Maksimov and Kolovsky, Equation (3)

Time bar (total: 4.5s)

start0.0ms (0%)

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

analyze246.0ms (5.4%)

Memory
17.8MiB live, 303.3MiB allocated; 37ms 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)

sample1.4s (30.9%)

Memory
29.7MiB live, 1 997.5MiB allocated; 440ms collecting garbage
Samples
989.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 681.0ms
ival-cos: 226.0ms (33.2% of total)
ival-mult!: 187.0ms (27.5% of total)
ival-pow2: 91.0ms (13.4% of total)
ival-div!: 79.0ms (11.6% of total)
ival-sqrt: 61.0ms (9% of total)
ival-add!: 34.0ms (5% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

preprocess62.0ms (1.4%)

Memory
3.4MiB live, 48.7MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075246
1235210
2996210
37405210
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(*.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)))))
Symmetry

(abs K)

(abs U)

(negabs J)

Compiler

Compiled 44 to 34 computations (22.7% saved)

series73.0ms (1.6%)

Memory
0.9MiB live, 92.8MiB allocated; 26ms 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
11.0ms
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))
7.0ms
K
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -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))

rewrite255.0ms (5.6%)

Memory
38.4MiB live, 306.8MiB allocated; 116ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05254670
05434353
130774183
086114014
Stop Event
iter-limit
node-limit
iter-limit
Counts
105 → 163
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx J #s(hole binary64 J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (pow J 2)) (pow J 2))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (* 2 (* J (cos (* 1/2 K))))))
#s(approx (* 2 J) #s(hole binary64 (* 2 J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 J)))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 1))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (/ K 2) #s(hole binary64 (* 1/2 K)))
#s(approx K #s(hole binary64 K))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (* 2 J)))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -1/4 (* J (pow K 2))) (* 2 J))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))
#s(approx U #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1 (pow U 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))))
Outputs
(*.f64 (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sin.f64 (+.f64 (neg.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (/.f64 K #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 K)) #s(literal 2 binary64))
(/.f64 (neg.f64 K) #s(literal -2 binary64))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(pow.f64 (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))))
(fma.f64 (fabs.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (fabs.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (neg.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (exp.f64 (log.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) #s(literal 1 binary64))
(fma.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64))
(+.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (fabs.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (fabs.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (neg.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (neg.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (exp.f64 (log.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (exp.f64 (log.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (log.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 U (+.f64 J J)) (/.f64 U (+.f64 J J))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 U (+.f64 J J)) (neg.f64 U)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 (*.f64 (/.f64 U (+.f64 J J)) U) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (*.f64 (neg.f64 U) (/.f64 U (+.f64 J J))) (*.f64 (neg.f64 (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 U) U) (*.f64 (neg.f64 (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (*.f64 U (/.f64 U (+.f64 J J))) (*.f64 (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 U (neg.f64 U)) (*.f64 (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 (*.f64 U U) (*.f64 (neg.f64 (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (neg.f64 (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 2 binary64))))
(pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 U (+.f64 J J))) (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 U)) (neg.f64 (neg.f64 (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 (/.f64 U (+.f64 J J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 1 binary64)))
U
(*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (+.f64 J J))
(*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
(+.f64 J J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U)) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 J J))) (*.f64 (*.f64 U U) U))) (*.f64 J J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 J J) (exp.f64 (-.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (*.f64 (log.f64 U) #s(literal 5 binary64))))) #s(literal -4 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (*.f64 U U) U)) #s(literal 2 binary64))) (*.f64 J J) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U)))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
#s(approx (* -2 J) (*.f64 J #s(literal -2 binary64)))
#s(approx J J)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) U)) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (neg.f64 (*.f64 (*.f64 J J) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64))))) (*.f64 J J))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 J J) (exp.f64 (-.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64)) (*.f64 (log.f64 U) #s(literal 5 binary64))))) #s(literal 2 binary64) (neg.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64)))) (*.f64 J J) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) (*.f64 J J) (*.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1/2 binary64))) J))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 J J))) #s(literal 1/4 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (/.f64 (*.f64 (/.f64 (*.f64 U U) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 1/4 binary64)) (*.f64 J J)) #s(literal 1 binary64)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 J J))) #s(literal 1/4 binary64)))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 (+.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* 2 J) (+.f64 J J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal -1/4 binary64)))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (exp.f64 (fma.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64) (*.f64 (log.f64 J) #s(literal 6 binary64))))) #s(literal -1/512 binary64) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 J J))) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64))) #s(literal -1/128 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 J J))) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64))) #s(literal 1/1024 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 J J))) #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (exp.f64 (fma.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64) (*.f64 (log.f64 J) #s(literal 6 binary64))))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 U U)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J)) #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -1/8 binary64))) (*.f64 K K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 U U)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) J) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal 1/384 binary64)))) (*.f64 K K) (fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 U U)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J)) #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -1/8 binary64))))) (*.f64 K K) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))))
#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 U U) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 J J)))))) 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 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 K U) (*.f64 K U)) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/32 binary64) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 U U)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 J J))) #s(literal 1/32 binary64))) (*.f64 K K) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 U U) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 J J)))))) (*.f64 K K)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))))) (*.f64 K K) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 U U)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 J J))) #s(literal 1/32 binary64))) (*.f64 K K) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (/.f64 (*.f64 U U) (*.f64 J J))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 K K) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)))) (*.f64 K K) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 K K) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1 binary64)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (/.f64 (*.f64 U U) (*.f64 J J))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 K K) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)))) (*.f64 K K) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 K K) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 (/.f64 (*.f64 (*.f64 K K) U) J) #s(literal 1/16 binary64) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 K K)) (*.f64 (/.f64 U J) #s(literal -5/384 binary64)) (*.f64 (/.f64 U J) #s(literal 1/16 binary64))) (*.f64 K K) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 U J) #s(literal -1/46080 binary64) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 (*.f64 (/.f64 U J) #s(literal -5/384 binary64)) #s(literal 1/8 binary64)))) (*.f64 K K) (*.f64 (/.f64 U J) #s(literal -5/384 binary64)))) (*.f64 K K) (*.f64 (/.f64 U J) #s(literal 1/16 binary64))) (*.f64 K K))))
#s(approx (* (* 2 J) (cos (/ K 2))) (+.f64 J J))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) (+.f64 J J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (*.f64 K K) (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/192 binary64) J)) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (+.f64 J J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 J J)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64))) (*.f64 #s(literal -1/128 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -4 binary64)))) (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 J J)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx U U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U U))) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) (fma.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U U))) #s(literal -2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64)))) #s(literal 1 binary64)) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (*.f64 (*.f64 U U) (*.f64 U U)))) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #s(literal 2 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))))) U))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 J J))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U U))) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) (fma.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U U))) #s(literal -2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (+.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (*.f64 (*.f64 U U) (*.f64 U U)))) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #s(literal 2 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (*.f64 (*.f64 U U) (*.f64 U U)))))))

eval23.0ms (0.5%)

Memory
14.8MiB live, 58.8MiB allocated; 7ms collecting garbage
Compiler

Compiled 3 378 to 957 computations (71.7% saved)

prune21.0ms (0.5%)

Memory
-22.4MiB live, 27.5MiB allocated; 21ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1449153
Fresh000
Picked101
Done000
Total1459154
Accuracy
99.9%
Counts
154 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #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)))))
45.5%
(*.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)))))
54.3%
#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))))
61.6%
#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)))))
35.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
56.6%
#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)))
11.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64))))
35.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
13.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 516 to 472 computations (8.5% saved)

series94.0ms (2.1%)

Memory
6.9MiB live, 190.8MiB allocated; 36ms collecting garbage
Counts
39 → 231
Calls
Call 1
Inputs
#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)))))
(*.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))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
J
#s(literal -2 binary64)
(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)))
(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))
(/.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)))
(*.f64 U 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))
(+.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 2 binary64)
(*.f64 J J)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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))
#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 (neg.f64 U) (-.f64 (*.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64))))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)))
(neg.f64 U)
(-.f64 (*.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.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 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))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (* J (cos (* 1/2 K)))))
#s(approx J #s(hole binary64 J))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)))
#s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
#s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))))
#s(approx (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) #s(hole binary64 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) #s(hole binary64 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
#s(approx (* J J) #s(hole binary64 (pow J 2)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 U)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* 1/2 U)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (/ (pow J 2) U))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(hole binary64 (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))))
#s(approx (/ (* U U) (* J J)) #s(hole binary64 (/ (pow U 2) (pow J 2))))
#s(approx (* (neg U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) #s(hole binary64 U))
#s(approx (* (neg U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) #s(hole binary64 (+ U (* 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) #s(hole binary64 -1))
#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)))) (pow U 2))) 1)))
#s(approx (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) #s(hole binary64 (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))))
#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))))
#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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
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#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))))
#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)))))))))
Calls

