Metrics for Maksimov and Kolovsky, Equation (3)

start0.0ms (0%)

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

analyze318.0ms (7.3%)

Memory

2.4MiB live, 475.8MiB allocated; 107ms 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)

sample1.3s (30.4%)

Memory

41.8MiB live, 1 429.0MiB allocated; 377ms collecting garbage

Samples

999.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 666.0ms

ival-mult!: 191.0ms (28.7% of total)

ival-cos: 182.0ms (27.3% of total)

ival-div!: 130.0ms (19.5% of total)

ival-pow2: 81.0ms (12.2% of total)

ival-sqrt: 61.0ms (9.2% of total)

ival-add!: 20.0ms (3% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

preprocess61.0ms (1.4%)

Memory

-6.2MiB live, 39.6MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	246
1	235	210
2	996	210
3	7405	210

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.4%	(.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)))))

Status

Accuracy

Program

▶

71.4%

(*.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)))))

Symmetry

(abs K)

(abs U)

(negabs J)

Compiler

Compiled 44 to 34 computations (22.7% saved)

series57.0ms (1.3%)

Memory

30.3MiB live, 79.7MiB allocated; 12ms collecting garbage

Counts

17 → 88

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
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx J #s(hole binary64 J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (pow J 2)) (pow J 2))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (* 2 (* J (cos (* 1/2 K))))))
#s(approx (* 2 J) #s(hole binary64 (* 2 J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole 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))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole 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)))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 J)))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 1))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (/ K 2) #s(hole binary64 (* 1/2 K)))
#s(approx K #s(hole binary64 K))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 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)))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 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)))))))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (* 2 J)))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -1/4 (* J (pow K 2))) (* 2 J))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole 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)))))))))
#s(approx U #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 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))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1 (pow U 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -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
16.0ms	K	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J))
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) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J))
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) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J))
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) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J))
4.0ms	K	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J))

rewrite196.0ms (4.5%)

Memory

-5.3MiB live, 235.3MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	525	4670
0	543	4353
1	3077	4183
0	8611	4014

Stop Event

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

Counts

105 → 163

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)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx J #s(hole binary64 J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (pow J 2)) (pow J 2))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (* 2 (* J (cos (* 1/2 K))))))
#s(approx (* 2 J) #s(hole binary64 (* 2 J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole 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))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole 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)))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 J)))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 1))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (/ K 2) #s(hole binary64 (* 1/2 K)))
#s(approx K #s(hole binary64 K))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 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)))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 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)))))))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (* 2 J)))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -1/4 (* J (pow K 2))) (* 2 J))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole 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)))))))))
#s(approx U #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 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))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1 (pow U 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -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
(.f64 (cosh.f64 (asinh.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64))) (cosh.f64 (asinh.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(.f64 (.f64 J #s(literal -2 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sin.f64 (+.f64 (neg.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (/.f64 K #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(+.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 K)) #s(literal 2 binary64))
(/.f64 (neg.f64 K) #s(literal -2 binary64))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(pow.f64 (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))))
(fma.f64 (fabs.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (fabs.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (neg.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (exp.f64 (log.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) #s(literal 1 binary64))
(fma.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64))
(+.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J 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 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(.f64 (fabs.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (fabs.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(.f64 (neg.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (neg.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(.f64 (exp.f64 (log.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (exp.f64 (log.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (log.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 U (+.f64 J J)) (/.f64 U (+.f64 J J))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (.f64 (/.f64 U (+.f64 J J)) (neg.f64 U)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 (.f64 (/.f64 U (+.f64 J J)) U) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (.f64 (neg.f64 U) (/.f64 U (+.f64 J J))) (.f64 (neg.f64 (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (.f64 (neg.f64 U) U) (.f64 (neg.f64 (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (.f64 U (/.f64 U (+.f64 J J))) (.f64 (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (.f64 U (neg.f64 U)) (.f64 (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (neg.f64 (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 (.f64 U U) (.f64 (neg.f64 (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (neg.f64 (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 (.f64 U U) (.f64 (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 2 binary64))))
(pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 U (+.f64 J J))) (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 U)) (neg.f64 (neg.f64 (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 (/.f64 U (+.f64 J J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 U (.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 1 binary64)))
U
(*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (+.f64 J J))
(.f64 #s(literal 2 binary64) (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) J)
(*.f64 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)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 (+.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))))) U)) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (/.f64 (+.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))))) U) #s(literal -2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (.f64 J J))) (.f64 (.f64 U U) U))) (.f64 J J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 J J) (exp.f64 (-.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (.f64 (log.f64 U) #s(literal 5 binary64))))) #s(literal -4 binary64) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (.f64 (.f64 U U) U)) #s(literal 2 binary64))) (.f64 J J) (.f64 (/.f64 (+.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))))) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U)))
#s(approx (* (* -2 J) (cos (/ K 2))) (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
#s(approx (* -2 J) (*.f64 J #s(literal -2 binary64)))
#s(approx J J)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 (/.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J)) U)) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 (/.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (neg.f64 (.f64 (.f64 J J) (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64))))) (*.f64 J J))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 J J) (exp.f64 (-.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64)) (.f64 (log.f64 U) #s(literal 5 binary64))))) #s(literal 2 binary64) (neg.f64 (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64)))) (.f64 J J) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)) (.f64 J J) (.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1/2 binary64))) J))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (.f64 (/.f64 (.f64 U U) (.f64 (+.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 J J))) #s(literal 1/4 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (/.f64 (.f64 (/.f64 (.f64 U U) (+.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)))))) #s(literal 1/4 binary64)) (.f64 J J)) #s(literal 1 binary64)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (/.f64 (.f64 U U) (.f64 (+.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 J J))) #s(literal 1/4 binary64)))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (.f64 (+.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
#s(approx (* 2 J) (+.f64 J J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J))) #s(literal -1/4 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 (.f64 J J) (.f64 J J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) #s(literal 1/64 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal -1/4 binary64)))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U)) (exp.f64 (fma.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64) (.f64 (log.f64 J) #s(literal 6 binary64))))) #s(literal -1/512 binary64) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (.f64 (.f64 J J) (.f64 J J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 (+.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 J J))) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 U U) (.f64 U U)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (+.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 J J))) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64))) #s(literal 1/1024 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (+.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 J J))) #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (.f64 U U) (.f64 (+.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 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 (.f64 J J) (.f64 J J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 (.f64 J J) (.f64 J J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U)) (exp.f64 (fma.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64) (.f64 (log.f64 J) #s(literal 6 binary64))))) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J (.f64 (fma.f64 (/.f64 (.f64 #s(literal 1 binary64) (.f64 U U)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J)) #s(literal 1/32 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -1/8 binary64))) (.f64 K K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal -1/256 binary64) (/.f64 (.f64 #s(literal 1 binary64) (.f64 U U)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (.f64 J J) (.f64 J J)))))) J) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal 1/384 binary64)))) (.f64 K K) (fma.f64 (/.f64 (.f64 #s(literal 1 binary64) (.f64 U U)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J)) #s(literal 1/32 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -1/8 binary64))))) (.f64 K K) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))))
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#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (.f64 K K) (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 J #s(literal -2 binary64))))
#s(approx (cos (/ K 2)) #s(literal 1 binary64))
#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 K U) (.f64 K U)) #s(literal 1 binary64)) (.f64 (.f64 J J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/32 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (.f64 (.f64 K K) (.f64 (fma.f64 (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (.f64 J J) (.f64 J J)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 #s(literal 1 binary64) (.f64 U U)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 J J))) #s(literal 1/32 binary64))) (.f64 K K) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (.f64 J J) (.f64 J J)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (/.f64 (.f64 U U) (.f64 J J)) (fma.f64 (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/192 binary64) (.f64 U U)) (.f64 J J)))) #s(literal -1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 (.f64 U U) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (.f64 J J) (.f64 J J)))))) (.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 J J)))))) (.f64 K K)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))))) (.f64 K K) (.f64 (/.f64 (.f64 #s(literal 1 binary64) (.f64 U U)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 J J))) #s(literal 1/32 binary64))) (.f64 K K) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 K K) (/.f64 (.f64 U U) (.f64 J J))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (*.f64 J J))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 K K)) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/24 binary64)) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 U U)) (.f64 J J))) (.f64 K K) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (/.f64 (.f64 U U) (.f64 J J)) (fma.f64 (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/192 binary64) (.f64 U U)) (.f64 J J)))) (.f64 K K) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/24 binary64)))) (.f64 K K) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 U U)) (.f64 J J))) (.f64 K K) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (*.f64 J J))) #s(literal 1 binary64)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (*.f64 J J)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 K K) (/.f64 (.f64 U U) (.f64 J J))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (*.f64 J J))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 K K)) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/24 binary64)) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 U U)) (.f64 J J))) (.f64 K K) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (/.f64 (.f64 U U) (.f64 J J)) (fma.f64 (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/192 binary64) (.f64 U U)) (.f64 J J)))) (.f64 K K) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/24 binary64)))) (.f64 K K) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 U U)) (.f64 J J))) (.f64 K K) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (*.f64 J J))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 (/.f64 (.f64 (.f64 K K) U) J) #s(literal 1/16 binary64) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 K K)) (.f64 (/.f64 U J) #s(literal -5/384 binary64)) (.f64 (/.f64 U J) #s(literal 1/16 binary64))) (.f64 K K) (.f64 (/.f64 U J) #s(literal 1/2 binary64))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 U J) #s(literal -1/46080 binary64) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (.f64 (.f64 (/.f64 U J) #s(literal -5/384 binary64)) #s(literal 1/8 binary64)))) (.f64 K K) (.f64 (/.f64 U J) #s(literal -5/384 binary64)))) (.f64 K K) (.f64 (/.f64 U J) #s(literal 1/16 binary64))) (*.f64 K K))))
#s(approx (* (* 2 J) (cos (/ K 2))) (+.f64 J J))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/192 binary64) (.f64 #s(literal -1/4 binary64) J)) (+.f64 J J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (.f64 K K) (fma.f64 #s(literal -1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal 1/192 binary64) J)) (.f64 #s(literal -1/4 binary64) J)) (.f64 K K) (+.f64 J J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (+.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 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (+.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 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) 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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 U U)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 (.f64 #s(literal -1/512 binary64) (.f64 U U)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)))) (.f64 U U)) (/.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (.f64 U U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 U U) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (+.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 J J)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1024 binary64) (/.f64 (.f64 U U) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64))) (.f64 #s(literal -1/128 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -4 binary64)))) (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 (+.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 J J)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx U U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (.f64 (.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U))) (fma.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64) (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64)))) #s(literal 1 binary64)) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (fma.f64 J (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (.f64 (.f64 U U) (.f64 U U)))) (fma.f64 J (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)) (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U))) #s(literal 2 binary64) (fma.f64 J (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (.f64 (.f64 U U) (*.f64 U U))))) U))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (+.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 J J))) (.f64 U U) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (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)))) (.f64 (neg.f64 U) (-.f64 (.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (.f64 (.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U))) (fma.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64) (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (neg.f64 U) (fma.f64 J (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (neg.f64 U) (+.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (.f64 (.f64 U U) (.f64 U U)))) (fma.f64 J (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (neg.f64 U) (+.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)) (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U))) #s(literal 2 binary64) (fma.f64 J (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (.f64 (.f64 U U) (*.f64 U U)))))))

eval21.0ms (0.5%)

