ 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 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	25.8%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
▶	15.3%	#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
	32.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)) U)) (neg.f64 U)))
	36.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
	12.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (.f64 U U)) #s(literal 1 binary64)) (neg.f64 U)))
✓	39.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
▶	38.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
	26.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 J #s(literal -2 binary64)))))
	24.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))))
	30.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)))
	5.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
	51.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))

Compiler

Compiled 1 763 to 1 135 computations (35.6% saved)

simplify158.0ms (1.6%)

Memory

13.0MiB live, 146.8MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 J #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)))
cost-diff	0	(.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)))
cost-diff	9	(/.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)))
cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff	0	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
cost-diff	0	#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
cost-diff	8	(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
cost-diff	0	(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 J #s(literal -2 binary64)))
cost-diff	0	#s(approx (* (* -2 J) (cos (/ 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 J #s(literal -2 binary64))))
cost-diff	0	(.f64 #s(approx ( (* -2 J) (cos (/ 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 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
cost-diff	2	(fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J))
cost-diff	0	(.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))
cost-diff	0	(-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)
cost-diff	0	#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) 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)))) #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)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	639
0	132	593
1	333	578
2	1013	544
3	5834	544
0	8059	536

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)))) #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)))))
(.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))) (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 (/.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)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))
(-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)
(.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))
(/.f64 (*.f64 J J) U)
(*.f64 J J)
J
U
#s(literal -2 binary64)
(.f64 #s(approx ( (* -2 J) (cos (/ 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 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* -2 J) (cos (/ K 2))) (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 J #s(literal -2 binary64))))
(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 J #s(literal -2 binary64)))
(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 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K)
(fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J))
#s(literal 1/23040 binary64)
(.f64 (.f64 K K) J)
(*.f64 K K)
K
J
(*.f64 #s(literal -1/192 binary64) J)
#s(literal -1/192 binary64)
(*.f64 #s(literal 1/4 binary64) J)
#s(literal 1/4 binary64)
(*.f64 J #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) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
U
(.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 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 J #s(literal -2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 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 3 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)

Outputs
(.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)))))
(.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))) #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))) (sqrt.f64 (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))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) 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.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)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))
(-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)
(.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))
(/.f64 (*.f64 J J) U)
(*.f64 J J)
J
U
#s(literal -2 binary64)
(.f64 #s(approx ( (* -2 J) (cos (/ 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 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)) #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (.f64 (.f64 K J) (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) K (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 J #s(literal -2 binary64)))))
#s(approx (* (* -2 J) (cos (/ 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 J #s(literal -2 binary64))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (.f64 (.f64 K J) (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) K (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 J #s(literal -2 binary64))))
(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 J #s(literal -2 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 K J) (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) K (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 J #s(literal -2 binary64)))
(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))
(fma.f64 (.f64 (.f64 K J) (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) K (.f64 #s(literal 1/4 binary64) J))
(.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K)
(.f64 (.f64 K J) (fma.f64 (*.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64)))
(fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J))
(.f64 (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64)) J)
#s(literal 1/23040 binary64)
(.f64 (.f64 K K) J)
(*.f64 K K)
K
J
(*.f64 #s(literal -1/192 binary64) J)
#s(literal -1/192 binary64)
(*.f64 #s(literal 1/4 binary64) J)
#s(literal 1/4 binary64)
(*.f64 J #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) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (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 U #s(literal 1 binary64)))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 U #s(literal 1 binary64))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
U
(.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 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) J) #s(literal -2 binary64)) (cos.f64 (/.f64 K #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)))
(.f64 (cos.f64 (/.f64 K #s(literal -2 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)) (.f64 J #s(literal -2 binary64)))
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 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 3 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)

localize293.0ms (3%)

Memory

12.4MiB live, 301.5MiB allocated; 24ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2780075195368841	(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))
accuracy	0.4010925781475361	(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64))
accuracy	7.351268371477811	(.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)))
accuracy	31.15374979078869	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	0.0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.109375	(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
accuracy	0.1171875	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
accuracy	54.20497079203824	#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
accuracy	7.319520728553501	(.f64 (.f64 K K) J)
accuracy	7.351268371477811	(.f64 #s(approx ( (* -2 J) (cos (/ 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 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
accuracy	31.15374979078869	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	31.984905530261624	#s(approx (* (* -2 J) (cos (/ 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 J #s(literal -2 binary64))))
accuracy	0.00390625	(.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))
accuracy	6.422664003512557	#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))
accuracy	8.388134016812938	(/.f64 (*.f64 J J) U)
accuracy	38.268642362858884	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
accuracy	6.791577165952048	(/.f64 (*.f64 U U) J)
accuracy	7.351268371477811	(.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)))))
accuracy	9.82577406127354	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
accuracy	10.172908713823015	#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))))

Samples

225.0ms

256×

valid

Compiler

Compiled 518 to 81 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-mult: 58.0ms (34.9% of total)

ival-cos: 34.0ms (20.5% of total)

ival-add: 25.0ms (15.1% of total)

ival-div: 14.0ms (8.4% of total)

ival-pow: 9.0ms (5.4% of total)

const: 7.0ms (4.2% of total)

ival-pow2: 7.0ms (4.2% of total)

ival-sin: 5.0ms (3% of total)

ival-sqrt: 3.0ms (1.8% of total)

ival-sub: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

adjust: 0.0ms (0% of total)

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

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

series91.0ms (0.9%)

Memory

12.7MiB live, 105.9MiB allocated; 5ms collecting garbage

Counts

28 → 140

Calls

Call 1

Inputs
(.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)))))
(.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)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))
(-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)
(.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))
(fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J))
(.f64 #s(approx ( (* -2 J) (cos (/ 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 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* -2 J) (cos (/ K 2))) (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 J #s(literal -2 binary64))))
(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 J #s(literal -2 binary64)))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(/.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 J #s(literal -2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 J #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))))
(sqrt.f64 (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 J J) U)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(.f64 (.f64 K K) J)
(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))

Outputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) U)
(- (* -2 (/ (pow J 2) U)) U)
(* -2 (/ (pow J 2) U))
(* J (- (* 1/23040 (pow K 2)) 1/192))
(* J (- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2))
(* -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))))
(* -2 (* J (pow (cos (* -1/2 K)) 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)
(* 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)
(/ (pow U 2) J)
(/ (pow J 2) U)
(* J (pow 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))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (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 (* 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 (+ 1/192 (* -1/23040 (pow K 2)))))
(* -1 (* J (+ 2 (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))))
(* -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)))
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U)
(* -1/192 J)
(+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))
U
(+ U (* -1/8 (* (pow K 2) U)))
(+ U (* (pow K 2) (+ (* -1/8 U) (* 1/384 (* (pow K 2) U)))))
(+ U (* (pow K 2) (+ (* -1/8 U) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) U)) (* 1/384 U))))))
(+ (* -2 J) (* 3/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -7/64 (* J (pow K 2))) (* 3/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 3/4 J) (* (pow K 2) (+ (* -7/64 J) (* 61/7680 (* J (pow K 2))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ 1 (* -3/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 7/128 (pow K 2)) 3/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 7/128 (* -61/15360 (pow K 2)))) 3/8)))
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(* -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))
(* 1/23040 (* J (pow K 2)))
(* (pow K 2) (+ (* -1/192 (/ J (pow K 2))) (* 1/23040 J)))
(* 1/23040 (* J (pow K 6)))
(* (pow K 6) (+ (* -1/192 (/ J (pow K 2))) (* 1/23040 J)))
(* (pow K 6) (+ (* -1/192 (/ J (pow K 2))) (+ (* 1/23040 J) (* 1/4 (/ J (pow K 4))))))
(* (pow K 6) (+ (* -2 (/ J (pow K 6))) (+ (* -1/192 (/ J (pow K 2))) (+ (* 1/23040 J) (* 1/4 (/ J (pow K 4)))))))
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* U (cos (* 1/2 K)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(pow (cos (* -1/2 K)) 3)
(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 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2)))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* -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))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 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))))))
(* 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))))))
(* 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)))))))
(* 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 (+ (* 1/2 (/ 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))))))
(* -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 (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1 (* 2 (/ (pow J 2) (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))))))))
(* -1/2 (/ 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)))))))
(* -1/2 (/ 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)))))))

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	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)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (- (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (* K K)) (* J -2)) (/ (* (cos (* 1/2 K)) U) (cos (* 1/2 K))) (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* 1/2 K)) U) (cos (* 1/2 K)) (/ (* (* J -2) (pow (cos (/ K -2)) 3)) (pow (cos (/ K -2)) 2)) (* (/ (* (* J -2) (pow (cos (/ K -2)) 3)) (pow (cos (/ K -2)) 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (pow (cos (/ K -2)) 3)) (* J -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (/ (* J J) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* K K) J) (pow (cos (/ K -2)) 3) (pow (cos (/ K -2)) 2))
26.0ms	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)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (- (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (* K K)) (* J -2)) (/ (* (cos (* 1/2 K)) U) (cos (* 1/2 K))) (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* 1/2 K)) U) (cos (* 1/2 K)) (/ (* (* J -2) (pow (cos (/ K -2)) 3)) (pow (cos (/ K -2)) 2)) (* (/ (* (* J -2) (pow (cos (/ K -2)) 3)) (pow (cos (/ K -2)) 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (pow (cos (/ K -2)) 3)) (* J -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (/ (* J J) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* K K) J) (pow (cos (/ K -2)) 3) (pow (cos (/ K -2)) 2))
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)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (- (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (* K K)) (* J -2)) (/ (* (cos (* 1/2 K)) U) (cos (* 1/2 K))) (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* 1/2 K)) U) (cos (* 1/2 K)) (/ (* (* J -2) (pow (cos (/ K -2)) 3)) (pow (cos (/ K -2)) 2)) (* (/ (* (* J -2) (pow (cos (/ K -2)) 3)) (pow (cos (/ K -2)) 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (pow (cos (/ K -2)) 3)) (* J -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (/ (* J J) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* K K) J) (pow (cos (/ K -2)) 3) (pow (cos (/ K -2)) 2))
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)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (- (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (* K K)) (* J -2)) (/ (* (cos (* 1/2 K)) U) (cos (* 1/2 K))) (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* 1/2 K)) U) (cos (* 1/2 K)) (/ (* (* J -2) (pow (cos (/ K -2)) 3)) (pow (cos (/ K -2)) 2)) (* (/ (* (* J -2) (pow (cos (/ K -2)) 3)) (pow (cos (/ K -2)) 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (pow (cos (/ K -2)) 3)) (* J -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (/ (* J J) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* K K) J) (pow (cos (/ K -2)) 3) (pow (cos (/ K -2)) 2))
5.0ms	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)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (- (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (* K K)) (* J -2)) (/ (* (cos (* 1/2 K)) U) (cos (* 1/2 K))) (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* 1/2 K)) U) (cos (* 1/2 K)) (/ (* (* J -2) (pow (cos (/ K -2)) 3)) (pow (cos (/ K -2)) 2)) (* (/ (* (* J -2) (pow (cos (/ K -2)) 3)) (pow (cos (/ K -2)) 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (pow (cos (/ K -2)) 3)) (* J -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (/ (* J J) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* K K) J) (pow (cos (/ K -2)) 3) (pow (cos (/ K -2)) 2))

simplify213.0ms (2.2%)

Memory

-4.1MiB live, 238.1MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	682	4339
1	2405	4189
0	9448	3984

Stop Event

1×	iter limit
1×	node limit

Counts

140 → 139

Calls

Call 1

Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) U)
(- (* -2 (/ (pow J 2) U)) U)
(* -2 (/ (pow J 2) U))
(* J (- (* 1/23040 (pow K 2)) 1/192))
(* J (- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2))
(* -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))))
(* -2 (* J (pow (cos (* -1/2 K)) 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)
(* 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)
(/ (pow U 2) J)
(/ (pow J 2) U)
(* J (pow 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))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (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 (* 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 (+ 1/192 (* -1/23040 (pow K 2)))))
(* -1 (* J (+ 2 (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))))
(* -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)))
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U)
(* -1/192 J)
(+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))
U
(+ U (* -1/8 (* (pow K 2) U)))
(+ U (* (pow K 2) (+ (* -1/8 U) (* 1/384 (* (pow K 2) U)))))
(+ U (* (pow K 2) (+ (* -1/8 U) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) U)) (* 1/384 U))))))
(+ (* -2 J) (* 3/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -7/64 (* J (pow K 2))) (* 3/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 3/4 J) (* (pow K 2) (+ (* -7/64 J) (* 61/7680 (* J (pow K 2))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ 1 (* -3/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 7/128 (pow K 2)) 3/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 7/128 (* -61/15360 (pow K 2)))) 3/8)))
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(* -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))
(* 1/23040 (* J (pow K 2)))
(* (pow K 2) (+ (* -1/192 (/ J (pow K 2))) (* 1/23040 J)))
(* 1/23040 (* J (pow K 6)))
(* (pow K 6) (+ (* -1/192 (/ J (pow K 2))) (* 1/23040 J)))
(* (pow K 6) (+ (* -1/192 (/ J (pow K 2))) (+ (* 1/23040 J) (* 1/4 (/ J (pow K 4))))))
(* (pow K 6) (+ (* -2 (/ J (pow K 6))) (+ (* -1/192 (/ J (pow K 2))) (+ (* 1/23040 J) (* 1/4 (/ J (pow K 4)))))))
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* U (cos (* 1/2 K)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(pow (cos (* -1/2 K)) 3)
(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 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2)))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* -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))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 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))))))
(* 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))))))
(* 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)))))))
(* 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 (+ (* 1/2 (/ 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))))))
(* -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 (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1 (* 2 (/ (pow J 2) (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))))))))
(* -1/2 (/ 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)))))))
(* -1/2 (/ 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)))))))