9 calls:

TimeVariablePointExpression
16.0ms
J
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) (* U U) U (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (+ 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)) 2 (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (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)) (* (* (* -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)))) (* (neg U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) (neg 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))) -2) (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U)))
10.0ms
U
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) (* U U) U (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (+ 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)) 2 (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (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)) (* (* (* -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)))) (* (neg U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) (neg 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))) -2) (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U)))
9.0ms
J
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) (* U U) U (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (+ 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)) 2 (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (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)) (* (* (* -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)))) (* (neg U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) (neg 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))) -2) (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U)))
9.0ms
K
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) (* U U) U (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (+ 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)) 2 (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (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)) (* (* (* -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)))) (* (neg U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) (neg 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))) -2) (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U)))
8.0ms
U
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) (* U U) U (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (+ 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)) 2 (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (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)) (* (* (* -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)))) (* (neg U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) (neg 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))) -2) (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U)))

rewrite550.0ms (12.2%)

Memory
-122.2MiB live, 463.5MiB allocated; 727ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115712126
0121410836
1682110743
0806610336
Stop Event
iter-limit
node-limit
iter-limit
Counts
270 → 392
Calls
Call 1
Inputs
#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)))))
(*.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))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
J
#s(literal -2 binary64)
(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)))
(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))
(/.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)))
(*.f64 U 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))
(+.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 2 binary64)
(*.f64 J J)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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))
#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 (neg.f64 U) (-.f64 (*.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64))))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)))
(neg.f64 U)
(-.f64 (*.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.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 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))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
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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))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (* U U) #s(hole binary64 (pow U 2)))
#s(approx U #s(hole binary64 U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* 1/8 (/ (pow U 2) J)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 3))) (* 1/8 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 5))) (* 1/128 (/ 1 (pow J 3))))) (* 1/8 (/ 1 J)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (* (neg U) (- (* (* (* 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))))) (pow U 2)) U)))
#s(approx (neg U) #s(hole binary64 (* -1 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) (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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))))
#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 U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) #s(hole binary64 (* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos 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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))))
#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)))))))))
Outputs
#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 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal -2 binary64))
(*.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 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(*.f64 J (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))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
J
#s(literal -2 binary64)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
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(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) (*.f64 U U))
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(/.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U) U)
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 U U))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 U U)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 U U)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 U U)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
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#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))) #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal -1/4 binary64)))) J))
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#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (+.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J)))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (+.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal 1/1024 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J))))) #s(literal 1 binary64)))
#s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 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 (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (/.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) (*.f64 (fma.f64 #s(literal -1/4 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 1/64 binary64)) #s(literal 2 binary64))) J))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (fma.f64 #s(literal -1/4 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 -1/512 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 (* (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 U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) (*.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 U) (- (* (* (* 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)) U) #s(literal 2 binary64) (/.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 U U)) (*.f64 J J)) #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)))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J)))
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#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) J)))
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#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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (*.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) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (*.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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (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 (* (cos (* 1/2 K)) J) J)
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J))
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/384 binary64) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J))
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/46080 binary64) (*.f64 #s(literal 1/384 binary64) J)) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J))
#s(approx (cos (* 1/2 K)) #s(literal 1 binary64))
#s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (* 1/2 K) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (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 (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (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 (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (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 (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* 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 (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (+.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 (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) (fma.f64 (*.f64 (*.f64 K K) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal 1/4 binary64) (*.f64 U (/.f64 U (*.f64 J J)))))
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#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (*.f64 J J))
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#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) (*.f64 J J))) (*.f64 J J)))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 J J)) (*.f64 K K) (*.f64 #s(literal 1/48 binary64) (*.f64 J J))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) (*.f64 J J))) (*.f64 K K) (*.f64 J J)))
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#s(approx (* 1/2 (cos (* 2 (* 1/2 K)))) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
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#s(approx (cos (* 2 (* 1/2 K))) #s(literal 1 binary64))
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#s(approx (cos (* 2 (* 1/2 K))) (fma.f64 (-.f64 (*.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 (* (neg U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) (fma.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 J J) (/.f64 (*.f64 K K) U)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 J J) U))) (*.f64 K K))))
#s(approx (* (neg U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) (fma.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 J J) (/.f64 (*.f64 K K) U)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 J J) U))) (*.f64 K K) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 J J) U))) (*.f64 K K))))
#s(approx (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1) (-.f64 (/.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 (/.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 #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 K K) (*.f64 J J)) (*.f64 U U)) (/.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 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 K K) (*.f64 J J)) (*.f64 U U)) (/.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))) -2) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)))
#s(approx (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) (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(approx (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 K K) (*.f64 J J)) (*.f64 U U)) (/.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(approx (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 K K) (*.f64 J J)) (*.f64 U U)) (/.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(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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (*.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 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #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 #s(literal 1/2 binary64) K)))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#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 (* (neg U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 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))))
#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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
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#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (fma.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal 1/1024 binary64)) (/.f64 #s(literal 1/128 binary64) (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 J J) (*.f64 J J))))) (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 (cos.f64 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) (*.f64 U U))
#s(approx U U)
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) J)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 J J) J))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) J)) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) J)) (*.f64 U U) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (*.f64 U U)) (pow.f64 J #s(literal 5 binary64))) (/.f64 #s(literal 1/128 binary64) (*.f64 (*.f64 J J) J))) (*.f64 U U) (/.f64 #s(literal 1/8 binary64) J)) (*.f64 U U) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J))) #s(literal 1/1024 binary64)) (/.f64 #s(literal 1/128 binary64) (*.f64 (*.f64 J J) (*.f64 J J)))) (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (* (neg U) (- (* (* (* 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) (*.f64 U U)) U))
#s(approx (neg U) (neg.f64 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 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) 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 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) (fma.f64 #s(literal 2 binary64) (/.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))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) (*.f64 U U)) #s(literal -2 binary64)))) #s(literal 1 binary64)) U))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) U))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (*.f64 U U))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) U))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (*.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 5/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)))) #s(literal -4 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (*.f64 U U))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (*.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 U U) (*.f64 U U)))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (*.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 U U) (*.f64 U U)))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 5/2 binary64))) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #s(literal 2 binary64))))) U))
#s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 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 (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64))) U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (fma.f64 (/.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 J J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64)))) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64)) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1/2 binary64)) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))))) (fma.f64 (/.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 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) 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 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) 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 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) (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 U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 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)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) (fma.f64 #s(literal 2 binary64) (/.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))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) (*.f64 U U)) #s(literal -2 binary64)))) #s(literal 1 binary64))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (*.f64 U U))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) U)))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 5/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)))) #s(literal -4 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (*.f64 U U))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) U)))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (*.f64 (neg.f64 U) (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (*.f64 (neg.f64 U) (fma.f64 (neg.f64 (/.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 U U) (*.f64 U U)))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (neg.f64 (*.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 U U) (*.f64 U U)))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 5/2 binary64))) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #s(literal 2 binary64))))) U)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) U)
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (neg.f64 U) (fma.f64 (/.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 J J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1/2 binary64) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (neg.f64 U) (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (neg.f64 U) (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1/2 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (neg.f64 U) (+.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))))) (fma.f64 (/.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 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
#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 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
#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 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) (neg.f64 (/.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 U U) (*.f64 U U)))))))

eval97.0ms (2.1%)

Memory
-14.0MiB live, 200.7MiB allocated; 53ms collecting garbage
Compiler

Compiled 9 638 to 2 951 computations (69.4% saved)

prune35.0ms (0.8%)

Memory
32.2MiB live, 77.6MiB allocated; 7ms collecting garbage
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New47317490
Fresh224
Picked325
Done000
Total47821499
Accuracy
99.9%
Counts
499 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.3%
#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))))
61.6%
#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 #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))) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
57.8%
#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) #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
35.1%
#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 #s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 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))))))
45.5%
#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)))
22.3%
#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)))
56.6%
#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)))
28.1%
#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 (/.f64 U J) #s(literal 1/2 binary64))) J) #s(literal -2 binary64)))
9.0%
#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 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) J) #s(literal -2 binary64)))
28.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
28.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
28.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
11.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.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))))
29.6%
#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)))
35.8%
#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) (*.f64 #s(literal 1/2 binary64) U)) #s(literal -2 binary64)))
30.6%
#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)))
28.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/384 binary64) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J)) #s(literal -2 binary64)))
35.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
35.5%
#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))))
12.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (neg U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) (fma.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) U)))
13.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 1 432 to 1 332 computations (7% saved)

series74.0ms (1.6%)