Memory: -5.1MiB live, 39.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 3 378 to 957 computations (71.7% saved)

prune7.0ms (0.2%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	147	6	153
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	148	6	154

Accuracy

99.9%

Counts

154 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
	47.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
▶	30.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
▶	48.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
▶	46.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
▶	10.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Compiler

Compiled 306 to 272 computations (11.1% saved)

series47.0ms (1.1%)

Memory

6.9MiB live, 53.3MiB allocated; 2ms collecting garbage

Counts

34 → 171

Calls

Call 1

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

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (* J (cos (* 1/2 K)))))
#s(approx J #s(hole binary64 J))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 U)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* 1/2 U)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (/ (pow J 2) U))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(hole binary64 (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))))
#s(approx (/ (* U U) (* J J)) #s(hole binary64 (/ (pow U 2) (pow J 2))))
#s(approx (* J J) #s(hole binary64 (pow J 2)))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (pow J 2)) (pow J 2))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (* 2 (* J (cos (* 1/2 K))))))
#s(approx (* 2 J) #s(hole binary64 (* 2 J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -2 J)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 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)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole 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))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole 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)))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* J (- (* -1/8 (/ (pow U 2) (pow J 2))) 1)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (pow J 2))) (* 1/128 (/ (pow U 4) (pow J 4)))) 1)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (pow J 2))) (+ (* -1/1024 (/ (pow U 6) (pow J 6))) (* 1/128 (/ (pow U 4) (pow J 4))))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (* -2 J)))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 J))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* -1/8 (* J (pow K 2))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 1))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (* 1/2 K) #s(hole binary64 (* 1/2 K)))
#s(approx K #s(hole binary64 K))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 J)))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 1))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 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)))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 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)))))))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (* 2 J)))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -1/4 (* J (pow K 2))) (* 2 J))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (cos (/ K 2)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx U #s(hole binary64 U))
#s(approx (neg U) #s(hole binary64 (* -1 U)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* 1/8 (/ (pow U 2) J)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 3))) (* 1/8 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 5))) (* 1/128 (/ 1 (pow J 3))))) (* 1/8 (/ 1 J)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole 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))))))))
#s(approx (* U U) #s(hole binary64 (pow U 2)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole 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)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (/ (pow J 2) (pow U 2))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 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))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1 (pow U 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1/2 U)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))))

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	U	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U (* (* (* -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)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -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))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) 2)
6.0ms	J	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U (* (* (* -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)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -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))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) 2)
5.0ms	J	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U (* (* (* -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)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -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))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) 2)
4.0ms	J	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U (* (* (* -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)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -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))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) 2)
4.0ms	U	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U (* (* (* -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)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -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))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) 2)

rewrite247.0ms (5.7%)

Memory

-16.5MiB live, 263.5MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	839	7331
0	866	6900
1	4868	6362
0	8255	6163

