Maksimov and Kolovsky, Equation (3)

Time bar (total: 5.9s)

start0.0ms (0%)

Memory
0.2MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze315.0ms (5.3%)

Memory
6.1MiB live, 305.7MiB allocated; 80ms 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)

sample1.6s (27.2%)

Memory
58.1MiB live, 2 767.7MiB allocated; 634ms collecting garbage
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 852.0ms
ival-cos: 297.0ms (34.9% of total)
ival-mult!: 254.0ms (29.8% of total)
ival-pow2: 114.0ms (13.4% of total)
ival-div!: 83.0ms (9.7% of total)
ival-sqrt: 68.0ms (8% of total)
ival-add!: 34.0ms (4% of total)
adjust: 1.0ms (0.1% of total)
Bogosity

preprocess60.0ms (1%)

Memory
-5.4MiB live, 39.8MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075246
1235210
2996210
37406210
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.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)

series134.0ms (2.3%)

Memory
4.1MiB live, 104.4MiB allocated; 118ms collecting garbage
Counts
17 → 84
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 (* -2 (* (cos (* 1/2 K)) (sqrt (* 1/4 (/ (pow U 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 (* (cos (* 1/2 K)) (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) (* -1 (/ (* (pow J 2) (cos (* 1/2 K))) (sqrt (* 1/4 (/ (pow U 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 (* (cos (* 1/2 K)) (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) (* (pow J 2) (+ (* -1 (/ (cos (* 1/2 K)) (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) (* 1/4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 3))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* (cos (* 1/2 K)) (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) (* (pow J 2) (+ (* -1 (/ (cos (* 1/2 K)) (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) (* (pow J 2) (+ (* -1/8 (/ (* (pow J 2) (cos (* 1/2 K))) (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 5))) (* 1/4 (/ (cos (* 1/2 K)) (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 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 (/ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ (pow J 2) (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* (pow J 2) (+ (* -1/8 (/ (pow J 2) (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 3))) (* 1/2 (/ 1 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))))) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* (pow J 2) (+ (* (pow J 2) (- (* 1/16 (/ (pow J 2) (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 5))) (* 1/8 (/ 1 (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 3))))) (* 1/2 (/ 1 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))))) 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 (/ 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 (* 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 (* 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 (* J (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (/ (pow U 2) (* (pow J 2) (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))))))) (* (pow K 2) (+ (* -2 (* J (* (pow K 2) (+ (* -1/256 (/ (pow U 2) (* (pow J 2) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/2 (/ (- (* -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) (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 2))))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (* J (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (/ (pow U 2) (* (pow J 2) (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))))))) (* (pow K 2) (+ (* -2 (* J (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (/ (pow U 2) (* (pow J 2) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) (* (pow K 2) (+ (* -2 (* J (* (pow K 2) (+ (* -1/16 (/ (- (* -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) (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 2))))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* -1/46080 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/12288 (/ (pow U 2) (* (pow J 2) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (/ (- (* -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) (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 2)))))) (* (pow J 2) (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 2))))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (* J (+ (* -1/256 (/ (pow U 2) (* (pow J 2) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/2 (/ (- (* -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) (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 2))))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))))
#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 (* -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 (* 1/4 (/ (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 (* 1/4 (/ (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) (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 2)))))) (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))))) (* (pow K 2) (+ (* 1/32 (/ (pow U 2) (* (pow J 2) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 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) (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 2)))))) (* (pow J 2) (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 2)))))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (/ (- (* -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) (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 2))))) (sqrt (+ 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 (+ (* -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 (* -2 (* J (* U (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (* 1/4 (/ (* J (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1/8 (/ (* J (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 5)))) (* 1/4 (/ (* J (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (- (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (/ 1/8 (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (- (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (* 1/16 (/ 1 (* (pow U 6) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 5)))))) (* 1/8 (/ 1 (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3))))))))
#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 (* 2 (* J (* U (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (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 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (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 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (* 1/4 (/ (* J (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1/8 (/ (* J (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 5)))) (* 1/4 (/ (* J (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (sqrt (/ 1/4 (* (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 (* U (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* (pow U 2) (sqrt (/ 1/4 (* (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 (* U (- (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (/ 1/8 (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (- (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (* 1/16 (/ 1 (* (pow U 6) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 5)))))) (* 1/8 (/ 1 (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3)))))))))
Calls

9 calls:

TimeVariablePointExpression
83.0ms
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))
11.0ms
U
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -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))
8.0ms
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))
7.0ms
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))

rewrite175.0ms (3%)

Memory
12.7MiB live, 245.8MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05385239
05564851
131874678
081944504
Stop Event
iter-limit
node-limit
iter-limit
Counts
101 → 158
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 (* -2 (* (cos (* 1/2 K)) (sqrt (* 1/4 (/ (pow U 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 (* (cos (* 1/2 K)) (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) (* -1 (/ (* (pow J 2) (cos (* 1/2 K))) (sqrt (* 1/4 (/ (pow U 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 (* (cos (* 1/2 K)) (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) (* (pow J 2) (+ (* -1 (/ (cos (* 1/2 K)) (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) (* 1/4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 3))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* (cos (* 1/2 K)) (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) (* (pow J 2) (+ (* -1 (/ (cos (* 1/2 K)) (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) (* (pow J 2) (+ (* -1/8 (/ (* (pow J 2) (cos (* 1/2 K))) (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 5))) (* 1/4 (/ (cos (* 1/2 K)) (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 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 (/ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ (pow J 2) (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* (pow J 2) (+ (* -1/8 (/ (pow J 2) (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 3))) (* 1/2 (/ 1 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))))) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* (pow J 2) (+ (* (pow J 2) (- (* 1/16 (/ (pow J 2) (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 5))) (* 1/8 (/ 1 (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 3))))) (* 1/2 (/ 1 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))))) 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 (/ 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 (* 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 (* 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 (* J (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (/ (pow U 2) (* (pow J 2) (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))))))) (* (pow K 2) (+ (* -2 (* J (* (pow K 2) (+ (* -1/256 (/ (pow U 2) (* (pow J 2) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/2 (/ (- (* -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) (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 2))))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (* J (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (/ (pow U 2) (* (pow J 2) (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))))))) (* (pow K 2) (+ (* -2 (* J (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (/ (pow U 2) (* (pow J 2) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) (* (pow K 2) (+ (* -2 (* J (* (pow K 2) (+ (* -1/16 (/ (- (* -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) (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 2))))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* -1/46080 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/12288 (/ (pow U 2) (* (pow J 2) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (/ (- (* -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) (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 2)))))) (* (pow J 2) (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 2))))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (* J (+ (* -1/256 (/ (pow U 2) (* (pow J 2) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/2 (/ (- (* -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) (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 2))))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))))
#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 (* -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 (* 1/4 (/ (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 (* 1/4 (/ (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) (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 2)))))) (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))))) (* (pow K 2) (+ (* 1/32 (/ (pow U 2) (* (pow J 2) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 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) (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 2)))))) (* (pow J 2) (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 2)))))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (/ (- (* -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) (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 2))))) (sqrt (+ 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 (+ (* -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 (* -2 (* J (* U (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (* 1/4 (/ (* J (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1/8 (/ (* J (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 5)))) (* 1/4 (/ (* J (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (- (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (/ 1/8 (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (- (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (* 1/16 (/ 1 (* (pow U 6) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 5)))))) (* 1/8 (/ 1 (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3))))))))
#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 (* 2 (* J (* U (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (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 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (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 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (* 1/4 (/ (* J (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1/8 (/ (* J (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 5)))) (* 1/4 (/ (* J (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (sqrt (/ 1/4 (* (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 (* U (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* (pow U 2) (sqrt (/ 1/4 (* (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 (* U (- (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (/ 1/8 (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (- (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (* 1/16 (/ 1 (* (pow U 6) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 5)))))) (* 1/8 (/ 1 (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3)))))))))
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 (+.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) (exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal 3 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) (exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal 3 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) (exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal 3 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)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.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)))))
#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)) #s(literal -2 binary64)) (sqrt.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))) (neg.f64 (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.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)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.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)) #s(literal 3/2 binary64))) (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.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) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.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))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.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)) #s(literal 5/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.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)) #s(literal 3/2 binary64)))) (*.f64 J J) (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.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) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.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))))))
#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 (sqrt.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))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 (sqrt.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 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J J)) (sqrt.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))))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J J) (pow.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)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.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) (sqrt.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)))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 J J) (pow.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)) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (pow.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)) #s(literal -3/2 binary64)))) (*.f64 J J) (/.f64 #s(literal 1/2 binary64) (sqrt.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) (sqrt.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)))) J))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.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))))))) #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 (/ 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 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))) #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -1/4 binary64)))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (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 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 (*.f64 J J) (*.f64 J J))))))) 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 (/.f64 (*.f64 U U) (*.f64 (*.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))))))) #s(literal 1/8 binary64) #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 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))))))) #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 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))))))) #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.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))))))) #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 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (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 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (exp.f64 (fma.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64) (*.f64 (log.f64 J) #s(literal 6 binary64))))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.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 (*.f64 (*.f64 K K) J) (fma.f64 (/.f64 (*.f64 U U) (*.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) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -1/8 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 (*.f64 K K) J) (fma.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (fma.f64 #s(literal 1/384 binary64) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (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))))))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.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) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -1/8 binary64))) J))) (*.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 (*.f64 (*.f64 K K) J) (fma.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)))))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal -1/16 binary64) (fma.f64 #s(literal -1/46080 binary64) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) (*.f64 U U)) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 J J))))) (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 U U) (*.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 1/12288 binary64))))) (*.f64 (fma.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (fma.f64 #s(literal 1/384 binary64) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (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))))))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) J))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.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) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -1/8 binary64))) J) #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))) (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)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (/ 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 K K) (/.f64 (*.f64 U U) (*.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 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) (*.f64 K K)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 U U) (*.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))) (*.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 (*.f64 K K) (/.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) (*.f64 U U)) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 J J))))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 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)))))) (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 U U) (*.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))) (*.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 (*.f64 (*.f64 K K) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (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 (*.f64 (*.f64 K K) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))
#s(approx (pow (/ U (* (* 2 J) (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))) (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) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.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))))))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal -2 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 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))))))) #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 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 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 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 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 J #s(literal -2 binary64)) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 U U))))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))) #s(literal -2 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64)) (*.f64 (*.f64 U U) (*.f64 U U)))) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 U U)))))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 U U))))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (exp.f64 (fma.f64 (log.f64 U) #s(literal 6 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))) #s(literal 5 binary64))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64)) (*.f64 (*.f64 U U) (*.f64 U U)))) #s(literal 1/4 binary64)))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 U U))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 U U))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 U U))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 1/16 binary64) (exp.f64 (fma.f64 (log.f64 U) #s(literal 6 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))) #s(literal 5 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 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 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 U U) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (+.f64 J J) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 U U))))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))) #s(literal -2 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64)) (*.f64 (*.f64 U U) (*.f64 U U)))) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 U U)))))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 U U))))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (exp.f64 (fma.f64 (log.f64 U) #s(literal 6 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))) #s(literal 5 binary64))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64)) (*.f64 (*.f64 U U) (*.f64 U U)))) #s(literal 1/4 binary64)))) U)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))) U)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 U U))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))) U)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 U U))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))))) U)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 U U))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 1/16 binary64) (exp.f64 (fma.f64 (log.f64 U) #s(literal 6 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))) #s(literal 5 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))))) U)))

eval445.0ms (7.5%)

Memory
-138.9MiB live, 113.5MiB allocated; 751ms collecting garbage
Compiler

Compiled 3 767 to 934 computations (75.2% saved)

prune22.0ms (0.4%)

Memory
9.1MiB live, 55.4MiB allocated; 2ms collecting garbage
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New12622148
Fresh000
Picked101
Done000
Total12722149
Accuracy
94.4%
Counts
149 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)))))
62.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (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(literal 2 binary64)))))
62.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64)))))
64.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
54.3%
(*.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)))))
56.5%
(*.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)) (+.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)))))
85.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (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))))))))
1.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))) U))))
53.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
70.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
38.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.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(literal 2 binary64)))))
39.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
39.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
85.9%
(*.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)))))))))
51.4%
#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))))
29.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 U U))))) U))
1.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (+.f64 J J) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))))
56.5%
#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) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.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))))))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal -2 binary64)))
35.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
27.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.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)))))
25.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))))
0.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 U U))))) U)))
Compiler

Compiled 1 466 to 1 248 computations (14.9% saved)

series380.0ms (6.4%)

