Maksimov and Kolovsky, Equation (3)

Time bar (total: 4.8s)

start0.0ms (0%)

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

analyze362.0ms (7.6%)

Memory
-0.4MiB live, 508.2MiB allocated; 142ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
37.5%37.4%62.4%0.1%0%0%0%7
43.8%43.7%56.2%0.1%0%0%0%8
43.8%43.7%56.2%0.1%0%0%0%9
43.8%43.7%56.2%0.1%0%0%0%10
46.9%46.8%53%0.1%0%0%0%11
46.9%46.8%53%0.1%0%0%0%12
Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.7s (34.8%)

Memory
59.7MiB live, 2 282.7MiB allocated; 503ms collecting garbage
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-cos: 422.0ms (39.5% of total)
ival-mult!: 315.0ms (29.5% of total)
ival-div!: 128.0ms (12% of total)
ival-pow2: 95.0ms (8.9% of total)
ival-sqrt: 70.0ms (6.5% of total)
ival-add!: 38.0ms (3.6% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

preprocess70.0ms (1.5%)

Memory
-63.1MiB live, 51.8MiB allocated; 61ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075246
1269210
21240210
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Symmetry

(abs K)

(abs U)

(negabs J)

Compiler

Compiled 44 to 34 computations (22.7% saved)

series54.0ms (1.1%)

Memory
36.9MiB live, 83.9MiB allocated; 10ms 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:

TimeVariablePointExpression
13.0ms
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
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
@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))

rewrite185.0ms (3.9%)

Memory
-9.6MiB live, 218.7MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05254670
05434353
135514181
087704009
Stop Event
iter-limit
node-limit
iter-limit
Counts
105 → 195
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 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (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))))
(*.f64 (sqrt.f64 (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))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (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)))))
(*.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 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(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))
(pow.f64 (/.f64 #s(literal 2 binary64) K) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 K)) #s(literal 2 binary64))
(/.f64 (neg.f64 K) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) K)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(pow.f64 (sqrt.f64 (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(literal 1 binary64))
(pow.f64 (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(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (/.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (/.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 #s(literal 1 binary64) (pow.f64 (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(literal -1/2 binary64)))
(cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))))
(sqrt.f64 (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)))
(exp.f64 (*.f64 (log.f64 (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(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.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))
(*.f64 (*.f64 U U) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (/.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 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (/.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 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (/.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 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (/.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))))))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 U U) (/.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))))))
(fma.f64 (fabs.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))) (fabs.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))) (neg.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))) (exp.f64 (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))) #s(literal 1 binary64))
(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))
(fma.f64 (*.f64 U U) (/.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))) #s(literal 1 binary64))
(fma.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 1 binary64))
(+.f64 (*.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))
(+.f64 (*.f64 (*.f64 U U) (/.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)))) #s(literal 1 binary64))
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#s(literal 1 binary64)
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U
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(+.f64 J J)
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#s(approx J J)
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#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))))
#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 (*.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)))) (fma.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 -1/46080 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.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 (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 U U)) (*.f64 (fma.f64 (/.f64 (*.f64 U 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 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 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))) J)) #s(literal 1/12288 binary64))))) (*.f64 K K) (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) (*.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))) #s(literal -2 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))))
#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 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (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 (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 U U)) (*.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)))
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#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))
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#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))))
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#s(approx (* (* 2 J) (cos (/ K 2))) (+.f64 J J))
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#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)))
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#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
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#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 (*.f64 (*.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64))) #s(literal 1/64 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.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 (*.f64 (fma.f64 (*.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -5 binary64))) #s(literal -1/512 binary64) (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64)) #s(literal 1/64 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 (*.f64 (*.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 #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 (*.f64 (*.f64 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 #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 (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) #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 (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 (/.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)))) (neg.f64 (*.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) #s(literal -1 binary64)) U)))
#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) (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 (/.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)))))))

eval27.0ms (0.6%)

Memory
-10.0MiB live, 34.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 3 856 to 1 151 computations (70.2% saved)

prune10.0ms (0.2%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New17511186
Fresh000
Picked101
Done000
Total17611187
Accuracy
100.0%
Counts
187 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (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))))))) #s(literal 2 binary64)))))
75.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))))
63.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64)))))
37.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
44.9%
(*.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)))))
35.5%
(*.f64 #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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
30.4%
#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)))
52.9%
#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)))
15.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.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) #s(literal -1 binary64)) U)))
36.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
15.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 614 to 524 computations (14.7% saved)

series76.0ms (1.6%)

Memory
1.8MiB live, 102.7MiB allocated; 16ms collecting garbage
Counts
44 → 258
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(literal 1 binary64)
(/.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
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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(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)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.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) #s(literal -1 binary64)) U)))
(neg.f64 (*.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) #s(literal -1 binary64)) U))
(*.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) #s(literal -1 binary64)) 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) #s(literal -1 binary64))
(*.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)))
(/.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))
(+.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 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))
#s(literal -1 binary64)
Outputs
#s(approx (* (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
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#s(approx (cos (* 2 (* 1/2 K))) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/24 (* -1/720 (pow K 2)))) 1/2)))))
#s(approx (* 2 (* 1/2 K)) #s(hole binary64 K))
#s(approx (* (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (/ 1 (cos (* 1/2 K)))) #s(hole binary64 (cos (* 1/2 K))))
#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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)))))
#s(approx (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(hole binary64 (+ 1/2 (* 1/2 (cos K)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 K)))) #s(hole binary64 (* 1/2 (cos K))))
#s(approx (cos (* 2 (* 1/2 K))) #s(hole binary64 (cos K)))
#s(approx (* (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (+ (* -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 (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 (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) #s(hole binary64 (/ (- (pow U 2) (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) U)))
#s(approx (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U) #s(hole binary64 (/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) U)))
#s(approx (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) #s(hole binary64 (/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) (pow U 2))))
#s(approx (* (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (- (* -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 (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) #s(hole binary64 (* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))))))
#s(approx (* (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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)))))))))
#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 (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))))))))
Calls

9 calls:

TimeVariablePointExpression
18.0ms
J
@-inf
((* (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* -2 J) -2 J (/ 1 (/ 1 (cos (* 1/2 K)))) 1 (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* 2 J) 2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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) (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 (* (* (* -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) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U) (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U)) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* 1/2 (cos (* 2 (* 1/2 K)))) (cos (* 2 (* 1/2 K))) (* 2 (* 1/2 K)) -1)
9.0ms
U
@inf
((* (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* -2 J) -2 J (/ 1 (/ 1 (cos (* 1/2 K)))) 1 (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* 2 J) 2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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) (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 (* (* (* -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) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U) (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U)) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* 1/2 (cos (* 2 (* 1/2 K)))) (cos (* 2 (* 1/2 K))) (* 2 (* 1/2 K)) -1)
7.0ms
J
@0
((* (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* -2 J) -2 J (/ 1 (/ 1 (cos (* 1/2 K)))) 1 (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* 2 J) 2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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) (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 (* (* (* -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) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U) (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U)) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* 1/2 (cos (* 2 (* 1/2 K)))) (cos (* 2 (* 1/2 K))) (* 2 (* 1/2 K)) -1)
6.0ms
U
@0
((* (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* -2 J) -2 J (/ 1 (/ 1 (cos (* 1/2 K)))) 1 (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* 2 J) 2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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) (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 (* (* (* -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) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U) (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U)) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* 1/2 (cos (* 2 (* 1/2 K)))) (cos (* 2 (* 1/2 K))) (* 2 (* 1/2 K)) -1)
6.0ms
K
@inf
((* (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* -2 J) -2 J (/ 1 (/ 1 (cos (* 1/2 K)))) 1 (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* 2 J) 2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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) (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 (* (* (* -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) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U) (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U)) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* 1/2 (cos (* 2 (* 1/2 K)))) (cos (* 2 (* 1/2 K))) (* 2 (* 1/2 K)) -1)

rewrite231.0ms (4.8%)