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 (.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 #s(literal -4 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64))) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 J J) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) 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))
(- (* -2 (/ (pow J 2) U)) U)
(-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)
(* -2 (/ (pow J 2) U))
(.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))
(* J (- (* 1/23040 (pow K 2)) 1/192))
(.f64 (-.f64 (.f64 (*.f64 K K) #s(literal 1/23040 binary64)) #s(literal 1/192 binary64)) J)
(* J (- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2))
(.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/23040 binary64)) #s(literal 1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) K) K) #s(literal 2 binary64)) J)
(* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))
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(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (.f64 U U)) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (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 #s(literal 2 binary64) (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))) (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))
(* -1/2 (/ 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))

rewrite180.0ms (1.9%)

Memory

0.7MiB live, 191.9MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	523
0	132	477
1	533	425
2	3601	405
0	8426	401

Stop Event

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

Counts

28 → 635

Calls

Call 1

Inputs
(.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)))))
(.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)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))
(-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)
(.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))
(fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J))
(.f64 #s(approx ( (* -2 J) (cos (/ 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 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* -2 J) (cos (/ K 2))) (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 J #s(literal -2 binary64))))
(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 J #s(literal -2 binary64)))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(/.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 J #s(literal -2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 J #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))))
(sqrt.f64 (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 J J) U)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(.f64 (.f64 K K) J)
(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))

Outputs
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (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))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) #s(literal -2 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))) (.f64 J #s(literal -2 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))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 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))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))))
(.f64 (.f64 J #s(literal -2 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))))
(.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))))))
(.f64 #s(literal -2 binary64) (.f64 J (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))))))
(.f64 #s(literal -2 binary64) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 J #s(literal -2 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 4 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 3 binary64)) (*.f64 J #s(literal -2 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 6 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 4 binary64)))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) J)
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) J)
(.f64 (/.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 J #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 J #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (/.f64 J (cos.f64 (/.f64 K #s(literal -2 binary64)))) (/.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 (/.f64 J #s(literal 1 binary64)) (/.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(literal -2 binary64))
(.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #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 (cos.f64 (/.f64 K #s(literal -2 binary64))) (neg.f64 (.f64 #s(literal 2 binary64) J)))
(.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 #s(literal 2 binary64) J))
(.f64 (.f64 J #s(literal -2 binary64)) (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) (neg.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(.f64 J (.f64 #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 J (/.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))))
(.f64 #s(literal -2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(/.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) (.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(/.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) (.f64 J #s(literal -2 binary64))) #s(literal 1 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)) (.f64 J #s(literal -2 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))
(neg.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))))
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(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 (.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 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(+.f64 (.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))))
(+.f64 (.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))))
(+.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
(*.f64 (pow.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 4 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1 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)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 4 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)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -1/2 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 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) #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 -1/2 binary64)))
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(cos.f64 (+.f64 (/.f64 K #s(literal -2 binary64)) (PI.f64)))
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(+.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))
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(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 K #s(literal -2 binary64))))))

eval170.0ms (1.8%)

Memory: 5.5MiB live, 193.4MiB allocated; 19ms collecting garbage
Compiler: Compiled 41 536 to 3 550 computations (91.5% saved)

prune72.0ms (0.7%)

Memory

-18.8MiB live, 71.8MiB allocated; 8ms collecting garbage

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	746	9	755
Fresh	7	5	12
Picked	4	1	5
Done	0	1	1
Total	757	16	773

Accuracy

100.0%

Counts

773 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.1%	(.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 (pow (cos (/ K -2)) 2) (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)))
	51.1%	(.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 3 binary64)) (.f64 J #s(literal -2 binary64))) (/.f64 #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))))
▶	55.3%	(.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (/.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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	43.2%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	43.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (acos.f64 (sin.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)))))
▶	43.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (asin.f64 (sin.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)))))
▶	25.8%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
▶	15.3%	#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U #s(literal 1 binary64)))
✓	39.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
✓	38.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
	40.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 J U) J) #s(literal -2 binary64)) U)))
	38.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)))
	26.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 J #s(literal -2 binary64)))))
	24.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))))
	30.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)))
▶	51.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))

Compiler

Compiled 1 501 to 977 computations (34.9% saved)

simplify172.0ms (1.8%)

Memory

-19.4MiB live, 127.3MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 (asin.f64 (sin.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 (asin.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))))))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (asin.f64 (sin.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)))))
cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff	0	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
cost-diff	0	#s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 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)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 K K))
cost-diff	0	#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (*.f64 J #s(literal -2 binary64))))
cost-diff	0	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
cost-diff	2	(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (*.f64 J #s(literal -2 binary64)))
cost-diff	0	#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U #s(literal 1 binary64)))
cost-diff	2	(*.f64 U #s(literal 1 binary64))
cost-diff	0	(cos.f64 (/.f64 K #s(literal -2 binary64)))
cost-diff	0	(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))
cost-diff	0	(.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
cost-diff	0	(.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (/.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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	577
0	109	536
1	293	524
2	867	515
3	3774	515
0	8156	510

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (/.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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) (.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)) (/.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.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)))
(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))
(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 2 binary64)
(/.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(/.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(literal -2 binary64))
J
#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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) 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.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)
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
(*.f64 U #s(literal 1 binary64))
U
U
#s(literal 1 binary64)
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.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)) #s(approx (* (* -2 J) (cos (/ K 2))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) K) K #s(literal -2 binary64)) J)))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* -2 J) (cos (/ K 2))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) K) K #s(literal -2 binary64)) J))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (*.f64 J #s(literal -2 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) K) K #s(literal -2 binary64)) J)
(.f64 #s(literal 1/4 binary64) (.f64 K K))
(.f64 (.f64 K K) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 K K)
K
J
(*.f64 J #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)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
#s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (asin.f64 (sin.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)))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) #s(literal -2 binary64)) (.f64 (cos.f64 (asin.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))))) J))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (asin.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))))))
(.f64 (cos.f64 (asin.f64 (sin.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 (asin.f64 (sin.f64 (/.f64 K #s(literal 2 binary64)))))
(asin.f64 (sin.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)
#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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) 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.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)

localize335.0ms (3.5%)