Memory
-1.7MiB live, 108.3MiB allocated; 29ms collecting garbage
Counts
45 → 230
Calls
Call 1
Inputs
#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 #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))) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.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 #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))) (*.f64 J J))) #s(literal 1/4 binary64) #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)) J)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
J
#s(literal -2 binary64)
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 #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))) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 #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))) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 #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))) (*.f64 J J)))
(*.f64 U U)
U
(*.f64 #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))) (*.f64 J J))
#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)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 K)
(*.f64 J J)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 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)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) J) #s(literal -2 binary64))
(*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) J)
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))
(+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))
(/.f64 #s(literal 1/2 binary64) J)
(/.f64 J (*.f64 U 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)))
(*.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))
(*.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)
(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))))
#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)))
(*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) (*.f64 U U))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))
(/.f64 #s(literal 1/4 binary64) (*.f64 J J))
(/.f64 #s(literal 1 binary64) (*.f64 U U))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))
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#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (* -2 J)))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 J))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* -1/8 (* J (pow K 2))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 1))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (* 1/2 K) #s(hole binary64 (* 1/2 K)))
#s(approx K #s(hole binary64 K))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #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 (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #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 (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #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 (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) #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 (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) #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 (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) #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 (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) #s(hole binary64 (/ (pow U 2) (pow J 2))))
#s(approx (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) #s(hole binary64 (+ (* 1/4 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (/ (pow U 2) (pow J 2)))))
#s(approx (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) #s(hole binary64 (+ (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* -1/4 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))))
#s(approx (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) #s(hole binary64 (+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (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))))))))) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* -1/4 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) #s(hole binary64 (pow J 2)))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) #s(hole binary64 (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) #s(hole binary64 (+ (* (pow K 2) (+ (* -1/4 (pow J 2)) (* 1/48 (* (pow J 2) (pow K 2))))) (pow J 2))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) #s(hole binary64 (+ (* (pow K 2) (+ (* -1/4 (pow J 2)) (* (pow K 2) (+ (* -1/1440 (* (pow J 2) (pow K 2))) (* 1/48 (pow J 2)))))) (pow J 2))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(hole binary64 (+ 1 (* -1/4 (pow K 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow K 2)))))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))))
#s(approx (cos K) #s(hole binary64 1))
#s(approx (cos K) #s(hole binary64 (+ 1 (* -1/2 (pow K 2)))))
#s(approx (cos K) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/24 (pow K 2)) 1/2)))))
#s(approx (cos K) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/24 (* -1/720 (pow K 2)))) 1/2)))))
#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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))))
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#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(hole binary64 (+ 1/2 (* 1/2 (cos K)))))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos K)))))
#s(approx (cos K) #s(hole binary64 (cos K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (* U U) #s(hole binary64 (pow U 2)))
#s(approx U #s(hole binary64 U))
#s(approx (neg U) #s(hole binary64 (* -1 U)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (+ (* (/ (* 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 (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) #s(hole binary64 (/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) U)))
#s(approx (+ (/ 1/2 J) (/ J (* U U))) #s(hole binary64 (/ (+ J (* 1/2 (/ (pow U 2) J))) (pow U 2))))
#s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) #s(hole binary64 (/ (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) (pow U 2))))
#s(approx (/ 1 (* U U)) #s(hole binary64 (/ 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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (/ (pow J 2) (pow U 2))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) #s(hole binary64 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J))))))
#s(approx (+ (/ 1/2 J) (/ J (* U U))) #s(hole binary64 (+ (* 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 (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1/2 U)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
Calls

9 calls:

TimeVariablePointExpression
27.0ms
J
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) (* U U) U (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (+ (* (cos K) 1/2) 1/2) (cos K) (* J J) 1/4 1 (* (* (* -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) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (+ (/ 1/2 J) (/ J (* U U))) (/ 1/2 J) (/ J (* U U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/ 1/4 (* J J)) (/ 1 (* U U)))
6.0ms
J
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) (* U U) U (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (+ (* (cos K) 1/2) 1/2) (cos K) (* J J) 1/4 1 (* (* (* -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) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (+ (/ 1/2 J) (/ J (* U U))) (/ 1/2 J) (/ J (* U U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/ 1/4 (* J J)) (/ 1 (* U U)))
6.0ms
J
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) (* U U) U (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (+ (* (cos K) 1/2) 1/2) (cos K) (* J J) 1/4 1 (* (* (* -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) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (+ (/ 1/2 J) (/ J (* U U))) (/ 1/2 J) (/ J (* U U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/ 1/4 (* J J)) (/ 1 (* U U)))
6.0ms
K
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) (* U U) U (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (+ (* (cos K) 1/2) 1/2) (cos K) (* J J) 1/4 1 (* (* (* -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) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (+ (/ 1/2 J) (/ J (* U U))) (/ 1/2 J) (/ J (* U U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/ 1/4 (* J J)) (/ 1 (* U U)))
5.0ms
U
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) (* U U) U (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (+ (* (cos K) 1/2) 1/2) (cos K) (* J J) 1/4 1 (* (* (* -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) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (+ (/ 1/2 J) (/ J (* U U))) (/ 1/2 J) (/ J (* U U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/ 1/4 (* J J)) (/ 1 (* U U)))

rewrite223.0ms (4.9%)