Memory
12.6MiB live, 240.7MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111112151
0117410744
1731510504
0843910145
Stop Event
iter-limit
node-limit
iter-limit
Counts
302 → 473
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(literal 1 binary64)
(/.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
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
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(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)
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(*.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)
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(*.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)))
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(+.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)))))
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#s(approx (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx J #s(hole binary64 J))
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#s(approx (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
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#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 (* -1 U)))
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#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))))))))))
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#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)))
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#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))))))
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#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)))
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#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 (* (* (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 (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) #s(hole binary64 U))
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#s(approx (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) #s(hole binary64 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))))
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#s(approx (* (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
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#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 (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) #s(hole binary64 (* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))))))
#s(approx (* (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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)))))))))
#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 (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))))))))
Outputs
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))))))
(*.f64 (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))))) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)))))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(/.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 K #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (*.f64 K #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 K #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 K #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 K #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (*.f64 K #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 K #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 K #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 K #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) K)
(/.f64 (neg.f64 K) #s(literal -2 binary64))
(/.f64 K #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K))
#s(literal 1/2 binary64)
K
(pow.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(cosh.f64 (asinh.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 1 binary64))))
(cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64))))))
(neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 1 binary64)) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 U U) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 1 binary64))
(+.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 1 binary64)) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 1 binary64)))
(*.f64 (*.f64 U U) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)))
(*.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))))
(pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)))) #s(literal 2 binary64))))
(*.f64 U (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))))
(/.f64 (/.f64 U (+.f64 J J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))))
(/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) U))
U
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))
(*.f64 (+.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(/.f64 (*.f64 (+.f64 J J) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (+.f64 J J) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(fma.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(*.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)))) 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 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1/2 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 binary64) (*.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))
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(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1 binary64) K))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1 binary64) K)))
(cos.f64 (*.f64 #s(literal 1 binary64) K))
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(*.f64 (*.f64 K #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) K)
(fma.f64 K #s(literal 1/2 binary64) (*.f64 K #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) K (*.f64 K #s(literal 1/2 binary64)))
(+.f64 (*.f64 K #s(literal 1/2 binary64)) (*.f64 K #s(literal 1/2 binary64)))
#s(literal -1 binary64)
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#s(approx (* -2 J) (*.f64 J #s(literal -2 binary64)))
#s(approx J 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 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1 binary64)) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J))) #s(literal 1/1024 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U 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 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J))) #s(literal 1/1024 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1 binary64)))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) (*.f64 (*.f64 (*.f64 J J) (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)) #s(literal 2 binary64)))
#s(approx (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) (*.f64 (-.f64 (/.f64 U (*.f64 J J)) (*.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J)))
#s(approx (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U) (*.f64 (*.f64 (*.f64 J J) (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)) #s(literal -2 binary64)))
#s(approx (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U) (*.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U) #s(literal -2 binary64) (/.f64 (neg.f64 U) (*.f64 J J))) (*.f64 J J)))
#s(approx (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) (*.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J)) (*.f64 U U)) #s(literal -2 binary64)))
#s(approx (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) (*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 J J))) (*.f64 J J)))
#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 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) J)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (neg.f64 (*.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 2 binary64)) J)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (neg.f64 (*.f64 (+.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) #s(literal 2 binary64)) J)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J))) #s(literal 1/512 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) #s(literal 2 binary64)) J)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (neg.f64 (*.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) (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 U (/.f64 U (*.f64 J J))) (-.f64 (*.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))) J)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 U (/.f64 U (*.f64 J J))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J))) #s(literal -1/1024 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)) 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 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) (/.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 (*.f64 (*.f64 U (/.f64 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 (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 (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (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) (/ 1 (/ 1 (cos (* 1/2 K))))) (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 (/ 1 (cos (* 1/2 K)))) #s(literal 1 binary64))
#s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (/ 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 (/ 1 (/ 1 (cos (* 1/2 K)))) #s(literal 1 binary64))
#s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (* 1/2 K) (*.f64 K #s(literal 1/2 binary64)))
#s(approx K K)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.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)))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
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#s(approx (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 U (/.f64 U (*.f64 J J)))) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) #s(literal 1 binary64)))
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#s(approx (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))
#s(approx (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 U (/.f64 U (*.f64 J J)))) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))
#s(approx (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (fma.f64 (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 (*.f64 U (/.f64 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 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))
#s(approx (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (*.f64 (*.f64 U (/.f64 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 U (/.f64 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 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))
#s(approx (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
#s(approx (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) (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) (/ 1 (/ 1 (cos (* 1/2 K)))))) (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) (/ 1 (/ 1 (cos (* 1/2 K)))))) (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) (/ 1 (/ 1 (cos (* 1/2 K))))) (+.f64 J J))
#s(approx (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))
#s(approx (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (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) (/ 1 (/ 1 (cos (* 1/2 K))))) (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)))
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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))))
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#s(approx (* (* -2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (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) (/ 1 (/ 1 (cos (* 1/2 K))))) (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))
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#s(approx (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U) (fma.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 J J) (/.f64 (*.f64 K K) U)) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 J J) U))) (*.f64 K K) (*.f64 (/.f64 (*.f64 J J) U) #s(literal 1/2 binary64))) (*.f64 K K))))
#s(approx (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)))
#s(approx (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 K K) (*.f64 J J)) (*.f64 U U)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U))) #s(literal 1 binary64)))
#s(approx (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) (-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 K K) (*.f64 J J)) (*.f64 U U)) #s(literal -1/24 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J J)) (*.f64 U U))) (*.f64 K K) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U))) #s(literal 1 binary64)))
#s(approx (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) (-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 K K) (*.f64 J J)) (*.f64 U U)) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 J J)) (*.f64 U U))) (*.f64 K K) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J J)) (*.f64 U U))) (*.f64 K K) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U))) #s(literal 1 binary64)))
#s(approx (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/.f64 (*.f64 J J) (*.f64 U U)))
#s(approx (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (fma.f64 (/.f64 (*.f64 (*.f64 K K) (*.f64 J J)) (*.f64 U U)) #s(literal -1/4 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))
#s(approx (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 K K) (*.f64 J J)) (*.f64 U U)) #s(literal 1/48 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) (*.f64 U U))) (*.f64 K K) (/.f64 (*.f64 J J) (*.f64 U U))))
#s(approx (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 K K) (*.f64 J J)) (*.f64 U U)) #s(literal -1/1440 binary64) (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 U U))) (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) (*.f64 U U))) (*.f64 K K) (/.f64 (*.f64 J J) (*.f64 U U))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U)) (fma.f64 (/.f64 (*.f64 K K) (*.f64 U U)) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 U U))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U)) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 K K)) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 K K) (/.f64 #s(literal 1 binary64) (*.f64 U U))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U)) (fma.f64 (-.f64 (*.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 K K) (*.f64 U U)) #s(literal -1/1440 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 U U)))) (/.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 K K) (/.f64 #s(literal 1 binary64) (*.f64 U U))))
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#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 K K) #s(literal 1/48 binary64)) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 K)))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 (* 1/2 K)))) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 K)))) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 K)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 K K) #s(literal 1/48 binary64)) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 (* 1/2 K))) #s(literal 1 binary64))
#s(approx (cos (* 2 (* 1/2 K))) (fma.f64 #s(literal -1/2 binary64) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* 2 (* 1/2 K))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 K K) #s(literal -1/2 binary64)) (*.f64 K K) #s(literal 1 binary64)))
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#s(approx (* 2 (* 1/2 K)) K)
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#s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(approx (/ 1 (cos (* 1/2 K))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
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#s(approx (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U) (*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J)) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U)) (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 U U)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 K)))) (*.f64 (cos.f64 K) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 (* 1/2 K))) (cos.f64 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 K #s(literal 1/2 binary64))) J)) #s(literal -1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #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)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #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)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 5 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 3 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (fma.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 6 binary64))) #s(literal 1/1024 binary64)) (/.f64 #s(literal 1/128 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 4 binary64)))) (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.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)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) #s(literal -1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #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)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #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)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 5 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 3 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 (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 (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) (/.f64 (fma.f64 U U (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J)))) U))
#s(approx (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U) (/.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J)) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U))
#s(approx (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J)) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 U U)) (*.f64 J J)) #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 (*.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 4 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64))) #s(literal 1 binary64)) U))
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#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 K #s(literal 1/2 binary64))) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 3 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))))) U))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J))) (/.f64 #s(literal 1 binary64) (*.f64 U U))) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 U U)) (*.f64 J J)) #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 (*.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) (-.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 (fma.f64 (/.f64 (*.f64 J J) (*.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 (/.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 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64) (/.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) (*.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 (/.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #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 (/.f64 (pow.f64 J #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #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) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) (*.f64 U U)))
#s(approx (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) (*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J)) (*.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)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) (-.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (*.f64 (neg.f64 U) (fma.f64 J (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (*.f64 (neg.f64 U) (+.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 3 binary64)) (*.f64 (*.f64 U U) (*.f64 U U)))) (fma.f64 J (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (*.f64 (neg.f64 U) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 K #s(literal 1/2 binary64))) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 3 binary64)) (*.f64 (*.f64 U U) (*.f64 U 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 (fma.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) (-.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 U U)) (*.f64 J J)) #s(literal -2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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) (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) -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) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64) (/.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) (*.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 (/.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #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 (/.f64 (pow.f64 J #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #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 (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J)) (*.f64 U U)) #s(literal 2 binary64) #s(literal 1 binary64))))

eval81.0ms (1.7%)

Memory
4.3MiB live, 104.6MiB allocated; 44ms collecting garbage
Compiler

Compiled 7 898 to 2 755 computations (65.1% saved)

prune41.0ms (0.9%)

Memory
-6.1MiB live, 39.7MiB allocated; 4ms collecting garbage
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New41218430
Fresh516
Picked325
Done000
Total42021441
Accuracy
100.0%
Counts
441 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.7%
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))))
75.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (*.f64 K #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 (sin.f64 (*.f64 K #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)))))
52.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(literal 1 binary64)))
35.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #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))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #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(literal 2 binary64)))))
37.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
44.9%
#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 J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
21.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) (*.f64 U U)))) J) #s(literal -2 binary64)))
52.9%
#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)))
27.2%
#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 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)) J) #s(literal -2 binary64)))
28.9%
#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 (/.f64 U J) #s(literal 1/2 binary64))) J) #s(literal -2 binary64)))
12.0%
#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)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) J) #s(literal -2 binary64)))
25.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (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)))
26.8%
#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)))
24.7%
#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 (*.f64 K K) J) #s(literal 1/384 binary64) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J)) #s(literal -2 binary64)))
24.9%
#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)))
25.0%
#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 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J)) #s(literal -2 binary64)))
15.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 #s(approx (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
36.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
34.6%
#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) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
15.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) (-.f64 (*.f64 (*.f64 (*.f64 J J) (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)) #s(literal 2 binary64)) (neg.f64 U))))
15.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 1 334 to 1 198 computations (10.2% saved)

series59.0ms (1.2%)