Memory

-6.2MiB live, 285.1MiB allocated; 47ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	6.791577165952048	(/.f64 (*.f64 U U) J)
accuracy	7.351268371477811	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (asin.f64 (sin.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)))))
accuracy	9.82577406127354	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
accuracy	10.172908713823015	#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))))
accuracy	0.0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.109375	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
accuracy	30.60190155059169	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
accuracy	31.555993205105885	#s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
accuracy	3.770285944534199	(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (*.f64 J #s(literal -2 binary64)))
accuracy	7.351268371477811	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
accuracy	31.15374979078869	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	31.93407870000848	#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (*.f64 J #s(literal -2 binary64))))
accuracy	0.0	(*.f64 U #s(literal 1 binary64))
accuracy	54.20497079203824	#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U #s(literal 1 binary64)))
accuracy	6.791577165952048	(/.f64 (*.f64 U U) J)
accuracy	7.351268371477811	(.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (/.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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
accuracy	9.82577406127354	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
accuracy	10.172908713823015	#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))))

Samples

291.0ms

256×

valid

Compiler

Compiled 466 to 71 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-mult: 122.0ms (64.5% of total)

ival-cos: 23.0ms (12.2% of total)

ival-div: 14.0ms (7.4% of total)

ival-add: 7.0ms (3.7% of total)

ival-pow: 6.0ms (3.2% of total)

ival-sin: 5.0ms (2.6% of total)

ival-pow2: 5.0ms (2.6% of total)

ival-asin: 3.0ms (1.6% of total)

ival-sqrt: 3.0ms (1.6% of total)

ival-sub: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

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

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

series94.0ms (1%)

Memory

6.5MiB live, 58.6MiB allocated; 4ms collecting garbage

Counts

22 → 115

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (/.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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J #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))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(*.f64 U #s(literal 1 binary64))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (*.f64 J #s(literal -2 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (*.f64 J #s(literal -2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 K K))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (asin.f64 (sin.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)))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (asin.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 #s(literal -2 binary64) J)
(cos.f64 (asin.f64 (sin.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))))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
(/.f64 (*.f64 U U) J)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #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))))
(* J (- (* 1/4 (pow K 2)) 2))
(* -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))))
(* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K)))))
(/ (+ (* -2 (* (pow J 2) (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* -1/2 K))))) J)
(* -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)
(* 1/2 (/ 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)
(/ (pow U 2) 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))))))
(* 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 (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K)))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (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 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -1 (* J (+ (* 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 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(+ 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)))
(* 1/4 (pow K 2))
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 J)))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (+ (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))) (* (pow K 2) (+ (* 1/23040 J) (* 1/4 (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(pow (cos (* -1/2 K)) 2)
(cos (* -1/2 K))
(* 1/4 (* J (pow K 2)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* -2 (* (* J (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))))))
(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) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2)))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))))
U
(+ (* -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)))))))
(+ 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))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))
(* 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)))))))
(* 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))
(* (pow U 2) (- (* -2 (/ (* J (cos (* -1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* -1/2 K)))))))
(* 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 (+ (* 1/2 (/ 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 (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)))
(* -1/2 (/ 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)))))))
(* -1/2 (/ 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)))))))

Calls

9 calls:

Time	Variable		Point	Expression
65.0ms	U	@	inf	((* (* (pow (cos (/ K -2)) 2) (/ (* J -2) (cos (/ K -2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (pow (cos (/ K -2)) 2) (/ (* J -2) (cos (/ K -2)))) (pow (cos (/ K -2)) 2) (cos (/ K -2)) (* U 1) (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* 1/4 (* K K)) J) (* J -2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* 1/4 (* K K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (* (cos (* 1/2 K)) (* J -2)) (cos (* 1/2 K)) (* (* (* -2 J) (cos (asin (sin (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (asin (sin (/ K 2))))) (* -2 J) (cos (asin (sin (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
4.0ms	K	@	inf	((* (* (pow (cos (/ K -2)) 2) (/ (* J -2) (cos (/ K -2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (pow (cos (/ K -2)) 2) (/ (* J -2) (cos (/ K -2)))) (pow (cos (/ K -2)) 2) (cos (/ K -2)) (* U 1) (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* 1/4 (* K K)) J) (* J -2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* 1/4 (* K K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (* (cos (* 1/2 K)) (* J -2)) (cos (* 1/2 K)) (* (* (* -2 J) (cos (asin (sin (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (asin (sin (/ K 2))))) (* -2 J) (cos (asin (sin (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
4.0ms	J	@	-inf	((* (* (pow (cos (/ K -2)) 2) (/ (* J -2) (cos (/ K -2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (pow (cos (/ K -2)) 2) (/ (* J -2) (cos (/ K -2)))) (pow (cos (/ K -2)) 2) (cos (/ K -2)) (* U 1) (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* 1/4 (* K K)) J) (* J -2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* 1/4 (* K K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (* (cos (* 1/2 K)) (* J -2)) (cos (* 1/2 K)) (* (* (* -2 J) (cos (asin (sin (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (asin (sin (/ K 2))))) (* -2 J) (cos (asin (sin (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
4.0ms	J	@	0	((* (* (pow (cos (/ K -2)) 2) (/ (* J -2) (cos (/ K -2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (pow (cos (/ K -2)) 2) (/ (* J -2) (cos (/ K -2)))) (pow (cos (/ K -2)) 2) (cos (/ K -2)) (* U 1) (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* 1/4 (* K K)) J) (* J -2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* 1/4 (* K K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (* (cos (* 1/2 K)) (* J -2)) (cos (* 1/2 K)) (* (* (* -2 J) (cos (asin (sin (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (asin (sin (/ K 2))))) (* -2 J) (cos (asin (sin (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
4.0ms	K	@	-inf	((* (* (pow (cos (/ K -2)) 2) (/ (* J -2) (cos (/ K -2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (pow (cos (/ K -2)) 2) (/ (* J -2) (cos (/ K -2)))) (pow (cos (/ K -2)) 2) (cos (/ K -2)) (* U 1) (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* 1/4 (* K K)) J) (* J -2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* 1/4 (* K K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (* (cos (* 1/2 K)) (* J -2)) (cos (* 1/2 K)) (* (* (* -2 J) (cos (asin (sin (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (asin (sin (/ K 2))))) (* -2 J) (cos (asin (sin (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

simplify319.0ms (3.3%)

Memory

34.5MiB live, 345.7MiB allocated; 70ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	603	4048
1	2158	3898
0	8653	3706

Stop Event

1×	iter limit
1×	node limit

Counts

115 → 114

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

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

rewrite261.0ms (2.7%)

Memory

-18.3MiB live, 278.7MiB allocated; 71ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	439
0	109	392
1	462	340
2	2931	340
0	10062	335