Stop Event

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

Counts

205 → 298

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
(.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)) J)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
J
#s(literal -2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
U
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J)
(sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(/.f64 (.f64 U U) (.f64 J J))
(*.f64 U U)
(*.f64 J J)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) J)
#s(approx (cos (/ K 2)) #s(literal 1 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (* J (cos (* 1/2 K)))))
#s(approx J #s(hole binary64 J))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 U)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* 1/2 U)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (/ (pow J 2) U))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(hole binary64 (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))))
#s(approx (/ (* U U) (* J J)) #s(hole binary64 (/ (pow U 2) (pow J 2))))
#s(approx (* J J) #s(hole binary64 (pow J 2)))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (pow J 2)) (pow J 2))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (* 2 (* J (cos (* 1/2 K))))))
#s(approx (* 2 J) #s(hole binary64 (* 2 J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -2 J)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 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)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole 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))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole 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)))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* J (- (* -1/8 (/ (pow U 2) (pow J 2))) 1)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (pow J 2))) (* 1/128 (/ (pow U 4) (pow J 4)))) 1)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (pow J 2))) (+ (* -1/1024 (/ (pow U 6) (pow J 6))) (* 1/128 (/ (pow U 4) (pow J 4))))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (* -2 J)))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 J))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* -1/8 (* J (pow K 2))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 1))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (* 1/2 K) #s(hole binary64 (* 1/2 K)))
#s(approx K #s(hole binary64 K))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 J)))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 1))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 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)))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 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)))))))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (* 2 J)))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -1/4 (* J (pow K 2))) (* 2 J))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (cos (/ K 2)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx U #s(hole binary64 U))
#s(approx (neg U) #s(hole binary64 (* -1 U)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* 1/8 (/ (pow U 2) J)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 3))) (* 1/8 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 5))) (* 1/128 (/ 1 (pow J 3))))) (* 1/8 (/ 1 J)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole 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))))))))
#s(approx (* U U) #s(hole binary64 (pow U 2)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole 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)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (/ (pow J 2) (pow U 2))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 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))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1 (pow U 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1/2 U)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -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
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
(.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 #s(literal -2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)))
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
J
#s(literal -2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
U
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 #s(literal -1 binary64) U)
(*.f64 U #s(literal -1 binary64))
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J))
(.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J)
(.f64 J (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64)) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64)) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64)) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64)) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 U U) #s(literal 1/4 binary64) (.f64 J J))) (neg.f64 (*.f64 J J)))
(/.f64 (fma.f64 (.f64 U U) #s(literal 1/4 binary64) (.f64 J J)) (*.f64 J J))
(fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 U (/.f64 U (*.f64 J J)))))
(+.f64 (.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 U J) (/.f64 U J))
(.f64 U (/.f64 U (.f64 J J)))
(pow.f64 (/.f64 U J) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 U U)) (neg.f64 (.f64 J J)))
(/.f64 (/.f64 (*.f64 U U) J) J)
(/.f64 (.f64 U U) (.f64 J J))
(exp.f64 (-.f64 (.f64 (log.f64 U) #s(literal 2 binary64)) (.f64 (log.f64 J) #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 U)) (exp.f64 (log.f64 U)))
(*.f64 (fabs.f64 U) (fabs.f64 U))
(*.f64 (neg.f64 U) (neg.f64 U))
(*.f64 U U)
(pow.f64 (exp.f64 (log.f64 U)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 U) #s(literal 2 binary64))
(pow.f64 (*.f64 U U) #s(literal 1 binary64))
(pow.f64 (neg.f64 U) #s(literal 2 binary64))
(pow.f64 U #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 U U)))
(exp.f64 (*.f64 (log.f64 U) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 U) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 U) #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 J)) (exp.f64 (log.f64 J)))
(*.f64 (fabs.f64 J) (fabs.f64 J))
(*.f64 (neg.f64 J) (neg.f64 J))
(*.f64 J J)
(pow.f64 (exp.f64 (log.f64 J)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 J) #s(literal 2 binary64))
(pow.f64 (neg.f64 J) #s(literal 2 binary64))
(pow.f64 (*.f64 J J) #s(literal 1 binary64))
(pow.f64 J #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J J)))
(exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 J) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 J) #s(literal 2 binary64))))
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(.f64 (sqrt.f64 (fma.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) #s(literal 1 binary64))) (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (*.f64 J #s(literal -2 binary64))))
(.f64 (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) (/.f64 U (*.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) #s(literal 1 binary64))))
(.f64 (.f64 J #s(literal -2 binary64)) (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) (/.f64 U (*.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) #s(literal 1 binary64)))))
(.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))
(.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(approx (cos (/ K 2)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(cosh.f64 (asinh.f64 (/.f64 U (*.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J)))))
(sqrt.f64 (fma.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) (/.f64 U (*.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))))))))
(fma.f64 (exp.f64 (log.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))))) (exp.f64 (log.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))))) #s(literal 1 binary64))
(fma.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) #s(literal 1 binary64))
(+.f64 (.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) (/.f64 U (*.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) (/.f64 U (*.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J)))))
(.f64 (exp.f64 (log.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))))) (exp.f64 (log.f64 (/.f64 U (*.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))))))
(.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) (/.f64 U (*.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))))
(pow.f64 (exp.f64 (log.f64 (/.f64 U (*.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))))) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) (/.f64 U (*.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J)))) #s(literal 1 binary64))
(pow.f64 (/.f64 U (*.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J)))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J)))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J)))) #s(literal 2 binary64))))
(pow.f64 (/.f64 U (*.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) #s(literal 1 binary64))
(/.f64 (/.f64 U (+.f64 J J)) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))))
(/.f64 U (*.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J)))) #s(literal 1 binary64)))
(*.f64 #s(approx (cos (/ K 2)) #s(literal 1 binary64)) (+.f64 J J))
(*.f64 (+.f64 J J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
(+.f64 J J)
#s(literal 2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 (+.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))))) U)) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (/.f64 (+.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))))) U) #s(literal -2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (.f64 J J))) (.f64 (.f64 U U) U))) (.f64 J J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 J J) (exp.f64 (-.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (.f64 (log.f64 U) #s(literal 5 binary64))))) #s(literal -4 binary64) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (.f64 (.f64 U U) U)) #s(literal 2 binary64))) (.f64 J J) (.f64 (/.f64 (+.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))))) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U)))
#s(approx (* (* (cos (* 1/2 K)) J) -2) (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
#s(approx (* (cos (* 1/2 K)) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))
#s(approx J J)
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (neg.f64 U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) (.f64 (.f64 U U) U)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J) (neg.f64 U)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 J J) (pow.f64 U #s(literal 5 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 U U) U))) (.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (.f64 J J) (neg.f64 U)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal 1/2 binary64) U))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 (.f64 U U) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J) #s(literal 1/32 binary64))) (*.f64 K K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/256 binary64) (/.f64 (.f64 U U) J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (.f64 J J) (.f64 J J)))))) J) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal 1/384 binary64)))) (.f64 K K) (fma.f64 (.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 (.f64 U U) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J) #s(literal 1/32 binary64))))) (.f64 K K) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 (fma.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (.f64 J J) (.f64 J J)))))) J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal -1/46080 binary64) J) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 U (/.f64 U (.f64 J J))) (fma.f64 #s(literal 1/192 binary64) (.f64 U (/.f64 U (.f64 J J))) (.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)) #s(literal 1/4 binary64)))) #s(literal -1/4 binary64) (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (fma.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (.f64 J J) (.f64 J J)))))) (.f64 U U)) (.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 J J))))) J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (.f64 #s(literal 1/12288 binary64) (/.f64 (.f64 (.f64 U U) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J))))) (.f64 K K) (fma.f64 (.f64 #s(literal -1/256 binary64) (/.f64 (.f64 U U) J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (.f64 J J) (.f64 J J)))))) J) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal 1/384 binary64)))))) (.f64 K K) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 (.f64 U U) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J) #s(literal 1/32 binary64))) #s(literal -2 binary64))) (.f64 K K) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 (.f64 K K) (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 (fma.f64 (.f64 K K) (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (cos (* 1/2 K)) J) J)
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (.f64 (.f64 K K) J) #s(literal -1/8 binary64) J))
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/384 binary64) (.f64 #s(literal -1/8 binary64) J)) (.f64 K K) J))
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 (.f64 K K) J) #s(literal -1/46080 binary64) (.f64 #s(literal 1/384 binary64) J)) (.f64 #s(literal -1/8 binary64) J)) (.f64 K K) J))
#s(approx (cos (* 1/2 K)) #s(literal 1 binary64))
#s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))
#s(approx (* 1/2 K) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (.f64 K K) (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 J #s(literal -2 binary64))))
#s(approx (cos (/ K 2)) #s(literal 1 binary64))
#s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (.f64 (.f64 (.f64 K K) (.f64 U (/.f64 U (.f64 J J)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/32 binary64) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 K K) (.f64 (fma.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (.f64 J J) (.f64 J J)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) (.f64 (.f64 #s(literal 1/32 binary64) (.f64 U (/.f64 U (.f64 J J)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) (.f64 K K) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (.f64 J J) (.f64 J J)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 U (/.f64 U (.f64 J J))) (fma.f64 #s(literal 1/192 binary64) (.f64 U (/.f64 U (.f64 J J))) (.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)) #s(literal 1/4 binary64)))) #s(literal -1/4 binary64) (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (fma.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (.f64 J J) (.f64 J J)))))) (.f64 U U)) (.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 J J))))) (.f64 K K)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))))) (.f64 K K) (.f64 (.f64 #s(literal 1/32 binary64) (.f64 U (/.f64 U (.f64 J J)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) (.f64 K K) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 K K) (.f64 U (/.f64 U (.f64 J J)))) (.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 K K)) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 U (/.f64 U (.f64 J J))))) (.f64 K K))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 U (/.f64 U (.f64 J J))) (fma.f64 #s(literal 1/192 binary64) (.f64 U (/.f64 U (.f64 J J))) (.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)) #s(literal 1/4 binary64)))) (.f64 K K) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)))) (.f64 K K) (.f64 #s(literal 1/16 binary64) (.f64 U (/.f64 U (.f64 J J))))) (.f64 K K) (.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 K K) (.f64 U (/.f64 U (.f64 J J)))) (.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 K K)) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 U (/.f64 U (.f64 J J))))) (.f64 K K) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 U (/.f64 U (.f64 J J))) (fma.f64 #s(literal 1/192 binary64) (.f64 U (/.f64 U (.f64 J J))) (.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)) #s(literal 1/4 binary64)))) (.f64 K K) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)))) (.f64 K K) (.f64 #s(literal 1/16 binary64) (.f64 U (/.f64 U (.f64 J J))))) (.f64 K K) (.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 (/.f64 (.f64 (.f64 K K) U) J) #s(literal 1/16 binary64) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 K K)) (.f64 (/.f64 U J) #s(literal -5/384 binary64)) (.f64 #s(literal 1/16 binary64) (/.f64 U J))) (.f64 K K) (.f64 (/.f64 U J) #s(literal 1/2 binary64))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (.f64 (.f64 (/.f64 U J) #s(literal -5/384 binary64)) #s(literal 1/8 binary64)))) (.f64 K K) (.f64 (/.f64 U J) #s(literal -5/384 binary64)))) (.f64 K K) (.f64 #s(literal 1/16 binary64) (/.f64 U J))) (*.f64 K K))))
#s(approx (* (* 2 J) (cos (/ K 2))) (+.f64 J J))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/192 binary64) (.f64 #s(literal -1/4 binary64) J)) (+.f64 J J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (.f64 K K) (fma.f64 #s(literal -1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal 1/192 binary64) J)) (.f64 #s(literal -1/4 binary64) J)) (.f64 K K) (+.f64 J J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (+.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 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (cos (* 1/2 K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (+.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 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) 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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 U U)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 (.f64 #s(literal -1/512 binary64) (.f64 U U)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)))) (.f64 U U)) (/.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (.f64 U U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx U U)
#s(approx (neg U) (neg.f64 U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 J #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 U U)) (.f64 (.f64 J J) J)) (/.f64 #s(literal 1/4 binary64) J)) (.f64 U U) (.f64 J #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 U U) (pow.f64 J #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 J J) J))) (.f64 U U)) (/.f64 #s(literal 1/4 binary64) J)) (.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) J)) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) J)) (.f64 U U) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/1024 binary64) (.f64 U U)) (pow.f64 J #s(literal 5 binary64))) (/.f64 #s(literal 1/128 binary64) (.f64 (.f64 J J) J))) (.f64 U U) (/.f64 #s(literal 1/8 binary64) J)) (.f64 U U) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) (.f64 J J))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 J J))) (.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 (.f64 U U) (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 J J) J))) #s(literal 1/1024 binary64)) (/.f64 #s(literal 1/128 binary64) (.f64 (.f64 J J) (.f64 J J)))) (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (* U U) (*.f64 U U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 U U) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (+.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 J J)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1024 binary64) (/.f64 (.f64 U U) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64))) (.f64 #s(literal -1/128 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -4 binary64)))) (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 (+.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 J J)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (.f64 (.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U))) (fma.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64) (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64)))) #s(literal 1 binary64)) U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (fma.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64))) U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (fma.f64 (pow.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64)))) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (+.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64)) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U)))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal 1/2 binary64)) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))))) (fma.f64 (pow.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 (.f64 J J) (*.f64 U U)))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 J J) J) (.f64 (.f64 U U) (.f64 U U)))) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (fma.f64 (exp.f64 (-.f64 (.f64 (log.f64 J) #s(literal 5 binary64)) (.f64 (log.f64 U) #s(literal 6 binary64)))) #s(literal 2 binary64) (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) (neg.f64 (/.f64 (.f64 (.f64 J J) J) (.f64 (.f64 U U) (*.f64 U U))))) U))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (fma.f64 J (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (.f64 (.f64 U U) (.f64 U U)))) (fma.f64 J (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)) (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U))) #s(literal 2 binary64) (fma.f64 J (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (.f64 (.f64 U U) (*.f64 U U))))) U))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (+.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 J J))) (.f64 U U) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (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)))) (.f64 (neg.f64 U) (-.f64 (.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (.f64 (.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U))) (fma.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64) (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) U)
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (neg.f64 U) (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (.f64 U U)) #s(literal 1 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (neg.f64 U) (fma.f64 (pow.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1/2 binary64) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (neg.f64 U) (+.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (neg.f64 U) (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U)))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal 1/2 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (neg.f64 U) (+.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))))) (fma.f64 (pow.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 (.f64 J J) (*.f64 U U))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (neg.f64 U) (+.f64 (neg.f64 (/.f64 (.f64 (.f64 J J) J) (.f64 (.f64 U U) (.f64 U U)))) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (neg.f64 U) (+.f64 (fma.f64 (exp.f64 (-.f64 (.f64 (log.f64 J) #s(literal 5 binary64)) (.f64 (log.f64 U) #s(literal 6 binary64)))) #s(literal 2 binary64) (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) (neg.f64 (/.f64 (.f64 (.f64 J J) J) (.f64 (.f64 U U) (*.f64 U U)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (neg.f64 U) (fma.f64 J (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (neg.f64 U) (+.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (.f64 (.f64 U U) (.f64 U U)))) (fma.f64 J (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (neg.f64 U) (+.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)) (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U))) #s(literal 2 binary64) (fma.f64 J (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (.f64 (.f64 U U) (*.f64 U U)))))))

eval41.0ms (0.9%)

Memory: -4.9MiB live, 84.6MiB allocated; 16ms collecting garbage
Compiler: Compiled 5 075 to 1 580 computations (68.9% saved)

prune16.0ms (0.4%)

Memory

35.3MiB live, 35.3MiB allocated; 0ms collecting garbage

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	260	14	274
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	263	17	280

Accuracy

99.9%

Counts

280 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64))) J) #s(literal -2 binary64)))
✓	48.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
	34.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) J) #s(literal -2 binary64)))
	32.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)) J) #s(literal -2 binary64)))
▶	8.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
	8.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) J) #s(literal -2 binary64)))
	26.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
	26.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
	26.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
	26.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx ( (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64) J)) #s(literal -2 binary64)))
▶	27.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx ( (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) J) #s(literal -2 binary64)))
	26.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx ( (cos (* 1/2 K)) J) (fma.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 (.f64 K K) J) #s(literal -1/46080 binary64) (.f64 #s(literal 1/384 binary64) J)) (.f64 #s(literal -1/8 binary64) J)) (.f64 K K) J)) #s(literal -2 binary64)))
✓	46.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
▶	43.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
▶	40.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (.f64 U U)) #s(literal 1 binary64)) U)))
	9.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (neg.f64 U) (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (.f64 U U)) #s(literal 1 binary64)))))
✓	10.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Compiler

Compiled 1 055 to 983 computations (6.8% saved)

series67.0ms (1.5%)