Memory
2.7MiB live, 93.8MiB allocated; 8ms collecting garbage
Counts
49 → 257
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))))
(/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.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(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)))) #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)
#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 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)) J) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)) J) #s(literal -2 binary64))
(*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)) J)
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J))
(/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)
(fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) 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)))
(*.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 (* (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))
(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)
(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)
(fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/46080 binary64) (*.f64 #s(literal 1/384 binary64) J))
(*.f64 (*.f64 K K) J)
#s(literal -1/46080 binary64)
(*.f64 #s(literal 1/384 binary64) J)
#s(literal 1/384 binary64)
(*.f64 #s(literal -1/8 binary64) J)
#s(literal -1/8 binary64)
Outputs
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (/ (* J -2) (/ 1 (cos (* K 1/2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* J -2) #s(hole binary64 (* -2 J)))
#s(approx J #s(hole binary64 J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) #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 (* -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 (* (* (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) #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 (/ (+ (* U 1/2) (/ (* J J) U)) J) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (/ (+ (* U 1/2) (/ (* J J) U)) J) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (+ (* U 1/2) (/ (* J J) U)) #s(hole binary64 (* 1/2 U)))
#s(approx (+ (* U 1/2) (/ (* J J) U)) #s(hole binary64 (+ (* 1/2 U) (/ (pow J 2) U))))
#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 (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) #s(hole binary64 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
#s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) #s(hole binary64 (* J (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))
#s(approx (+ (* (* (* K K) J) -1/46080) (* 1/384 J)) #s(hole binary64 (* J (+ 1/384 (* -1/46080 (pow K 2))))))
#s(approx (* (* K K) J) #s(hole binary64 (* J (pow K 2))))
#s(approx (* 1/384 J) #s(hole binary64 (* 1/384 J)))
#s(approx (* -1/8 J) #s(hole binary64 (* -1/8 J)))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (* -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))
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#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 (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) #s(hole binary64 J))
#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) #s(hole binary64 (+ J (* -1/8 (* J (pow K 2))))))
#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))))
#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K 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 (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) #s(hole binary64 (* -1/8 J)))
#s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) #s(hole binary64 (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
#s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) #s(hole binary64 (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
#s(approx (* K K) #s(hole binary64 (pow K 2)))
#s(approx (+ (* (* (* K K) J) -1/46080) (* 1/384 J)) #s(hole binary64 (* 1/384 J)))
#s(approx (+ (* (* (* K K) J) -1/46080) (* 1/384 J)) #s(hole binary64 (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (* K 1/2))) #s(hole binary64 (/ 1 (cos (* 1/2 K)))))
#s(approx (cos (* K 1/2)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) #s(hole binary64 (cos (* 1/2 K))))
#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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) #s(hole binary64 (* -1/46080 (* J (pow K 6)))))
#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) #s(hole binary64 (* (pow K 6) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2)))))))
#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) #s(hole binary64 (* (pow K 6) (+ (* -1/8 (/ J (pow K 4))) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2))))))))
#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) #s(hole binary64 (* (pow K 6) (+ (* -1/8 (/ J (pow K 4))) (+ (* -1/46080 J) (+ (* 1/384 (/ J (pow K 2))) (/ J (pow K 6))))))))
#s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) #s(hole binary64 (* -1/46080 (* J (pow K 4)))))
#s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) #s(hole binary64 (* (pow K 4) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2)))))))
#s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) #s(hole binary64 (* (pow K 4) (+ (* -1/8 (/ J (pow K 4))) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2))))))))
#s(approx (+ (* (* (* K K) J) -1/46080) (* 1/384 J)) #s(hole binary64 (* -1/46080 (* J (pow K 2)))))
#s(approx (+ (* (* (* K K) J) -1/46080) (* 1/384 J)) #s(hole binary64 (* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2)))))))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (+ (* -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 (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 (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) 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 (/ (+ (* U 1/2) (/ (* J J) U)) J) #s(hole binary64 (/ (+ J (* 1/2 (/ (pow U 2) J))) U)))
#s(approx (+ (* U 1/2) (/ (* J J) U)) #s(hole binary64 (/ (+ (* 1/2 (pow U 2)) (pow J 2)) U)))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (- (* -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 (/ (+ (* U 1/2) (/ (* J J) U)) J) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (+ (* U 1/2) (/ (* J J) U)) #s(hole binary64 (* U (+ 1/2 (/ (pow J 2) (pow U 2))))))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 U))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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)))))))))
#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))
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#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)))))
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#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 (/ (+ (* U 1/2) (/ (* J J) U)) J) #s(hole binary64 (* -1 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J)))))))
#s(approx (+ (* U 1/2) (/ (* J J) U)) #s(hole binary64 (* -1 (* U (- (* -1 (/ (pow J 2) (pow U 2))) 1/2)))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
J
@-inf
((* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) (/ (* J -2) (/ 1 (cos (* K 1/2)))) (* J -2) J -2 (/ 1 (cos (* K 1/2))) 1 (cos (* K 1/2)) (* K 1/2) K 1/2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* 2 J) 2 (/ 1 (/ 1 (cos (* 1/2 K)))) (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) (* (* (* -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) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (* J 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)) (/ (+ (* U 1/2) (/ (* J J) U)) J) (+ (* U 1/2) (/ (* J J) U)) (* (* (* -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) (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J)) (* (* K K) J) -1/46080 (* 1/384 J) 1/384 (* -1/8 J) -1/8)
7.0ms
U
@inf
((* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) (/ (* J -2) (/ 1 (cos (* K 1/2)))) (* J -2) J -2 (/ 1 (cos (* K 1/2))) 1 (cos (* K 1/2)) (* K 1/2) K 1/2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* 2 J) 2 (/ 1 (/ 1 (cos (* 1/2 K)))) (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) (* (* (* -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) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (* J 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)) (/ (+ (* U 1/2) (/ (* J J) U)) J) (+ (* U 1/2) (/ (* J J) U)) (* (* (* -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) (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J)) (* (* K K) J) -1/46080 (* 1/384 J) 1/384 (* -1/8 J) -1/8)
7.0ms
J
@inf
((* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) (/ (* J -2) (/ 1 (cos (* K 1/2)))) (* J -2) J -2 (/ 1 (cos (* K 1/2))) 1 (cos (* K 1/2)) (* K 1/2) K 1/2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* 2 J) 2 (/ 1 (/ 1 (cos (* 1/2 K)))) (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) (* (* (* -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) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (* J 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)) (/ (+ (* U 1/2) (/ (* J J) U)) J) (+ (* U 1/2) (/ (* J J) U)) (* (* (* -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) (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J)) (* (* K K) J) -1/46080 (* 1/384 J) 1/384 (* -1/8 J) -1/8)
6.0ms
J
@0
((* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) (/ (* J -2) (/ 1 (cos (* K 1/2)))) (* J -2) J -2 (/ 1 (cos (* K 1/2))) 1 (cos (* K 1/2)) (* K 1/2) K 1/2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* 2 J) 2 (/ 1 (/ 1 (cos (* 1/2 K)))) (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) (* (* (* -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) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (* J 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)) (/ (+ (* U 1/2) (/ (* J J) U)) J) (+ (* U 1/2) (/ (* J J) U)) (* (* (* -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) (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J)) (* (* K K) J) -1/46080 (* 1/384 J) 1/384 (* -1/8 J) -1/8)
5.0ms
K
@inf
((* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) (/ (* J -2) (/ 1 (cos (* K 1/2)))) (* J -2) J -2 (/ 1 (cos (* K 1/2))) 1 (cos (* K 1/2)) (* K 1/2) K 1/2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* 2 J) 2 (/ 1 (/ 1 (cos (* 1/2 K)))) (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) (* (* (* -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) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (* J 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)) (/ (+ (* U 1/2) (/ (* J J) U)) J) (+ (* U 1/2) (/ (* J J) U)) (* (* (* -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) (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J)) (* (* K K) J) -1/46080 (* 1/384 J) 1/384 (* -1/8 J) -1/8)

rewrite233.0ms (4.9%)