Stop Event

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

Counts

22 → 690

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (.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))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) (/.f64 (.f64 J #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 (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))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) (/.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) (/.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (.f64 J #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (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))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))))
(/.f64 (.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))) (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 J #s(literal -2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 (*.f64 J #s(literal 2 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 (.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 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 2 binary64)) J) (/.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (.f64 J #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 J #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 J (.f64 (/.f64 #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)) (.f64 J #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 J #s(literal -2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (.f64 J #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (fabs.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 4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 (pow.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 4 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8 binary64)))
(*.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 4 binary64)))
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 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 4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64))))) (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))))) (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 6 binary64))))) (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) (+.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 K) (PI.f64)) K) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (/.f64 K #s(literal 2 binary64))))))) (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) (+.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 K) (PI.f64)) (neg.f64 K)) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (/.f64 K #s(literal -2 binary64))))))) (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 K) (PI.f64)) (+.f64 (neg.f64 K) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64))))))) (*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) (+.f64 (cos.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 K #s(literal -2 binary64)))) (cos.f64 (/.f64 (-.f64 K (neg.f64 K)) #s(literal 2 binary64)))))) (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) (+.f64 (cos.f64 (+.f64 (/.f64 K #s(literal -2 binary64)) (/.f64 K #s(literal 2 binary64)))) (cos.f64 (/.f64 (-.f64 K (neg.f64 K)) #s(literal -2 binary64)))))) (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 K #s(literal -2 binary64)))) (cos.f64 (/.f64 (-.f64 K K) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 10 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 6 binary64)))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 6 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))))))
(/.f64 (fabs.f64 (+.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 K) (PI.f64)) K) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (/.f64 K #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 K) (PI.f64)) (neg.f64 K)) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (/.f64 K #s(literal -2 binary64)))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 K) (PI.f64)) (+.f64 (neg.f64 K) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (cos.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 K #s(literal -2 binary64)))) (cos.f64 (/.f64 (-.f64 K (neg.f64 K)) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (cos.f64 (+.f64 (/.f64 K #s(literal -2 binary64)) (/.f64 K #s(literal 2 binary64)))) (cos.f64 (/.f64 (-.f64 K (neg.f64 K)) #s(literal -2 binary64))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal -2 binary64)))) (cos.f64 (/.f64 (-.f64 K K) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64))) (+.f64 (/.f64 K #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64))) (+.f64 (/.f64 K #s(literal 2 binary64)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64))) (+.f64 (/.f64 K #s(literal -2 binary64)) (PI.f64)))) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64))) (+.f64 (/.f64 K #s(literal -2 binary64)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64))) (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64))) (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) (+.f64 (/.f64 K #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (+.f64 (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) (+.f64 (/.f64 K #s(literal 2 binary64)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) (+.f64 (/.f64 K #s(literal -2 binary64)) (PI.f64)))) (sin.f64 (+.f64 (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) (+.f64 (/.f64 K #s(literal -2 binary64)) (PI.f64))))) #s(literal 2 binary64))
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(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64))) (sin.f64 (PI.f64))))
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(fma.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))) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))
(sin.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)))))
(sin.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (PI.f64))))
(sin.f64 (neg.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64))))
(sin.f64 (neg.f64 (/.f64 (-.f64 (PI.f64) K) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)) (PI.f64)))
(sin.f64 (+.f64 (/.f64 (-.f64 (PI.f64) K) #s(literal 2 binary64)) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (/.f64 K #s(literal -2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (acos.f64 (fabs.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))))))
(sin.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (PI.f64)))
(sin.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)))
(sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))
(sin.f64 (/.f64 (-.f64 (PI.f64) K) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)))
(-.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) (sin.f64 (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)))))
(-.f64 (.f64 #s(literal 1 binary64) (cos.f64 (-.f64 (/.f64 (-.f64 (PI.f64) K) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 #s(literal 0 binary64) (sin.f64 (-.f64 (/.f64 (-.f64 (PI.f64) K) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64))) #s(literal 0 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(-.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (PI.f64))) (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (PI.f64))))
(-.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (PI.f64))) (.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) (sin.f64 (PI.f64))))
(-.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(fabs.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (neg.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (/.f64 K #s(literal -2 binary64)) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (/.f64 K #s(literal -2 binary64)) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (/.f64 (-.f64 (PI.f64) K) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (asin.f64 (fabs.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))))))
(cos.f64 (+.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (PI.f64)))
(cos.f64 (+.f64 (/.f64 K #s(literal -2 binary64)) (PI.f64)))
(cos.f64 (+.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(+.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (PI.f64))) (.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64))) (sin.f64 (PI.f64))))
(+.f64 (cosh.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) (sinh.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(+.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(+.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(+.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 U))) (sqrt.f64 (neg.f64 (neg.f64 U))))
(*.f64 (sqrt.f64 (neg.f64 U)) (sqrt.f64 (neg.f64 U)))
(*.f64 (sqrt.f64 U) (sqrt.f64 U))
(*.f64 U #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) U)
(pow.f64 (neg.f64 U) #s(literal 1 binary64))
(pow.f64 (*.f64 U U) #s(literal 1/2 binary64))
(pow.f64 U #s(literal 1 binary64))
(sqrt.f64 (*.f64 U U))
(fabs.f64 (neg.f64 (neg.f64 U)))
(fabs.f64 (neg.f64 U))
(fabs.f64 U)
(exp.f64 (/.f64 (*.f64 (log.f64 U) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 U) #s(literal 1 binary64)))
U
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
(.f64 J (fma.f64 (.f64 #s(literal 1/4 binary64) K) K #s(literal -2 binary64)))
(.f64 J (+.f64 #s(literal -2 binary64) (.f64 (*.f64 K K) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 K K) J) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 J #s(literal -2 binary64)) (-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J)))) (.f64 (fma.f64 (pow.f64 (.f64 (.f64 K K) J) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 J #s(literal -2 binary64)) (-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J)))) (pow.f64 (.f64 J #s(literal -2 binary64)) #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (.f64 (.f64 K K) J) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 J #s(literal -2 binary64)) (-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J)))) (fma.f64 (pow.f64 (.f64 (.f64 K K) J) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 J #s(literal -2 binary64)) (-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (pow.f64 (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J) #s(literal 2 binary64))) (-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (*.f64 K K) #s(literal 1/4 binary64)) J)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 J #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 (.f64 K K) J) #s(literal 2 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 4 binary64) (.f64 J J) (.f64 (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J) (.f64 J #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 J J)))) (neg.f64 (.f64 J (-.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 K K) J) #s(literal 3 binary64)) #s(literal 1/64 binary64) (pow.f64 (.f64 J #s(literal -2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 K K) J) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 J #s(literal -2 binary64)) (-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (*.f64 K K) #s(literal 1/4 binary64)) J))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 J J))) (.f64 J (-.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) #s(literal -2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 K K) J) #s(literal 3 binary64)) #s(literal 1/64 binary64) (pow.f64 (.f64 J #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 J J) (-.f64 (pow.f64 (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J) #s(literal -2 binary64)) J))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 K K) J) #s(literal 3 binary64)) #s(literal 1/64 binary64) (pow.f64 (.f64 J #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (.f64 K K) J) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 J #s(literal -2 binary64)) (-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (*.f64 K K) #s(literal 1/4 binary64)) J)))))
(fma.f64 (.f64 J (.f64 #s(literal 1/4 binary64) K)) K (*.f64 (neg.f64 (neg.f64 J)) #s(literal -2 binary64)))
(fma.f64 (.f64 J (.f64 #s(literal 1/4 binary64) K)) K (*.f64 J #s(literal -2 binary64)))
(fma.f64 (.f64 J #s(literal 1/4 binary64)) (.f64 K K) (*.f64 (neg.f64 (neg.f64 J)) #s(literal -2 binary64)))
(fma.f64 (.f64 J #s(literal 1/4 binary64)) (.f64 K K) (*.f64 J #s(literal -2 binary64)))
(fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 (neg.f64 (neg.f64 J)) #s(literal -2 binary64)))
(fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64)))
(fma.f64 (.f64 #s(literal 1/4 binary64) K) (.f64 K J) (*.f64 (neg.f64 (neg.f64 J)) #s(literal -2 binary64)))
(fma.f64 (.f64 #s(literal 1/4 binary64) K) (.f64 K J) (*.f64 J #s(literal -2 binary64)))
(fma.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J (*.f64 (neg.f64 (neg.f64 J)) #s(literal -2 binary64)))
(fma.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J (*.f64 J #s(literal -2 binary64)))
(fma.f64 (.f64 K K) (.f64 #s(literal 1/4 binary64) J) (*.f64 (neg.f64 (neg.f64 J)) #s(literal -2 binary64)))
(fma.f64 (.f64 K K) (.f64 #s(literal 1/4 binary64) J) (*.f64 J #s(literal -2 binary64)))
(fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 K K) J) (*.f64 (neg.f64 (neg.f64 J)) #s(literal -2 binary64)))
(fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 K K) J) (*.f64 J #s(literal -2 binary64)))
(fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (neg.f64 J)) #s(literal -2 binary64)))
(fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (*.f64 J #s(literal -2 binary64)))
(fma.f64 J #s(literal -2 binary64) (.f64 (.f64 (*.f64 K K) #s(literal 1/4 binary64)) J))
(fma.f64 #s(literal -2 binary64) J (.f64 (.f64 (*.f64 K K) #s(literal 1/4 binary64)) J))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J) #s(literal 2 binary64)) (.f64 J (-.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) #s(literal -2 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (.f64 J (-.f64 (.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal -2 binary64)))))
(-.f64 (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J) (.f64 J #s(literal 2 binary64)))
(-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (neg.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64))) J))
(-.f64 (.f64 J #s(literal -2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J)))
(-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (neg.f64 J) (.f64 (.f64 K K) #s(literal 1/4 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 K K) J) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 J #s(literal -2 binary64)) (-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J))))) (/.f64 (pow.f64 (.f64 J #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 K K) J) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 J #s(literal -2 binary64)) (-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J))))))
(+.f64 (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J) (.f64 (neg.f64 (neg.f64 J)) #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J) (.f64 J #s(literal -2 binary64)))
(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J))
(.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(approx (* (* -2 J) (cos (/ K 2))) (.f64 J (fma.f64 (.f64 #s(literal 1/4 binary64) K) K #s(literal -2 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J (fma.f64 (.f64 #s(literal 1/4 binary64) K) K #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* -2 J) (cos (/ K 2))) (.f64 J (fma.f64 (.f64 #s(literal 1/4 binary64) K) K #s(literal -2 binary64))))
(.f64 (.f64 #s(literal 1/4 binary64) (neg.f64 K)) (neg.f64 K))
(.f64 (.f64 #s(literal 1/4 binary64) K) K)
(.f64 (neg.f64 K) (.f64 (neg.f64 K) #s(literal 1/4 binary64)))
(.f64 (.f64 K K) #s(literal 1/4 binary64))
(.f64 #s(literal 1/4 binary64) (.f64 K K))
(.f64 K (.f64 #s(literal 1/4 binary64) K))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J)
(.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 #s(literal -2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 0 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))
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(exp.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(+.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (PI.f64))) (.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64))) (sin.f64 (PI.f64))))
(+.f64 (cosh.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) (sinh.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(+.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(+.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(+.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))
(.f64 (neg.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))) (neg.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))))
(.f64 (fabs.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))) (fabs.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))))
(.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 (exp.f64 (log1p.f64 (.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)) (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 (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)) #s(literal 2 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 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 (/.f64 (.f64 U U) J) J) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 (/.f64 (.f64 U U) J) J) #s(literal 2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 U U) J) J) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 (/.f64 (.f64 U U) J) J) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J))))))
(/.f64 (sinh.f64 (acosh.f64 (.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J)))) (sqrt.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 U U) J) J) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (.f64 (.f64 U U) #s(literal 1/4 binary64))) (.f64 J J)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 U U) J) J) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 (/.f64 (.f64 U U) J) J) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J)))))
(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 (cosh.f64 (.f64 (log1p.f64 (.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log1p.f64 (.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 U J) U)
(*.f64 (neg.f64 U) (/.f64 (neg.f64 U) J))
(*.f64 U (/.f64 U J))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) J))
(/.f64 (*.f64 (neg.f64 U) U) (neg.f64 J))
(/.f64 (*.f64 U U) (neg.f64 (neg.f64 J)))
(/.f64 (*.f64 U U) J)
(neg.f64 (/.f64 (*.f64 (neg.f64 U) U) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))