Memory
1.4MiB live, 277.5MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112111589
0116910530
1650810389
087889903
Stop Event
iter-limit
node-limit
iter-limit
Counts
275 → 401
Calls
Call 1
Inputs
#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 #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))) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.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 #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))) (*.f64 J J))) #s(literal 1/4 binary64) #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)) J)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
J
#s(literal -2 binary64)
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 #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))) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 #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))) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 #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))) (*.f64 J J)))
(*.f64 U U)
U
(*.f64 #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))) (*.f64 J J))
#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)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 K)
(*.f64 J J)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 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)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) J) #s(literal -2 binary64))
(*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) J)
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))
(+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))
(/.f64 #s(literal 1/2 binary64) J)
(/.f64 J (*.f64 U 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)))
(*.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))
(*.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)
(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))))
#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)))
(*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) (*.f64 U 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 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (* J (cos (* 1/2 K)))))
#s(approx J #s(hole binary64 J))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)))
#s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
#s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))))
#s(approx (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) #s(hole binary64 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) #s(hole binary64 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
#s(approx (* J J) #s(hole binary64 (pow J 2)))
#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 (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* 1/2 U)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (/ (pow J 2) U))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)))
#s(approx (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) #s(hole binary64 (/ (+ (* -1 (/ (pow J 2) U)) (* -1/2 U)) J)))
#s(approx (+ (/ 1/2 J) (/ J (* U U))) #s(hole binary64 (/ 1/2 J)))
#s(approx (+ (/ 1/2 J) (/ J (* U U))) #s(hole binary64 (/ (+ 1/2 (/ (pow J 2) (pow U 2))) J)))
#s(approx (/ 1/2 J) #s(hole binary64 (/ 1/2 J)))
#s(approx (/ J (* U U)) #s(hole binary64 (/ J (pow U 2))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(hole binary64 (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))))
#s(approx (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) #s(hole binary64 (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))))
#s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) #s(hole binary64 (/ 1/4 (pow J 2))))
#s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) #s(hole binary64 (/ (+ 1/4 (/ (pow J 2) (pow U 2))) (pow J 2))))
#s(approx (/ 1/4 (* J J)) #s(hole binary64 (/ 1/4 (pow J 2))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 1))
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#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))))
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#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow K 2)))))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))))
#s(approx (cos K) #s(hole binary64 1))
#s(approx (cos K) #s(hole binary64 (+ 1 (* -1/2 (pow K 2)))))
#s(approx (cos K) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/24 (pow K 2)) 1/2)))))
#s(approx (cos K) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/24 (* -1/720 (pow K 2)))) 1/2)))))
#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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(hole binary64 (+ 1/2 (* 1/2 (cos K)))))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos K)))))
#s(approx (cos K) #s(hole binary64 (cos K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (* U U) #s(hole binary64 (pow U 2)))
#s(approx U #s(hole binary64 U))
#s(approx (neg U) #s(hole binary64 (* -1 U)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (+ (* (/ (* 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 (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) #s(hole binary64 (/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) U)))
#s(approx (+ (/ 1/2 J) (/ J (* U U))) #s(hole binary64 (/ (+ J (* 1/2 (/ (pow U 2) J))) (pow U 2))))
#s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) #s(hole binary64 (/ (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) (pow U 2))))
#s(approx (/ 1 (* U U)) #s(hole binary64 (/ 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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (/ (pow J 2) (pow U 2))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) #s(hole binary64 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J))))))
#s(approx (+ (/ 1/2 J) (/ J (* U U))) #s(hole binary64 (+ (* 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 (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) #s(hole binary64 (* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1/2 U)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 #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))) J) J)) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 #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))) J) J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 #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))) J) J)) #s(literal 1 binary64)))))
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#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))
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#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (+.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal 1/1024 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J))))) #s(literal 1 binary64)))
#s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 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 (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (/.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) (*.f64 (fma.f64 #s(literal -1/4 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 1/64 binary64)) #s(literal 2 binary64))) J))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (fma.f64 #s(literal -1/4 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 -1/512 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 #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 (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (neg.f64 J) U))
#s(approx (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (*.f64 (-.f64 (*.f64 (/.f64 U (*.f64 J J)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) U)) J))
#s(approx (+ (/ 1/2 J) (/ J (* U U))) (/.f64 J (*.f64 U U)))
#s(approx (+ (/ 1/2 J) (/ J (* U U))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) J))
#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 (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) #s(literal 1 binary64))
#s(approx (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 #s(literal 1 binary64) (*.f64 U U)))
#s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))))
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#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (neg.f64 J) (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) #s(literal 2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (neg.f64 J) (+.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))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (neg.f64 J) (-.f64 (/.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)) J) (*.f64 (neg.f64 J) (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)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (neg.f64 J) (-.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))))
#s(approx (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (*.f64 (neg.f64 J) (fma.f64 (/.f64 U (*.f64 J J)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 U U) (/.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) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (*.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) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (*.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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (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 (* (cos (* 1/2 K)) J) J)
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J))
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/384 binary64) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J))
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/46080 binary64) (*.f64 #s(literal 1/384 binary64) J)) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J))
#s(approx (cos (* 1/2 K)) #s(literal 1 binary64))
#s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (* 1/2 K) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (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 (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (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 (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (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 (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* 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 (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (+.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)))
#s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (+.f64 (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(literal 1 binary64)))
#s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (+.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) #s(literal 1 binary64)))
#s(approx (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) (*.f64 U (/.f64 U (*.f64 J J))))
#s(approx (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) (fma.f64 (*.f64 (*.f64 K K) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal 1/4 binary64) (*.f64 U (/.f64 U (*.f64 J J)))))
#s(approx (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) (fma.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64)) (*.f64 K K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 K K) (*.f64 U (/.f64 U (*.f64 J J)))))
#s(approx (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) (fma.f64 U (/.f64 U (*.f64 J J)) (*.f64 (fma.f64 (-.f64 (neg.f64 (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (*.f64 K K))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (*.f64 J J))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) (*.f64 K K) (*.f64 J J)))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) (*.f64 J J))) (*.f64 J J)))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 J J)) (*.f64 K K) (*.f64 #s(literal 1/48 binary64) (*.f64 J J))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) (*.f64 J J))) (*.f64 K K) (*.f64 J J)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(literal 1 binary64))
#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 (-.f64 (*.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 (-.f64 (*.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 (+ (* (cos K) 1/2) 1/2) #s(literal 1 binary64))
#s(approx (+ (* (cos K) 1/2) 1/2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (cos K) 1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 K K)) #s(literal 1/4 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (+ (* (cos K) 1/2) 1/2) (fma.f64 (-.f64 (*.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 (cos K) #s(literal 1 binary64))
#s(approx (cos K) (fma.f64 (*.f64 K K) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos K) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 K K)) #s(literal 1/2 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos K) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 K K) #s(literal 1/24 binary64)) (*.f64 K K)) #s(literal 1/2 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 (*.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 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (*.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 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #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 #s(literal 1/2 binary64) K)))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#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 (+ (* (cos K) 1/2) 1/2) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (cos 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 #s(literal 1/2 binary64) K)) J)) #s(literal -1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (fma.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 J J) J))) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal -1/4 binary64))) (*.f64 U U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 J J) J))) #s(literal 1/64 binary64))) (*.f64 U U) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal -1/4 binary64))) (*.f64 U U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (fma.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal 1/1024 binary64)) (/.f64 #s(literal 1/128 binary64) (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 J J) (*.f64 J J))))) (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 (cos.f64 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) (*.f64 U U))
#s(approx U U)
#s(approx (neg U) (neg.f64 U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) J)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 J J) J))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (+ (* (/ (* 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 (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/2 binary64) (neg.f64 J)) U))
#s(approx (+ (/ 1/2 J) (/ J (* U U))) (/.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/2 binary64) J) (*.f64 U U)))
#s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 U U)))
#s(approx (/ 1 (* U U)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) 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 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) (fma.f64 #s(literal 2 binary64) (/.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))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) (*.f64 U U)) #s(literal -2 binary64)))) #s(literal 1 binary64)) U))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) U))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (*.f64 U U))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) U))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (*.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 5/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)))) #s(literal -4 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (*.f64 U U))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (*.f64 (fma.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (*.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 U U) (*.f64 U U)))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (*.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 U U) (*.f64 U U)))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 5/2 binary64)))))) U))
#s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 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 (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64))) U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (fma.f64 (/.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 J J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64)))) U))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64)) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1/2 binary64)) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))))) (fma.f64 (/.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 (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (*.f64 (-.f64 (/.f64 (neg.f64 J) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (+ (/ 1/2 J) (/ J (* U U))) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) U) U))
#s(approx (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) 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 (neg.f64 U) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) (fma.f64 #s(literal 2 binary64) (/.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))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) (*.f64 U U)) #s(literal -2 binary64)))) #s(literal 1 binary64))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (*.f64 U U))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) U)))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 5/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)))) #s(literal -4 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (*.f64 U U))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) U)))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (*.f64 (neg.f64 U) (fma.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (*.f64 (neg.f64 U) (fma.f64 (neg.f64 (/.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 U U) (*.f64 U U)))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1)) (neg.f64 (*.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 U U) (*.f64 U U)))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 5/2 binary64)))))) U)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) U)
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (neg.f64 U) (fma.f64 (/.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 J J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1/2 binary64) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (neg.f64 U) (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (neg.f64 U) (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1/2 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (neg.f64 U) (+.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))))) (fma.f64 (/.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 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (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 (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))

eval87.0ms (1.9%)

Memory
-39.2MiB live, 115.6MiB allocated; 65ms collecting garbage
Compiler

Compiled 8 295 to 2 650 computations (68.1% saved)

prune29.0ms (0.6%)

Memory
17.7MiB live, 64.9MiB allocated; 2ms collecting garbage
Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New3939402
Fresh11314
Picked415
Done022
Total39825423
Accuracy
99.9%
Counts
423 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.3%
#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))))
61.6%
#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(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))) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
57.8%
#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) #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
35.1%
#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 #s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 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))))))
45.5%
#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)))
22.3%
#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)) (pow.f64 U #s(literal -2 binary64))) (*.f64 U U)))) J) #s(literal -2 binary64)))
24.4%
#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 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) U) U))) J) #s(literal -2 binary64)))
17.1%
#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 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/4 binary64)) (*.f64 J J))) (*.f64 U U)))) J) #s(literal -2 binary64)))
12.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 #s(literal 1 binary64) (*.f64 U U))) (*.f64 U U)))) J) #s(literal -2 binary64)))
56.6%
#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)))
28.1%
#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 (/.f64 U J) #s(literal 1/2 binary64))) J) #s(literal -2 binary64)))
11.0%
#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 (neg.f64 U) #s(approx (+ (/ 1/2 J) (/ J (* U U))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
2.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (neg.f64 J) U))) J) #s(literal -2 binary64)))
28.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
28.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
28.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
29.6%
#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)))
35.8%
#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) (*.f64 #s(literal 1/2 binary64) U)) #s(literal -2 binary64)))
30.6%
#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)))
28.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/384 binary64) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J)) #s(literal -2 binary64)))
35.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
36.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (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)))))
12.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (neg U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) (fma.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) U)))
13.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 1 751 to 1 619 computations (7.5% saved)

series69.0ms (1.5%)