Memory
-11.6MiB live, 316.2MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105011469
0110410542
1658910276
085889824
Stop Event
iter-limit
node-limit
iter-limit
Counts
306 → 503
Calls
Call 1
Inputs
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(/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
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U
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#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))))))))))))))))))
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#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 (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) #s(hole binary64 J))
#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) #s(hole binary64 (+ J (* -1/8 (* J (pow K 2))))))
#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))))
#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K 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 (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) #s(hole binary64 (* -1/8 J)))
#s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) #s(hole binary64 (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
#s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) #s(hole binary64 (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
#s(approx (* K K) #s(hole binary64 (pow K 2)))
#s(approx (+ (* (* (* K K) J) -1/46080) (* 1/384 J)) #s(hole binary64 (* 1/384 J)))
#s(approx (+ (* (* (* K K) J) -1/46080) (* 1/384 J)) #s(hole binary64 (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (* K 1/2))) #s(hole binary64 (/ 1 (cos (* 1/2 K)))))
#s(approx (cos (* K 1/2)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) #s(hole binary64 (cos (* 1/2 K))))
#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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
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#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) #s(hole binary64 (* (pow K 6) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2)))))))
#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) #s(hole binary64 (* (pow K 6) (+ (* -1/8 (/ J (pow K 4))) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2))))))))
#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) #s(hole binary64 (* (pow K 6) (+ (* -1/8 (/ J (pow K 4))) (+ (* -1/46080 J) (+ (* 1/384 (/ J (pow K 2))) (/ J (pow K 6))))))))
#s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) #s(hole binary64 (* -1/46080 (* J (pow K 4)))))
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#s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) #s(hole binary64 (* (pow K 4) (+ (* -1/8 (/ J (pow K 4))) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2))))))))
#s(approx (+ (* (* (* K K) J) -1/46080) (* 1/384 J)) #s(hole binary64 (* -1/46080 (* J (pow K 2)))))
#s(approx (+ (* (* (* K K) J) -1/46080) (* 1/384 J)) #s(hole binary64 (* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2)))))))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (+ (* -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 (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)))))))
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#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 1/2) (/ (* J J) U)) J) #s(hole binary64 (/ (+ J (* 1/2 (/ (pow U 2) J))) U)))
#s(approx (+ (* U 1/2) (/ (* J J) U)) #s(hole binary64 (/ (+ (* 1/2 (pow U 2)) (pow J 2)) U)))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
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#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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)))))))
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#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 1/2) (/ (* J J) U)) J) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (+ (* U 1/2) (/ (* J J) U)) #s(hole binary64 (* U (+ 1/2 (/ (pow J 2) (pow U 2))))))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 U))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (* (/ (* J -2) (/ 1 (cos (* K 1/2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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)))))))))
#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 (/ (+ (* U 1/2) (/ (* J J) U)) J) #s(hole binary64 (* -1 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J)))))))
#s(approx (+ (* U 1/2) (/ (* J J) U)) #s(hole binary64 (* -1 (* U (- (* -1 (/ (pow J 2) (pow U 2))) 1/2)))))
Outputs
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))
(*.f64 (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.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 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (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 J (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) J)) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
(/.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)))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(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) (/.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 (*.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))
(/.f64 (neg.f64 K) #s(literal -2 binary64))
(/.f64 K #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K))
K
#s(literal 1/2 binary64)
(pow.f64 (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))) #s(literal 1 binary64))
(pow.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(cosh.f64 (asinh.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 1 binary64))))
(cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64)) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64)) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64))))))
(neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 1 binary64)) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 U U) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 1 binary64))
(+.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 1 binary64)) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 1 binary64)))
(*.f64 (*.f64 U U) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64)))
(*.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))
(pow.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))) #s(literal 2 binary64))))
(*.f64 U (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))
(/.f64 (/.f64 U (+.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))
(/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)) U))
U
(*.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 J))
(*.f64 (+.f64 J J) (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 (*.f64 (+.f64 J J) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (+.f64 J J) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(fma.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
(+.f64 J J)
#s(literal 2 binary64)
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(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) (/.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 (*.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 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
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#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 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #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 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #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 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)))) #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 (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal -2 binary64) J))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/4 binary64) #s(literal -2 binary64)) J))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/4 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal 1/64 binary64)) #s(literal 2 binary64))) J))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J))) #s(literal -1/512 binary64) (*.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal 1/64 binary64)))) #s(literal 2 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 (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) J)
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/8 binary64) #s(literal 1 binary64)) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1 binary64)) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J))) #s(literal 1/1024 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U 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 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J))) #s(literal 1/1024 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1 binary64)))
#s(approx (/ (+ (* U 1/2) (/ (* J J) U)) J) (/.f64 J U))
#s(approx (/ (+ (* U 1/2) (/ (* J J) U)) J) (*.f64 (fma.f64 (/.f64 U (*.f64 J J)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) U)) J))
#s(approx (+ (* U 1/2) (/ (* J J) U)) (/.f64 (*.f64 J J) U))
#s(approx (+ (* U 1/2) (/ (* J J) U)) (*.f64 (*.f64 J 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)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #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 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #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)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #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 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #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 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #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)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #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) (neg.f64 (*.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 2 binary64)) J)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (neg.f64 (*.f64 (+.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 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 2 binary64)) J)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J))) #s(literal 1/512 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 2 binary64)) J)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (neg.f64 (*.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/8 binary64) #s(literal -1 binary64)) J)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (neg.f64 (*.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/8 binary64) (-.f64 (*.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))) J)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J))) #s(literal -1/1024 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)) J)))
#s(approx (/ (+ (* U 1/2) (/ (* J J) U)) J) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J J))) (/.f64 #s(literal 1 binary64) U)) J)))
#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) (neg.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/46080 binary64) (*.f64 K K) #s(literal -1/384 binary64)) (*.f64 K K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal -1 binary64)) J)))
#s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/46080 binary64) (*.f64 K K) #s(literal -1/384 binary64)) (*.f64 K K) #s(literal 1/8 binary64)) J)))
#s(approx (+ (* (* (* K K) J) -1/46080) (* 1/384 J)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/46080 binary64) (*.f64 K K) #s(literal -1/384 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 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 (*.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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -1/8 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 (*.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 (*.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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -1/8 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 (*.f64 (*.f64 U (/.f64 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 (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 (*.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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -1/8 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 #s(literal -2 binary64) J))
#s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J)))
#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 #s(literal -2 binary64) J)))
#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 #s(literal -2 binary64) J)))
#s(approx (/ 1 (cos (* 1/2 K))) #s(literal 1 binary64))
#s(approx (/ 1 (cos (* 1/2 K))) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #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 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (* 1/2 K) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.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)))) (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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (*.f64 (*.f64 U (/.f64 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 (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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 U (/.f64 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (+.f64 (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 (*.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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (*.f64 (*.f64 U (/.f64 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 U (/.f64 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))
#s(approx (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 U (/.f64 U (*.f64 J J)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))
#s(approx (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (*.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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (*.f64 (*.f64 U (/.f64 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 U (/.f64 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
#s(approx (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) (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) (/ 1 (/ 1 (cos (* 1/2 K)))))) (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) (/ 1 (/ 1 (cos (* 1/2 K)))))) (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 #s(literal 1/16 binary64) (/.f64 U J))) (*.f64 K K))))
#s(approx (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (+.f64 J J))
#s(approx (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) J) (+.f64 J J)))
#s(approx (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (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 J)))
#s(approx (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (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 (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 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (/ 1 (cos (* 1/2 K))) #s(literal 1 binary64))
#s(approx (/ 1 (cos (* 1/2 K))) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #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 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (* 1/2 K) (*.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 (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 (*.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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -1/8 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 (*.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 (*.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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -1/8 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 (*.f64 (*.f64 U (/.f64 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 (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 (*.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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -1/8 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 #s(literal -2 binary64) J))
#s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J)))
#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 #s(literal -2 binary64) J)))
#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 #s(literal -2 binary64) J)))
#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 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 K K) (*.f64 #s(literal 1/384 binary64) J)) (*.f64 #s(literal -1/8 binary64) J)) K) K J))
#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) J)
#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J))
#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K 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 (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) (fma.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 K K) (*.f64 #s(literal 1/384 binary64) J)) (*.f64 #s(literal -1/8 binary64) J)) K) K J))
#s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (*.f64 #s(literal -1/8 binary64) J))
#s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/384 binary64) (*.f64 #s(literal -1/8 binary64) J)))
#s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 K K) (*.f64 #s(literal 1/384 binary64) J)) (*.f64 #s(literal -1/8 binary64) J)))
#s(approx (* K K) (*.f64 K K))
#s(approx (+ (* (* (* K K) J) -1/46080) (* 1/384 J)) (*.f64 #s(literal 1/384 binary64) J))
#s(approx (+ (* (* (* K K) J) -1/46080) (* 1/384 J)) (fma.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 K K) (*.f64 #s(literal 1/384 binary64) 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 (/ 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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (cos (* 1/2 K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#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)))) (*.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 (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) (*.f64 (*.f64 (pow.f64 K #s(literal 6 binary64)) J) #s(literal -1/46080 binary64)))
#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) (*.f64 (fma.f64 (/.f64 J (*.f64 K K)) #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) J)) (pow.f64 K #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) (*.f64 (fma.f64 (/.f64 J (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal -1/8 binary64) (fma.f64 (/.f64 J (*.f64 K K)) #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) J))) (pow.f64 K #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (* K K)) J) (*.f64 (fma.f64 (/.f64 J (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/46080 binary64) J (fma.f64 (/.f64 J (*.f64 K K)) #s(literal 1/384 binary64) (/.f64 J (pow.f64 K #s(literal 6 binary64)))))) (pow.f64 K #s(literal 6 binary64))))
#s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (*.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) J) #s(literal -1/46080 binary64)))
#s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (fma.f64 (/.f64 J (*.f64 K K)) #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) J))))
#s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (*.f64 (fma.f64 (/.f64 J (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal -1/8 binary64) (fma.f64 (/.f64 J (*.f64 K K)) #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) J))) (*.f64 (*.f64 K K) (*.f64 K K))))
#s(approx (+ (* (* (* K K) J) -1/46080) (* 1/384 J)) (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/46080 binary64)))
#s(approx (+ (* (* (* K K) J) -1/46080) (* 1/384 J)) (*.f64 (fma.f64 (/.f64 J (*.f64 K K)) #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) J)) (*.f64 K 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 (*.f64 (*.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64))) #s(literal 1/64 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.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 (*.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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (fma.f64 (fma.f64 (*.f64 (*.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 #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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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)))) (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 (*.f64 (*.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64))) #s(literal 1/64 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.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 (*.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 (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 #s(literal -2 binary64) J)))
#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 #s(literal -2 binary64) J)))
#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 #s(literal -2 binary64) 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 (* (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 1/2) (/ (* J J) U)) J) (/.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/2 binary64) J) U))
#s(approx (+ (* U 1/2) (/ (* J J) U)) (/.f64 (fma.f64 (*.f64 U U) #s(literal 1/2 binary64) (*.f64 J J)) 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) #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 (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 (/.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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.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(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) #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 (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 (/.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 (fma.f64 (/.f64 (*.f64 J J) (*.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 (/.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 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #s(literal -4 binary64) (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 (+ (* (/ (* J J) U) -2) (neg U)) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.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 (/.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #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 (/.f64 (pow.f64 J #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #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 1/2) (/ (* J J) U)) J) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (+ (* U 1/2) (/ (* J J) U)) (*.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64)) 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)))) (neg.f64 (*.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) #s(literal -1 binary64)) U)))
#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) (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 (/.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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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)))))))
#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 (*.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) #s(literal -1 binary64)) U)))
#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) (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 (/.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) (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) -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) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #s(literal -4 binary64) (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 (+ (* (/ (* 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 (/.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #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 (/.f64 (pow.f64 J #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #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 (/ (+ (* U 1/2) (/ (* J J) U)) J) (*.f64 (neg.f64 U) (-.f64 (neg.f64 (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1/2 binary64) J))))
#s(approx (+ (* U 1/2) (/ (* J J) U)) (*.f64 (neg.f64 U) (-.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1/2 binary64))))