Memory
-1.0MiB live, 598.3MiB allocated; 105ms collecting garbage
Counts
61 → 286
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (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 (*.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)
(cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(asinh.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)))))
U
(*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(+.f64 J 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)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J)
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
(*.f64 J J)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) #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 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/384 binary64) (*.f64 K K))
#s(literal 1/384 binary64)
(*.f64 K K)
#s(literal 1/8 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (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(literal 2 binary64)))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #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(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #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)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) #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))))
(*.f64 #s(literal 2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (+.f64 J J) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 (+.f64 J J) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))
(sqrt.f64 (*.f64 (*.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 (*.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) (*.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))
(*.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)) (+.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)))))
(sqrt.f64 #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 (+ 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)))
(+.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))
(/.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))
(*.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 (*.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))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) #s(hole binary64 (* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))) (/ 1 (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))))))))))
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#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (sqrt (/ 1/4 (pow J 2))) (* 1/2 (/ 1 (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (- (+ (sqrt (/ 1/4 (pow J 2))) (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (/ 1/8 (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (- (+ (sqrt (/ 1/4 (pow J 2))) (+ (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (pow J 2))))) (* 1/16 (/ 1 (* (pow U 6) (pow (sqrt (/ 1/4 (pow J 2))) 5)))))) (* 1/8 (/ 1 (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (sqrt (/ 1/4 (* (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 (* U (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* (pow U 2) (sqrt (/ 1/4 (* (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 (* U (- (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (/ 1/8 (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (- (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (* 1/16 (/ 1 (* (pow U 6) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 5)))))) (* 1/8 (/ 1 (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3)))))))))
Calls

9 calls:

TimeVariablePointExpression
93.0ms
K
@-inf
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (asinh (/ U (* (+ J J) (cos (/ K 2))))) (/ U (* (+ J J) (cos (/ K 2)))) U (* (+ J J) (cos (/ K 2))) (+ J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 (* K K) 1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (* U (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))) (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))) (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) (+ 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) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) 1) (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))
69.0ms
K
@inf
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (asinh (/ U (* (+ J J) (cos (/ K 2))))) (/ U (* (+ J J) (cos (/ K 2)))) U (* (+ J J) (cos (/ K 2))) (+ J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 (* K K) 1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (* U (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))) (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))) (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) (+ 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) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) 1) (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))
35.0ms
U
@-inf
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (asinh (/ U (* (+ J J) (cos (/ K 2))))) (/ U (* (+ J J) (cos (/ K 2)))) U (* (+ J J) (cos (/ K 2))) (+ J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 (* K K) 1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (* U (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))) (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))) (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) (+ 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) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) 1) (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))
33.0ms
J
@0
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (asinh (/ U (* (+ J J) (cos (/ K 2))))) (/ U (* (+ J J) (cos (/ K 2)))) U (* (+ J J) (cos (/ K 2))) (+ J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 (* K K) 1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (* U (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))) (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))) (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) (+ 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) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) 1) (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))
31.0ms
U
@0
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (asinh (/ U (* (+ J J) (cos (/ K 2))))) (/ U (* (+ J J) (cos (/ K 2)))) U (* (+ J J) (cos (/ K 2))) (+ J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 (* K K) 1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (* U (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2 (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))) (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))) (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) (+ 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) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) 1) (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))

rewrite286.0ms (4.8%)

Memory
5.4MiB live, 373.1MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0212346462
0221144226
0915343058
Stop Event
iter-limit
node-limit
iter-limit
Counts
347 → 409
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (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 (*.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)
(cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(asinh.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)))))
U
(*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(+.f64 J 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)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J)
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
(*.f64 J J)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) #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 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/384 binary64) (*.f64 K K))
#s(literal 1/384 binary64)
(*.f64 K K)
#s(literal 1/8 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (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(literal 2 binary64)))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #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(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #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)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) #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))))
(*.f64 #s(literal 2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (+.f64 J J) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 (+.f64 J J) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))
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#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) #s(hole binary64 (+ (log (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))) (* -1 (log (/ -1 U))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) #s(hole binary64 (+ (log (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))) (+ (* -1 (log (/ -1 U))) (* 1/2 (/ 1 (* (pow U 2) (* (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) #s(hole binary64 (+ (log (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))) (+ (* -1 (log (/ -1 U))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 2) (pow (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))) 2)))) (* 3 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3) (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))))))) (pow U 4))) (/ 1/2 (* (pow U 2) (* (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) #s(hole binary64 (+ (log (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))) (+ (* -1 (log (/ -1 U))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 2) (pow (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))) 2)))) (* 3 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3) (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))))))) (pow U 4))) (+ (* 1/720 (/ (+ (* 30 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3) (pow (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))) 3)))) (+ (* 45 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 5) (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))))) (* 45 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 4) (pow (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))) 2)))))) (pow U 6))) (/ 1/2 (* (pow U 2) (* (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 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 (* U (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (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 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (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 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (* 1/4 (/ (* J (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1/8 (/ (* J (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 5)))) (* 1/4 (/ (* J (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3)))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* 2 (* J (* U (sqrt (/ 1/4 (pow J 2))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (+ (* -2 (* J (sqrt (/ 1/4 (pow J 2))))) (* -1 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (+ (* -2 (* J (sqrt (/ 1/4 (pow J 2))))) (+ (* -1 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (* 1/4 (/ J (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (+ (* -2 (* J (sqrt (/ 1/4 (pow J 2))))) (+ (* -1 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (+ (* -1/8 (/ J (* (pow U 6) (pow (sqrt (/ 1/4 (pow J 2))) 5)))) (* 1/4 (/ J (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3)))))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* J (* U (sqrt (/ 1/4 (pow J 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (* J (sqrt (/ 1/4 (pow J 2)))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3)))) (+ (* 1/2 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (* J (sqrt (/ 1/4 (pow J 2))))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3)))) (+ (* 1/16 (/ J (* (pow U 6) (pow (sqrt (/ 1/4 (pow J 2))) 5)))) (+ (* 1/2 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (* J (sqrt (/ 1/4 (pow J 2)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (sqrt (/ 1/4 (pow J 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (sqrt (/ 1/4 (pow J 2))) (* 1/2 (/ 1 (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (- (+ (sqrt (/ 1/4 (pow J 2))) (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (/ 1/8 (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (- (+ (sqrt (/ 1/4 (pow J 2))) (+ (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (pow J 2))))) (* 1/16 (/ 1 (* (pow U 6) (pow (sqrt (/ 1/4 (pow J 2))) 5)))))) (* 1/8 (/ 1 (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (sqrt (/ 1/4 (* (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 (* U (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* (pow U 2) (sqrt (/ 1/4 (* (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 (* U (- (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (/ 1/8 (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (- (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (* 1/16 (/ 1 (* (pow U 6) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 5)))))) (* 1/8 (/ 1 (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3)))))))))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (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 (*.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
(sin.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 (neg.f64 K) #s(literal -2 binary64))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(/.f64 (+.f64 (exp.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (exp.f64 (neg.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (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)))))))
(sqrt.f64 (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)))
(asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(log.f64 (+.f64 (/.f64 U (*.f64 (+.f64 J J) (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 (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)))))
U
(*.f64 (+.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 J J) (*.f64 J J)) (-.f64 J J))
(/.f64 (fma.f64 (*.f64 J J) J (*.f64 (*.f64 J J) J)) (fma.f64 J J (-.f64 (*.f64 J J) (*.f64 J J))))
(+.f64 J 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)))
(*.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)
(pow.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.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 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 U J) (/.f64 U J))
(/.f64 (neg.f64 (*.f64 U U)) (neg.f64 (*.f64 J J)))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 (fabs.f64 U) (fabs.f64 U))
(*.f64 (neg.f64 U) (neg.f64 U))
(*.f64 U U)
(pow.f64 U #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 U) #s(literal 2 binary64)))
(*.f64 (fabs.f64 J) (fabs.f64 J))
(*.f64 (neg.f64 J) (neg.f64 J))
(*.f64 J J)
(pow.f64 J #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64)))
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) #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 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K))) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
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#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* -2 J) (*.f64 #s(literal -2 binary64) J))
#s(approx J J)
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#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (+.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (fma.f64 #s(literal -1 binary64) (log.f64 J) (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.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)))))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.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 3/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 J J) (fma.f64 #s(literal 30 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.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)))))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 3 binary64))) (fma.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.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 5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (*.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.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 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.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)))))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))))
#s(approx (/ U (* (+ J J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (+ J J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ J J) (*.f64 #s(literal 2 binary64) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 1/2 binary64) (sqrt.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(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 1/2 binary64) (sqrt.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))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (sqrt.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(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 1/2 binary64) (sqrt.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))))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 1/2 binary64) (sqrt.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))))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.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 3/2 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 1/2 binary64) (sqrt.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))))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 1/2 binary64) (sqrt.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))))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.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 5/2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.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 3/2 binary64))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 J J) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 (*.f64 J J) (-.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J J) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 5/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J J) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 3/2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 J J) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 5/2 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) #s(literal -3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J J) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 3/2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))))) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 J J) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 5/2 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) #s(literal -3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))))) J))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 U U) (*.f64 J J)) (*.f64 J J)))
#s(approx (/ (* U U) (* J J)) (/.f64 (*.f64 U U) (*.f64 J J)))
#s(approx (* J J) (*.f64 J J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.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)))))))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J J) (*.f64 #s(literal 1/2 binary64) (sqrt.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))))))))))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J J) (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.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 3/2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.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))))))))))))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 J J) (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.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 5/2 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.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 -3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.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))))))))))))) J))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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)))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.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)))))) (*.f64 J J)) (*.f64 J J)))
#s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))
#s(approx (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))))
#s(approx (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
#s(approx (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))
#s(approx (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))
#s(approx (+ (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) 1) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
#s(approx (+ (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) 1) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (*.f64 J J)) (*.f64 J J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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)))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 (*.f64 J J) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))))) (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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)))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (pow.f64 J #s(literal 4 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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)))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 (*.f64 J J) J)))))))
#s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) #s(literal 1 binary64))
#s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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))))))))))
#s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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)))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 J J) J)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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)))))))))))
#s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))))) (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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)))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (pow.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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)))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 J J) J)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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))))))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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)))))))) J))) J))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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)))))))) J)))) J))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) (*.f64 (*.f64 J J) J)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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)))))))) J))))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal 2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))))) #s(literal 2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))))) #s(literal 2 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 J (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 J (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 J (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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))))))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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))))))))))
#s(approx (+ (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
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binary64) (*.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 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1 binary64) (*.f64 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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)))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) J))) (*.f64 (*.f64 J J) J)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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)))))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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)))))))) J))) J)))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) J) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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)))))))))) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) J) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))))) J) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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)))))))))) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 J (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal 1 binary64)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 J (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 J (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))))) #s(literal 1 binary64)))))
#s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
#s(approx (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))))
#s(approx (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))) (/.f64 #s(literal -1/2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
#s(approx (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))) (*.f64 #s(literal -1 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/16 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))))))))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (fma.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/16 binary64) (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 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#s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) #s(literal 3 binary64)) (*.f64 #s(literal 720 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))))))) J) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (*.f64 U U) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64))))))) (pow.f64 (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))) #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))) (*.f64 #s(literal 24 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J)))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 4 binary64))))))))))))))) (*.f64 #s(literal -2 binary64) (*.f64 J (fma.f64 #s(literal -1/16 binary64) (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/768 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))) (*.f64 #s(literal 24 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))) (*.f64 #s(literal 24 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 3 binary64))))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/4 binary64) J)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) J (*.f64 #s(literal 1/23040 binary64) (*.f64 J (*.f64 K K)))))))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)))) #s(literal 1/8 binary64)))))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
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#s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 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(/.f64 U (*.f64 J (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))) (*.f64 #s(literal 24 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 3 binary64))))))))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (+.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (/.f64 (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (+.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))) (*.f64 #s(literal 24 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (+.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -720 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J)))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 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#s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))))))) J) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (*.f64 U U) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64))))))) (pow.f64 (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))) #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))) (*.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))) (*.f64 #s(literal 24 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))))))))))
#s(approx (/ U (* (+ J J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
#s(approx (/ U (* (+ J J) (cos (/ K 2)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 K K) U) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
#s(approx (/ U (* (+ J J) (cos (/ K 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))))))
#s(approx (/ U (* (+ J J) (cos (/ K 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/16 binary64) (/.f64 U J) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))))))))))
#s(approx (* (+ J J) (cos (/ K 2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (+ J J) (cos (/ K 2))) (fma.f64 #s(literal 2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) J (*.f64 #s(literal 1/192 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* (+ J J) (cos (/ K 2))) (fma.f64 #s(literal 2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/23040 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/192 binary64) J)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))) (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (fma.f64 #s(literal 1/384 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))))))) (*.f64 #s(literal -2 binary64) (*.f64 J (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -2 binary64) (*.f64 J (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))) (fma.f64 #s(literal -1/46080 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (fma.f64 #s(literal 1/12288 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal 1/192 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64))))))) (pow.f64 (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))) #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))))))) (*.f64 #s(literal -2 binary64) (*.f64 J (fma.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (fma.f64 #s(literal 1/384 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))))))))))))
#s(approx (- (* 1/384 (* K K)) 1/8) #s(literal -1/8 binary64))
#s(approx (- (* 1/384 (* K K)) 1/8) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))
#s(approx (* 1/384 (* K K)) (*.f64 #s(literal 1/384 binary64) (*.f64 K K)))
#s(approx (* K K) (*.f64 K K))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (*.f64 K K) (*.f64 U U)) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal 1/192 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64))))))) (pow.f64 (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 K K) (*.f64 U U)) (*.f64 J J)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal 1/192 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.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 (*.f64 K K) (*.f64 U U)) (*.f64 J J)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal 1/192 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))))))
#s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J))))
#s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (fma.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))))
#s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (fma.f64 (*.f64 K K) (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J))) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64)))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 U (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))))))) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64)))))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))))
#s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (fma.f64 (*.f64 K K) (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J))) (*.f64 (*.f64 K K) (-.f64 (fma.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J))) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1/46080 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64)))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 U (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))))))) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 U (-.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 J J)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J))))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))))))) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))))) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J))))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))))))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64)))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 U (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))))))) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64)))))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))))
#s(approx (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (sqrt.f64 (*.f64 J J)))))
#s(approx (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 U (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (sqrt.f64 (*.f64 J J))))))
#s(approx (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (sqrt.f64 (*.f64 J J))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (/.f64 U (sqrt.f64 (*.f64 J J)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 U (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64)))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J))))))) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 U (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))))))))))
#s(approx (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (sqrt.f64 (*.f64 J J))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 U (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1/46080 binary64) (/.f64 U (sqrt.f64 (*.f64 J J)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 1/384 binary64) (/.f64 U (sqrt.f64 (*.f64 J J)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 U (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64)))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J))))))) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (-.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 J J)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J))))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J))))))) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 U (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))))) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J))))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J))))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/384 binary64) (/.f64 U (sqrt.f64 (*.f64 J J)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 U (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64)))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J))))))) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64)))))))))))))
#s(approx (* U (cos (* 1/2 K))) U)
#s(approx (* U (cos (* 1/2 K))) (+.f64 U (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) U))))
#s(approx (* U (cos (* 1/2 K))) (+.f64 U (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) U (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) U))))))
#s(approx (* U (cos (* 1/2 K))) (+.f64 U (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) U (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) U) (*.f64 #s(literal 1/384 binary64) U)))))))
#s(approx (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))
#s(approx (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 J J) (*.f64 K K)) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 J J))))))
#s(approx (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))) (fma.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (*.f64 J J) #s(literal 5/2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))))) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 J J) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 J J))))))
#s(approx (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))) (fma.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J))))))) (pow.f64 (*.f64 J J) #s(literal 5/2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (*.f64 J J) #s(literal 5/2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))))) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64)))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 J J)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J))))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))))) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64)))))))) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (*.f64 J J) #s(literal 5/2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))))) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 J J) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 J J))))))
#s(approx (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))) (sqrt.f64 (*.f64 J J)))
#s(approx (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))) (+.f64 (sqrt.f64 (*.f64 J J)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (*.f64 K K)) (sqrt.f64 (*.f64 J J))))))
#s(approx (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))) (+.f64 (sqrt.f64 (*.f64 J J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J))))))) (sqrt.f64 (*.f64 J J))))))))
#s(approx (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))) (+.f64 (sqrt.f64 (*.f64 J J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 J J))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 J J)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J))))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J))))))) (sqrt.f64 (*.f64 J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))))) (sqrt.f64 (*.f64 J J))))))))))
#s(approx (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 J J) (*.f64 K K)) (*.f64 J J)))
#s(approx (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) (fma.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 J J) (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 J J) (*.f64 K K)))) (*.f64 J J)))
#s(approx (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) (fma.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 J J) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (*.f64 J J) (*.f64 K K)) (*.f64 #s(literal 1/48 binary64) (*.f64 J J))))) (*.f64 J J)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 K K)) #s(literal 1/4 binary64)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (*.f64 K K)))) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 K)))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 (* 1/2 K)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 K)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 K K)) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 K)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (*.f64 K K)))) #s(literal 1/4 binary64)))))
#s(approx (cos (* 2 (* 1/2 K))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 K K))))
#s(approx (cos (* 2 (* 1/2 K))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 K K)) #s(literal 1/2 binary64)))))
#s(approx (cos (* 2 (* 1/2 K))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 K K)))) #s(literal 1/2 binary64)))))
#s(approx (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))
#s(approx (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 U U)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))
#s(approx (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (fma.f64 #s(literal 1/4 binary64) (*.f64 U U) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/16 binary64) (*.f64 U U) (*.f64 #s(literal 1/48 binary64) (*.f64 U U)))) (*.f64 #s(literal 1/16 binary64) (*.f64 U U))))))
#s(approx (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (fma.f64 #s(literal 1/4 binary64) (*.f64 U U) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/16 binary64) (*.f64 U U) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/1440 binary64) (*.f64 U U) (fma.f64 #s(literal 1/192 binary64) (*.f64 U U) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (*.f64 U U) (*.f64 #s(literal 1/48 binary64) (*.f64 U U))))))) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (*.f64 U U) (*.f64 #s(literal 1/48 binary64) (*.f64 U U))))))))))
#s(approx (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) (*.f64 U U))
#s(approx (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) (*.f64 U U)) (*.f64 U U)))
#s(approx (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) (fma.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/16 binary64) (*.f64 U U) (*.f64 #s(literal 1/48 binary64) (*.f64 U U))))) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 U U)))
#s(approx (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) (fma.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/1440 binary64) (*.f64 U U) (fma.f64 #s(literal 1/192 binary64) (*.f64 U U) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (*.f64 U U) (*.f64 #s(literal 1/48 binary64) (*.f64 U U)))))))) (fma.f64 #s(literal -1/16 binary64) (*.f64 U U) (*.f64 #s(literal 1/48 binary64) (*.f64 U U))))) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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)))))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))))
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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)))))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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))))))))))))))
#s(approx (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (*.f64 #s(literal 1/384 binary64) (pow.f64 K #s(literal 4 binary64))))
#s(approx (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (*.f64 (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1/384 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 K K))))))
#s(approx (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (*.f64 (pow.f64 K #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1/384 binary64) (pow.f64 K #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 K K))))))
#s(approx (- (* 1/384 (* K K)) 1/8) (*.f64 (*.f64 K K) (-.f64 #s(literal 1/384 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 K K))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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)))))))))))
#s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 J (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
#s(approx (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))))
#s(approx (* U (cos (* 1/2 K))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
#s(approx (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))) (sqrt.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 K)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
#s(approx (cos (* 2 (* 1/2 K))) (cos.f64 K))
#s(approx (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))
#s(approx (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) (/.f64 (*.f64 U U) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.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))))))))))))
#s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.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))))))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (*.f64 U (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (*.f64 U (fma.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 3/1280 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (*.f64 U (fma.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 U U) (fma.f64 #s(literal -5/14336 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 7 binary64))) (*.f64 #s(literal 3/1280 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) J))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) J))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 J J) J))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) J))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (+.f64 J (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) J))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (+.f64 J (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) J)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) J))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (+.f64 J (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 5 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 J J) J)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) J))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J J)))))))
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#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))) (fma.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 5/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64))))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 J (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 5/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 5/2 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64))))))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 1/8 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 5/2 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.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 binary64) (*.f64 U U)))))
#s(approx (+ (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) 1) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))
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#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (+.f64 (log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) U)) (fma.f64 #s(literal -1/24 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) #s(literal 3 binary64))) (fma.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 5/2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))) (*.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))))))) (pow.f64 U #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 1/4 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 5/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64)))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))) (fma.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))) (fma.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 5/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 5/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 5/2 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 1/8 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 5/2 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64)))))))))