Memory
-20.1MiB live, 124.4MiB allocated; 10ms collecting garbage
Counts
49 → 295
Calls
Call 1
Inputs
#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(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))) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.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(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))) J) J)) #s(literal 1/4 binary64) #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)) J)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
J
#s(literal -2 binary64)
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 #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))) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 #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))) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 (*.f64 #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))) J) J))
(*.f64 U U)
U
(*.f64 (*.f64 #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))) J) J)
(*.f64 #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))) J)
#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)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 K)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) J) #s(literal -2 binary64)))
(*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) J) #s(literal -2 binary64))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#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)))
(fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))
(*.f64 J (/.f64 J U))
(/.f64 J U)
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
(*.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))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J)
(sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 U J) (/.f64 U J))
(/.f64 U J)
#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 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/4 binary64)) (*.f64 J J))) (*.f64 U U)))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/4 binary64)) (*.f64 J J))) (*.f64 U U)))) J) #s(literal -2 binary64))
(*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/4 binary64)) (*.f64 J J))) (*.f64 U U)))) J)
(sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/4 binary64)) (*.f64 J J))) (*.f64 U U))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/4 binary64)) (*.f64 J J))) (*.f64 U U)))
(*.f64 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/4 binary64)) (*.f64 J J))) (*.f64 U U))
#s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/4 binary64)) (*.f64 J J)))
(/.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/4 binary64)) (*.f64 J J))
(+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/4 binary64))
(/.f64 (*.f64 J J) (*.f64 U U))
(*.f64 J 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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (* J (cos (* 1/2 K)))))
#s(approx J #s(hole binary64 J))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)))
#s(approx (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
#s(approx (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))))
#s(approx (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) #s(hole binary64 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
#s(approx (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) #s(hole binary64 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) #s(hole binary64 (* J (+ 1/2 (* 1/2 (cos K))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -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 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (* -2 J)))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 J))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* -1/8 (* J (pow K 2))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 1))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (* 1/2 K) #s(hole binary64 (* 1/2 K)))
#s(approx K #s(hole binary64 K))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #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 (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #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 (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #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 (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) #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 (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) #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 (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) #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 (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) #s(hole binary64 (/ (pow U 2) (pow J 2))))
#s(approx (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) #s(hole binary64 (+ (* 1/4 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (/ (pow U 2) (pow J 2)))))
#s(approx (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) #s(hole binary64 (+ (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* -1/4 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))))
#s(approx (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) #s(hole binary64 (+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (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))))))))) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* -1/4 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))))
#s(approx (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) #s(hole binary64 (pow J 2)))
#s(approx (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) #s(hole binary64 (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2))))
#s(approx (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) #s(hole binary64 (+ (* (pow K 2) (+ (* -1/4 (pow J 2)) (* 1/48 (* (pow J 2) (pow K 2))))) (pow J 2))))
#s(approx (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) #s(hole binary64 (+ (* (pow K 2) (+ (* -1/4 (pow J 2)) (* (pow K 2) (+ (* -1/1440 (* (pow J 2) (pow K 2))) (* 1/48 (pow J 2)))))) (pow J 2))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) #s(hole binary64 J))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) #s(hole binary64 (+ J (* -1/4 (* J (pow K 2))))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/4 J) (* 1/48 (* J (pow K 2))))))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/1440 (* J (pow K 2))) (* 1/48 J))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(hole binary64 (+ 1 (* -1/4 (pow K 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow K 2)))))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))))
#s(approx (cos K) #s(hole binary64 1))
#s(approx (cos K) #s(hole binary64 (+ 1 (* -1/2 (pow K 2)))))
#s(approx (cos K) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/24 (pow K 2)) 1/2)))))
#s(approx (cos K) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/24 (* -1/720 (pow K 2)))) 1/2)))))
#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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(hole binary64 (+ 1/2 (* 1/2 (cos K)))))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos K)))))
#s(approx (cos K) #s(hole binary64 (cos K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (* U U) #s(hole binary64 (pow U 2)))
#s(approx U #s(hole binary64 U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* 1/8 (/ (pow U 2) J)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 3))) (* 1/8 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 5))) (* 1/128 (/ 1 (pow J 3))))) (* 1/8 (/ 1 J)))))))
#s(approx (+ (* (* J (/ J U)) -2) (neg U)) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)))
#s(approx (neg U) #s(hole binary64 (* -1 U)))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (+ J (* 1/8 (/ (pow U 2) J)))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U 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 J) (/ U 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 (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 (+ (/ 1/4 (* J J)) (/ 1 (* U U))) #s(hole binary64 (/ (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) (pow U 2))))
#s(approx (/ (+ (/ (* J J) (* U U)) 1/4) (* J J)) #s(hole binary64 (/ (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) (pow U 2))))
#s(approx (+ (/ (* J J) (* U U)) 1/4) #s(hole binary64 (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (/ (pow J 2) (pow U 2))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2))))))))
#s(approx (+ (* (* J (/ J U)) -2) (neg U)) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (/ (pow J 2) (pow U 2))))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U J)) 1/4) 1) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (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 (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1/2 U)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2)))))))))
#s(approx (+ (* (* J (/ J U)) -2) (neg U)) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 U))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* -1/2 U)))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (sqrt (+ (* (/ (* 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)))))))))
Calls

9 calls:

TimeVariablePointExpression
18.0ms
J
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) (* U U) U (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (+ (* (cos K) 1/2) 1/2) (cos K) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (+ (* (* J (/ J U)) -2) (neg U)) (* J (/ J U)) (/ J U) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) (/ U 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 U) (* J J)) 1/4) 1) (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/ (+ (/ (* J J) (* U U)) 1/4) (* J J)) (+ (/ (* J J) (* U U)) 1/4) (/ (* J J) (* U U)) (* J J))
8.0ms
J
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) (* U U) U (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (+ (* (cos K) 1/2) 1/2) (cos K) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (+ (* (* J (/ J U)) -2) (neg U)) (* J (/ J U)) (/ J U) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) (/ U 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 U) (* J J)) 1/4) 1) (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/ (+ (/ (* J J) (* U U)) 1/4) (* J J)) (+ (/ (* J J) (* U U)) 1/4) (/ (* J J) (* U U)) (* J J))
6.0ms
J
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) (* U U) U (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (+ (* (cos K) 1/2) 1/2) (cos K) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (+ (* (* J (/ J U)) -2) (neg U)) (* J (/ J U)) (/ J U) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) (/ U 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 U) (* J J)) 1/4) 1) (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/ (+ (/ (* J J) (* U U)) 1/4) (* J J)) (+ (/ (* J J) (* U U)) 1/4) (/ (* J J) (* U U)) (* J J))
5.0ms
U
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) (* U U) U (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (+ (* (cos K) 1/2) 1/2) (cos K) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (+ (* (* J (/ J U)) -2) (neg U)) (* J (/ J U)) (/ J U) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) (/ U 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 U) (* J J)) 1/4) 1) (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/ (+ (/ (* J J) (* U U)) 1/4) (* J J)) (+ (/ (* J J) (* U U)) 1/4) (/ (* J J) (* U U)) (* J J))
5.0ms
K
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) (* U U) U (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (+ (* (cos K) 1/2) 1/2) (cos K) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (+ (* (* J (/ J U)) -2) (neg U)) (* J (/ J U)) (/ J U) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) (/ U 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 U) (* J J)) 1/4) 1) (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/ (+ (/ (* J J) (* U U)) 1/4) (* J J)) (+ (/ (* J J) (* U U)) 1/4) (/ (* J J) (* U U)) (* J J))

rewrite227.0ms (5%)