eval76.0ms (1.6%)

Memory
5.3MiB live, 106.6MiB allocated; 16ms collecting garbage
Compiler

Compiled 6 928 to 2 304 computations (66.7% saved)

prune27.0ms (0.6%)

Memory
7.6MiB live, 54.2MiB allocated; 3ms collecting garbage
Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New38511396
Fresh31114
Picked415
Done022
Total39225417
Accuracy
100.0%
Counts
417 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1 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))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))))
52.8%
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(literal 1 binary64)))
75.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))))
35.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #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))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #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(literal 2 binary64)))))
37.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
44.9%
#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 J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
21.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) (*.f64 U U)))) J) #s(literal -2 binary64)))
52.9%
#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)))
27.2%
#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 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U)) J)) J) #s(literal -2 binary64)))
27.1%
#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 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 binary64) J))) J) #s(literal -2 binary64)))
12.0%
#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)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) J) #s(literal -2 binary64)))
4.3%
#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 (/ (+ (* U 1/2) (/ (* J J) U)) J) (/.f64 J U))) J) #s(literal -2 binary64)))
25.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (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)))
26.8%
#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)))
24.7%
#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 (*.f64 K K) J) #s(literal 1/384 binary64) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J)) #s(literal -2 binary64)))
25.0%
#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 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J)) #s(literal -2 binary64)))
24.9%
#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 #s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (*.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) J)) (*.f64 K K) J)) #s(literal -2 binary64)))
15.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 #s(approx (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
36.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
34.6%
#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) (fma.f64 (/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U) #s(literal -2 binary64) (neg.f64 U))))
34.6%
#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) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J J))) #s(literal -2 binary64) (neg.f64 U))))
36.8%
#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))))
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)))))
15.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) (-.f64 (*.f64 (*.f64 (*.f64 J J) (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)) #s(literal 2 binary64)) (neg.f64 U))))
15.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 1 643 to 1 501 computations (8.6% saved)

series195.0ms (4.1%)

Memory
9.8MiB live, 200.4MiB allocated; 35ms collecting garbage
Counts
50 → 247
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J)))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -2 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
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
(/.f64 #s(literal 1 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 #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)))) (*.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J)) #s(literal -2 binary64)))
(*.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J)) #s(literal -2 binary64))
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J))
(fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J)
(*.f64 (*.f64 K K) J)
(*.f64 K K)
#s(literal -1/8 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 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 binary64) J))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 binary64) J))) J) #s(literal -2 binary64))
(*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 binary64) J))) J)
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 binary64) J)))
(*.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 binary64) J))
(fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U))
(/.f64 (*.f64 J J) U)
(*.f64 J J)
(/.f64 #s(literal 1 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 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U)) J)) J) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U)) J)) J) #s(literal -2 binary64))
(*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U)) J)) J)
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U)) J))
(/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U)) J)
(fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U))
(/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U)
(exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64)))
(*.f64 (log.f64 J) #s(literal 2 binary64))
(log.f64 J)
Outputs
#s(approx (* (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (* (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (/ (/ 1 (cos (* 1/2 K))) (* -2 J)) #s(hole binary64 (/ -1/2 (* 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) #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 (* -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 (* (* (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 (* (* (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 (+ (* (* (* K K) J) -1/8) J) #s(hole binary64 (* J (+ 1 (* -1/8 (pow K 2))))))
#s(approx (* (* K K) J) #s(hole binary64 (* J (pow K 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)))
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#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)))))
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#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 (* (+ (* U 1/2) (/ (* J J) U)) (/ 1 J)) #s(hole binary64 (* -1 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J)))))))
#s(approx (+ (* U 1/2) (/ (* J J) U)) #s(hole binary64 (* -1 (* U (- (* -1 (/ (pow J 2) (pow U 2))) 1/2)))))
#s(approx (/ (+ (* U 1/2) (/ (exp (* (log J) 2)) U)) J) #s(hole binary64 (* -1 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J)))))))
#s(approx (+ (* U 1/2) (/ (exp (* (log J) 2)) U)) #s(hole binary64 (* -1 (* U (- (* -1 (/ (pow J 2) (pow U 2))) 1/2)))))
Calls

9 calls:

TimeVariablePointExpression
64.0ms
J
@-inf
((* (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J)) (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 K (* -2 J) -2 J (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* 2 J) 2 (/ 1 (/ 1 (cos (* 1/2 K)))) (* (* (* -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)))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (+ (* (* (* K K) J) -1/8) J) (* (* K K) J) (* K K) -1/8 (* (* (* -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 1/2) (/ (* J J) U)) (/ 1 J)) (+ (* U 1/2) (/ (* J J) U)) (/ (* J J) U) (* J J) (/ 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) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/ (+ (* U 1/2) (/ (exp (* (log J) 2)) U)) J) (+ (* U 1/2) (/ (exp (* (log J) 2)) U)) (/ (exp (* (log J) 2)) U) (exp (* (log J) 2)) (* (log J) 2) (log J))
51.0ms
J
@inf
((* (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J)) (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 K (* -2 J) -2 J (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* 2 J) 2 (/ 1 (/ 1 (cos (* 1/2 K)))) (* (* (* -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)))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (+ (* (* (* K K) J) -1/8) J) (* (* K K) J) (* K K) -1/8 (* (* (* -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 1/2) (/ (* J J) U)) (/ 1 J)) (+ (* U 1/2) (/ (* J J) U)) (/ (* J J) U) (* J J) (/ 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) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/ (+ (* U 1/2) (/ (exp (* (log J) 2)) U)) J) (+ (* U 1/2) (/ (exp (* (log J) 2)) U)) (/ (exp (* (log J) 2)) U) (exp (* (log J) 2)) (* (log J) 2) (log J))
37.0ms
J
@0
((* (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J)) (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 K (* -2 J) -2 J (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* 2 J) 2 (/ 1 (/ 1 (cos (* 1/2 K)))) (* (* (* -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)))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (+ (* (* (* K K) J) -1/8) J) (* (* K K) J) (* K K) -1/8 (* (* (* -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 1/2) (/ (* J J) U)) (/ 1 J)) (+ (* U 1/2) (/ (* J J) U)) (/ (* J J) U) (* J J) (/ 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) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/ (+ (* U 1/2) (/ (exp (* (log J) 2)) U)) J) (+ (* U 1/2) (/ (exp (* (log J) 2)) U)) (/ (exp (* (log J) 2)) U) (exp (* (log J) 2)) (* (log J) 2) (log J))
15.0ms
U
@inf
((* (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J)) (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 K (* -2 J) -2 J (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* 2 J) 2 (/ 1 (/ 1 (cos (* 1/2 K)))) (* (* (* -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)))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (+ (* (* (* K K) J) -1/8) J) (* (* K K) J) (* K K) -1/8 (* (* (* -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 1/2) (/ (* J J) U)) (/ 1 J)) (+ (* U 1/2) (/ (* J J) U)) (/ (* J J) U) (* J J) (/ 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) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/ (+ (* U 1/2) (/ (exp (* (log J) 2)) U)) J) (+ (* U 1/2) (/ (exp (* (log J) 2)) U)) (/ (exp (* (log J) 2)) U) (exp (* (log J) 2)) (* (log J) 2) (log J))
4.0ms
K
@-inf
((* (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J)) (/ 1 (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 K (* -2 J) -2 J (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (* 2 J) 2 (/ 1 (/ 1 (cos (* 1/2 K)))) (* (* (* -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)))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (+ (* (* (* K K) J) -1/8) J) (* (* K K) J) (* K K) -1/8 (* (* (* -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 1/2) (/ (* J J) U)) (/ 1 J)) (+ (* U 1/2) (/ (* J J) U)) (/ (* J J) U) (* J J) (/ 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) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/ (+ (* U 1/2) (/ (exp (* (log J) 2)) U)) J) (+ (* U 1/2) (/ (exp (* (log J) 2)) U)) (/ (exp (* (log J) 2)) U) (exp (* (log J) 2)) (* (log J) 2) (log J))