Memory

-28.6MiB live, 75.4MiB allocated; 16ms collecting garbage

Counts

38 → 155

Calls

Call 1

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

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) -2) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) #s(hole binary64 (* J (cos (* 1/2 K)))))
#s(approx J #s(hole binary64 J))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 U)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* 1/2 U)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (/ (pow J 2) U))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U))))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* -1 U)))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (- (* -2 (/ (pow J 2) U)) U)))
#s(approx (/ (* J J) U) #s(hole binary64 (/ (pow J 2) U)))
#s(approx (* J J) #s(hole binary64 (pow J 2)))
#s(approx (* (- (/ (* -2 (* J J)) (* U U)) 1) U) #s(hole binary64 (* -1 U)))
#s(approx (* (- (/ (* -2 (* J J)) (* U U)) 1) U) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) #s(hole binary64 -1))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) #s(hole binary64 (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
#s(approx (/ (* -2 (* J J)) (* U U)) #s(hole binary64 (* -2 (/ (pow J 2) (pow U 2)))))
#s(approx (* -2 (* J J)) #s(hole binary64 (* -2 (pow J 2))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (/ (+ (* -1 (/ (pow J 2) U)) (* -1/2 U)) J)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ 1/2 J)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ (+ 1/2 (/ (pow J 2) (pow U 2))) J)))
#s(approx (/ J (* U U)) #s(hole binary64 (/ J (pow U 2))))
#s(approx (/ 1/2 J) #s(hole binary64 (/ 1/2 J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -2 J)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 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)))))))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* -2 (/ (pow J 2) U))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))))
#s(approx (* (- (/ (* -2 (* J J)) (* U U)) 1) U) #s(hole binary64 (* -2 (/ (pow J 2) U))))
#s(approx (* (- (/ (* -2 (* J J)) (* U U)) 1) U) #s(hole binary64 (* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) #s(hole binary64 (* -2 (/ (pow J 2) (pow U 2)))))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) #s(hole binary64 (* -1 (* (pow J 2) (+ (* 2 (/ 1 (pow U 2))) (/ 1 (pow J 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* -1 (/ J U))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U)))))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ J (pow U 2))))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (* J (+ (* 1/2 (/ 1 (pow J 2))) (/ 1 (pow U 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* J (- (* -1/8 (/ (pow U 2) (pow J 2))) 1)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (pow J 2))) (* 1/128 (/ (pow U 4) (pow J 4)))) 1)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (pow J 2))) (+ (* -1/1024 (/ (pow U 6) (pow J 6))) (* 1/128 (/ (pow U 4) (pow J 4))))) 1)))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* -1 (* J (+ (* 1/2 (/ U (pow J 2))) (/ 1 U))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))))
#s(approx (* (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) -2) #s(hole binary64 (* -2 J)))
#s(approx (* (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) -2) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) #s(hole binary64 J))
#s(approx (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) #s(hole binary64 (+ J (* -1/8 (* J (pow K 2))))))
#s(approx (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))))
#s(approx (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))))
#s(approx (/ 1 (pow (cos (* 1/2 K)) -1)) #s(hole binary64 1))
#s(approx (/ 1 (pow (cos (* 1/2 K)) -1)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (/ 1 (pow (cos (* 1/2 K)) -1)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (/ 1 (pow (cos (* 1/2 K)) -1)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (pow (cos (* 1/2 K)) -1) #s(hole binary64 1))
#s(approx (pow (cos (* 1/2 K)) -1) #s(hole binary64 (+ 1 (* 1/8 (pow K 2)))))
#s(approx (pow (cos (* 1/2 K)) -1) #s(hole binary64 (+ 1 (* (pow K 2) (+ 1/8 (* 5/384 (pow K 2)))))))
#s(approx (pow (cos (* 1/2 K)) -1) #s(hole binary64 (+ 1 (* (pow K 2) (+ 1/8 (* (pow K 2) (+ 5/384 (* 61/46080 (pow K 2)))))))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 1))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (* 1/2 K) #s(hole binary64 (* 1/2 K)))
#s(approx K #s(hole binary64 K))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (/ 1 (pow (cos (* 1/2 K)) -1)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (pow (cos (* 1/2 K)) -1) #s(hole binary64 (/ 1 (cos (* 1/2 K)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* 1/8 (/ (pow U 2) J)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 3))) (* 1/8 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 5))) (* 1/128 (/ 1 (pow J 3))))) (* 1/8 (/ 1 J)))))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)))
#s(approx U #s(hole binary64 U))
#s(approx (neg U) #s(hole binary64 (* -1 U)))
#s(approx (* (- (/ (* -2 (* J J)) (* U U)) 1) U) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) (pow U 2))))
#s(approx (* U U) #s(hole binary64 (pow U 2)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole 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))))))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) U)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ (+ J (* 1/2 (/ (pow U 2) J))) (pow U 2))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (/ (pow J 2) (pow U 2))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2))))))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (- (/ (* -2 (* J J)) (* U U)) 1) U) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J))))))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1/2 U)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2)))))))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#s(approx (* (- (/ (* -2 (* J J)) (* U U)) 1) U) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	U	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) -2) (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) (/ 1 (pow (cos (* 1/2 K)) -1)) 1 (pow (cos (* 1/2 K)) -1) (cos (* 1/2 K)) (* 1/2 K) 1/2 K -1 J -2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (* J J) U (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (- (/ (* -2 (* J J)) (* U U)) 1) U) (- (/ (* -2 (* J J)) (* U U)) 1) (/ (* -2 (* J J)) (* U U)) (* -2 (* J J)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (/ 1/2 J))
9.0ms	J	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) -2) (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) (/ 1 (pow (cos (* 1/2 K)) -1)) 1 (pow (cos (* 1/2 K)) -1) (cos (* 1/2 K)) (* 1/2 K) 1/2 K -1 J -2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (* J J) U (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (- (/ (* -2 (* J J)) (* U U)) 1) U) (- (/ (* -2 (* J J)) (* U U)) 1) (/ (* -2 (* J J)) (* U U)) (* -2 (* J J)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (/ 1/2 J))
5.0ms	J	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) -2) (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) (/ 1 (pow (cos (* 1/2 K)) -1)) 1 (pow (cos (* 1/2 K)) -1) (cos (* 1/2 K)) (* 1/2 K) 1/2 K -1 J -2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (* J J) U (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (- (/ (* -2 (* J J)) (* U U)) 1) U) (- (/ (* -2 (* J J)) (* U U)) 1) (/ (* -2 (* J J)) (* U U)) (* -2 (* J J)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (/ 1/2 J))
5.0ms	J	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) -2) (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) (/ 1 (pow (cos (* 1/2 K)) -1)) 1 (pow (cos (* 1/2 K)) -1) (cos (* 1/2 K)) (* 1/2 K) 1/2 K -1 J -2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (* J J) U (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (- (/ (* -2 (* J J)) (* U U)) 1) U) (- (/ (* -2 (* J J)) (* U U)) 1) (/ (* -2 (* J J)) (* U U)) (* -2 (* J J)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (/ 1/2 J))
4.0ms	U	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) -2) (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) (/ 1 (pow (cos (* 1/2 K)) -1)) 1 (pow (cos (* 1/2 K)) -1) (cos (* 1/2 K)) (* 1/2 K) 1/2 K -1 J -2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (* J J) U (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (- (/ (* -2 (* J J)) (* U U)) 1) U) (- (/ (* -2 (* J J)) (* U U)) 1) (/ (* -2 (* J J)) (* U U)) (* -2 (* J J)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (/ 1/2 J))

rewrite274.0ms (6.3%)

Memory

33.9MiB live, 216.3MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	733	6008
0	771	5767
1	4094	5366
0	8997	5128