Memory
39.8MiB live, 268.3MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118613866
0123611944
1654311803
0883811372
Stop Event
iter-limit
node-limit
iter-limit
Counts
344 → 471
Calls
Call 1
Inputs
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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)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
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#s(literal 1/2 binary64)
K
J
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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))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (* -2 J)))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 J))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* -1/8 (* J (pow K 2))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 1))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (* 1/2 K) #s(hole binary64 (* 1/2 K)))
#s(approx K #s(hole binary64 K))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #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 (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #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 (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #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 (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) #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 (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) #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 (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) #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 (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) #s(hole binary64 (/ (pow U 2) (pow J 2))))
#s(approx (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) #s(hole binary64 (+ (* 1/4 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (/ (pow U 2) (pow J 2)))))
#s(approx (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) #s(hole binary64 (+ (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* -1/4 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))))
#s(approx (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) #s(hole binary64 (+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (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))))))))) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* -1/4 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))))
#s(approx (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) #s(hole binary64 (pow J 2)))
#s(approx (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) #s(hole binary64 (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2))))
#s(approx (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) #s(hole binary64 (+ (* (pow K 2) (+ (* -1/4 (pow J 2)) (* 1/48 (* (pow J 2) (pow K 2))))) (pow J 2))))
#s(approx (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) #s(hole binary64 (+ (* (pow K 2) (+ (* -1/4 (pow J 2)) (* (pow K 2) (+ (* -1/1440 (* (pow J 2) (pow K 2))) (* 1/48 (pow J 2)))))) (pow J 2))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) #s(hole binary64 J))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) #s(hole binary64 (+ J (* -1/4 (* J (pow K 2))))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/4 J) (* 1/48 (* J (pow K 2))))))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/1440 (* J (pow K 2))) (* 1/48 J))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(hole binary64 (+ 1 (* -1/4 (pow K 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow K 2)))))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))))
#s(approx (cos K) #s(hole binary64 1))
#s(approx (cos K) #s(hole binary64 (+ 1 (* -1/2 (pow K 2)))))
#s(approx (cos K) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/24 (pow K 2)) 1/2)))))
#s(approx (cos K) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/24 (* -1/720 (pow K 2)))) 1/2)))))
#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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(hole binary64 (+ 1/2 (* 1/2 (cos K)))))
#s(approx (+ (* (cos K) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos K)))))
#s(approx (cos K) #s(hole binary64 (cos K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (* U U) #s(hole binary64 (pow U 2)))
#s(approx U #s(hole binary64 U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* 1/8 (/ (pow U 2) J)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 3))) (* 1/8 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 5))) (* 1/128 (/ 1 (pow J 3))))) (* 1/8 (/ 1 J)))))))
#s(approx (+ (* (* J (/ J U)) -2) (neg U)) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)))
#s(approx (neg U) #s(hole binary64 (* -1 U)))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (+ J (* 1/8 (/ (pow U 2) J)))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U 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 J) (/ U 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 (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 (+ (/ 1/4 (* J J)) (/ 1 (* U U))) #s(hole binary64 (/ (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) (pow U 2))))
#s(approx (/ (+ (/ (* J J) (* U U)) 1/4) (* J J)) #s(hole binary64 (/ (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) (pow U 2))))
#s(approx (+ (/ (* J J) (* U U)) 1/4) #s(hole binary64 (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (/ (pow J 2) (pow U 2))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2))))))))
#s(approx (+ (* (* J (/ J U)) -2) (neg U)) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (/ (pow J 2) (pow U 2))))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U J)) 1/4) 1) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (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 (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 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 (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1/2 U)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2)))))))))
#s(approx (+ (* (* J (/ J U)) -2) (neg U)) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 U))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* -1/2 U)))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (sqrt (+ (* (/ (* 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)))))))))
Outputs
#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 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 #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))) J) J)) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 #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))) J) J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 #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))) J) J)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 #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))) J) J)) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(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))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
J
#s(literal -2 binary64)
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U
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#s(literal 1/4 binary64)
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#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (neg.f64 (*.f64 (-.f64 (*.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 (-.f64 (fma.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) (*.f64 #s(literal -1/8 binary64) (*.f64 U (/.f64 U (*.f64 J J))))) #s(literal 1 binary64)) J)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (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 (* (* (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 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 (/.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 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) (neg.f64 (*.f64 (-.f64 (*.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 (-.f64 (fma.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) (*.f64 #s(literal -1/8 binary64) (*.f64 U (/.f64 U (*.f64 J J))))) #s(literal 1 binary64)) J)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J) #s(literal 1/32 binary64))) (*.f64 K K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) (*.f64 K K) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J) #s(literal 1/32 binary64))))) (*.f64 K K) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))))
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#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) (*.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) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J) #s(literal 1/32 binary64))) (*.f64 K K)))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) (*.f64 K K) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J) #s(literal 1/32 binary64))))) (*.f64 K K) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal -1/46080 binary64) J) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 U (/.f64 U (*.f64 J J))) (fma.f64 #s(literal 1/192 binary64) (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64)) #s(literal 1/4 binary64)))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) (*.f64 U U)) (*.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 J J))))) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal 1/12288 binary64) (/.f64 (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J))))) (*.f64 K K) (fma.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J) #s(literal 1/32 binary64))) #s(literal -2 binary64))) (*.f64 K K) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 (fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (cos (* 1/2 K)) J) J)
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J))
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/384 binary64) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J))
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/46080 binary64) (*.f64 #s(literal 1/384 binary64) J)) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J))
#s(approx (cos (* 1/2 K)) #s(literal 1 binary64))
#s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (* 1/2 K) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 U (/.f64 U (*.f64 J J)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/32 binary64) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) (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)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U (/.f64 U (*.f64 J J)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) (*.f64 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 (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) (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)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 U (/.f64 U (*.f64 J J))) (fma.f64 #s(literal 1/192 binary64) (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64)) #s(literal 1/4 binary64)))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) (*.f64 U U)) (*.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 J J))))) (*.f64 K K)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))))) (*.f64 K K) (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U (/.f64 U (*.f64 J J)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) (*.f64 K K) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) 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 (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) (+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 U (/.f64 U (*.f64 J J)))) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) (+.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.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 #s(literal 1/16 binary64) (*.f64 U (/.f64 U (*.f64 J J))))) (*.f64 K K))))
#s(approx (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 U (/.f64 U (*.f64 J J))) (fma.f64 #s(literal 1/192 binary64) (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64)) #s(literal 1/4 binary64)))) (*.f64 K K) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64)))) (*.f64 K K) (*.f64 #s(literal 1/16 binary64) (*.f64 U (/.f64 U (*.f64 J J))))) (*.f64 K K) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
#s(approx (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) (*.f64 U (/.f64 U (*.f64 J J))))
#s(approx (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) (fma.f64 (*.f64 (*.f64 K K) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal 1/4 binary64) (*.f64 U (/.f64 U (*.f64 J J)))))
#s(approx (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) (fma.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64)) (*.f64 K K))) (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U (*.f64 J J))))) (*.f64 K K) (*.f64 U (/.f64 U (*.f64 J J)))))
#s(approx (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) (fma.f64 U (/.f64 U (*.f64 J J)) (*.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 U (/.f64 U (*.f64 J J))) (fma.f64 #s(literal 1/192 binary64) (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64)) #s(literal 1/4 binary64)))) (*.f64 K K))) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64))) (*.f64 K K) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64))) (*.f64 K K))))
#s(approx (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) (*.f64 J J))
#s(approx (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) (*.f64 K K) (*.f64 J J)))
#s(approx (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) (*.f64 J J))) (*.f64 J J)))
#s(approx (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 J J)) (*.f64 K K) (*.f64 #s(literal 1/48 binary64) (*.f64 J J))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) (*.f64 J J))) (*.f64 K K) (*.f64 J J)))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) J))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/48 binary64) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) J))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) (fma.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/1440 binary64) (*.f64 #s(literal 1/48 binary64) J)) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) J))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) #s(literal 1 binary64))
#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 (-.f64 (*.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 (-.f64 (*.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 (+ (* (cos K) 1/2) 1/2) #s(literal 1 binary64))
#s(approx (+ (* (cos K) 1/2) 1/2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (cos K) 1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 K K)) #s(literal 1/4 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (+ (* (cos K) 1/2) 1/2) (fma.f64 (-.f64 (*.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 (cos K) #s(literal 1 binary64))
#s(approx (cos K) (fma.f64 #s(literal -1/2 binary64) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos K) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 K K)) #s(literal 1/2 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos K) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 K K) #s(literal 1/24 binary64)) (*.f64 K K)) #s(literal 1/2 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 (*.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 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) (*.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 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #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 #s(literal 1/2 binary64) K)))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#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 (+ (* (cos K) 1/2) 1/2) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (cos 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 #s(literal 1/2 binary64) K)) J)) #s(literal -1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) (fma.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 J J) J))) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal -1/4 binary64))) (*.f64 U U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 J J) J))) #s(literal 1/64 binary64))) (*.f64 U U) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal -1/4 binary64))) (*.f64 U U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) (fma.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal 1/1024 binary64)) (/.f64 #s(literal 1/128 binary64) (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 J J) (*.f64 J J))))) (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 (cos.f64 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) (*.f64 U U))
#s(approx U U)
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) J)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 J J) J))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) J)) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) J)) (*.f64 U U) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (*.f64 U U)) (pow.f64 J #s(literal 5 binary64))) (/.f64 #s(literal 1/128 binary64) (*.f64 (*.f64 J J) J))) (*.f64 U U) (/.f64 #s(literal 1/8 binary64) J)) (*.f64 U U) J))
#s(approx (+ (* (* J (/ J U)) -2) (neg U)) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U))
#s(approx (neg U) (neg.f64 U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) J)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 J J) J))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) J)) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) J)) (*.f64 U U) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (*.f64 U U)) (pow.f64 J #s(literal 5 binary64))) (/.f64 #s(literal 1/128 binary64) (*.f64 (*.f64 J J) J))) (*.f64 U U) (/.f64 #s(literal 1/8 binary64) J)) (*.f64 U U) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J))) #s(literal 1/1024 binary64)) (/.f64 #s(literal 1/128 binary64) (*.f64 (*.f64 J J) (*.f64 J J)))) (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (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 (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 U U)))
#s(approx (/ (+ (/ (* J J) (* U U)) 1/4) (* J J)) (/.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 U U)))
#s(approx (+ (/ (* J J) (* U U)) 1/4) (/.f64 (fma.f64 (*.f64 U U) #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) 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 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) (fma.f64 #s(literal 2 binary64) (/.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))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) (*.f64 U U)) #s(literal -2 binary64)))) #s(literal 1 binary64)) U))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) U))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (*.f64 U U))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) U))
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#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) (*.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 U U) (*.f64 U U)))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) (*.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 U U) (*.f64 U U)))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 5/2 binary64)))))) U))
#s(approx (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 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 (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (*.f64 (*.f64 J (/.f64 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 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64) (*.f64 (*.f64 J (/.f64 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 (*.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) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64) (*.f64 (*.f64 J (/.f64 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 (fma.f64 J (/.f64 J (*.f64 U U)) #s(literal 1/2 binary64)) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (+.f64 (fma.f64 J (/.f64 J (*.f64 U U)) (neg.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.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 J (/.f64 J (*.f64 U U))))) U))
#s(approx (+ (* (* J (/ J U)) -2) (neg U)) (*.f64 (-.f64 (*.f64 (*.f64 J (/.f64 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 (-.f64 (*.f64 (*.f64 J (/.f64 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 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64) (*.f64 (*.f64 J (/.f64 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 (*.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) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64) (*.f64 (*.f64 J (/.f64 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 (fma.f64 J (/.f64 J (*.f64 U U)) #s(literal 1/2 binary64)) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (+.f64 (fma.f64 J (/.f64 J (*.f64 U U)) (neg.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.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 J (/.f64 J (*.f64 U U))))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) 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 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) 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 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) (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 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) U) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) 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 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) 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 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) (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 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) U) U))
#s(approx (* (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (* U U)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) 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 (neg.f64 U) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) (fma.f64 #s(literal 2 binary64) (/.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))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) (*.f64 U U)) #s(literal -2 binary64)))) #s(literal 1 binary64))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (*.f64 U U))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) U)))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 5/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)))) #s(literal -4 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (*.f64 U U))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) U)))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) (*.f64 (neg.f64 U) (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) (*.f64 (neg.f64 U) (fma.f64 (neg.f64 (/.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 U U) (*.f64 U U)))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J)) 1/4) 1)) (neg.f64 (*.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 U U) (*.f64 U U)))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 5/2 binary64)))))) U)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) U)
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 J (/.f64 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) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64) (*.f64 (*.f64 J (/.f64 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 (*.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) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64) (*.f64 (*.f64 J (/.f64 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) (fma.f64 J (/.f64 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 (fma.f64 J (/.f64 J (*.f64 U U)) (neg.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.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 J (/.f64 J (*.f64 U U)))))))
#s(approx (+ (* (* J (/ J U)) -2) (neg U)) (*.f64 (neg.f64 U) (fma.f64 (*.f64 J (/.f64 J (*.f64 U U))) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) U)
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 J (/.f64 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) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64) (*.f64 (*.f64 J (/.f64 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 (*.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) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 2 binary64) (*.f64 (*.f64 J (/.f64 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) (fma.f64 J (/.f64 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 (fma.f64 J (/.f64 J (*.f64 U U)) (neg.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (*.f64 (*.f64 U U) (*.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 J (/.f64 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 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
#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 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
#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 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) (neg.f64 (/.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 U U) (*.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 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
#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 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
#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 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) (neg.f64 (/.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 U U) (*.f64 U U)))))))