eval96.0ms (1.6%)

Memory
10.7MiB live, 104.5MiB allocated; 62ms collecting garbage
Compiler

Compiled 28 246 to 3 366 computations (88.1% saved)

prune36.0ms (0.6%)

Memory
6.8MiB live, 55.3MiB allocated; 4ms collecting garbage
Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New38525410
Fresh11617
Picked415
Done000
Total40032432
Accuracy
99.9%
Counts
432 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)))))
64.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
56.5%
(*.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)) #s(approx (+ (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))))))
36.2%
(*.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)) #s(approx (+ (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) 1) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.f64 #s(literal 1 binary64) (*.f64 U U))))))))
71.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 #s(approx (/ U (* (+ J J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
53.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
70.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
85.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))))
32.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))
39.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
45.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))))))))
46.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))))))
3.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) #s(approx (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (*.f64 #s(literal 1/384 binary64) (pow.f64 K #s(literal 4 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(approx (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (*.f64 #s(literal 1/384 binary64) (pow.f64 K #s(literal 4 binary64))))))) #s(literal 2 binary64)))))
1.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (+.f64 J J) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))))))
6.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (+.f64 J J) #s(approx (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (sqrt.f64 (*.f64 J J)))))))
35.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
43.1%
#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)))
24.5%
#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 U U) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))) J) #s(literal -2 binary64)))
9.4%
#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 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) J) #s(literal -2 binary64)))
27.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.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)))))
20.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) J) #s(literal -2 binary64)))
5.4%
#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)) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))))))) J) #s(literal -2 binary64)))
22.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))))) #s(literal -2 binary64)))
23.8%
#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 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))) #s(literal -2 binary64)))
6.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))))) #s(literal -2 binary64)))
6.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))) #s(literal -2 binary64)))
22.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64)))
1.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
6.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))))
50.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))))
30.2%
#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 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
6.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))
Compiler

Compiled 2 386 to 2 134 computations (10.6% saved)

series116.0ms (2%)

Memory
28.1MiB live, 168.8MiB allocated; 13ms collecting garbage
Counts
55 → 248
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))))
(asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))
U
(*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 J J)
#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) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64)))
(*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))
(*.f64 #s(literal 1/4 binary64) (*.f64 U U))
#s(literal 1/4 binary64)
(*.f64 U 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(literal 1 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(*.f64 K K)
#s(literal -1/8 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))))
#s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))
#s(literal -1 binary64)
(/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(cos.f64 K)
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) #s(hole binary64 (* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))) (/ 1 (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))) (/ 1 (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* 1/2 (/ (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))) (* (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))))) (* 1/2 (/ 1 (* (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))) (* (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))) (/ 1 (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (* 1/2 (/ (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))) (* (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))))) (* 1/2 (/ 1 (* (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))) (* (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (+ (* 1/4 (/ 1 (* (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))) (* (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 2) (pow (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K))))) 2))))) (* (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))) (+ (* -1/24 (+ (* 3 (/ 1 (* (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 2) (pow (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K))))) 2)))) (* 3 (/ 1 (* (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 3) (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))))))) (* 1/8 (/ 1 (* (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 2) (pow (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K))))) 2))))))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 2) (pow (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K))))) 2)))) (* 3 (/ 1 (* (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 3) (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K))))))))) (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))))) (* 1/8 (/ 1 (* (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))) (* (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 2) (pow (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K))))) 2))))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))) (/ 1 (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (* 1/2 (/ (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))) (* (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))))) (* 1/2 (/ 1 (* (exp (+ (log (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))) (* -1 (log J)))) (* (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))))))))) (* (pow J 2) 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#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))
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#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) #s(hole binary64 (+ (log (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))) (+ (* -1 (log (/ -1 U))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 2) (pow (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))) 2)))) (* 3 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3) (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))))))) (pow U 4))) (/ 1/2 (* (pow U 2) (* (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) #s(hole binary64 (+ (log (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))) (+ (* -1 (log (/ -1 U))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 2) (pow (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))) 2)))) (* 3 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3) (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))))))) (pow U 4))) (+ (* 1/720 (/ (+ (* 30 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3) (pow (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))) 3)))) (+ (* 45 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 5) (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))))) (* 45 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 4) (pow (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))) 2)))))) (pow U 6))) (/ 1/2 (* (pow U 2) (* (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 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 (* U (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (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 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (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 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (* 1/4 (/ (* J (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1/8 (/ (* J (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 5)))) (* 1/4 (/ (* J (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3)))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* 2 (* J (* U (sqrt (/ 1/4 (pow J 2))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (+ (* -2 (* J (sqrt (/ 1/4 (pow J 2))))) (* -1 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (+ (* -2 (* J (sqrt (/ 1/4 (pow J 2))))) (+ (* -1 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (* 1/4 (/ J (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (+ (* -2 (* J (sqrt (/ 1/4 (pow J 2))))) (+ (* -1 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (+ (* -1/8 (/ J (* (pow U 6) (pow (sqrt (/ 1/4 (pow J 2))) 5)))) (* 1/4 (/ J (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3)))))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* J (* U (sqrt (/ 1/4 (pow J 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (* J (sqrt (/ 1/4 (pow J 2)))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3)))) (+ (* 1/2 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (* J (sqrt (/ 1/4 (pow J 2))))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3)))) (+ (* 1/16 (/ J (* (pow U 6) (pow (sqrt (/ 1/4 (pow J 2))) 5)))) (+ (* 1/2 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (* J (sqrt (/ 1/4 (pow J 2)))))))))))
#s(approx (sqrt (* 1/4 (* U U))) #s(hole binary64 (* -1/2 U)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (sqrt (/ 1/4 (pow J 2)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (sqrt (/ 1/4 (pow J 2))) (* 1/2 (/ 1 (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (- (+ (sqrt (/ 1/4 (pow J 2))) (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (/ 1/8 (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (- (+ (sqrt (/ 1/4 (pow J 2))) (+ (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (pow J 2))))) (* 1/16 (/ 1 (* (pow U 6) (pow (sqrt (/ 1/4 (pow J 2))) 5)))))) (* 1/8 (/ 1 (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (sqrt (/ 1/4 (* (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 (* U (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* (pow U 2) (sqrt (/ 1/4 (* (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 (* U (- (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (/ 1/8 (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (- (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (* 1/16 (/ 1 (* (pow U 6) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 5)))))) (* 1/8 (/ 1 (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3)))))))))
Calls