Stop Event

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

Counts

193 → 339

Calls

Call 1

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

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
(.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 #s(literal -2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) J)) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 #s(literal 1 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(.f64 (fabs.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.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))))) #s(literal -1/2 binary64))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
#s(literal -1 binary64)
J
#s(literal -2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx ( (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) J) #s(literal -2 binary64)))
(.f64 #s(approx ( (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) J) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) #s(approx ( (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 (.f64 J J) U) #s(literal 3 binary64)) (.f64 (.f64 U U) (neg.f64 U)))) (neg.f64 (fma.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) (-.f64 (.f64 U U) (.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (neg.f64 U))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))) (.f64 U U))) (neg.f64 (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) (neg.f64 U))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))) (.f64 U U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) (neg.f64 U)))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 (.f64 J J) U) #s(literal 3 binary64)) (.f64 (.f64 U U) (neg.f64 U))) (fma.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) (-.f64 (.f64 U U) (.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (neg.f64 U)))))
(fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))
(fma.f64 #s(literal -1 binary64) U (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)))
(fma.f64 U #s(literal -1 binary64) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) U))
(+.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) (neg.f64 U))
(+.f64 (neg.f64 U) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)))
(*.f64 J (/.f64 J U))
(/.f64 (neg.f64 (neg.f64 (*.f64 J J))) (neg.f64 (neg.f64 U)))
(/.f64 (neg.f64 (*.f64 J J)) (neg.f64 U))
(/.f64 (*.f64 J J) U)
(*.f64 (fabs.f64 (fabs.f64 J)) (fabs.f64 (fabs.f64 J)))
(*.f64 (neg.f64 (fabs.f64 J)) (neg.f64 (fabs.f64 J)))
(*.f64 (neg.f64 (neg.f64 J)) (neg.f64 (neg.f64 J)))
(*.f64 (exp.f64 (log.f64 J)) (exp.f64 (log.f64 J)))
(*.f64 (fabs.f64 J) (fabs.f64 J))
(*.f64 (neg.f64 J) (neg.f64 J))
(*.f64 J J)
(pow.f64 (exp.f64 (log.f64 J)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 J) #s(literal 2 binary64))
(pow.f64 (neg.f64 J) #s(literal 2 binary64))
(pow.f64 (*.f64 J J) #s(literal 1 binary64))
(pow.f64 J #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J J)))
(fabs.f64 (*.f64 J J))
(exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 J) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 J) #s(literal 2 binary64))))
U
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#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (+.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 J J) (.f64 J J))) (.f64 #s(literal 1/8 binary64) (.f64 U (/.f64 U (.f64 J J))))) #s(literal 1 binary64)) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (+.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 J J) (.f64 J J))) (fma.f64 #s(literal 1/1024 binary64) (exp.f64 (-.f64 (.f64 (log.f64 U) #s(literal 6 binary64)) (.f64 (log.f64 J) #s(literal 6 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 U (/.f64 U (.f64 J J)))))) #s(literal 1 binary64)) J))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) (.f64 (.f64 J J) (-.f64 (/.f64 (neg.f64 U) (*.f64 J J)) (/.f64 #s(literal 2 binary64) U))))
#s(approx (* (- (/ (* -2 (* J J)) (* U U)) 1) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)))
#s(approx (* (- (/ (* -2 (* J J)) (* U U)) 1) U) (.f64 (.f64 J J) (-.f64 (/.f64 (neg.f64 U) (*.f64 J J)) (/.f64 #s(literal 2 binary64) U))))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (*.f64 U U)))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 U U)) (.f64 J J) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (fma.f64 #s(literal 1/8 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 J J) (.f64 J J))) (.f64 #s(literal 1/8 binary64) (.f64 U (/.f64 U (*.f64 J J))))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 J J) (.f64 J J))) (fma.f64 #s(literal 1/1024 binary64) (exp.f64 (-.f64 (.f64 (log.f64 U) #s(literal 6 binary64)) (.f64 (log.f64 J) #s(literal 6 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 U (/.f64 U (*.f64 J J)))))) #s(literal 1 binary64)))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (.f64 (-.f64 (.f64 (/.f64 U (*.f64 J J)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) U)) J))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 J (*.f64 U U)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 J) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 J) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (.f64 (.f64 J J) (.f64 J J)))) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
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#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (neg.f64 J) (fma.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (neg.f64 J) (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 J J) (.f64 J J))) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (neg.f64 J) (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 J J) (.f64 J J))) (fma.f64 #s(literal 1/512 binary64) (exp.f64 (-.f64 (.f64 (log.f64 U) #s(literal 6 binary64)) (.f64 (log.f64 J) #s(literal 6 binary64)))) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (neg.f64 J) (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 U (/.f64 U (.f64 J J)))) #s(literal 1 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (neg.f64 J) (-.f64 (fma.f64 #s(literal 1/128 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 J J) (.f64 J J))) (.f64 #s(literal -1/8 binary64) (.f64 U (/.f64 U (.f64 J J))))) #s(literal 1 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (neg.f64 J) (fma.f64 #s(literal -1/8 binary64) (.f64 U (/.f64 U (.f64 J J))) (-.f64 (fma.f64 #s(literal -1/1024 binary64) (exp.f64 (-.f64 (.f64 (log.f64 U) #s(literal 6 binary64)) (.f64 (log.f64 J) #s(literal 6 binary64)))) (.f64 (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 J J) (.f64 J J))) #s(literal 1/128 binary64))) #s(literal 1 binary64)))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (.f64 (neg.f64 J) (fma.f64 (/.f64 U (.f64 J J)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 (.f64 U U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J) #s(literal 1/32 binary64))) (*.f64 K K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/256 binary64) (/.f64 (.f64 U U) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (.f64 J J) (.f64 J J)))))) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) (.f64 K K) (fma.f64 (.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 (.f64 U U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J) #s(literal 1/32 binary64))))) (.f64 K K) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))))
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#s(approx (* (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) -2) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) -2) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) -2) (fma.f64 (.f64 K K) (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) -2) (fma.f64 (fma.f64 (.f64 K K) (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) J)
#s(approx (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) (fma.f64 (.f64 (.f64 K K) J) #s(literal -1/8 binary64) J))
#s(approx (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) (fma.f64 (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/384 binary64) (.f64 #s(literal -1/8 binary64) J)) (.f64 K K) J))
#s(approx (* (/ 1 (pow (cos (* 1/2 K)) -1)) J) (fma.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 (.f64 K K) J) #s(literal -1/46080 binary64) (.f64 #s(literal 1/384 binary64) J)) (.f64 #s(literal -1/8 binary64) J)) (.f64 K K) J))
#s(approx (cos (* 1/2 K)) #s(literal 1 binary64))
#s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))
#s(approx (pow (cos (* 1/2 K)) -1) #s(literal 1 binary64))
#s(approx (pow (cos (* 1/2 K)) -1) (fma.f64 (*.f64 K K) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (pow (cos (* 1/2 K)) -1) (fma.f64 (fma.f64 #s(literal 5/384 binary64) (.f64 K K) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))
#s(approx (pow (cos (* 1/2 K)) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/46080 binary64) (.f64 K K) #s(literal 5/384 binary64)) (.f64 K K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) #s(literal 1 binary64))
#s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
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#s(approx (* 1/2 K) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
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#s(approx (cos (* 1/2 K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (pow (cos (* 1/2 K)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (cos (* 1/2 K)) (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 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) 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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 U U)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 (.f64 #s(literal -1/512 binary64) (.f64 U U)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)))) (.f64 U U)) (/.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (.f64 U U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 J #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 U U)) (.f64 (.f64 J J) J)) (/.f64 #s(literal 1/4 binary64) J)) (.f64 U U) (.f64 J #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 U U) (pow.f64 J #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 J J) J))) (.f64 U U)) (/.f64 #s(literal 1/4 binary64) J)) (.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) J)) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) J)) (.f64 U U) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/1024 binary64) (.f64 U U)) (pow.f64 J #s(literal 5 binary64))) (/.f64 #s(literal 1/128 binary64) (.f64 (.f64 J J) J))) (.f64 U U) (/.f64 #s(literal 1/8 binary64) J)) (.f64 U U) J))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) (/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (neg.f64 (.f64 U U))) U))
#s(approx U U)
#s(approx (neg U) (neg.f64 U))
#s(approx (* (- (/ (* -2 (* J J)) (* U U)) 1) U) (/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (neg.f64 (.f64 U U))) U))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) (/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (neg.f64 (.f64 U U))) (*.f64 U U)))
#s(approx (* U U) (*.f64 U U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) (.f64 J J))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 J J))) (.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 (.f64 U U) (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 J J) J))) #s(literal 1/1024 binary64)) (/.f64 #s(literal 1/128 binary64) (.f64 (.f64 J J) (.f64 J J)))) (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/2 binary64) (neg.f64 J)) U))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal 1/2 binary64) J) (.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (.f64 (.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U))) (fma.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64) (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64)))) #s(literal 1 binary64)) U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (-.f64 (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64) (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (.f64 U U))) #s(literal 1 binary64)) U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (fma.f64 (pow.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal 3 binary64)) #s(literal -4 binary64) (-.f64 (fma.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64) (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (.f64 U U))) #s(literal 1 binary64))) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (+.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64)) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U)))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal 1/2 binary64)) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))))) (fma.f64 (pow.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 (.f64 J J) (*.f64 U U)))) U))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) (.f64 (-.f64 (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (* (- (/ (* -2 (* J J)) (* U U)) 1) U) (.f64 (-.f64 (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 (.f64 (neg.f64 J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (fma.f64 (exp.f64 (-.f64 (.f64 (log.f64 J) #s(literal 5 binary64)) (.f64 (log.f64 U) #s(literal 6 binary64)))) #s(literal 2 binary64) (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) (/.f64 (.f64 (neg.f64 J) (.f64 J J)) (.f64 (.f64 U U) (*.f64 U U)))) U))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (.f64 (-.f64 (/.f64 (neg.f64 J) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
#s(approx (* (* (* -2 J) (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)))) (.f64 (neg.f64 U) (-.f64 (.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (.f64 (.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U))) (fma.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64) (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) U)
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (neg.f64 U) (-.f64 (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (.f64 U U)) #s(literal 1 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (neg.f64 U) (-.f64 (fma.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64) (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (.f64 U U))) #s(literal 1 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (neg.f64 U) (fma.f64 (pow.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal 3 binary64)) #s(literal -4 binary64) (-.f64 (fma.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64) (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (.f64 U U))) #s(literal 1 binary64)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1/2 binary64) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (neg.f64 U) (+.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (neg.f64 U) (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U)))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal 1/2 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (neg.f64 U) (+.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))))) (fma.f64 (pow.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 (.f64 J J) (*.f64 U U))))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) (.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (* (- (/ (* -2 (* J J)) (* U U)) 1) U) (.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 (.f64 (neg.f64 J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (neg.f64 U) (+.f64 (fma.f64 (exp.f64 (-.f64 (.f64 (log.f64 J) #s(literal 5 binary64)) (.f64 (log.f64 U) #s(literal 6 binary64)))) #s(literal 2 binary64) (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) (/.f64 (.f64 (neg.f64 J) (.f64 J J)) (.f64 (.f64 U U) (*.f64 U U))))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))

eval448.0ms (10.3%)

Memory: -130.6MiB live, 106.5MiB allocated; 776ms collecting garbage
Compiler: Compiled 4 852 to 1 885 computations (61.2% saved)

prune23.0ms (0.5%)

Memory

4.7MiB live, 50.6MiB allocated; 3ms collecting garbage

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	302	12	314
Fresh	4	5	9
Picked	4	1	5
Done	0	3	3
Total	310	21	331

Accuracy

99.9%

Counts

331 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 #s(literal 1 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64)))
	34.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) J) #s(literal -2 binary64)))
	34.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) J) #s(literal -2 binary64)))
✓	48.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
▶	32.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)) J) #s(literal -2 binary64)))
▶	8.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (neg.f64 U) #s(approx (+ (/ J ( U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
	2.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U))) J) #s(literal -2 binary64)))
	6.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (.f64 (-.f64 (.f64 (/.f64 U (*.f64 J J)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) U)) J))) J) #s(literal -2 binary64)))
	26.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
	26.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
	26.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
	26.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx ( (/ 1 (pow (cos (* 1/2 K)) -1)) J) (fma.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 (.f64 K K) J) #s(literal -1/46080 binary64) (.f64 #s(literal 1/384 binary64) J)) (.f64 #s(literal -1/8 binary64) J)) (.f64 K K) J)) #s(literal -2 binary64)))
	26.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx ( (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64) J)) #s(literal -2 binary64)))
✓	27.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx ( (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) J) #s(literal -2 binary64)))
✓	46.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	46.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
▶	40.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (exp.f64 (.f64 (log.f64 U) #s(literal 2 binary64)))) #s(literal 1 binary64)) U)))
	3.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 #s(approx (- (/ ( -2 (* J J)) (* U U)) 1) (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (*.f64 U U))) U)))
	43.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(approx (+ (* (/ (* J J) U) -2) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))))
▶	4.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(approx (+ (* (/ (* J J) U) -2) (neg U)) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)))))
✓	10.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Compiler