rewrite258.0ms (5.4%)

Memory
7.2MiB live, 342.0MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102411175
0107810094
163959827
084699396
Stop Event
iter-limit
node-limit
iter-limit
Counts
297 → 498
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J)))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -2 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
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
(/.f64 #s(literal 1 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 #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)))) (*.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J)) #s(literal -2 binary64)))
(*.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J)) #s(literal -2 binary64))
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J))
(fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J)
(*.f64 (*.f64 K K) J)
(*.f64 K K)
#s(literal -1/8 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 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 binary64) J))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 binary64) J))) J) #s(literal -2 binary64))
(*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 binary64) J))) J)
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 binary64) J)))
(*.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 binary64) J))
(fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U))
(/.f64 (*.f64 J J) U)
(*.f64 J J)
(/.f64 #s(literal 1 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 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U)) J)) J) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U)) J)) J) #s(literal -2 binary64))
(*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U)) J)) J)
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U)) J))
(/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U)) J)
(fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U))
(/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U)
(exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64)))
(*.f64 (log.f64 J) #s(literal 2 binary64))
(log.f64 J)
#s(approx (* (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (* (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (/ (/ 1 (cos (* 1/2 K))) (* -2 J)) #s(hole binary64 (/ -1/2 (* J (cos (* 1/2 K))))))
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#s(approx (+ (* (* (* K K) J) -1/8) J) #s(hole binary64 J))
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#s(approx (+ (* (* (* K K) J) -1/8) J) #s(hole binary64 (* -1/8 (* J (pow K 2)))))
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#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))))))))))
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#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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))))))))
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#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 1/2) (/ (* J J) U)) (/ 1 J)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (+ (* U 1/2) (/ (* J J) U)) #s(hole binary64 (* U (+ 1/2 (/ (pow J 2) (pow U 2))))))
#s(approx (/ (+ (* U 1/2) (/ (exp (* (log J) 2)) U)) J) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (+ (* U 1/2) (/ (exp (* (log J) 2)) U)) #s(hole binary64 (* U (+ 1/2 (/ (pow J 2) (pow U 2))))))
#s(approx (* (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 U))
#s(approx (* (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (* (/ 1 (/ (/ 1 (cos (* 1/2 K))) (* -2 J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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)))))))))
#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 (* (+ (* U 1/2) (/ (* J J) U)) (/ 1 J)) #s(hole binary64 (* -1 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J)))))))
#s(approx (+ (* U 1/2) (/ (* J J) U)) #s(hole binary64 (* -1 (* U (- (* -1 (/ (pow J 2) (pow U 2))) 1/2)))))
#s(approx (/ (+ (* U 1/2) (/ (exp (* (log J) 2)) U)) J) #s(hole binary64 (* -1 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J)))))))
#s(approx (+ (* U 1/2) (/ (exp (* (log J) 2)) U)) #s(hole binary64 (* -1 (* U (- (* -1 (/ (pow J 2) (pow U 2))) 1/2)))))
Outputs
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))))))
(*.f64 (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))))) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal -2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) J)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (neg.f64 (*.f64 J #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 K #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (*.f64 K #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 K #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 K #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 K #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) K)
(/.f64 (neg.f64 K) #s(literal -2 binary64))
(/.f64 K #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K))
#s(literal 1/2 binary64)
K
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(pow.f64 (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))))) #s(literal 1 binary64))
(pow.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(cosh.f64 (asinh.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 1 binary64))))
(cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64))))))
(neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 1 binary64)) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 U U) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 1 binary64))
(+.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 1 binary64)) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 1 binary64)))
(*.f64 (*.f64 U U) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)))
(*.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))))
(pow.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)))) #s(literal 2 binary64))))
(*.f64 U (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))))
(/.f64 (/.f64 U (+.f64 J J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))))
(/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) U))
U
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J))
(*.f64 (+.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(/.f64 (*.f64 (+.f64 J J) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (+.f64 J J) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(fma.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
(+.f64 J J)
#s(literal 2 binary64)
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -1 binary64))
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#s(approx (log J) (log.f64 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 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/8 binary64) #s(literal 1 binary64)) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1 binary64)) J))
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#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(literal 1 binary64))
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#s(approx (log J) (neg.f64 (neg.f64 (log.f64 J))))
#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 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) J)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (neg.f64 (*.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 2 binary64)) J)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (neg.f64 (*.f64 (+.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 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 2 binary64)) J)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J))) #s(literal 1/512 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 2 binary64)) J)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (neg.f64 (*.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/8 binary64) #s(literal -1 binary64)) J)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (neg.f64 (*.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/8 binary64) (-.f64 (*.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))) J)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J))) #s(literal -1/1024 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)) J)))
#s(approx (+ (* (* (* K K) J) -1/8) J) (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal -1 binary64)) J)))
#s(approx (* (+ (* U 1/2) (/ (* J J) U)) (/ 1 J)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 U (*.f64 J J)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) U)) J)))
#s(approx (* (+ (* U 1/2) (/ (* J J) U)) (/ 1 J)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 U (*.f64 J J)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) U)) J)))
#s(approx (* (log J) 2) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 J)))))))
#s(approx (log J) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 J)))) (log.f64 #s(literal -1 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 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) (/.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 (*.f64 (*.f64 U (/.f64 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 (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 (/ (/ 1 (cos (* 1/2 K))) (* -2 J)) (/.f64 #s(literal -1/2 binary64) J))
#s(approx (/ (/ 1 (cos (* 1/2 K))) (* -2 J)) (fma.f64 (/.f64 (*.f64 K K) J) #s(literal -1/16 binary64) (/.f64 #s(literal -1/2 binary64) J)))
#s(approx (/ (/ 1 (cos (* 1/2 K))) (* -2 J)) (fma.f64 (-.f64 (*.f64 #s(literal -5/768 binary64) (/.f64 (*.f64 K K) J)) (/.f64 #s(literal 1/16 binary64) J)) (*.f64 K K) (/.f64 #s(literal -1/2 binary64) J)))
#s(approx (/ (/ 1 (cos (* 1/2 K))) (* -2 J)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -61/92160 binary64) (/.f64 (*.f64 K K) J)) (/.f64 #s(literal 5/768 binary64) J)) (*.f64 K K)) (/.f64 #s(literal 1/16 binary64) J)) (*.f64 K K) (/.f64 #s(literal -1/2 binary64) J)))
#s(approx (/ 1 (cos (* 1/2 K))) #s(literal 1 binary64))
#s(approx (/ 1 (cos (* 1/2 K))) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #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 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (* 1/2 K) (*.f64 K #s(literal 1/2 binary64)))
#s(approx K K)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.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)))) (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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (*.f64 (*.f64 U (/.f64 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 (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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (+.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (+.f64 (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 (*.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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (*.f64 (*.f64 U (/.f64 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 U (/.f64 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))
#s(approx (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2) (fma.f64 (*.f64 (*.f64 K K) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))
#s(approx (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (*.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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 (*.f64 (*.f64 U (/.f64 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 U (/.f64 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
#s(approx (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) (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) (/ 1 (/ 1 (cos (* 1/2 K)))))) (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) (/ 1 (/ 1 (cos (* 1/2 K)))))) (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) (/ 1 (/ 1 (cos (* 1/2 K))))) (+.f64 J J))
#s(approx (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) J) (+.f64 J J)))
#s(approx (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (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 J)))
#s(approx (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K))))) (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 (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 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (* (* (* -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) (/.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))))
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#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 #s(literal -1/8 binary64) J) (*.f64 K K) J))
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) J) (*.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 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/384 binary64) J)) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J))
#s(approx (+ (* (* (* K K) J) -1/8) J) J)
#s(approx (+ (* (* (* K K) J) -1/8) J) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 K K) J))
#s(approx (* K K) (*.f64 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 K #s(literal 1/2 binary64))) 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 K #s(literal 1/2 binary64)))))) (*.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 K #s(literal 1/2 binary64)))))
#s(approx (cos (* 1/2 K)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 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 K #s(literal 1/2 binary64)))))) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (cos (* 1/2 K)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
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#s(approx (+ (* (* (* K K) J) -1/8) J) (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64)))
#s(approx (+ (* (* (* K K) J) -1/8) J) (*.f64 (fma.f64 #s(literal -1/8 binary64) J (/.f64 J (*.f64 K K))) (*.f64 K 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 K #s(literal 1/2 binary64))) J)) #s(literal -1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #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)))) (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -3 binary64))) #s(literal 1/64 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U) (*.f64 (*.f64 (cos.f64 (*.f64 K #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)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 K #s(literal 1/2 binary64))) J) #s(literal 5 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -4 binary64))) #s(literal -1/128 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 K #s(literal 1/2 binary64)))))) (*.f64 J J)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 6 binary64))) (*.f64 #s(literal -1/128 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 K #s(literal 1/2 binary64)))))) (*.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)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) #s(literal -1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #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)))) (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -3 binary64))) #s(literal 1/64 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U) (*.f64 (*.f64 (cos.f64 (*.f64 K #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)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 K #s(literal 1/2 binary64))) J) #s(literal 5 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 (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 1/2) (/ (* J J) U)) (/ 1 J)) (/.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/2 binary64) J) U))
#s(approx (+ (* U 1/2) (/ (* J J) U)) (/.f64 (fma.f64 (*.f64 U U) #s(literal 1/2 binary64) (*.f64 J J)) U))
#s(approx (* (+ (* U 1/2) (/ (* J J) U)) (/ 1 J)) (/.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/2 binary64) J) U))
#s(approx (+ (* U 1/2) (/ (* J J) U)) (/.f64 (fma.f64 (*.f64 U U) #s(literal 1/2 binary64) (*.f64 J J)) 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 K #s(literal 1/2 binary64)))))) (*.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 K #s(literal 1/2 binary64)))))) (*.f64 U U))) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 K #s(literal 1/2 binary64)))))) (*.f64 U U))) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (*.f64 (fma.f64 J (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (*.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 3 binary64)) (*.f64 (*.f64 U U) (*.f64 U U)))) (fma.f64 J (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 K #s(literal 1/2 binary64))) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 3 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))))) U))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.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 K #s(literal 1/2 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 (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 K #s(literal 1/2 binary64)))))) (*.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 K #s(literal 1/2 binary64)))))) (*.f64 U U))) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 K #s(literal 1/2 binary64)))))) (*.f64 U U))) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 (fma.f64 (/.f64 (*.f64 J J) (*.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 (/.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 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64) (/.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) (*.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 (/.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #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 (/.f64 (pow.f64 J #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #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 1/2) (/ (* J J) U)) (/ 1 J)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (+ (* U 1/2) (/ (* J J) U)) (*.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64)) U))
#s(approx (* (+ (* U 1/2) (/ (* J J) U)) (/ 1 J)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (+ (* U 1/2) (/ (* J J) U)) (*.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64)) 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)))) (neg.f64 (*.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 K #s(literal 1/2 binary64)))))) (*.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 (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 K #s(literal 1/2 binary64)))))) (*.f64 U U))) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 K #s(literal 1/2 binary64)))))) (*.f64 U U))) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (*.f64 (neg.f64 U) (fma.f64 J (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (*.f64 (neg.f64 U) (+.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 3 binary64)) (*.f64 (*.f64 U U) (*.f64 U U)))) (fma.f64 J (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) (*.f64 (neg.f64 U) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 K #s(literal 1/2 binary64))) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 3 binary64)) (*.f64 (*.f64 U U) (*.f64 U 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)))) (neg.f64 (*.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 K #s(literal 1/2 binary64)))))) (*.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 (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 K #s(literal 1/2 binary64)))))) (*.f64 U U))) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 K #s(literal 1/2 binary64)))))) (*.f64 U U))) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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) (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) -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) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64) (/.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) (*.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 (/.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #s(literal 2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))
#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 (/.f64 (pow.f64 J #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #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 (* (+ (* U 1/2) (/ (* J J) U)) (/ 1 J)) (*.f64 (neg.f64 U) (-.f64 (neg.f64 (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1/2 binary64) J))))
#s(approx (+ (* U 1/2) (/ (* J J) U)) (*.f64 (neg.f64 U) (-.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1/2 binary64))))
#s(approx (* (+ (* U 1/2) (/ (* J J) U)) (/ 1 J)) (*.f64 (neg.f64 U) (-.f64 (neg.f64 (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1/2 binary64) J))))
#s(approx (+ (* U 1/2) (/ (* J J) U)) (*.f64 (neg.f64 U) (-.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1/2 binary64))))