9 calls:

TimeVariablePointExpression
15.0ms
K
@inf
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2 K (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (asinh (/ U (* (+ J J) (cos (/ K 2))))) (/ U (* (+ J J) (cos (/ K 2)))) U (* (+ J J) (cos (/ K 2))) (+ J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (* 1/4 (* U U))) (* 1/4 (* U U)) 1/4 (* U 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) 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ (* (* K K) -1/8) 1) (* K K) -1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) 2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (* -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K)))))) -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* U (cos (* 1/2 K))) (cos (* 1/2 K)) (sqrt (+ 1/2 (* 1/2 (cos K)))) (+ 1/2 (* 1/2 (cos K))) (* 1/2 (cos K)) (cos K))
14.0ms
K
@-inf
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2 K (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (asinh (/ U (* (+ J J) (cos (/ K 2))))) (/ U (* (+ J J) (cos (/ K 2)))) U (* (+ J J) (cos (/ K 2))) (+ J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (* 1/4 (* U U))) (* 1/4 (* U U)) 1/4 (* U 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) 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ (* (* K K) -1/8) 1) (* K K) -1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) 2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (* -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K)))))) -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* U (cos (* 1/2 K))) (cos (* 1/2 K)) (sqrt (+ 1/2 (* 1/2 (cos K)))) (+ 1/2 (* 1/2 (cos K))) (* 1/2 (cos K)) (cos K))
13.0ms
K
@0
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2 K (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (asinh (/ U (* (+ J J) (cos (/ K 2))))) (/ U (* (+ J J) (cos (/ K 2)))) U (* (+ J J) (cos (/ K 2))) (+ J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (* 1/4 (* U U))) (* 1/4 (* U U)) 1/4 (* U 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) 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ (* (* K K) -1/8) 1) (* K K) -1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) 2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (* -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K)))))) -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* U (cos (* 1/2 K))) (cos (* 1/2 K)) (sqrt (+ 1/2 (* 1/2 (cos K)))) (+ 1/2 (* 1/2 (cos K))) (* 1/2 (cos K)) (cos K))
12.0ms
U
@inf
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2 K (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (asinh (/ U (* (+ J J) (cos (/ K 2))))) (/ U (* (+ J J) (cos (/ K 2)))) U (* (+ J J) (cos (/ K 2))) (+ J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (* 1/4 (* U U))) (* 1/4 (* U U)) 1/4 (* U 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) 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ (* (* K K) -1/8) 1) (* K K) -1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) 2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (* -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K)))))) -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* U (cos (* 1/2 K))) (cos (* 1/2 K)) (sqrt (+ 1/2 (* 1/2 (cos K)))) (+ 1/2 (* 1/2 (cos K))) (* 1/2 (cos K)) (cos K))
10.0ms
U
@-inf
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2 K (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (asinh (/ U (* (+ J J) (cos (/ K 2))))) (/ U (* (+ J J) (cos (/ K 2)))) U (* (+ J J) (cos (/ K 2))) (+ J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (* 1/4 (* U U))) (* 1/4 (* U U)) 1/4 (* U 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) 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ (* (* K K) -1/8) 1) (* K K) -1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) 2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (* -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K)))))) -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* U (cos (* 1/2 K))) (cos (* 1/2 K)) (sqrt (+ 1/2 (* 1/2 (cos K)))) (+ 1/2 (* 1/2 (cos K))) (* 1/2 (cos K)) (cos K))

rewrite281.0ms (4.8%)

Memory
-4.9MiB live, 364.9MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0190244063
0195540969
0823039858
Stop Event
iter-limit
node-limit
iter-limit
Counts
303 → 349
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))))
(asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))
U
(*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 J J)
#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) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64)))
(*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))
(*.f64 #s(literal 1/4 binary64) (*.f64 U U))
#s(literal 1/4 binary64)
(*.f64 U U)
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#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) #s(hole binary64 (+ (log (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))) (+ (* -1 (log (/ -1 U))) (* 1/2 (/ 1 (* (pow U 2) (* (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) #s(hole binary64 (+ (log (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))) (+ (* -1 (log (/ -1 U))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 2) (pow (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))) 2)))) (* 3 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3) (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))))))) (pow U 4))) (/ 1/2 (* (pow U 2) (* (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) #s(hole binary64 (+ (log (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))) (+ (* -1 (log (/ -1 U))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 2) (pow (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))) 2)))) (* 3 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3) (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))))))) (pow U 4))) (+ (* 1/720 (/ (+ (* 30 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3) (pow (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))) 3)))) (+ (* 45 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 5) (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K))))))))) (* 45 (/ 1 (* (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 4) (pow (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))) 2)))))) (pow U 6))) (/ 1/2 (* (pow U 2) (* (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (- (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 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 (* U (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (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 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (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 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (* 1/4 (/ (* J (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (+ (* -2 (* J (* (cos (* 1/2 K)) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1 (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* -1/8 (/ (* J (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 5)))) (* 1/4 (/ (* J (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3)))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* 2 (* J (* U (sqrt (/ 1/4 (pow J 2))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (+ (* -2 (* J (sqrt (/ 1/4 (pow J 2))))) (* -1 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (+ (* -2 (* J (sqrt (/ 1/4 (pow J 2))))) (+ (* -1 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (* 1/4 (/ J (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (+ (* -2 (* J (sqrt (/ 1/4 (pow J 2))))) (+ (* -1 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (+ (* -1/8 (/ J (* (pow U 6) (pow (sqrt (/ 1/4 (pow J 2))) 5)))) (* 1/4 (/ J (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3)))))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* J (* U (sqrt (/ 1/4 (pow J 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (* J (sqrt (/ 1/4 (pow J 2)))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3)))) (+ (* 1/2 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (* J (sqrt (/ 1/4 (pow J 2))))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3)))) (+ (* 1/16 (/ J (* (pow U 6) (pow (sqrt (/ 1/4 (pow J 2))) 5)))) (+ (* 1/2 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (* J (sqrt (/ 1/4 (pow J 2)))))))))))
#s(approx (sqrt (* 1/4 (* U U))) #s(hole binary64 (* -1/2 U)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (sqrt (/ 1/4 (pow J 2)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (sqrt (/ 1/4 (pow J 2))) (* 1/2 (/ 1 (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (- (+ (sqrt (/ 1/4 (pow J 2))) (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (/ 1/8 (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (- (+ (sqrt (/ 1/4 (pow J 2))) (+ (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (pow J 2))))) (* 1/16 (/ 1 (* (pow U 6) (pow (sqrt (/ 1/4 (pow J 2))) 5)))))) (* 1/8 (/ 1 (* (pow U 4) (pow (sqrt (/ 1/4 (pow J 2))) 3)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (sqrt (/ 1/4 (* (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 (* U (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ 1 (* (pow U 2) (sqrt (/ 1/4 (* (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 (* U (- (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (/ 1/8 (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (- (+ (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (* 1/16 (/ 1 (* (pow U 6) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 5)))))) (* 1/8 (/ 1 (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 3)))))))))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sin.f64 (+.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(/.f64 (+.f64 (exp.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))) (exp.f64 (neg.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))))
(cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))))
(sqrt.f64 (fma.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 1 binary64)))
(asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))
(log.f64 (+.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))))))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))
U
(*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (-.f64 (*.f64 J J) (*.f64 J J)) (-.f64 J J))
(/.f64 (fma.f64 (*.f64 J J) J (*.f64 (*.f64 J J) J)) (fma.f64 J J (-.f64 (*.f64 J J) (*.f64 J J))))
(+.f64 J J)
#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) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64)))
(*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)))
(pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))
(*.f64 #s(literal 1/4 binary64) (*.f64 U U))
#s(literal 1/4 binary64)
(*.f64 (fabs.f64 U) (fabs.f64 U))
(*.f64 (neg.f64 U) (neg.f64 U))
(*.f64 U U)
(pow.f64 U #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 U) #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)))
(*.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)
(pow.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.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 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (fabs.f64 (/.f64 U J)) (fabs.f64 (/.f64 U J)))
(*.f64 (neg.f64 (/.f64 U J)) (neg.f64 (/.f64 U J)))
(*.f64 (/.f64 U J) (/.f64 U J))
(pow.f64 (/.f64 U J) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 U U)) (neg.f64 (*.f64 J J)))
(/.f64 (*.f64 U U) (*.f64 J J))
(/.f64 (neg.f64 U) (neg.f64 J))
(/.f64 U J)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(*.f64 (fabs.f64 K) (fabs.f64 K))
(*.f64 (neg.f64 K) (neg.f64 K))
(*.f64 K K)
(pow.f64 K #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 K) #s(literal 2 binary64)))
#s(literal -1/8 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(*.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))))) #s(literal 2 binary64)))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
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(cos.f64 K)
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#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* -2 J) (*.f64 #s(literal -2 binary64) J))
#s(approx J J)
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#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (+.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (fma.f64 #s(literal -1 binary64) (log.f64 J) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 J J) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.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)))))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.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 3/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.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)))))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (+.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (fma.f64 #s(literal -1 binary64) (log.f64 J) (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.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)))))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.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 3/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 J J) (fma.f64 #s(literal 30 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.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)))))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 3 binary64))) (fma.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.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 5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (*.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.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 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.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)))))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))))
#s(approx (/ U (* (+ J J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (+ J J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ J J) (*.f64 #s(literal 2 binary64) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 1/2 binary64) (sqrt.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(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 1/2 binary64) (sqrt.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))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (sqrt.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(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 1/2 binary64) (sqrt.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))))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 1/2 binary64) (sqrt.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))))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.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 3/2 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 1/2 binary64) (sqrt.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))))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 1/2 binary64) (sqrt.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))))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.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 5/2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.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 3/2 binary64))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 J J) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 (*.f64 J J) (-.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J J) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 5/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J J) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 3/2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 J J) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 5/2 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) #s(literal -3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) J))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))) J))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J J) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 3/2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))))) J))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 J J) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 5/2 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) #s(literal -3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))))))) J))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 U U) (*.f64 J J)) (*.f64 J J)))
#s(approx (* (/ U J) (/ U J)) (/.f64 (*.f64 U U) (*.f64 J J)))
#s(approx (/ U J) (/.f64 U J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.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)))))))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J J) (*.f64 #s(literal 1/2 binary64) (sqrt.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))))))))))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J J) (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.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 3/2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.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))))))))))))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.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))))))) (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 J J) (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.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 5/2 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.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 -3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.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))))))))))))) J))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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)))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.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)))))) (*.f64 J J)) (*.f64 J J)))
#s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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)))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 (*.f64 J J) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))))) (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) 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#s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (pow.f64 J #s(literal 4 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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)))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 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#s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) #s(literal 1 binary64))
#s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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))))))))))
#s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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)))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.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)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 J J) J)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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)))))))))))
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#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) (*.f64 (*.f64 J J) J)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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)))))))) J))))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal 2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))))) #s(literal 2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))))) #s(literal 2 binary64))))
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#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))
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#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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))))))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
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#s(literal -1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal 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#s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) J)) (*.f64 (*.f64 J J) J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
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#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) J) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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)))))))))) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) J) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))))) J) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.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)))))) (*.f64 #s(literal 1/4 binary64) (/.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)))))))))) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))))
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#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 J (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 J (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))))) #s(literal 1 binary64)))))
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(/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (*.f64 U U) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64))))))) (pow.f64 (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))) #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))) (*.f64 #s(literal 24 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J)))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 4 binary64))))))))))))))) (*.f64 #s(literal -2 binary64) (*.f64 J (fma.f64 #s(literal -1/16 binary64) (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/768 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))) (*.f64 #s(literal 24 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))) (*.f64 #s(literal 24 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 3 binary64))))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/4 binary64) J)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) J (*.f64 #s(literal 1/23040 binary64) (*.f64 J (*.f64 K K)))))))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)))) #s(literal 1/8 binary64)))))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))))
#s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))))
#s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U 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(/.f64 U (*.f64 J (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))) (*.f64 #s(literal 24 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 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(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 3 binary64))))))))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (+.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (/.f64 (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (+.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))) (*.f64 #s(literal 24 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (+.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -720 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 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#s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))))))) J) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (*.f64 U U) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64))))))) (pow.f64 (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))) #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))) (*.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))) (*.f64 #s(literal 24 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))))))))))
#s(approx (/ U (* (+ J J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
#s(approx (/ U (* (+ J J) (cos (/ K 2)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 K K) U) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
#s(approx (/ U (* (+ J J) (cos (/ K 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))))))
#s(approx (/ U (* (+ J J) (cos (/ K 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/16 binary64) (/.f64 U J) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))))))))))
#s(approx (* (+ J J) (cos (/ K 2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (+ J J) (cos (/ K 2))) (fma.f64 #s(literal 2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) J (*.f64 #s(literal 1/192 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* (+ J J) (cos (/ K 2))) (fma.f64 #s(literal 2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/23040 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/192 binary64) J)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))) (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (fma.f64 #s(literal 1/384 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))))))) (*.f64 #s(literal -2 binary64) (*.f64 J (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -2 binary64) (*.f64 J (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))) (fma.f64 #s(literal -1/46080 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (fma.f64 #s(literal 1/12288 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal 1/192 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64))))))) (pow.f64 (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))) #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))))))) (*.f64 #s(literal -2 binary64) (*.f64 J (fma.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (fma.f64 #s(literal 1/384 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))))))))))))
#s(approx (* K K) (*.f64 K K))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (*.f64 K K) (*.f64 U U)) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal 1/192 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64))))))) (pow.f64 (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))) #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 K K) (*.f64 U U)) (*.f64 J J)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal 1/192 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.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 (*.f64 K K) (*.f64 U U)) (*.f64 J J)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal 1/192 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))))))
#s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J))))
#s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (fma.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))))
#s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (fma.f64 (*.f64 K K) (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J))) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64)))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 U (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))))))) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64)))))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))))
#s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (fma.f64 (*.f64 K K) (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J))) (*.f64 (*.f64 K K) (-.f64 (fma.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J))) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1/46080 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64)))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 U (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))))))) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 U (-.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 J J)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J))))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))))))) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))))) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J))))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))))))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64)))))) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 U (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 J J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 J J)) (sqrt.f64 (*.f64 J J)))))))) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64)))))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) J) U) (pow.f64 (*.f64 J J) #s(literal 3/2 binary64))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))))
#s(approx (* -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (*.f64 #s(literal -1 binary64) U))
#s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U)
#s(approx (* U (cos (* 1/2 K))) (+.f64 U (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) U))))
#s(approx (* U (cos (* 1/2 K))) (+.f64 U (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) U (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) U))))))
#s(approx (* U (cos (* 1/2 K))) (+.f64 U (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) U (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) U) (*.f64 #s(literal 1/384 binary64) U)))))))
#s(approx (+ 1/2 (* 1/2 (cos K))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
#s(approx (+ 1/2 (* 1/2 (cos K))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 K K)) #s(literal 1/4 binary64)))))
#s(approx (+ 1/2 (* 1/2 (cos K))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (*.f64 K K)))) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (cos K)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos K)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
#s(approx (* 1/2 (cos K)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 K K)) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (cos K)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (*.f64 K K)))) #s(literal 1/4 binary64)))))
#s(approx (cos K) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 K K))))
#s(approx (cos K) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 K K)) #s(literal 1/2 binary64)))))
#s(approx (cos K) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 K K)))) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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)))))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))))
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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)))))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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))))))))))))))
#s(approx (+ (* (* K K) -1/8) 1) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
#s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.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)))))))))))
#s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 J (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
#s(approx (* U (cos (* 1/2 K))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (sqrt (+ 1/2 (* 1/2 (cos K)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))
#s(approx (+ 1/2 (* 1/2 (cos K))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))
#s(approx (* 1/2 (cos K)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
#s(approx (cos K) (cos.f64 K))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.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))))))))))))
#s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.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))))))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (*.f64 U (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (*.f64 U (fma.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 3/1280 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (*.f64 U (fma.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 U U) (fma.f64 #s(literal -5/14336 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 7 binary64))) (*.f64 #s(literal 3/1280 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) J))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) J))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 J J) J))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) J))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (+.f64 J (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) J))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (+.f64 J (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) J)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) J))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (+.f64 J (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 5 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 J J) J)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) J))))))
#s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal 1/2 binary64) U))
#s(approx (* 1/4 (* U U)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))
#s(approx (* U U) (*.f64 U U))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J J)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 6 binary64)))) (*.f64 #s(literal 1/128 binary64) (pow.f64 J #s(literal -4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J J)))))))
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#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))) (fma.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 5/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64))))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 J (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 5/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 5/2 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64))))))))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 1/8 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 5/2 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.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 binary64) (*.f64 U U)))))
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#s(approx (asinh (/ U (* (+ J J) (cos (/ K 2))))) (+.f64 (log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) U)) (fma.f64 #s(literal -1/24 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) #s(literal 3 binary64))) (fma.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 5/2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))) (*.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))))))) (pow.f64 U #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 1/4 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 5/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64)))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))) (*.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))) (fma.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64))))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))) (fma.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 5/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 5/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))))
#s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 5/2 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 1/8 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 5/2 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.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))))))) #s(literal 3/2 binary64)))))))))