Compiled 1 382 to 1 274 computations (7.8% saved)

series133.0ms (3.1%)

Memory

15.0MiB live, 156.5MiB allocated; 16ms collecting garbage

Counts

45 → 167

Calls

Call 1

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

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) -2) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) #s(hole binary64 (* J (cos (* 1/2 K)))))
#s(approx (* 1 J) #s(hole binary64 J))
#s(approx J #s(hole binary64 J))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 U)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* -1 U)))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (- (* -2 (/ (pow J 2) U)) U)))
#s(approx (* (/ (* J J) U) -2) #s(hole binary64 (* -2 (/ (pow J 2) U))))
#s(approx (/ (* J J) U) #s(hole binary64 (/ (pow J 2) U)))
#s(approx (* J J) #s(hole binary64 (pow J 2)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* 1/2 U)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (/ (pow J 2) U))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (/ (+ (* -1 (/ (pow J 2) U)) (* -1/2 U)) J)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ 1/2 J)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ (+ 1/2 (/ (pow J 2) (pow U 2))) J)))
#s(approx (/ 1/2 J) #s(hole binary64 (/ 1/2 J)))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (/ J (* U U)) #s(hole binary64 (/ J (pow U 2))))
#s(approx (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) #s(hole binary64 (* -1 U)))
#s(approx (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) #s(hole binary64 -1))
#s(approx (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) #s(hole binary64 (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
#s(approx (/ (* -2 (* J J)) (exp (* (log U) 2))) #s(hole binary64 (* -2 (/ (pow J 2) (pow U 2)))))
#s(approx (* -2 (* J J)) #s(hole binary64 (* -2 (pow J 2))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -2 J)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* -2 (/ (pow J 2) U))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 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)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* -1 (/ J U))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U)))))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ J (pow U 2))))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (* J (+ (* 1/2 (/ 1 (pow J 2))) (/ 1 (pow U 2))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (/ J U)))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (* J (+ (* 1/2 (/ U (pow J 2))) (/ 1 U)))))
#s(approx (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) #s(hole binary64 (* -2 (/ (pow J 2) U))))
#s(approx (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) #s(hole binary64 (* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))))
#s(approx (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) #s(hole binary64 (* -2 (/ (pow J 2) (pow U 2)))))
#s(approx (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) #s(hole binary64 (* -1 (* (pow J 2) (+ (* 2 (/ 1 (pow U 2))) (/ 1 (pow J 2)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* J (- (* -1/8 (/ (pow U 2) (pow J 2))) 1)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (pow J 2))) (* 1/128 (/ (pow U 4) (pow J 4)))) 1)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (pow J 2))) (+ (* -1/1024 (/ (pow U 6) (pow J 6))) (* 1/128 (/ (pow U 4) (pow J 4))))) 1)))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* -1 (* J (+ (* 1/2 (/ U (pow J 2))) (/ 1 U))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (* -1 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))))
#s(approx (* (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) -2) #s(hole binary64 (* -2 J)))
#s(approx (* (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) -2) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) -2) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) -2) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) #s(hole binary64 J))
#s(approx (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) #s(hole binary64 (+ J (* -1/8 (* J (pow K 2))))))
#s(approx (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))))
#s(approx (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))))
#s(approx (/ 1 (cos (* 1/2 K))) #s(hole binary64 1))
#s(approx (/ 1 (cos (* 1/2 K))) #s(hole binary64 (+ 1 (* 1/8 (pow K 2)))))
#s(approx (/ 1 (cos (* 1/2 K))) #s(hole binary64 (+ 1 (* (pow K 2) (+ 1/8 (* 5/384 (pow K 2)))))))
#s(approx (/ 1 (cos (* 1/2 K))) #s(hole binary64 (+ 1 (* (pow K 2) (+ 1/8 (* (pow K 2) (+ 5/384 (* 61/46080 (pow K 2)))))))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 1))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (* 1/2 K) #s(hole binary64 (* 1/2 K)))
#s(approx K #s(hole binary64 K))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (/ 1 (cos (* 1/2 K))) #s(hole binary64 (/ 1 (cos (* 1/2 K)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)))
#s(approx U #s(hole binary64 U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* 1/8 (/ (pow U 2) J)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 3))) (* 1/8 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 5))) (* 1/128 (/ 1 (pow J 3))))) (* 1/8 (/ 1 J)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole 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))))))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) U)))
#s(approx (neg U) #s(hole binary64 (* -1 U)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ (+ J (* 1/2 (/ (pow U 2) J))) (pow U 2))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (/ (+ J (* 1/2 (/ (pow U 2) J))) U)))
#s(approx (* U U) #s(hole binary64 (pow U 2)))
#s(approx (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)))
#s(approx (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) (pow U 2))))
#s(approx (exp (* (log U) 2)) #s(hole binary64 (pow U 2)))
#s(approx (* (log U) 2) #s(hole binary64 (* 2 (log U))))
#s(approx (log U) #s(hole binary64 (log U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (/ (pow J 2) (pow U 2))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J))))))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (log U) 2) #s(hole binary64 (* -2 (log (/ 1 U)))))
#s(approx (log U) #s(hole binary64 (* -1 (log (/ 1 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1/2 U)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (* -1 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J)))))))
#s(approx (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#s(approx (* (log U) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 U)))))))
#s(approx (log U) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 U))))))

Calls

9 calls:

Time	Variable		Point	Expression
62.0ms	U	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) -2) (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) (* 1 J) 1 J (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 K -2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (+ (* (/ (* J J) U) -2) (neg U)) (* (/ (* J J) U) -2) (/ (* J J) U) (* J J) U (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (neg U) (+ (/ J (* U U)) (/ 1/2 J)) (/ 1/2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (+ (/ J (* U U)) (/ 1/2 J)) U) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) (/ (* -2 (* J J)) (exp (* (log U) 2))) (* -2 (* J J)) (exp (* (log U) 2)) (* (log U) 2) (log U) 2)
33.0ms	U	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) -2) (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) (* 1 J) 1 J (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 K -2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (+ (* (/ (* J J) U) -2) (neg U)) (* (/ (* J J) U) -2) (/ (* J J) U) (* J J) U (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (neg U) (+ (/ J (* U U)) (/ 1/2 J)) (/ 1/2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (+ (/ J (* U U)) (/ 1/2 J)) U) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) (/ (* -2 (* J J)) (exp (* (log U) 2))) (* -2 (* J J)) (exp (* (log U) 2)) (* (log U) 2) (log U) 2)
9.0ms	U	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) -2) (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) (* 1 J) 1 J (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 K -2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (+ (* (/ (* J J) U) -2) (neg U)) (* (/ (* J J) U) -2) (/ (* J J) U) (* J J) U (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (neg U) (+ (/ J (* U U)) (/ 1/2 J)) (/ 1/2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (+ (/ J (* U U)) (/ 1/2 J)) U) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) (/ (* -2 (* J J)) (exp (* (log U) 2))) (* -2 (* J J)) (exp (* (log U) 2)) (* (log U) 2) (log U) 2)
5.0ms	J	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) -2) (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) (* 1 J) 1 J (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 K -2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (+ (* (/ (* J J) U) -2) (neg U)) (* (/ (* J J) U) -2) (/ (* J J) U) (* J J) U (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (neg U) (+ (/ J (* U U)) (/ 1/2 J)) (/ 1/2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (+ (/ J (* U U)) (/ 1/2 J)) U) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) (/ (* -2 (* J J)) (exp (* (log U) 2))) (* -2 (* J J)) (exp (* (log U) 2)) (* (log U) 2) (log U) 2)
5.0ms	J	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) -2) (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) (* 1 J) 1 J (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 K -2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (+ (* (/ (* J J) U) -2) (neg U)) (* (/ (* J J) U) -2) (/ (* J J) U) (* J J) U (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (neg U) (+ (/ J (* U U)) (/ 1/2 J)) (/ 1/2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (+ (/ J (* U U)) (/ 1/2 J)) U) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) (/ (* -2 (* J J)) (exp (* (log U) 2))) (* -2 (* J J)) (exp (* (log U) 2)) (* (log U) 2) (log U) 2)

rewrite210.0ms (4.8%)

Memory

30.2MiB live, 256.3MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	769	6375
0	811	6079
1	4207	5723
0	9204	5473

Stop Event

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

Counts

212 → 347

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 #s(literal 1 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal 1 binary64) J)
#s(literal 1 binary64)
J
(/.f64 #s(literal 1 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)
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#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (* 1/2 K) #s(hole binary64 (* 1/2 K)))
#s(approx K #s(hole binary64 K))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (/ 1 (cos (* 1/2 K))) #s(hole binary64 (/ 1 (cos (* 1/2 K)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole 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))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)))
#s(approx U #s(hole binary64 U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* 1/8 (/ (pow U 2) J)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 3))) (* 1/8 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 5))) (* 1/128 (/ 1 (pow J 3))))) (* 1/8 (/ 1 J)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole 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))))))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) U)))
#s(approx (neg U) #s(hole binary64 (* -1 U)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ (+ J (* 1/2 (/ (pow U 2) J))) (pow U 2))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (/ (+ J (* 1/2 (/ (pow U 2) J))) U)))
#s(approx (* U U) #s(hole binary64 (pow U 2)))
#s(approx (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)))
#s(approx (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) (pow U 2))))
#s(approx (exp (* (log U) 2)) #s(hole binary64 (pow U 2)))
#s(approx (* (log U) 2) #s(hole binary64 (* 2 (log U))))
#s(approx (log U) #s(hole binary64 (log U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (/ (pow J 2) (pow U 2))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J))))))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (log U) 2) #s(hole binary64 (* -2 (log (/ 1 U)))))
#s(approx (log U) #s(hole binary64 (* -1 (log (/ 1 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1/2 U)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (* -1 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J)))))))
#s(approx (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#s(approx (* (log U) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 U)))))))
#s(approx (log U) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 U))))))