eval55.0ms (1.2%)

Memory
9.6MiB live, 108.4MiB allocated; 12ms collecting garbage
Compiler

Compiled 8 318 to 2 599 computations (68.8% saved)

prune34.0ms (0.7%)

Memory
-19.5MiB live, 73.6MiB allocated; 4ms collecting garbage
Pruning

26 alts after pruning (19 fresh and 7 done)

PrunedKeptTotal
New3763379
Fresh11617
Picked145
Done033
Total37826404
Accuracy
99.9%
Counts
404 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.3%
#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))))
61.6%
#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(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))) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
57.8%
#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 #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
35.1%
#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 #s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 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))))))
45.5%
#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)))
22.3%
#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)) (pow.f64 U #s(literal -2 binary64))) (*.f64 U U)))) J) #s(literal -2 binary64)))
24.4%
#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 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) U) U))) J) #s(literal -2 binary64)))
17.2%
#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 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (fma.f64 (/.f64 J U) (/.f64 J U) #s(literal 1/4 binary64)) (*.f64 J J))) (*.f64 U U)))) J) #s(literal -2 binary64)))
12.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 #s(literal 1 binary64) (*.f64 U U))) (*.f64 U U)))) J) #s(literal -2 binary64)))
56.6%
#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)))
28.1%
#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 (/.f64 U J) #s(literal 1/2 binary64))) J) #s(literal -2 binary64)))
11.0%
#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 (neg.f64 U) #s(approx (+ (/ 1/2 J) (/ J (* U U))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
2.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (neg.f64 J) U))) J) #s(literal -2 binary64)))
28.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
28.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
28.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
29.6%
#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)))
34.6%
#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) (*.f64 (fma.f64 J (/.f64 J (*.f64 U U)) #s(literal 1/2 binary64)) U)) #s(literal -2 binary64)))
35.8%
#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) (*.f64 #s(literal 1/2 binary64) U)) #s(literal -2 binary64)))
30.6%
#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)))
28.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/384 binary64) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J)) #s(literal -2 binary64)))
35.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
36.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (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)))))
12.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (neg U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) (fma.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) U)))
13.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 1 535 to 1 183 computations (22.9% saved)

regimes70.0ms (1.5%)

Memory
-18.6MiB live, 125.9MiB allocated; 17ms collecting garbage
Counts
39 → 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)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal 1/2 binary64) U)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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 (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (neg.f64 J) U))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) #s(approx (+ (/ 1/2 J) (/ J (* U U))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (fma.f64 J (/.f64 J (*.f64 U U)) #s(literal 1/2 binary64)) U)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.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))))
#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 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.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 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.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 (*.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 (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #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)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) 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 (*.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 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (fma.f64 (/.f64 J U) (/.f64 J U) #s(literal 1/4 binary64)) (*.f64 J J))) (*.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 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/4 binary64)) (*.f64 J J))) (*.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 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (pow.f64 U #s(literal -2 binary64))) (*.f64 U U)))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (neg U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) (fma.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) U)))
#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) #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.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 #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (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)))) (*.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(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))) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.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 #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))) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.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 (* (* (* -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 #s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 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))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Outputs
#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:

18.0ms
K
10.0ms
(/.f64 K #s(literal 2 binary64))
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)))))
10.0ms
U
10.0ms
J
Results
AccuracySegmentsBranch
76.3%1(/.f64 K #s(literal 2 binary64))
76.3%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
99.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
80.4%2J
76.3%1K
84.4%2U
Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes11.0ms (0.2%)