eval61.0ms (1%)

Memory
1.9MiB live, 88.3MiB allocated; 18ms collecting garbage
Compiler

Compiled 25 352 to 2 518 computations (90.1% saved)

prune52.0ms (0.9%)

Memory
-18.4MiB live, 28.3MiB allocated; 2ms collecting garbage
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New2814285
Fresh131326
Picked235
Done011
Total29621317
Accuracy
99.9%
Counts
317 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)))))
56.5%
(*.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)) #s(approx (+ (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))))))
36.2%
(*.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)) #s(approx (+ (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) 1) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.f64 #s(literal 1 binary64) (*.f64 U U))))))))
70.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
85.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))))
53.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) #s(literal 1 binary64)))
32.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))
32.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))
35.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
43.1%
#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)))
24.5%
#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 U U) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))) J) #s(literal -2 binary64)))
20.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) J) #s(literal -2 binary64)))
5.4%
#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)) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))))))) J) #s(literal -2 binary64)))
22.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))))) #s(literal -2 binary64)))
23.8%
#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 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))) #s(literal -2 binary64)))
6.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))) #s(literal -2 binary64)))
22.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64)))
13.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
38.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
30.2%
#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 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
6.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))
Compiler

Compiled 1 491 to 1 346 computations (9.7% saved)

series174.0ms (3%)

Memory
35.1MiB live, 277.4MiB allocated; 56ms collecting garbage
Counts
56 → 235
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
#s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U)))
(*.f64 #s(literal -1 binary64) #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))
#s(literal -1 binary64)
#s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) 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 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) J) #s(literal -2 binary64))
(*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) J)
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))
(*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))
(sqrt.f64 (*.f64 J J))
(*.f64 J J)
#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 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))) #s(literal -2 binary64)))
(*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))) #s(literal -2 binary64))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))))
(*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))
(/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))
(*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))
(*.f64 U U)
(*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))
#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 binary64) (*.f64 U (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))) #s(literal -2 binary64)))
(*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))) #s(literal -2 binary64))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))
(*.f64 U (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))
#s(literal -1/8 binary64)
(/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))
(pow.f64 U #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64))
(/.f64 #s(literal 1/4 binary64) (*.f64 J J))
#s(literal 1/4 binary64)
#s(literal 3/2 binary64)
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (cos (* 1/2 K)) (sqrt (* 1/4 (/ (pow U 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 (* (cos (* 1/2 K)) (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) (* -1 (/ (* (pow J 2) (cos (* 1/2 K))) (sqrt (* 1/4 (/ (pow U 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 (* (cos (* 1/2 K)) (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) (* (pow J 2) (+ (* -1 (/ (cos (* 1/2 K)) (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) (* 1/4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 3))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* (cos (* 1/2 K)) (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) (* (pow J 2) (+ (* -1 (/ (cos (* 1/2 K)) (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) (* (pow J 2) (+ (* -1/8 (/ (* (pow J 2) (cos (* 1/2 K))) (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 5))) (* 1/4 (/ (cos (* 1/2 K)) (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 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 (/ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ (pow J 2) (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* (pow J 2) (+ (* -1/8 (/ (pow J 2) (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 3))) (* 1/2 (/ 1 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))))) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* (pow J 2) (+ (* (pow J 2) (- (* 1/16 (/ (pow J 2) (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 5))) (* 1/8 (/ 1 (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 3))))) (* 1/2 (/ 1 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))))) 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 (/ 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 (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) #s(hole binary64 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* -2 (sqrt (* 1/4 (pow U 2))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 (sqrt (* 1/4 (pow U 2)))) (* -1 (/ (pow J 2) (sqrt (* 1/4 (pow U 2))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 (sqrt (* 1/4 (pow U 2)))) (* (pow J 2) (- (* 1/4 (/ (pow J 2) (pow (sqrt (* 1/4 (pow U 2))) 3))) (/ 1 (sqrt (* 1/4 (pow U 2)))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 (sqrt (* 1/4 (pow U 2)))) (* (pow J 2) (- (* (pow J 2) (+ (* -1/8 (/ (pow J 2) (pow (sqrt (* 1/4 (pow U 2))) 5))) (* 1/4 (/ 1 (pow (sqrt (* 1/4 (pow U 2))) 3))))) (/ 1 (sqrt (* 1/4 (pow U 2)))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (sqrt (* 1/4 (pow U 2)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (sqrt (* 1/4 (pow U 2))) (* 1/2 (/ (pow J 2) (sqrt (* 1/4 (pow U 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (sqrt (* 1/4 (pow U 2))) (* (pow J 2) (+ (* -1/8 (/ (pow J 2) (pow (sqrt (* 1/4 (pow U 2))) 3))) (* 1/2 (/ 1 (sqrt (* 1/4 (pow U 2))))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ (sqrt (* 1/4 (pow U 2))) (* (pow J 2) (+ (* (pow J 2) (- (* 1/16 (/ (pow J 2) (pow (sqrt (* 1/4 (pow U 2))) 5))) (* 1/8 (/ 1 (pow (sqrt (* 1/4 (pow U 2))) 3))))) (* 1/2 (/ 1 (sqrt (* 1/4 (pow U 2))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (sqrt (* 1/4 (pow U 2))) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (sqrt (* 1/4 (pow U 2))) (* 1/2 (/ (pow J 2) (sqrt (* 1/4 (pow U 2)))))) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (sqrt (* 1/4 (pow U 2))) (* (pow J 2) (+ (* -1/8 (/ (pow J 2) (pow (sqrt (* 1/4 (pow U 2))) 3))) (* 1/2 (/ 1 (sqrt (* 1/4 (pow U 2)))))))) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (sqrt (* 1/4 (pow U 2))) (* (pow J 2) (+ (* (pow J 2) (- (* 1/16 (/ (pow J 2) (pow (sqrt (* 1/4 (pow U 2))) 5))) (* 1/8 (/ 1 (pow (sqrt (* 1/4 (pow U 2))) 3))))) (* 1/2 (/ 1 (sqrt (* 1/4 (pow U 2)))))))) J)))
#s(approx (* U (/ 1/2 (sqrt (* J J)))) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (/ 1/2 (sqrt (* J J))) #s(hole binary64 (/ 1/2 J)))
#s(approx (* J J) #s(hole binary64 (pow J 2)))
#s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) #s(hole binary64 (* 1/2 U)))
#s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) #s(hole binary64 (+ (* 1/2 U) (/ (pow J 2) U))))
#s(approx (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))) #s(hole binary64 1/2))
#s(approx (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))) #s(hole binary64 (+ 1/2 (/ (pow J 2) (pow U 2)))))
#s(approx (/ J (* (* U U) (/ 1/2 (sqrt (* J J))))) #s(hole binary64 (* 2 (/ (pow J 2) (pow U 2)))))
#s(approx (* (* U U) (/ 1/2 (sqrt (* J J)))) #s(hole binary64 (* 1/2 (/ (pow U 2) J))))
#s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) #s(hole binary64 (* -1/2 U)))
#s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) #s(hole binary64 (+ (* -1/2 U) (* 1/8 (/ J (* (pow U 3) (exp (* 3/2 (+ (log 1/4) (* -2 (log J)))))))))))
#s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) #s(hole binary64 (+ (* -1/2 U) (* J (+ (* -1 (/ J U)) (* 1/8 (/ 1 (* (pow U 3) (exp (* 3/2 (+ (log 1/4) (* -2 (log J)))))))))))))
#s(approx (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))))) #s(hole binary64 (+ (* -1/8 (/ J (* (pow U 3) (exp (* 3/2 (+ (log 1/4) (* -2 (log J)))))))) (* 1/2 U))))
#s(approx (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))))) #s(hole binary64 (+ (* 1/2 U) (* J (- (/ J U) (* 1/8 (/ 1 (* (pow U 3) (exp (* 3/2 (+ (log 1/4) (* -2 (log J)))))))))))))
#s(approx (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) #s(hole binary64 (+ 1/2 (* -1/8 (/ J (* (pow U 4) (exp (* 3/2 (+ (log 1/4) (* -2 (log J)))))))))))
#s(approx (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) #s(hole binary64 (+ 1/2 (* J (- (/ J (pow U 2)) (* 1/8 (/ 1 (* (pow U 4) (exp (* 3/2 (+ (log 1/4) (* -2 (log J)))))))))))))
#s(approx (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2))) #s(hole binary64 (/ J (* (pow U 4) (exp (* 3/2 (+ (log 1/4) (* -2 (log J)))))))))
#s(approx (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)) #s(hole binary64 (* (pow U 4) (exp (* 3/2 (+ (log 1/4) (* -2 (log J))))))))
#s(approx (pow (/ 1/4 (* J J)) 3/2) #s(hole binary64 (exp (* 3/2 (+ (log 1/4) (* -2 (log J)))))))
#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 (* 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 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) #s(hole binary64 (/ (pow J 2) U)))
#s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) #s(hole binary64 (* (pow J 2) (+ (* 1/2 (/ U (pow J 2))) (/ 1 U)))))
#s(approx (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))) #s(hole binary64 (/ (pow J 2) (pow U 2))))
#s(approx (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))) #s(hole binary64 (* (pow J 2) (+ (* 1/2 (/ 1 (pow J 2))) (/ 1 (pow U 2))))))
#s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) #s(hole binary64 (* -1 (/ (pow J 2) U))))
#s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) #s(hole binary64 (* (pow J 2) (- (* 1/8 (/ 1 (* J (* (pow U 3) (exp (* 3/2 (+ (log 1/4) (* 2 (log (/ 1 J)))))))))) (/ 1 U)))))
#s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) #s(hole binary64 (* (pow J 2) (- (+ (* -1/2 (/ U (pow J 2))) (/ 1/8 (* J (* (pow U 3) (exp (* 3/2 (+ (log 1/4) (* 2 (log (/ 1 J)))))))))) (/ 1 U)))))
#s(approx (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))))) #s(hole binary64 (* (pow J 2) (- (/ 1 U) (* 1/8 (/ 1 (* J (* (pow U 3) (exp (* 3/2 (+ (log 1/4) (* 2 (log (/ 1 J))))))))))))))
#s(approx (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))))) #s(hole binary64 (* (pow J 2) (- (+ (* 1/2 (/ U (pow J 2))) (/ 1 U)) (/ 1/8 (* J (* (pow U 3) (exp (* 3/2 (+ (log 1/4) (* 2 (log (/ 1 J)))))))))))))
#s(approx (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) #s(hole binary64 (* (pow J 2) (- (/ 1 (pow U 2)) (* 1/8 (/ 1 (* J (* (pow U 4) (exp (* 3/2 (+ (log 1/4) (* 2 (log (/ 1 J))))))))))))))
#s(approx (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) #s(hole binary64 (* (pow J 2) (- (+ (/ 1/2 (pow J 2)) (/ 1 (pow U 2))) (/ 1/8 (* J (* (pow U 4) (exp (* 3/2 (+ (log 1/4) (* 2 (log (/ 1 J)))))))))))))
#s(approx (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2))) #s(hole binary64 (/ J (* (pow U 4) (exp (* 3/2 (+ (log 1/4) (* 2 (log (/ 1 J))))))))))
#s(approx (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)) #s(hole binary64 (* (pow U 4) (exp (* 3/2 (+ (log 1/4) (* 2 (log (/ 1 J)))))))))
#s(approx (pow (/ 1/4 (* J J)) 3/2) #s(hole binary64 (exp (* 3/2 (+ (log 1/4) (* 2 (log (/ 1 J))))))))
#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))))))))))
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Calls