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (/.f64 J #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)))
(.f64 (.f64 (/.f64 J #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (/.f64 J #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (neg.f64 (.f64 J #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (/.f64 J #s(literal 1 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 J #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (neg.f64 (neg.f64 J)) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (neg.f64 J) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 J (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
J
#s(literal 1 binary64)
J
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
#s(literal -2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(approx (+ (* (/ (* J J) U) -2) (neg U)) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(approx (+ (* (/ (* J J) U) -2) (neg U)) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) U))
(/.f64 (neg.f64 (.f64 (.f64 J J) #s(literal -2 binary64))) (neg.f64 U))
(/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) U)
(*.f64 J (/.f64 J U))
(/.f64 (neg.f64 (neg.f64 (*.f64 J J))) (neg.f64 (neg.f64 U)))
(/.f64 (neg.f64 (*.f64 J J)) (neg.f64 U))
(/.f64 (*.f64 J J) U)
(*.f64 (fabs.f64 (fabs.f64 J)) (fabs.f64 (fabs.f64 J)))
(*.f64 (neg.f64 (fabs.f64 J)) (neg.f64 (fabs.f64 J)))
(*.f64 (neg.f64 (neg.f64 J)) (neg.f64 (neg.f64 J)))
(*.f64 (exp.f64 (log.f64 J)) (exp.f64 (log.f64 J)))
(*.f64 (fabs.f64 J) (fabs.f64 J))
(*.f64 (neg.f64 J) (neg.f64 J))
(.f64 (.f64 J J) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 J J))
(*.f64 J J)
(pow.f64 (exp.f64 (log.f64 J)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 J) #s(literal 2 binary64))
(pow.f64 (neg.f64 J) #s(literal 2 binary64))
(pow.f64 (*.f64 J J) #s(literal 1 binary64))
(pow.f64 J #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J J)))
(fabs.f64 (*.f64 J J))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 J) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 J) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 J) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 J) #s(literal 2 binary64))))
U
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* U U) (* J J)) 1/4) 1)) (.f64 (neg.f64 U) #s(approx (+ (/ J ( U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 J #s(literal -2 binary64))))
(.f64 (.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (neg.f64 U) #s(approx (+ (/ J ( U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64))
(.f64 #s(approx (sqrt (+ ( (/ (* U U) (* J J)) 1/4) 1)) (.f64 (neg.f64 U) #s(approx (+ (/ J ( U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 J #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (neg.f64 U) #s(approx (+ (/ J ( U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)))) J))
(.f64 #s(approx (sqrt (+ ( (/ (* U U) (* J J)) 1/4) 1)) (.f64 (neg.f64 U) #s(approx (+ (/ J ( U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)))) J)
(.f64 J #s(approx (sqrt (+ ( (/ (* U U) (* J J)) 1/4) 1)) (.f64 (neg.f64 U) #s(approx (+ (/ J ( U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (neg.f64 U) #s(approx (+ (/ J ( U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J))))
(.f64 (neg.f64 U) #s(approx (+ (/ J ( U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)))
(.f64 #s(approx (+ (/ J ( U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))
(neg.f64 (.f64 U #s(approx (+ (/ J ( U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 #s(literal -1 binary64) U)
(*.f64 U #s(literal -1 binary64))
(neg.f64 U)
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) J))
(/.f64 #s(literal -1/2 binary64) (neg.f64 J))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 J)))
(/.f64 #s(literal 1/2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)) J) #s(literal -2 binary64)))
(.f64 (.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)) J) #s(literal -2 binary64))
(.f64 #s(approx (sqrt (+ ( (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)) (*.f64 J #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)) J))
(.f64 #s(approx (sqrt (+ ( (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)) J)
(.f64 J #s(approx (sqrt (+ ( (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
(.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)
(.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
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#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) J)
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64)) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (+.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 J J) (.f64 J J))) (.f64 #s(literal 1/8 binary64) (.f64 U (/.f64 U (.f64 J J))))) #s(literal 1 binary64)) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (+.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 J J) (.f64 J J))) (fma.f64 #s(literal 1/1024 binary64) (exp.f64 (-.f64 (.f64 (log.f64 U) #s(literal 6 binary64)) (.f64 (log.f64 J) #s(literal 6 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 U (/.f64 U (.f64 J J)))))) #s(literal 1 binary64)) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (fma.f64 #s(literal 1/8 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 J J) (.f64 J J))) (.f64 #s(literal 1/8 binary64) (.f64 U (/.f64 U (*.f64 J J))))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 J J) (.f64 J J))) (fma.f64 #s(literal 1/1024 binary64) (exp.f64 (-.f64 (.f64 (log.f64 U) #s(literal 6 binary64)) (.f64 (log.f64 J) #s(literal 6 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 U (/.f64 U (*.f64 J J)))))) #s(literal 1 binary64)))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (.f64 (-.f64 (.f64 (/.f64 U (*.f64 J J)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) U)) J))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 J (*.f64 U U)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 J J))) J))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (/.f64 J U))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (.f64 (fma.f64 (/.f64 U (.f64 J J)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) U)) J))
#s(approx (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)))
#s(approx (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) (.f64 (.f64 J J) (-.f64 (/.f64 (neg.f64 U) (*.f64 J J)) (/.f64 #s(literal 2 binary64) U))))
#s(approx (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (*.f64 U U)))
#s(approx (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 U U)) (.f64 J J) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 J) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 J) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (.f64 (.f64 J J) (.f64 J J)))) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (.f64 (.f64 J J) (.f64 J J)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U)) (exp.f64 (fma.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64) (.f64 (log.f64 J) #s(literal 6 binary64))))) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (neg.f64 J) (fma.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (neg.f64 J) (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 J J) (.f64 J J))) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (neg.f64 J) (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 J J) (.f64 J J))) (fma.f64 #s(literal 1/512 binary64) (exp.f64 (-.f64 (.f64 (log.f64 U) #s(literal 6 binary64)) (.f64 (log.f64 J) #s(literal 6 binary64)))) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (neg.f64 J) (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 U (/.f64 U (.f64 J J)))) #s(literal 1 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (neg.f64 J) (-.f64 (fma.f64 #s(literal 1/128 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 J J) (.f64 J J))) (.f64 #s(literal -1/8 binary64) (.f64 U (/.f64 U (.f64 J J))))) #s(literal 1 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (neg.f64 J) (fma.f64 #s(literal -1/8 binary64) (.f64 U (/.f64 U (.f64 J J))) (-.f64 (fma.f64 #s(literal -1/1024 binary64) (exp.f64 (-.f64 (.f64 (log.f64 U) #s(literal 6 binary64)) (.f64 (log.f64 J) #s(literal 6 binary64)))) (.f64 (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 J J) (.f64 J J))) #s(literal 1/128 binary64))) #s(literal 1 binary64)))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (.f64 (neg.f64 J) (fma.f64 (/.f64 U (.f64 J J)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) U))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (.f64 (neg.f64 J) (-.f64 (.f64 (/.f64 U (*.f64 J J)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 (.f64 U U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J) #s(literal 1/32 binary64))) (*.f64 K K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/256 binary64) (/.f64 (.f64 U U) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (.f64 J J) (.f64 J J)))))) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) (.f64 K K) (fma.f64 (.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 (.f64 U U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J) #s(literal 1/32 binary64))))) (.f64 K K) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 (fma.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (.f64 J J) (.f64 J J)))))) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal -1/46080 binary64) J) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 U (/.f64 U (.f64 J J))) (fma.f64 #s(literal 1/192 binary64) (.f64 U (/.f64 U (.f64 J J))) (.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)) #s(literal 1/4 binary64)))) #s(literal -1/4 binary64) (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (fma.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (.f64 J J) (.f64 J J)))))) (.f64 U U)) (.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 J J))))) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (.f64 #s(literal 1/12288 binary64) (/.f64 (.f64 (.f64 U U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J))))) (.f64 K K) (fma.f64 (.f64 #s(literal -1/256 binary64) (/.f64 (.f64 U U) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (.f64 J J) (.f64 J J)))))) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))))) (.f64 K K) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 (.f64 U U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J) #s(literal 1/32 binary64))) #s(literal -2 binary64))) (.f64 K K) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))))
#s(approx (* (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) -2) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) -2) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) -2) (fma.f64 (.f64 K K) (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) -2) (fma.f64 (fma.f64 (.f64 K K) (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 J #s(literal -2 binary64))))
#s(approx (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) J)
#s(approx (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) (fma.f64 (.f64 (.f64 K K) J) #s(literal -1/8 binary64) J))
#s(approx (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) (fma.f64 (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/384 binary64) (.f64 #s(literal -1/8 binary64) J)) (.f64 K K) J))
#s(approx (/ (* 1 J) (/ 1 (cos (* 1/2 K)))) (fma.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 (.f64 K K) J) #s(literal -1/46080 binary64) (.f64 #s(literal 1/384 binary64) J)) (.f64 #s(literal -1/8 binary64) J)) (.f64 K K) J))
#s(approx (/ 1 (cos (* 1/2 K))) #s(literal 1 binary64))
#s(approx (/ 1 (cos (* 1/2 K))) (fma.f64 (*.f64 K K) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ 1 (cos (* 1/2 K))) (fma.f64 (fma.f64 #s(literal 5/384 binary64) (.f64 K K) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))
#s(approx (/ 1 (cos (* 1/2 K))) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/46080 binary64) (.f64 K K) #s(literal 5/384 binary64)) (.f64 K K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) #s(literal 1 binary64))
#s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))
#s(approx (* 1/2 K) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (+.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 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (/ 1 (cos (* 1/2 K))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (cos (* 1/2 K)) (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 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) 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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 U U)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 (.f64 #s(literal -1/512 binary64) (.f64 U U)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)))) (.f64 U U)) (/.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (.f64 U U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 J #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 U U)) (.f64 (.f64 J J) J)) (/.f64 #s(literal 1/4 binary64) J)) (.f64 U U) (.f64 J #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 U U) (pow.f64 J #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 J J) J))) (.f64 U U)) (/.f64 #s(literal 1/4 binary64) J)) (.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) (/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (neg.f64 (.f64 U U))) U))
#s(approx U U)
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) J)) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) J)) (.f64 U U) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/1024 binary64) (.f64 U U)) (pow.f64 J #s(literal 5 binary64))) (/.f64 #s(literal 1/128 binary64) (.f64 (.f64 J J) J))) (.f64 U U) (/.f64 #s(literal 1/8 binary64) J)) (.f64 U U) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) (.f64 J J))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 J J))) (.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 (.f64 U U) (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 J J) J))) #s(literal 1/1024 binary64)) (/.f64 #s(literal 1/128 binary64) (.f64 (.f64 J J) (.f64 J J)))) (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/2 binary64) (neg.f64 J)) U))
#s(approx (neg U) (neg.f64 U))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal 1/2 binary64) J) (.f64 U U)))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (/.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/2 binary64) J) U))
#s(approx (* U U) (*.f64 U U))
#s(approx (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) (/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (neg.f64 (.f64 U U))) U))
#s(approx (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) (/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (neg.f64 (.f64 U U))) (*.f64 U U)))
#s(approx (* U U) (*.f64 U U))
#s(approx (* (log U) 2) (*.f64 (log.f64 U) #s(literal 2 binary64)))
#s(approx (log U) (log.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (.f64 (.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U))) (fma.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64) (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64)))) #s(literal 1 binary64)) U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (-.f64 (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (fma.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64))) U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (fma.f64 (pow.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64)))) U))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) (.f64 (-.f64 (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (+.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64)) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U)))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal 1/2 binary64)) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))))) (fma.f64 (pow.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 (.f64 J J) (*.f64 U U)))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 (.f64 (neg.f64 J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (fma.f64 (exp.f64 (-.f64 (.f64 (log.f64 J) #s(literal 5 binary64)) (.f64 (log.f64 U) #s(literal 6 binary64)))) #s(literal 2 binary64) (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) (/.f64 (.f64 (neg.f64 J) (.f64 J J)) (.f64 (.f64 U U) (*.f64 U U)))) U))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (.f64 (-.f64 (/.f64 (neg.f64 J) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) (.f64 (-.f64 (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (* (log U) 2) (*.f64 (log.f64 U) #s(literal 2 binary64)))
#s(approx (log U) (log.f64 U))
#s(approx (* (* (* -2 J) (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)))) (.f64 (neg.f64 U) (-.f64 (.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (.f64 (.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U))) (fma.f64 (.f64 (.f64 J J) (/.f64 (+.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 U U))) #s(literal -2 binary64) (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) U)
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (neg.f64 U) (-.f64 (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (.f64 U U)) #s(literal 1 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (neg.f64 U) (fma.f64 (pow.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) (.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1/2 binary64) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (neg.f64 U) (+.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (neg.f64 U) (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U)))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal 1/2 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (.f64 (neg.f64 U) (+.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (.f64 J J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))))) (fma.f64 (pow.f64 (/.f64 (.f64 J J) (.f64 U U)) #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 (.f64 J J) (*.f64 U U))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 (.f64 (neg.f64 J) (.f64 J J)) (.f64 (.f64 U U) (.f64 U U))) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (neg.f64 U) (+.f64 (fma.f64 (exp.f64 (-.f64 (.f64 (log.f64 J) #s(literal 5 binary64)) (.f64 (log.f64 U) #s(literal 6 binary64)))) #s(literal 2 binary64) (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) (/.f64 (.f64 (neg.f64 J) (.f64 J J)) (.f64 (.f64 U U) (*.f64 U U))))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (.f64 (neg.f64 U) (-.f64 (/.f64 (neg.f64 J) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
#s(approx (* (- (/ (* -2 (* J J)) (exp (* (log U) 2))) 1) U) (.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (* (log U) 2) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 U)))))))
#s(approx (log U) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U)) #s(literal -1 binary64))))