Memory
24.1MiB live, 24.1MiB allocated; 0ms collecting garbage
Counts
38 → 5
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal 1/2 binary64) U)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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 (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (neg.f64 J) U))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) #s(approx (+ (/ 1/2 J) (/ J (* U U))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (fma.f64 J (/.f64 J (*.f64 U U)) #s(literal 1/2 binary64)) U)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.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))))
#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 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.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 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.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 (*.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 (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #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)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) 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 (*.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 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (fma.f64 (/.f64 J U) (/.f64 J U) #s(literal 1/4 binary64)) (*.f64 J J))) (*.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 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/4 binary64)) (*.f64 J J))) (*.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 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (pow.f64 U #s(literal -2 binary64))) (*.f64 U U)))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (neg U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) (fma.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) U)))
#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) #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.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 #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (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)))) (*.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(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))) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.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 #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))) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.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 (* (* (* -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 #s(approx (+ (* (/ (* U U) (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J))) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 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))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
#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 #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))) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.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:

9.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
90.1%5(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes10.0ms (0.2%)

Memory
18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Counts
35 → 5
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal 1/2 binary64) U)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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 (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (neg.f64 J) U))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) #s(approx (+ (/ 1/2 J) (/ J (* U U))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (fma.f64 J (/.f64 J (*.f64 U U)) #s(literal 1/2 binary64)) U)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.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))))
#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 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.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 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.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 (*.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 (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #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)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) 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 (*.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 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (fma.f64 (/.f64 J U) (/.f64 J U) #s(literal 1/4 binary64)) (*.f64 J J))) (*.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 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/4 binary64)) (*.f64 J J))) (*.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 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (pow.f64 U #s(literal -2 binary64))) (*.f64 U U)))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (neg U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) (fma.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) U)))
#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) #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.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 #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (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)))) (*.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(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))) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.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(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))) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

1 calls:

8.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
90.1%5(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes19.0ms (0.4%)

Memory
-6.3MiB live, 40.1MiB allocated; 2ms collecting garbage
Counts
34 → 5
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal 1/2 binary64) U)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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 (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (neg.f64 J) U))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) #s(approx (+ (/ 1/2 J) (/ J (* U U))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (fma.f64 J (/.f64 J (*.f64 U U)) #s(literal 1/2 binary64)) U)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.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))))
#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 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.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 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.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 (*.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 (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #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)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) 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 (*.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 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (fma.f64 (/.f64 J U) (/.f64 J U) #s(literal 1/4 binary64)) (*.f64 J J))) (*.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 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/4 binary64)) (*.f64 J J))) (*.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 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (pow.f64 U #s(literal -2 binary64))) (*.f64 U U)))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (neg U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) (fma.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) U)))
#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) #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.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 #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) J) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (*.f64 J J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
#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) #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* J J)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.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

2 calls:

8.0ms
U
8.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
75.3%3U
88.1%5(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 23 to 20 computations (13% saved)

regimes11.0ms (0.2%)

Memory
-29.6MiB live, 20.9MiB allocated; 4ms collecting garbage
Counts
29 → 5
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal 1/2 binary64) U)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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 (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (neg.f64 J) U))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) #s(approx (+ (/ 1/2 J) (/ J (* U U))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (fma.f64 J (/.f64 J (*.f64 U U)) #s(literal 1/2 binary64)) U)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.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))))
#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 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.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 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.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 (*.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 (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #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)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) 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 (*.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 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (fma.f64 (/.f64 J U) (/.f64 J U) #s(literal 1/4 binary64)) (*.f64 J J))) (*.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 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/4 binary64)) (*.f64 J J))) (*.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 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (pow.f64 U #s(literal -2 binary64))) (*.f64 U U)))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (neg U) (- (* (* (* J J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* U U))) -2) 1)) (fma.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) 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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (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:

9.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
87.2%5(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes44.0ms (1%)

Memory
-6.0MiB live, 87.5MiB allocated; 2ms collecting garbage
Counts
27 → 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)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal 1/2 binary64) U)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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 (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (neg.f64 J) U))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) #s(approx (+ (/ 1/2 J) (/ J (* U U))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (fma.f64 J (/.f64 J (*.f64 U U)) #s(literal 1/2 binary64)) U)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.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))))
#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 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.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 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.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 (*.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 (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #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)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))) 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 (*.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 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (fma.f64 (/.f64 J U) (/.f64 J U) #s(literal 1/4 binary64)) (*.f64 J J))) (*.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 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/4 binary64)) (*.f64 J J))) (*.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 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (pow.f64 U #s(literal -2 binary64))) (*.f64 U U)))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#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)))) U)
Calls

6 calls:

8.0ms
K
7.0ms
(/.f64 K #s(literal 2 binary64))
7.0ms
U
7.0ms
J
6.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
57.3%2U
50.5%2(/.f64 K #s(literal 2 binary64))
60.4%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
50.5%2K
53.9%2J
74.1%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)

regimes6.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Counts
17 → 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)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal 1/2 binary64) U)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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 (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (neg.f64 J) U))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) #s(approx (+ (/ 1/2 J) (/ J (* U U))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (fma.f64 J (/.f64 J (*.f64 U U)) #s(literal 1/2 binary64)) U)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.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))))
#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 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.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 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) 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)))) (*.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)))) 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
67.0%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)

regimes9.0ms (0.2%)

Memory
19.5MiB live, 19.5MiB allocated; 0ms collecting garbage
Counts
15 → 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)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal 1/2 binary64) U)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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 (* (neg U) (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (neg.f64 J) U))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) #s(approx (+ (/ 1/2 J) (/ J (* U U))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (fma.f64 J (/.f64 J (*.f64 U U)) #s(literal 1/2 binary64)) U)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.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))))
#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 #s(approx (+ (/ 1/4 (* J J)) (/ 1 (* U U))) (/.f64 #s(literal 1 binary64) (*.f64 U U))) (*.f64 U U)))) J) #s(literal -2 binary64)))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

2 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)))))
4.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
50.3%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
59.5%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 26 to 23 computations (11.5% saved)

regimes9.0ms (0.2%)

Memory
-28.2MiB live, 18.7MiB allocated; 2ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

6 calls:

2.0ms
K
1.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
U
1.0ms
J
Results
AccuracySegmentsBranch
47.4%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
38.7%2(/.f64 K #s(literal 2 binary64))
38.7%2K
35.8%1J
35.8%1U
47.4%2(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes6.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

6 calls:

1.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
U
1.0ms
K
1.0ms
J
Results
AccuracySegmentsBranch
13.2%1U
13.2%1J
13.2%1(/.f64 K #s(literal 2 binary64))
13.2%1K
13.2%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
13.2%1(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 32 to 37 computations (-15.6% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3706400706325488e+297
+inf
0.0ms
-inf
-5.064663522396303e+299
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3706400706325488e+297
+inf
0.0ms
-2.9080027900656953e-130
-4.4835704705614253e-132
0.0ms
-1.3452758019415244e+166
-2.8138909856674243e+164
0.0ms
-inf
-5.064663522396303e+299
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3706400706325488e+297
+inf
0.0ms
-2.9080027900656953e-130
-4.4835704705614253e-132
0.0ms
-1.3452758019415244e+166
-2.8138909856674243e+164
0.0ms
-inf
-5.064663522396303e+299
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3706400706325488e+297
+inf
0.0ms
-2.9080027900656953e-130
-4.4835704705614253e-132
0.0ms
-1.3452758019415244e+166
-2.8138909856674243e+164
0.0ms
-inf
-5.064663522396303e+299
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3706400706325488e+297
+inf
0.0ms
-3.229973257269606e-203
-6.344233619733007e-213
0.0ms
-1.9069897810351708e+148
-1.4421625454064787e+145
0.0ms
-inf
-5.064663522396303e+299
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
-1.1015903534629436e-277
1.2184744437659368e-222
0.0ms
-inf
-5.064663522396303e+299
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.1015903534629436e-277
1.2184744437659368e-222
0.0ms
-2.9080027900656953e-130
-4.4835704705614253e-132
0.0ms
-2.6718843483437186e+291
-2.1500944344721503e+291
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.1015903534629436e-277
1.2184744437659368e-222
0.0ms
-inf
-5.064663522396303e+299
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.1015903534629436e-277
1.2184744437659368e-222
Compiler

Compiled 25 to 23 computations (8% saved)

derivations243.0ms (5.4%)

Memory
3.6MiB live, 288.3MiB allocated; 14ms collecting garbage
Stop Event
fuel
Compiler

Compiled 270 to 140 computations (48.1% saved)

preprocess428.0ms (9.4%)

Memory
32.5MiB live, 658.9MiB allocated; 168ms collecting garbage
Remove

(negabs J)

(abs U)

(abs K)

Compiler

Compiled 8 738 to 5 321 computations (39.1% saved)

end0.0ms (0%)

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

Profiling

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