9 calls:

TimeVariablePointExpression
39.0ms
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) (* 1/2 K) 1/2 K (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) 2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (* -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K)))))) -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* U (/ 1/2 (sqrt (* J J)))) (/ 1/2 (sqrt (* J J))) (sqrt (* J J)) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))) (/ J (* (* U U) (/ 1/2 (sqrt (* J J))))) (* (* U U) (/ 1/2 (sqrt (* J J)))) (* U U) (* J (/ 1/2 (sqrt (* J J)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))))) (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2))) (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)) (pow U 4) 4 (pow (/ 1/4 (* J J)) 3/2) (/ 1/4 (* J J)) 1/4 3/2)
27.0ms
U
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2 K (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) 2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (* -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K)))))) -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* U (/ 1/2 (sqrt (* J J)))) (/ 1/2 (sqrt (* J J))) (sqrt (* J J)) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))) (/ J (* (* U U) (/ 1/2 (sqrt (* J J))))) (* (* U U) (/ 1/2 (sqrt (* J J)))) (* U U) (* J (/ 1/2 (sqrt (* J J)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))))) (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2))) (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)) (pow U 4) 4 (pow (/ 1/4 (* J J)) 3/2) (/ 1/4 (* J J)) 1/4 3/2)
23.0ms
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) (* 1/2 K) 1/2 K (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) 2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (* -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K)))))) -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* U (/ 1/2 (sqrt (* J J)))) (/ 1/2 (sqrt (* J J))) (sqrt (* J J)) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))) (/ J (* (* U U) (/ 1/2 (sqrt (* J J))))) (* (* U U) (/ 1/2 (sqrt (* J J)))) (* U U) (* J (/ 1/2 (sqrt (* J J)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))))) (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2))) (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)) (pow U 4) 4 (pow (/ 1/4 (* J J)) 3/2) (/ 1/4 (* J J)) 1/4 3/2)
23.0ms
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) (* 1/2 K) 1/2 K (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) 2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (* -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K)))))) -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* U (/ 1/2 (sqrt (* J J)))) (/ 1/2 (sqrt (* J J))) (sqrt (* J J)) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))) (/ J (* (* U U) (/ 1/2 (sqrt (* J J))))) (* (* U U) (/ 1/2 (sqrt (* J J)))) (* U U) (* J (/ 1/2 (sqrt (* J J)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))))) (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2))) (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)) (pow U 4) 4 (pow (/ 1/4 (* J J)) 3/2) (/ 1/4 (* J J)) 1/4 3/2)
22.0ms
U
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2 K (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) 2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (* -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K)))))) -1 (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* U (/ 1/2 (sqrt (* J J)))) (/ 1/2 (sqrt (* J J))) (sqrt (* J J)) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))) (/ J (* (* U U) (/ 1/2 (sqrt (* J J))))) (* (* U U) (/ 1/2 (sqrt (* J J)))) (* U U) (* J (/ 1/2 (sqrt (* J J)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))))) (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2))) (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)) (pow U 4) 4 (pow (/ 1/4 (* J J)) 3/2) (/ 1/4 (* J J)) 1/4 3/2)

rewrite236.0ms (4%)