eval190.0ms (2%)

Memory: 18.1MiB live, 199.1MiB allocated; 36ms collecting garbage
Compiler: Compiled 48 590 to 3 733 computations (92.3% saved)

prune90.0ms (0.9%)

Memory

-11.2MiB live, 82.0MiB allocated; 7ms collecting garbage

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	862	9	871
Fresh	3	6	9
Picked	4	1	5
Done	1	1	2
Total	870	17	887

Accuracy

100.0%

Counts

887 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.1%	(.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 (pow (cos (/ K -2)) 2) (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)))
	51.1%	(.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (/.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)))
	55.2%	(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 K #s(literal -2 binary64)))))) (/.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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	43.2%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	25.8%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 J (.f64 #s(literal 1/4 binary64) K)) K (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	25.8%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J (fma.f64 (.f64 #s(literal 1/4 binary64) K) K #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	8.4%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* 1/4 (* K K)) J) (* J -2)) (.f64 (.f64 (fma.f64 (/.f64 J (.f64 K K)) #s(literal -2 binary64) (.f64 #s(literal 1/4 binary64) J)) K) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	2.7%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* 1/4 (* K K)) J) (* J -2)) (.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	15.2%	#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 U) (sqrt.f64 U)))
	9.3%	#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt.f64 (*.f64 U U)))
	15.3%	#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
✓	39.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	40.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 J U) J) #s(literal -2 binary64)) U)))
	38.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)))
	26.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 J #s(literal -2 binary64)))))
	30.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)))
✓	51.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))