eval57.0ms (1.2%)

Memory
18.1MiB live, 153.6MiB allocated; 22ms collecting garbage
Compiler

Compiled 6 573 to 2 413 computations (63.3% saved)

prune70.0ms (1.5%)

Memory
-40.8MiB live, 60.0MiB allocated; 11ms collecting garbage
Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New3557362
Fresh11617
Picked325
Done033
Total35928387
Accuracy
100.0%
Counts
387 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1 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))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))))
52.8%
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(literal 1 binary64)))
52.7%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(literal 1 binary64)))
35.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #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))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #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(literal 2 binary64)))))
37.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
44.9%
#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 J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
21.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) (*.f64 U U)))) J) #s(literal -2 binary64)))
52.9%
#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)))
27.2%
#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 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (log.f64 (*.f64 J J))) U)) J)) J) #s(literal -2 binary64)))
25.2%
#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 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (exp.f64 (*.f64 (log.f64 J) #s(literal -1 binary64))))) J) #s(literal -2 binary64)))
12.0%
#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)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64))) J) #s(literal -2 binary64)))
4.1%
#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(approx (+ (* U 1/2) (/ (* J J) U)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 binary64) J))) J) #s(literal -2 binary64)))
4.3%
#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 (/ (+ (* U 1/2) (/ (* J J) U)) J) (/.f64 J U))) J) #s(literal -2 binary64)))
25.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (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)))
26.8%
#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)))
24.7%
#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 (*.f64 K K) J) #s(literal 1/384 binary64) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J)) #s(literal -2 binary64)))
25.0%
#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 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J)) #s(literal -2 binary64)))
24.9%
#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 #s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (*.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) J)) (*.f64 K K) J)) #s(literal -2 binary64)))
25.0%
#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) #s(approx (+ (* (* (* K K) J) -1/8) J) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
2.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (cos (* 1/2 K)) J) #s(approx (+ (* (* (* K K) J) -1/8) J) (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64)))) #s(literal -2 binary64)))
15.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 #s(approx (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
36.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
34.6%
#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) (fma.f64 (/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U) #s(literal -2 binary64) (neg.f64 U))))
34.6%
#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) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J J))) #s(literal -2 binary64) (neg.f64 U))))
36.8%
#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))))
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)))))
15.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) (-.f64 (*.f64 (*.f64 (*.f64 J J) (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)) #s(literal 2 binary64)) (neg.f64 U))))
15.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 1 667 to 1 271 computations (23.8% saved)

regimes207.0ms (4.3%)

Memory
-10.7MiB live, 140.3MiB allocated; 152ms collecting garbage
Counts
48 → 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 (/ (+ (* U 1/2) (/ (* J J) U)) J) (/.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 #s(approx (* (cos (* 1/2 K)) J) #s(approx (+ (* (* (* K K) J) -1/8) J) (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64)))) #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 #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)))) (*.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 #s(approx (* (cos (* 1/2 K)) J) #s(approx (+ (* (* (* K K) J) -1/8) J) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.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) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J J))) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 #s(approx (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/.f64 (*.f64 J J) (*.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 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(approx (+ (* U 1/2) (/ (* J J) U)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 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 (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) 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 (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 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U 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 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 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 #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(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 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) 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 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) (*.f64 U U)))) 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 (* (cos (* 1/2 K)) J) (fma.f64 #s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (*.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) 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 (* (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 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (log.f64 (*.f64 J J))) 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 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U)) J)) 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 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (exp.f64 (*.f64 (log.f64 J) #s(literal -1 binary64))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) (-.f64 (*.f64 (*.f64 (*.f64 J J) (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)) #s(literal 2 binary64)) (neg.f64 U))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #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))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #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(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 (*.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)))
(*.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 #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1 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))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (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))))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (*.f64 K #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 (sin.f64 (*.f64 K #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

6 calls:

30.0ms
K
28.0ms
(*.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)))))
13.0ms
J
12.0ms
U
12.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
75.8%1(/.f64 K #s(literal 2 binary64))
75.8%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
99.9%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
81.1%2J
75.8%1K
81.1%2U
Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes13.0ms (0.3%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Counts
41 → 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 (/ (+ (* U 1/2) (/ (* J J) U)) J) (/.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 #s(approx (* (cos (* 1/2 K)) J) #s(approx (+ (* (* (* K K) J) -1/8) J) (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64)))) #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 #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)))) (*.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 #s(approx (* (cos (* 1/2 K)) J) #s(approx (+ (* (* (* K K) J) -1/8) J) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.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) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J J))) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 #s(approx (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/.f64 (*.f64 J J) (*.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 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(approx (+ (* U 1/2) (/ (* J J) U)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 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 (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) 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 (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 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U 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 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 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 #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(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 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) 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 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) (*.f64 U U)))) 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 (* (cos (* 1/2 K)) J) (fma.f64 #s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (*.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) 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 (* (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 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (log.f64 (*.f64 J J))) 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 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U)) J)) 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 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (exp.f64 (*.f64 (log.f64 J) #s(literal -1 binary64))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) (-.f64 (*.f64 (*.f64 (*.f64 J J) (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)) #s(literal 2 binary64)) (neg.f64 U))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #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))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #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(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 (*.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)))
(*.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 #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 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)))) U)
Calls

1 calls:

10.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
87.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes12.0ms (0.3%)

Memory
11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Counts
39 → 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 (/ (+ (* U 1/2) (/ (* J J) U)) J) (/.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 #s(approx (* (cos (* 1/2 K)) J) #s(approx (+ (* (* (* K K) J) -1/8) J) (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64)))) #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 #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)))) (*.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 #s(approx (* (cos (* 1/2 K)) J) #s(approx (+ (* (* (* K K) J) -1/8) J) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.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) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J J))) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 #s(approx (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/.f64 (*.f64 J J) (*.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 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(approx (+ (* U 1/2) (/ (* J J) U)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 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 (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) 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 (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 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U 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 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 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 #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(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 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) 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 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) (*.f64 U U)))) 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 (* (cos (* 1/2 K)) J) (fma.f64 #s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (*.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) 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 (* (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 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (log.f64 (*.f64 J J))) 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 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U)) J)) 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 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (exp.f64 (*.f64 (log.f64 J) #s(literal -1 binary64))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (/ 1 (/ 1 (cos (* 1/2 K)))))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (neg (* (+ (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) -1) U)) (-.f64 (*.f64 (*.f64 (*.f64 J J) (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)) #s(literal 2 binary64)) (neg.f64 U))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (/ 1 (/ 1 (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #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))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #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(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 (*.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)))
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 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U 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 (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:

10.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
85.0%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)

regimes65.0ms (1.4%)

Memory
6.8MiB live, 56.9MiB allocated; 9ms collecting garbage
Counts
30 → 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 (/ (+ (* U 1/2) (/ (* J J) U)) J) (/.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 #s(approx (* (cos (* 1/2 K)) J) #s(approx (+ (* (* (* K K) J) -1/8) J) (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64)))) #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 #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)))) (*.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 #s(approx (* (cos (* 1/2 K)) J) #s(approx (+ (* (* (* K K) J) -1/8) J) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.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) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J J))) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 #s(approx (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/.f64 (*.f64 J J) (*.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 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(approx (+ (* U 1/2) (/ (* J J) U)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 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 (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) 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 (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 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U 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 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 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 #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(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 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) 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 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) (*.f64 U U)))) 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 (* (cos (* 1/2 K)) J) (fma.f64 #s(approx (+ (* (* K K) (+ (* (* (* K K) J) -1/46080) (* 1/384 J))) (* -1/8 J)) (*.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) 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 (* (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 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (log.f64 (*.f64 J J))) 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 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) U)) J)) 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 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) (exp.f64 (*.f64 (log.f64 J) #s(literal -1 binary64))))) J) #s(literal -2 binary64)))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U 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)))) (neg.f64 (*.f64 (fma.f64 #s(approx (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
Calls

6 calls:

24.0ms
K
8.0ms
U
8.0ms
(/.f64 K #s(literal 2 binary64))
8.0ms
J
8.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
51.8%3(/.f64 K #s(literal 2 binary64))
64.3%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
51.8%3K
54.3%2J
54.0%2U
74.5%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes27.0ms (0.6%)

Memory
-26.5MiB live, 18.2MiB allocated; 4ms collecting garbage
Counts
19 → 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 (/ (+ (* U 1/2) (/ (* J J) U)) J) (/.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 #s(approx (* (cos (* 1/2 K)) J) #s(approx (+ (* (* (* K K) J) -1/8) J) (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64)))) #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 #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)))) (*.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 #s(approx (* (cos (* 1/2 K)) J) #s(approx (+ (* (* (* K K) J) -1/8) J) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.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) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J J))) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 #s(approx (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/.f64 (*.f64 J J) (*.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 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(approx (+ (* U 1/2) (/ (* J J) U)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 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 (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) 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 (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)))
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)))) (neg.f64 (*.f64 (fma.f64 #s(approx (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
Calls

2 calls:

21.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
5.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
54.4%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
64.4%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 26 to 23 computations (11.5% saved)

regimes6.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Counts
18 → 4
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 (/ (+ (* U 1/2) (/ (* J J) U)) J) (/.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 #s(approx (* (cos (* 1/2 K)) J) #s(approx (+ (* (* (* K K) J) -1/8) J) (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64)))) #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 #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)))) (*.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 #s(approx (* (cos (* 1/2 K)) J) #s(approx (+ (* (* (* K K) J) -1/8) J) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.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) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J J))) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 #s(approx (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/.f64 (*.f64 J J) (*.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 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(approx (+ (* U 1/2) (/ (* J J) U)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 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 (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)) 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)))) (neg.f64 (*.f64 (fma.f64 #s(approx (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
Calls

1 calls:

5.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
60.6%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes6.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Counts
15 → 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 (/ (+ (* U 1/2) (/ (* J J) U)) J) (/.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 #s(approx (* (cos (* 1/2 K)) J) #s(approx (+ (* (* (* K K) J) -1/8) J) (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64)))) #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 #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)))) (*.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 #s(approx (* (cos (* 1/2 K)) J) #s(approx (+ (* (* (* K K) J) -1/8) J) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.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) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J J))) #s(literal -2 binary64) (neg.f64 U))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #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

1 calls:

4.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
60.6%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes4.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB 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 (/ (+ (* U 1/2) (/ (* J J) U)) J) (/.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 #s(approx (* (cos (* 1/2 K)) J) #s(approx (+ (* (* (* K K) J) -1/8) J) (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64)))) #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 #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)))) (*.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)))) (neg.f64 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
AccuracySegmentsBranch
60.5%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes6.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms 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)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
Calls

4 calls:

1.0ms
(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)))))
1.0ms
J
1.0ms
U
Results
AccuracySegmentsBranch
50.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
36.3%1U
36.3%1J
50.6%2(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes32.0ms (0.7%)

Memory
-28.3MiB live, 16.4MiB allocated; 4ms 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:

27.0ms
(*.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
K
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
U
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
15.7%1U
15.7%1J
15.7%1(/.f64 K #s(literal 2 binary64))
15.7%1K
15.7%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)))))
15.7%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 32 to 37 computations (-15.6% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.1554439006200262e+306
+inf
0.0ms
-inf
-3.4959292734507363e+305
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.1554439006200262e+306
+inf
0.0ms
-inf
-3.4959292734507363e+305
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.1554439006200262e+306
+inf
0.0ms
-1.4836986681081473e-215
-1.3620523884772135e-222
0.0ms
-inf
-3.4959292734507363e+305
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.796283970058753e-147
2.2458715017152022e-131
0.0ms
-inf
-3.4959292734507363e+305
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.796283970058753e-147
2.2458715017152022e-131
0.0ms
-1.3261191875216881e-63
-1.3621918838462053e-64
0.0ms
-3.048284463314158e+260
-1.1742652643786893e+260
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.796283970058753e-147
2.2458715017152022e-131
0.0ms
-9.75529814423703e-32
-6.141564644231454e-39
0.0ms
-inf
-3.4959292734507363e+305
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.3620523884772135e-222
6.179764268852186e-218
0.0ms
-9.75529814423703e-32
-6.141564644231454e-39
0.0ms
-inf
-3.4959292734507363e+305
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.3620523884772135e-222
6.179764268852186e-218
0.0ms
-9.75529814423703e-32
-6.141564644231454e-39
0.0ms
-inf
-3.4959292734507363e+305
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch44.0ms (0.9%)

Memory
-12.0MiB live, 39.8MiB allocated; 10ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
40.0ms
-0.0011626589385738035
0.014758656627029073
Samples
32.0ms240×0valid
Compiler

Compiled 639 to 609 computations (4.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult!: 19.0ms (74.2% of total)
ival-pow2: 3.0ms (11.7% of total)
ival-sqrt: 2.0ms (7.8% of total)
ival-add!: 1.0ms (3.9% of total)
ival-div!: 1.0ms (3.9% of total)
adjust: 0.0ms (0% of total)

derivations261.0ms (5.4%)

Memory
17.0MiB live, 154.7MiB allocated; 13ms collecting garbage
Stop Event
fuel
Compiler

Compiled 241 to 138 computations (42.7% saved)

preprocess328.0ms (6.8%)

Memory
-4.7MiB live, 515.5MiB allocated; 110ms collecting garbage
Remove

(abs U)

(abs K)

Compiler

Compiled 8 053 to 5 207 computations (35.3% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...