Memory
-4.4MiB live, 224.6MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0123513366
0129012056
1696411785
0845711415
Stop Event
iter-limit
node-limit
iter-limit
Counts
291 → 418
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
#s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U)))
(*.f64 #s(literal -1 binary64) #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))
#s(literal -1 binary64)
#s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) 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 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) J) #s(literal -2 binary64))
(*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) J)
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))
(*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))
(sqrt.f64 (*.f64 J J))
(*.f64 J J)
#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 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))) #s(literal -2 binary64)))
(*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))) #s(literal -2 binary64))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))))
(*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))
(/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))
(*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))
(*.f64 U U)
(*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))
#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 binary64) (*.f64 U (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))) #s(literal -2 binary64)))
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#s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ J (sqrt (pow J 2)))) (/ (* J (sqrt (pow J 2))) (pow U 2)))))))
#s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) #s(hole binary64 (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (pow J 2)) 3/2)))) (+ (* 1/2 (/ J (sqrt (pow J 2)))) (/ (* J (sqrt (pow J 2))) (pow U 2))))))))
#s(approx (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* J (sqrt (pow J 2))) (pow U 2))) (+ (* -1/2 (/ J (sqrt (pow J 2)))) (* 1/8 (/ J (* (pow U 4) (pow (/ 1/4 (pow J 2)) 3/2))))))))))
Outputs
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))))))
(*.f64 (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sin.f64 (+.f64 (neg.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))
(cos.f64 (neg.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))
(+.f64 (*.f64 (sin.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
(pow.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(cosh.f64 (asinh.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 1 binary64))))
(cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 1 binary64)) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 1 binary64))
(+.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 1 binary64)) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 1 binary64)))
(*.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))
(pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))))
(/.f64 (/.f64 U (+.f64 J J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))
U
(*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (+.f64 J J))
(*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 J J) (*.f64 J J)) (-.f64 J J))
(/.f64 (fma.f64 (*.f64 J J) J (*.f64 (*.f64 J J) J)) (fma.f64 J J (-.f64 (*.f64 J J) (*.f64 J J))))
(+.f64 J J)
#s(literal 2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
#s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U)))
(*.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))
(neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))
#s(literal -1 binary64)
#s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)) J) #s(literal -2 binary64))
(*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)) J))
(*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)) J)
(*.f64 J #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)
(*.f64 (/.f64 U (fabs.f64 J)) #s(literal 1/2 binary64))
(*.f64 U (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)))
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fabs.f64 J)))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) (fabs.f64 J))
(pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1/2 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 J)))
(/.f64 #s(literal 1/2 binary64) (fabs.f64 J))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))
(*.f64 (pow.f64 (pow.f64 J #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 J #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (fabs.f64 J) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fabs.f64 J) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 J) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 J) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 J) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 J) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 J #s(literal 1/2 binary64)) (pow.f64 J #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 J) (sqrt.f64 J))
(pow.f64 (*.f64 J J) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 J J))
(fabs.f64 J)
(*.f64 (pow.f64 (sqrt.f64 J) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 J) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 J #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 J #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fabs.f64 J) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fabs.f64 J) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 J) #s(literal 1 binary64)) (pow.f64 (neg.f64 J) #s(literal 1 binary64)))
(*.f64 (pow.f64 J #s(literal 1 binary64)) (pow.f64 J #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 J) #s(literal 1 binary64)) (pow.f64 (fabs.f64 J) #s(literal 1 binary64)))
(*.f64 (neg.f64 J) (neg.f64 J))
(*.f64 (fabs.f64 J) (fabs.f64 J))
(*.f64 J J)
(pow.f64 (fabs.f64 J) #s(literal 2 binary64))
(pow.f64 (*.f64 J J) #s(literal 1 binary64))
(pow.f64 J #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 J)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (fabs.f64 J)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (fabs.f64 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 (/.f64 J (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J)) U)) #s(literal -2 binary64)))
(*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (fma.f64 (/.f64 J (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J)) U)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (fma.f64 (/.f64 J (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J)) U)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (fma.f64 (/.f64 J (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J)) U))
(*.f64 (fma.f64 (/.f64 J (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J)) U)
(*.f64 U (fma.f64 (/.f64 J (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) U (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J) U))
(fma.f64 U (/.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J)))
(+.f64 (*.f64 U (/.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) U) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J) U))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) (/.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J)))
(/.f64 (fma.f64 (pow.f64 (/.f64 J (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) (/.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J (/.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))))
(fma.f64 (/.f64 J (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J))
(fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J))
(fma.f64 J (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) (*.f64 (neg.f64 J) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J) (/.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))) (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))))) (*.f64 J J) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 5/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 3/2 binary64)))) (*.f64 J J) (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))))) (*.f64 J J) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))))))
#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 (sqrt.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J J) (pow.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))))) (*.f64 J J) (sqrt.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 J J)) (pow.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 3/2 binary64)))) (*.f64 J J) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))))) (*.f64 J J) (sqrt.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))) J))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (/.f64 (fma.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 J J)))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.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 (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 J J)) (pow.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64))))) (*.f64 J J) (*.f64 (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) #s(literal -2 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 J J) (pow.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) #s(literal 5/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) #s(literal 3/2 binary64)))) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64))))) (*.f64 J J))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (fma.f64 (/.f64 (*.f64 J J) (pow.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64))))) (*.f64 J J) (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 J J)) (pow.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) #s(literal 3/2 binary64)))) (*.f64 J J) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64))))) (*.f64 J J) (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)))) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 J J) (pow.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64))))) (*.f64 J J) (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)))) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 J J)) (pow.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) #s(literal 3/2 binary64)))) (*.f64 J J) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64))))) (*.f64 J J) (sqrt.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)))) J))
#s(approx (* U (/ 1/2 (sqrt (* J J)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
#s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal 1/2 binary64) J))
#s(approx (* J J) (*.f64 J J))
#s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (*.f64 U #s(literal 1/2 binary64)))
#s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)))
#s(approx (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))) #s(literal 1/2 binary64))
#s(approx (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))) (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64)))
#s(approx (/ J (* (* U U) (/ 1/2 (sqrt (* J J))))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U U)))
#s(approx (* (* U U) (/ 1/2 (sqrt (* J J)))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1/2 binary64)))
#s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (*.f64 #s(literal -1/2 binary64) U))
#s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (fma.f64 (/.f64 J (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) U))) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) U)))
#s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (fma.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) U))) (/.f64 (neg.f64 J) U)) J (*.f64 #s(literal -1/2 binary64) U)))
#s(approx (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))))) (fma.f64 (/.f64 J (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) U))) #s(literal -1/8 binary64) (*.f64 U #s(literal 1/2 binary64))))
#s(approx (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))))) (fma.f64 (-.f64 (/.f64 J U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) U)))) J (*.f64 U #s(literal 1/2 binary64))))
#s(approx (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (fma.f64 (/.f64 J (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U)))) #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (fma.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U))))) J #s(literal 1/2 binary64)))
#s(approx (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2))) (/.f64 J (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U)))))
#s(approx (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U))))
#s(approx (pow (/ 1/4 (* J J)) 3/2) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))))
#s(approx (/ 1/4 (* J J)) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))) #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -1/4 binary64)))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 J J) J)))) #s(literal -1/512 binary64) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 (*.f64 J J) (*.f64 J J))))))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
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#s(approx (pow (/ 1/4 (* J J)) 3/2) (exp.f64 (*.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 J))) #s(literal 2 binary64) (log.f64 #s(literal 1/4 binary64))) #s(literal 3/2 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 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 (*.f64 (*.f64 K K) J) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -1/8 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 (*.f64 K K) J) (fma.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (fma.f64 #s(literal 1/384 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 (*.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 (pow.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) (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 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -1/8 binary64))) J))) (*.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 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -1/8 binary64))) J) #s(literal -2 binary64) (*.f64 (*.f64 K K) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 (*.f64 K K) J) (fma.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 (pow.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal -1/16 binary64) (fma.f64 #s(literal -1/46080 binary64) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (fma.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 (pow.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) (*.f64 U U)) (pow.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))))) (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 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/12288 binary64))))) (*.f64 (fma.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (fma.f64 #s(literal 1/384 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 (*.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 (pow.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) (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)))) J))))) (*.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))) (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)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (/ 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 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (*.f64 (*.f64 K K) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) #s(literal 1/32 binary64) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (*.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 (pow.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) (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 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/32 binary64))) (*.f64 K K) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 K K) (/.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 (pow.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) (*.f64 U U)) (pow.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))))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 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 (pow.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))))) (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 (*.f64 U U) (*.f64 (*.f64 J J) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1/32 binary64))) (*.f64 K K) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal 1/16 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64)) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/16 binary64))) (*.f64 K K))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 U (/.f64 U (*.f64 J J))) (fma.f64 #s(literal 1/192 binary64) (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64)) #s(literal 1/4 binary64)))) (*.f64 K K) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64)))) (*.f64 K K) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/16 binary64))) (*.f64 K K) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 (*.f64 (*.f64 K K) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal 1/16 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64)) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/16 binary64))) (*.f64 K K) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 U (/.f64 U (*.f64 J J))) (fma.f64 #s(literal 1/192 binary64) (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64)) #s(literal 1/4 binary64)))) (*.f64 K K) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/24 binary64)))) (*.f64 K K) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/16 binary64))) (*.f64 K K) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 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 #s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 (*.f64 (/.f64 U J) #s(literal -5/384 binary64)) #s(literal 1/8 binary64)))) (*.f64 K K) (*.f64 (/.f64 U J) #s(literal -5/384 binary64)))) (*.f64 K K) (*.f64 (/.f64 U J) #s(literal 1/16 binary64))) (*.f64 K K))))
#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 (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 J (/.f64 U (fabs.f64 J))))
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#s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U)
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 J) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J J) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) 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 -1/8 binary64) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J J) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (*.f64 (*.f64 U U) (*.f64 U U)))) #s(literal 1/4 binary64))) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 J) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 U U)))))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 J) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 J) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 U U))) (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 J) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 J) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 U U))) (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 J) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J J) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J J) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) 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)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 J) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 U U)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 J) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J J) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))))) U))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J J) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.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 1/2 binary64) (fabs.f64 J)) U) J) #s(literal -2 binary64)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J) #s(literal -2 binary64) (/.f64 (neg.f64 J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))) U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J) #s(literal -2 binary64) (fma.f64 (/.f64 J (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U)))) #s(literal 1/4 binary64) (/.f64 (neg.f64 J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))))) U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (+.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J) #s(literal -2 binary64) (/.f64 (neg.f64 J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))) (fma.f64 (/.f64 J (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)))) #s(literal -1/8 binary64) (*.f64 (/.f64 J (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U)))) #s(literal 1/4 binary64)))) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U) J))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (fma.f64 (/.f64 J (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J)) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (fma.f64 (/.f64 J (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 J (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J))) U))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (fma.f64 (/.f64 J (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 J (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 J (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J)))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U))))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U))))) U))
#s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U J)) (fabs.f64 J)))
#s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (*.f64 (fma.f64 (/.f64 J (fabs.f64 J)) #s(literal 1/2 binary64) (/.f64 (*.f64 (fabs.f64 J) J) (*.f64 U U))) U))
#s(approx (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))) (*.f64 (/.f64 J (fabs.f64 J)) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))) (fma.f64 (/.f64 J (fabs.f64 J)) #s(literal 1/2 binary64) (/.f64 (*.f64 (fabs.f64 J) J) (*.f64 U U))))
#s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 U J)) (fabs.f64 J)))
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#s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (*.f64 U (+.f64 (fma.f64 (/.f64 J (fabs.f64 J)) #s(literal -1/2 binary64) (*.f64 (/.f64 J (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U)))) #s(literal 1/8 binary64))) (/.f64 (*.f64 (neg.f64 J) (fabs.f64 J)) (*.f64 U U)))))
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#s(approx (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (fma.f64 (/.f64 J (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 J (fabs.f64 J)) #s(literal 1/2 binary64) (/.f64 (*.f64 (fabs.f64 J) J) (*.f64 U U)))))
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#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 J) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 J) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 U U))) (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 J) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 J) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 U U))) (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 J) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J J) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (*.f64 (*.f64 U U) (*.f64 U U)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J J) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) 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)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 J) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 U U)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 J) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J J) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))))) U)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (+.f64 J J) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (neg.f64 U) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J) #s(literal -2 binary64) (/.f64 (neg.f64 J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (neg.f64 U) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J) #s(literal -2 binary64) (fma.f64 (/.f64 J (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U)))) #s(literal 1/4 binary64) (/.f64 (neg.f64 J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (neg.f64 U) (+.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J) #s(literal -2 binary64) (/.f64 (neg.f64 J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))) (fma.f64 (/.f64 J (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)))) #s(literal -1/8 binary64) (*.f64 (/.f64 J (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U)))) #s(literal 1/4 binary64))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (neg.f64 J) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (neg.f64 U) (fma.f64 (/.f64 J (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (neg.f64 U) (fma.f64 (/.f64 J (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 J (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 (neg.f64 U) (fma.f64 (/.f64 J (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 J (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 J (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U)))))))
#s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 J (fabs.f64 J)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 J) (fabs.f64 J)) (*.f64 U U)))))
#s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 J (fabs.f64 J)) #s(literal 1/2 binary64) (/.f64 (*.f64 (fabs.f64 J) J) (*.f64 U U)))))
#s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 J (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 J (fabs.f64 J)) #s(literal 1/2 binary64) (/.f64 (*.f64 (fabs.f64 J) J) (*.f64 U U))))))
#s(approx (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J))))))) (neg.f64 (*.f64 U (+.f64 (fma.f64 (/.f64 J (fabs.f64 J)) #s(literal -1/2 binary64) (*.f64 (/.f64 J (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (*.f64 (*.f64 U U) (*.f64 U U)))) #s(literal 1/8 binary64))) (/.f64 (*.f64 (neg.f64 J) (fabs.f64 J)) (*.f64 U U))))))

eval71.0ms (1.2%)

Memory
-11.2MiB live, 128.8MiB allocated; 24ms collecting garbage
Compiler

Compiled 11 888 to 3 300 computations (72.2% saved)

prune51.0ms (0.9%)

Memory
10.2MiB live, 103.2MiB allocated; 5ms collecting garbage
Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New46723490
Fresh8412
Picked505
Done134
Total48130511
Accuracy
99.9%
Counts
511 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 (sin.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)))))
56.5%
(*.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)) #s(approx (+ (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))))))
70.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)) #s(literal 1 binary64))))
36.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J J) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 U U))) (*.f64 U U)))))
85.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))))
53.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
32.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))
32.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))
35.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
43.1%
#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)))
24.5%
#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 U U) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))) J) #s(literal -2 binary64)))
30.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))) U)) J) #s(literal -2 binary64)))
19.7%
#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 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (exp.f64 (*.f64 (log.f64 (fabs.f64 J)) #s(literal 2 binary64))))))) J) #s(literal -2 binary64)))
20.1%
#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 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) J) #s(literal -2 binary64)))
30.0%
#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 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
10.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) J) #s(literal -2 binary64)))
30.2%
#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)))
37.0%
#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 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 J) (sqrt.f64 J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 J) (sqrt.f64 J))))))) #s(literal -2 binary64)))
11.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) (*.f64 J #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))))) #s(literal -2 binary64)))
38.0%
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
4.0%
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 J J) U))) #s(literal -2 binary64)))
32.5%
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U J)) (fabs.f64 J)))) #s(literal -2 binary64)))
4.8%
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (*.f64 (-.f64 (*.f64 (/.f64 U (*.f64 J J)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J)))) #s(literal -2 binary64)))
3.7%
#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) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 J) (fabs.f64 J) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 U U) J)) (fabs.f64 J))) (*.f64 U U) (*.f64 (/.f64 J (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 U U) U)))) #s(literal -2 binary64)))
13.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
2.4%
#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) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (neg.f64 (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
10.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 J (/.f64 U (fabs.f64 J)))))
38.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
39.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J) #s(literal -2 binary64) (/.f64 (neg.f64 J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))) U)))
30.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) J)))
Compiler

Compiled 2 818 to 1 725 computations (38.8% saved)

regimes131.0ms (2.2%)

Memory
7.0MiB live, 152.2MiB allocated; 38ms collecting garbage
Counts
75 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) 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) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J 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 (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 J (/.f64 U (fabs.f64 J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 J J) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (neg.f64 (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U J)) (fabs.f64 J)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (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 (+.f64 J J) #s(approx (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (sqrt.f64 (*.f64 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) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/4 binary64)) #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 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (*.f64 (-.f64 (*.f64 (/.f64 U (*.f64 J J)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) U)) (*.f64 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) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) (*.f64 J #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))) U)) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J) #s(literal -2 binary64) (/.f64 (neg.f64 J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) 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 U U) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (exp.f64 (*.f64 (log.f64 (fabs.f64 J)) #s(literal 2 binary64))))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 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 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 J) (sqrt.f64 J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 J) (sqrt.f64 J))))))) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))))))
(*.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 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 J) (fabs.f64 J) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 U U) J)) (fabs.f64 J))) (*.f64 U U) (*.f64 (/.f64 J (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 U U) U)))) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 #s(approx (/ U (* (+ J J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) #s(approx (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (*.f64 #s(literal 1/384 binary64) (pow.f64 K #s(literal 4 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(approx (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (*.f64 #s(literal 1/384 binary64) (pow.f64 K #s(literal 4 binary64))))))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))))))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.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(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#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 binary64) (*.f64 U (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 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 J J) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))))))
#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)) #s(literal -2 binary64)) (sqrt.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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (+.f64 J J) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 (*.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)) #s(approx (+ (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))) U))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (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(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) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.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))))))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #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)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)) #s(literal 1 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 (*.f64 (*.f64 #s(literal -2 binary64) J) (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 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J J) (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.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 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(approx (+ (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) 1) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.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 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 U U))))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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))))))))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 U U))))) U)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 (sin.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #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 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
Calls

6 calls:

31.0ms
J
22.0ms
(/.f64 K #s(literal 2 binary64))
20.0ms
U
19.0ms
K
17.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
85.9%1(/.f64 K #s(literal 2 binary64))
85.9%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
99.9%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
94.6%2J
85.9%1K
92.0%2U
Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes19.0ms (0.3%)

Memory
24.2MiB live, 24.2MiB allocated; 0ms collecting garbage
Counts
64 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) 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) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J 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 (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 J (/.f64 U (fabs.f64 J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 J J) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (neg.f64 (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U J)) (fabs.f64 J)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
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(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (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(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) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.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))))))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #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)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
Calls

1 calls:

14.0ms
(*.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
98.6%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes54.0ms (0.9%)

Memory
-5.7MiB live, 84.6MiB allocated; 7ms collecting garbage
Counts
62 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) 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) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J 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 (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 J (/.f64 U (fabs.f64 J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 J J) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (neg.f64 (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U J)) (fabs.f64 J)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (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 (+.f64 J J) #s(approx (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (sqrt.f64 (*.f64 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) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/4 binary64)) #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 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (*.f64 (-.f64 (*.f64 (/.f64 U (*.f64 J J)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) U)) (*.f64 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) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) (*.f64 J #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))) U)) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J) #s(literal -2 binary64) (/.f64 (neg.f64 J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) 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 U U) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (exp.f64 (*.f64 (log.f64 (fabs.f64 J)) #s(literal 2 binary64))))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 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 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 J) (sqrt.f64 J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 J) (sqrt.f64 J))))))) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))))))
(*.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 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 J) (fabs.f64 J) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 U U) J)) (fabs.f64 J))) (*.f64 U U) (*.f64 (/.f64 J (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 U U) U)))) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 #s(approx (/ U (* (+ J J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) #s(approx (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (*.f64 #s(literal 1/384 binary64) (pow.f64 K #s(literal 4 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(approx (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (*.f64 #s(literal 1/384 binary64) (pow.f64 K #s(literal 4 binary64))))))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))))))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.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(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#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 binary64) (*.f64 U (fma.f64 #s(literal -1/8 binary64) (/.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 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 J J) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))))))
#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)) #s(literal -2 binary64)) (sqrt.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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (+.f64 J J) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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 (*.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)) #s(approx (+ (/ (* (/ (* U U) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))) 1/4) (* J J)) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.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)))))))) U))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (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(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) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.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))))))) #s(literal 1/4 binary64) #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)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (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 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) (*.f64 J #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))))) #s(literal -2 binary64)))
Calls

3 calls:

18.0ms
J
16.0ms
U
14.0ms
(*.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
86.5%2U
87.8%2J
93.4%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 23 computations (4.2% saved)

regimes17.0ms (0.3%)

Memory
-23.0MiB live, 26.0MiB allocated; 7ms collecting garbage
Counts
43 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) 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) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J 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 (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 J (/.f64 U (fabs.f64 J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 J J) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (neg.f64 (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U J)) (fabs.f64 J)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (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 (+.f64 J J) #s(approx (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (sqrt.f64 (*.f64 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) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/4 binary64)) #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 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (*.f64 (-.f64 (*.f64 (/.f64 U (*.f64 J J)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) U)) (*.f64 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) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) (*.f64 J #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))) U)) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J) #s(literal -2 binary64) (/.f64 (neg.f64 J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) 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 U U) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (exp.f64 (*.f64 (log.f64 (fabs.f64 J)) #s(literal 2 binary64))))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 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 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 J) (sqrt.f64 J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 J) (sqrt.f64 J))))))) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))))))
(*.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 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 J) (fabs.f64 J) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 U U) J)) (fabs.f64 J))) (*.f64 U U) (*.f64 (/.f64 J (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 U U) U)))) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 #s(approx (/ U (* (+ J J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 #s(approx (/ U (* (+ J J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
#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 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) (*.f64 J #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))))) #s(literal -2 binary64)))
Calls

1 calls:

14.0ms
(*.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
92.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes71.0ms (1.2%)

Memory
32.6MiB live, 124.3MiB allocated; 5ms collecting garbage
Counts
42 → 6
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) 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) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J 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 (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 J (/.f64 U (fabs.f64 J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 J J) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (neg.f64 (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U J)) (fabs.f64 J)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (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 (+.f64 J J) #s(approx (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (sqrt.f64 (*.f64 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) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/4 binary64)) #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 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (*.f64 (-.f64 (*.f64 (/.f64 U (*.f64 J J)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) U)) (*.f64 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) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) (*.f64 J #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))) U)) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J) #s(literal -2 binary64) (/.f64 (neg.f64 J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) 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 U U) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (exp.f64 (*.f64 (log.f64 (fabs.f64 J)) #s(literal 2 binary64))))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 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 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 J) (sqrt.f64 J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 J) (sqrt.f64 J))))))) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))))))
(*.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 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 J) (fabs.f64 J) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 U U) J)) (fabs.f64 J))) (*.f64 U U) (*.f64 (/.f64 J (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 U U) U)))) #s(literal -2 binary64)))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) 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 (*.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 (*.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 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) #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) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) (*.f64 J #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))))) #s(literal -2 binary64)))
Calls

6 calls:

13.0ms
J
12.0ms
(/.f64 K #s(literal 2 binary64))
11.0ms
U
11.0ms
K
10.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
74.1%3U
68.8%2(/.f64 K #s(literal 2 binary64))
68.8%2K
71.0%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
76.6%3J
91.4%6(*.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)

regimes14.0ms (0.2%)

Memory
-21.7MiB live, 24.2MiB allocated; 3ms collecting garbage
Counts
40 → 5
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) 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) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J 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 (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 J (/.f64 U (fabs.f64 J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 J J) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (neg.f64 (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U J)) (fabs.f64 J)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (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 (+.f64 J J) #s(approx (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (sqrt.f64 (*.f64 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) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/4 binary64)) #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 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (*.f64 (-.f64 (*.f64 (/.f64 U (*.f64 J J)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) U)) (*.f64 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) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) (*.f64 J #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))) U)) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J) #s(literal -2 binary64) (/.f64 (neg.f64 J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) 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 U U) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (exp.f64 (*.f64 (log.f64 (fabs.f64 J)) #s(literal 2 binary64))))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 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 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 J) (sqrt.f64 J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 J) (sqrt.f64 J))))))) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (+.f64 J J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) #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) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) (*.f64 J #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))))) #s(literal -2 binary64)))
Calls

1 calls:

11.0ms
(*.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
88.4%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)

regimes11.0ms (0.2%)

Memory
21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) 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) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J 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 (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 J (/.f64 U (fabs.f64 J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 J J) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (neg.f64 (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U J)) (fabs.f64 J)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (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 (+.f64 J J) #s(approx (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (sqrt.f64 (*.f64 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) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/4 binary64)) #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 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (*.f64 (-.f64 (*.f64 (/.f64 U (*.f64 J J)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) U)) (*.f64 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) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 U U)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) (*.f64 J #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) (/.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) U)))) U)) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) J) #s(literal -2 binary64) (/.f64 (neg.f64 J) (*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 J)) 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 U U) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (exp.f64 (*.f64 (log.f64 (fabs.f64 J)) #s(literal 2 binary64))))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 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 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 J) (sqrt.f64 J))))) (*.f64 J (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 J) (sqrt.f64 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 (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
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
77.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes29.0ms (0.5%)

Memory
-3.8MiB live, 48.2MiB allocated; 7ms collecting garbage
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) 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) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J 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 (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 J (/.f64 U (fabs.f64 J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 J J) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (neg.f64 (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U J)) (fabs.f64 J)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (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 (+.f64 J J) #s(approx (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (sqrt.f64 (*.f64 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) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/4 binary64)) #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 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) 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) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
Calls

4 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)))))
6.0ms
J
6.0ms
U
6.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
56.5%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
55.1%2U
54.9%2J
70.3%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 28 to 29 computations (-3.6% saved)

regimes20.0ms (0.3%)

Memory
-21.3MiB live, 25.0MiB allocated; 2ms collecting garbage
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) 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) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J 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 (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 J (/.f64 U (fabs.f64 J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 J J) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (neg.f64 (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U J)) (fabs.f64 J)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (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 (+.f64 J J) #s(approx (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (sqrt.f64 (*.f64 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) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/4 binary64)) #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 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) 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 (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) J)))
#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) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
Calls

3 calls:

7.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
6.0ms
K
6.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
43.0%3(/.f64 K #s(literal 2 binary64))
43.0%3K
65.5%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 25 computations (3.8% saved)

regimes6.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) 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) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J 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 (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 J (/.f64 U (fabs.f64 J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 J J) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (neg.f64 (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U J)) (fabs.f64 J)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (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 (+.f64 J J) #s(approx (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (sqrt.f64 (*.f64 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) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 J J))))) 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 (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) 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 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
#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) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
Calls

1 calls:

5.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
64.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes15.0ms (0.3%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 #s(literal -1 binary64) #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) 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) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J 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 (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (*.f64 J (/.f64 U (fabs.f64 J)))))
#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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 J J) U))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* -1 (* U (+ (* -1/8 (/ J (* (pow U 4) (pow (/ 1/4 (* J J)) 3/2)))) (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))))) (neg.f64 (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (/.f64 (*.f64 J U) (sqrt.f64 (*.f64 J J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U #s(approx (/ 1/2 (sqrt (* J J))) (/.f64 #s(literal 1/2 binary64) J)))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (/ 1/2 (sqrt (* J J)))))) (* J (/ 1/2 (sqrt (* J J)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U J)) (fabs.f64 J)))) #s(literal -2 binary64)))
Outputs
#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) #s(approx (sqrt (* 1/4 (* U U))) (*.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 (* (+ J J) (* (* U (cos (* 1/2 K))) (/ 1/2 (sqrt (* (* J J) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K)))))))))) (neg.f64 #s(approx (/ (* U (cos (* 1/2 K))) (sqrt (+ 1/2 (* 1/2 (cos K))))) U))))
Calls

4 calls:

4.0ms
J
4.0ms
U
3.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
3.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
38.6%1J
50.3%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
38.6%1U
50.3%2(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes8.0ms (0.1%)

Memory
-35.1MiB live, 11.5MiB allocated; 2ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

3.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms
K
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
J
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
38.6%1J
38.6%1(/.f64 K #s(literal 2 binary64))
38.6%1K
38.6%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)))))
38.6%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 31 to 34 computations (-9.7% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9907389800199713e+301
+inf
0.0ms
-inf
-2.9020445351504507e+302
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9907389800199713e+301
+inf
0.0ms
-inf
-2.9020445351504507e+302
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.392199496428135e+287
4.720245892542686e+295
0.0ms
-inf
-2.9020445351504507e+302
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.392199496428135e+287
4.720245892542686e+295
0.0ms
-inf
-2.9020445351504507e+302
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
3.392199496428135e+287
4.720245892542686e+295
0.0ms
-2.042426838730239e-277
1.0017710974697772e-230
0.0ms
-5.0795271057206864e-90
-6.877723342103533e-114
0.0ms
-3.603539978494172e+232
-4.0635105052425397e+229
0.0ms
-inf
-2.9020445351504507e+302
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.392199496428135e+287
4.720245892542686e+295
0.0ms
-2.042426838730239e-277
1.0017710974697772e-230
0.0ms
-1.7353479755602295e+128
-7.208278170324628e+127
0.0ms
-inf
-2.9020445351504507e+302
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.042426838730239e-277
1.0017710974697772e-230
0.0ms
-inf
-2.9020445351504507e+302
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.530682018618578e-162
-1.308059182536629e-165
0.0ms
-inf
-2.9020445351504507e+302
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.530682018618578e-162
-1.308059182536629e-165
0.0ms
-inf
-2.9020445351504507e+302
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
-2.042426838730239e-277
1.0017710974697772e-230
0.0ms
-inf
-2.9020445351504507e+302
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch29.0ms (0.5%)

Memory
27.9MiB live, 27.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
-0.0027726792032977962
0.015297702788334687
Samples
16.0ms240×0valid
Compiler

Compiled 1 284 to 1 179 computations (8.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult!: 5.0ms (47.6% of total)
ival-pow2: 3.0ms (28.6% of total)
ival-sqrt: 2.0ms (19% of total)
ival-add!: 1.0ms (9.5% of total)
ival-div!: 1.0ms (9.5% of total)
adjust: 0.0ms (0% of total)

derivations466.0ms (7.9%)

Memory
-37.0MiB live, 394.7MiB allocated; 110ms collecting garbage
Stop Event
fuel
Compiler

Compiled 328 to 189 computations (42.4% saved)

preprocess410.0ms (6.9%)

Memory
26.1MiB live, 447.3MiB allocated; 65ms collecting garbage
Remove

(abs K)

Compiler

Compiled 14 150 to 10 426 computations (26.3% saved)

end0.0ms (0%)

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

Profiling

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