Compiler

Compiled 3 123 to 852 computations (72.7% saved)

regimes115.0ms (1.2%)

Memory

29.9MiB live, 132.6MiB allocated; 6ms collecting garbage

Counts

46 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt.f64 (*.f64 U U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* 1/4 (* K K)) J) (* J -2)) (.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J (fma.f64 (.f64 #s(literal 1/4 binary64) K) K #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 J U) J) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 U) (sqrt.f64 U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.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 ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 J (.f64 #s(literal 1/4 binary64) K)) K (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)) U)) (neg.f64 U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* 1/4 (* K K)) J) (* J -2)) (.f64 (.f64 (fma.f64 (/.f64 J (.f64 K K)) #s(literal -2 binary64) (.f64 #s(literal 1/4 binary64) J)) K) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (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)))
(.f64 #s(approx ( (* -2 J) (cos (/ 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 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 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) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 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))) #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) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.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 (.f64 (.f64 J J) #s(literal -2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (.f64 U 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)))) (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)))))
(.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 #s(approx (/ U ( (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)))
(.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 #s(literal -1/2 binary64) (/.f64 U J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) #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)))))
(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 K #s(literal -2 binary64)))))) (/.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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (/.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)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (asin.f64 (sin.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)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (acos.f64 (sin.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)))))
(.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 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (/.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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #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 (pow (cos (/ K -2)) 2) (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 J #s(literal -2 binary64))) (/.f64 #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 (/.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 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fma.f64 J J #s(literal 0 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (sqrt.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 K #s(literal -2 binary64)))) (cos.f64 (/.f64 (-.f64 K K) #s(literal 2 binary64))))) (sqrt.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)))))
(.f64 (.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 6 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 4 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 (.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (cos.f64 (/.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (cos.f64 (/.f64 (.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (sin.f64 (/.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Outputs

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

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

#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Calls

6 calls:

47.0ms	K
18.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
12.0ms	(/.f64 K #s(literal 2 binary64))
12.0ms	J
12.0ms	U

Results

Accuracy	Segments	Branch
73.0%	1	`(/.f64 K #s(literal 2 binary64))`
73.0%	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)))))`
79.9%	2	`J`
73.0%	1	`K`
79.8%	2	`U`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes30.0ms (0.3%)

Memory

-36.0MiB live, 11.0MiB allocated; 2ms collecting garbage

Counts

36 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt.f64 (*.f64 U U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* 1/4 (* K K)) J) (* J -2)) (.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J (fma.f64 (.f64 #s(literal 1/4 binary64) K) K #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 J U) J) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 U) (sqrt.f64 U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.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 ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 J (.f64 #s(literal 1/4 binary64) K)) K (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)) U)) (neg.f64 U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* 1/4 (* K K)) J) (* J -2)) (.f64 (.f64 (fma.f64 (/.f64 J (.f64 K K)) #s(literal -2 binary64) (.f64 #s(literal 1/4 binary64) J)) K) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (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)))
(.f64 #s(approx ( (* -2 J) (cos (/ 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 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 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) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 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))) #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) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.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 (.f64 (.f64 J J) #s(literal -2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (.f64 U 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)))) (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)))))
(.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 #s(approx (/ U ( (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)))
(.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 #s(literal -1/2 binary64) (/.f64 U J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) #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)))))
(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 K #s(literal -2 binary64)))))) (/.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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (/.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)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (asin.f64 (sin.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)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (acos.f64 (sin.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)))))

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 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))

#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
91.2%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

27 → 4

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt.f64 (*.f64 U U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* 1/4 (* K K)) J) (* J -2)) (.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J (fma.f64 (.f64 #s(literal 1/4 binary64) K) K #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 J U) J) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 U) (sqrt.f64 U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.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 ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 J (.f64 #s(literal 1/4 binary64) K)) K (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)) U)) (neg.f64 U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* 1/4 (* K K)) J) (* J -2)) (.f64 (.f64 (fma.f64 (/.f64 J (.f64 K K)) #s(literal -2 binary64) (.f64 #s(literal 1/4 binary64) J)) K) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (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)))
(.f64 #s(approx ( (* -2 J) (cos (/ 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 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 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) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 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))) #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) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.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 (.f64 (.f64 J J) #s(literal -2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (.f64 U 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)))) (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)))))

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) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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
87.3%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

21 → 5

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt.f64 (*.f64 U U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* 1/4 (* K K)) J) (* J -2)) (.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J (fma.f64 (.f64 #s(literal 1/4 binary64) K) K #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 J U) J) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 U) (sqrt.f64 U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.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 ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 J (.f64 #s(literal 1/4 binary64) K)) K (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)) U)) (neg.f64 U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* 1/4 (* K K)) J) (* J -2)) (.f64 (.f64 (fma.f64 (/.f64 J (.f64 K K)) #s(literal -2 binary64) (.f64 #s(literal 1/4 binary64) J)) K) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (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)))
(.f64 #s(approx ( (* -2 J) (cos (/ 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 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 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) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 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))) #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) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
85.7%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes32.0ms (0.3%)

Memory

29.8MiB live, 29.8MiB allocated; 0ms collecting garbage

Counts

18 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt.f64 (*.f64 U U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* 1/4 (* K K)) J) (* J -2)) (.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J (fma.f64 (.f64 #s(literal 1/4 binary64) K) K #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 J U) J) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 U) (sqrt.f64 U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.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 ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 J (.f64 #s(literal 1/4 binary64) K)) K (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)) U)) (neg.f64 U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* 1/4 (* K K)) J) (* J -2)) (.f64 (.f64 (fma.f64 (/.f64 J (.f64 K K)) #s(literal -2 binary64) (.f64 #s(literal 1/4 binary64) J)) K) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (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)))
(.f64 #s(approx ( (* -2 J) (cos (/ 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 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))))

Outputs

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

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

Calls

6 calls:

5.0ms	U
5.0ms	J
5.0ms	(/.f64 K #s(literal 2 binary64))
5.0ms	K
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
56.6%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
52.3%	5	`(/.f64 K #s(literal 2 binary64))`
52.3%	5	`K`
53.5%	2	`U`
52.4%	2	`J`
71.2%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes22.0ms (0.2%)