eval40.0ms (0.9%)

Memory: -4.2MiB live, 85.3MiB allocated; 10ms collecting garbage
Compiler: Compiled 4 893 to 1 966 computations (59.8% saved)

prune34.0ms (0.8%)

Memory

3.9MiB live, 63.4MiB allocated; 22ms collecting garbage

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	306	3	309
Fresh	2	10	12
Picked	1	4	5
Done	0	4	4
Total	309	21	330

Accuracy

99.9%

Counts

330 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	34.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) J) #s(literal -2 binary64)))
	34.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) J) #s(literal -2 binary64)))
✓	48.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
✓	32.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)) J) #s(literal -2 binary64)))
✓	8.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (neg.f64 U) #s(approx (+ (/ J ( U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
	4.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (/.f64 J U))) J) #s(literal -2 binary64)))
	2.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U))) J) #s(literal -2 binary64)))
	6.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (.f64 (-.f64 (.f64 (/.f64 U (*.f64 J J)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) U)) J))) J) #s(literal -2 binary64)))
	26.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
	26.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
	26.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
	26.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (/ ( 1 J) (/ 1 (cos (* 1/2 K)))) (fma.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 (.f64 K K) J) #s(literal -1/46080 binary64) (.f64 #s(literal 1/384 binary64) J)) (.f64 #s(literal -1/8 binary64) J)) (.f64 K K) J)) #s(literal -2 binary64)))
	26.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx ( (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64) J)) #s(literal -2 binary64)))
✓	27.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx ( (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) J) #s(literal -2 binary64)))
✓	46.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
✓	40.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (exp.f64 (.f64 (log.f64 U) #s(literal 2 binary64)))) #s(literal 1 binary64)) U)))
	3.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (.f64 #s(approx (- (/ ( -2 (* J J)) (* U U)) 1) (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (*.f64 U U))) U)))
	43.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(approx (+ (* (/ (* J J) U) -2) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))))
✓	4.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(approx (+ (* (/ (* J J) U) -2) (neg U)) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)))))
✓	10.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Compiler

Compiled 1 239 to 942 computations (24% saved)

regimes60.0ms (1.4%)

Memory

-1.7MiB live, 91.1MiB allocated; 4ms collecting garbage

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

11.0ms	U
10.0ms	J
9.0ms	K
9.0ms	(/.f64 K #s(literal 2 binary64))
8.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
71.4%	1	`(/.f64 K #s(literal 2 binary64))`
71.4%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
99.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
84.3%	2	`J`
71.4%	1	`K`
85.1%	2	`U`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes45.0ms (1%)

Memory

-34.9MiB live, 11.8MiB allocated; 1ms collecting garbage

Counts

34 → 5

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
90.5%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes24.0ms (0.5%)

Memory

34.5MiB live, 34.5MiB allocated; 0ms collecting garbage

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 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
63.7%	2	`J`
62.1%	2	`U`
79.0%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 23 computations (4.2% saved)

regimes40.0ms (0.9%)

Memory

8.3MiB live, 58.8MiB allocated; 5ms collecting garbage

Counts

27 → 4

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
7.0ms	K
7.0ms	(/.f64 K #s(literal 2 binary64))
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
53.4%	4	`(/.f64 K #s(literal 2 binary64))`
53.4%	4	`K`
56.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
70.4%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 30 to 31 computations (-3.3% saved)

regimes14.0ms (0.3%)

Memory

-17.1MiB live, 27.9MiB allocated; 4ms collecting garbage

Counts

18 → 4

Calls

Call 1

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

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

Calls

2 calls:

8.0ms

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

5.0ms

Results

Accuracy	Segments	Branch
55.4%	2	`J`
65.8%	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 23 to 20 computations (13% saved)

regimes4.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Counts

9 → 4

Calls

Call 1

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

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx ( (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(approx (+ (* (/ (* J J) U) -2) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (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
65.8%	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 22 to 17 computations (22.7% saved)

regimes3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Counts

6 → 4

Calls

Call 1

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

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx ( (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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
65.8%	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 22 to 17 computations (22.7% saved)

regimes7.0ms (0.2%)

Memory

-35.0MiB live, 9.4MiB allocated; 3ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (* (* (* -2 J) (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))

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)))) U)

Calls

3 calls:

4.0ms

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

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)))))

Results

Accuracy	Segments	Branch
55.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
46.2%	1	`U`
55.4%	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 27 to 26 computations (3.7% saved)

regimes6.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
#s(approx (* (* (* -2 J) (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	K
1.0ms	J
1.0ms	U

Results

Accuracy	Segments	Branch
10.7%	1	`U`
10.7%	1	`(/.f64 K #s(literal 2 binary64))`
10.7%	1	`K`
10.7%	1	`J`
10.7%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
10.7%	1	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.972114014388894e+306	+inf
0.0ms	-inf	-6.17088460404312e+307

Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.972114014388894e+306	+inf
0.0ms	-1.5058634643453306e-260	3.2358121409556643e-230
0.0ms	-1.4161408301298389e+174	-2.4154363378074172e+173
0.0ms	-inf	-6.17088460404312e+307

Compiler

Compiled 25 to 23 computations (8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.5058634643453306e-260	3.2358121409556643e-230
0.0ms	-inf	-6.17088460404312e+307

Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-1.5058634643453306e-260	3.2358121409556643e-230
0.0ms	-5.530293571666246e-71	-2.130588261332329e-71
0.0ms	-2.7913897894314305e+283	-2.0366042470873838e+283

Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-1.5058634643453306e-260	3.2358121409556643e-230
0.0ms	-5.530293571666246e-71	-2.130588261332329e-71
0.0ms	-inf	-6.17088460404312e+307

Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-1.5058634643453306e-260	3.2358121409556643e-230
0.0ms	-5.530293571666246e-71	-2.130588261332329e-71
0.0ms	-inf	-6.17088460404312e+307

Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-1.5058634643453306e-260	3.2358121409556643e-230
0.0ms	-5.530293571666246e-71	-2.130588261332329e-71
0.0ms	-inf	-6.17088460404312e+307

Compiler

Compiled 25 to 23 computations (8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.5058634643453306e-260	3.2358121409556643e-230

Compiler

Compiled 25 to 23 computations (8% saved)

derivations224.0ms (5.1%)

Memory

-21.6MiB live, 215.6MiB allocated; 22ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 208 to 115 computations (44.7% saved)

preprocess363.0ms (8.3%)

Memory

27.1MiB live, 495.2MiB allocated; 101ms collecting garbage

Remove

(negabs J)

(abs U)

(abs K)

Compiler

Compiled 6 916 to 4 466 computations (35.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze318.0ms (7.3%)

sample1.3s (30.4%)

preprocess61.0ms (1.4%)

series57.0ms (1.3%)

rewrite196.0ms (4.5%)

eval21.0ms (0.5%)

prune7.0ms (0.2%)

series47.0ms (1.1%)

rewrite247.0ms (5.7%)

eval41.0ms (0.9%)

prune16.0ms (0.4%)

series67.0ms (1.5%)

rewrite274.0ms (6.3%)

eval448.0ms (10.3%)

prune23.0ms (0.5%)

series133.0ms (3.1%)

rewrite210.0ms (4.8%)

eval40.0ms (0.9%)

prune34.0ms (0.8%)

regimes60.0ms (1.4%)

regimes45.0ms (1%)

regimes24.0ms (0.5%)

regimes40.0ms (0.9%)

regimes14.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes7.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

derivations224.0ms (5.1%)

preprocess363.0ms (8.3%)

end0.0ms (0%)

Profiling