Memory

-41.4MiB live, 5.5MiB allocated; 1ms collecting garbage

Counts

15 → 4

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt.f64 (*.f64 U U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* 1/4 (* K K)) J) (* J -2)) (.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J (fma.f64 (.f64 #s(literal 1/4 binary64) K) K #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 J U) J) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 U) (sqrt.f64 U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.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 ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 J (.f64 #s(literal 1/4 binary64) K)) K (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)) U)) (neg.f64 U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* 1/4 (* K K)) J) (* J -2)) (.f64 (.f64 (fma.f64 (/.f64 J (.f64 K K)) #s(literal -2 binary64) (.f64 #s(literal 1/4 binary64) J)) K) K))) #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)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 J U) J) #s(literal -2 binary64)) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 J (.f64 #s(literal 1/4 binary64) K)) K (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 J U) J) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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
64.2%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Counts

11 → 4

Calls

Call 1

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

Calls

1 calls:

3.0ms

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

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Counts

7 → 4

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
63.8%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Counts

6 → 4

Calls

Call 1

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
63.7%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

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

Calls

3 calls:

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
39.5%	1	`U`
53.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
53.4%	2	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 29 to 26 computations (10.3% saved)

regimes7.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB 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) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Outputs

#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Calls

6 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	J
1.0ms	U

Results

Accuracy	Segments	Branch
15.3%	1	`U`
15.3%	1	`(/.f64 K #s(literal 2 binary64))`
15.3%	1	`K`
15.3%	1	`J`
15.3%	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)))))`
15.3%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.2124360975800046e+290	2.3983616417854832e+300
0.0ms	-inf	-5.174761311109726e+304

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.5337231297890925e+217	4.601808951588435e+262
0.0ms	-inf	-5.174761311109726e+304

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.5337231297890925e+217	4.601808951588435e+262
0.0ms	-3.856935855829716e+165	-2.9773734879192285e+161
0.0ms	-inf	-5.174761311109726e+304

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	3.5337231297890925e+217	4.601808951588435e+262
0.0ms	-4.1761971811184695e-114	-4.162977704122975e-118
0.0ms	-3.531179554716192e+141	-1.0467805011643513e+141
0.0ms	-inf	-5.174761311109726e+304

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.0117323039018057e-224	5.754884070525161e-279
0.0ms	-inf	-5.174761311109726e+304

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-1.0117323039018057e-224	5.754884070525161e-279
0.0ms	-4.45834616341734e+102	-1.1540919626427463e+98
0.0ms	-2.4646337707368357e+269	-2.189659704075815e+267

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-1.0117323039018057e-224	5.754884070525161e-279
0.0ms	-4.45834616341734e+102	-1.1540919626427463e+98
0.0ms	-2.4646337707368357e+269	-2.189659704075815e+267

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-1.0117323039018057e-224	5.754884070525161e-279
0.0ms	-4.45834616341734e+102	-1.1540919626427463e+98
0.0ms	-2.4646337707368357e+269	-2.189659704075815e+267

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-1.0117323039018057e-224	5.754884070525161e-279
0.0ms	-4.45834616341734e+102	-1.1540919626427463e+98
0.0ms	-2.4646337707368357e+269	-2.189659704075815e+267

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.04235883884143145	0.03245388870279662

Compiler

Compiled 24 to 24 computations (0% saved)

simplify107.0ms (1.1%)

Memory

-11.2MiB live, 37.6MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	157	2190
1	290	2124
2	777	2080
3	2555	1948
4	7484	1948

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 400000000000000024691133411146862754797748924385204503324021140215525350615868623577015668377785918677724183380596504524138363141735824686952846141467948914217036408436647528744538972135255014509093543840985108979979385031561392123261604496946816807648530303327405220144355803684530406031360 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))))) #s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 50000000000000004132879417062936895217063238213272217535230318905780812800051237605444280415200276002155244471467927656886816102145947884815870522246195619325092973580107907473928777343955468706416564163683370758307840 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 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(approx ( (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 -1999999999999999798979786903666969854466916799481080840673902677711040714250088565232575140693526241793157170355409742782458394948128134392996529547214203115089690624 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 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 50000000000000004132879417062936895217063238213272217535230318905780812800051237605444280415200276002155244471467927656886816102145947884815870522246195619325092973580107907473928777343955468706416564163683370758307840 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) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U))))
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Outputs
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(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (/ (+ (pow (* 0 (sin (/ K 2))) 3) (pow (* 1 (cos (/ K -2))) 3)) (+ (* (* 0 (sin (/ K 2))) (* 0 (sin (/ K 2)))) (- (* (* 1 (cos (/ K -2))) (* 1 (cos (/ K -2)))) (* (* 0 (sin (/ K 2))) (* 1 (cos (/ K -2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

derivations1.7s (17.3%)

Memory

-118.1MiB live, 1 094.3MiB allocated; 1.2s collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	80	439
0	109	392
1	462	340
2	2931	340
0	10062	335
0	622	4145
1	2248	3968
0	9089	3771
0	389	2597
1	1424	2469
2	6719	2463
0	8635	2325
0	90	523
0	132	477
1	533	425
2	3601	405
0	8426	401
0	17	76
0	28	76
1	80	70
2	409	70
3	5573	70
0	8533	70

Stop Event

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

Compiler

Compiled 2 553 to 160 computations (93.7% saved)

preprocess161.0ms (1.7%)

Memory: 13.2MiB live, 247.7MiB allocated; 35ms collecting garbage
Remove: (abs K)
Compiler: Compiled 7 014 to 934 computations (86.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze527.0ms (5.4%)

sample1.9s (20.1%)

explain290.0ms (3%)

preprocess193.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify119.0ms (1.2%)

localize55.0ms (0.6%)

series46.0ms (0.5%)

simplify194.0ms (2%)

rewrite204.0ms (2.1%)

eval129.0ms (1.3%)

prune18.0ms (0.2%)

simplify103.0ms (1.1%)

localize172.0ms (1.8%)

series59.0ms (0.6%)

simplify203.0ms (2.1%)

rewrite331.0ms (3.4%)

eval215.0ms (2.2%)

prune63.0ms (0.6%)

simplify158.0ms (1.6%)

localize293.0ms (3%)

series91.0ms (0.9%)

simplify213.0ms (2.2%)

rewrite180.0ms (1.9%)

eval170.0ms (1.8%)

prune72.0ms (0.7%)

simplify172.0ms (1.8%)

localize335.0ms (3.5%)

series94.0ms (1%)

simplify319.0ms (3.3%)

rewrite261.0ms (2.7%)

eval190.0ms (2%)

prune90.0ms (0.9%)

regimes115.0ms (1.2%)

regimes30.0ms (0.3%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes32.0ms (0.3%)

regimes22.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify107.0ms (1.1%)

derivations1.7s (17.3%)

preprocess161.0ms (1.7%)

end0.0ms (0%)

Profiling