Maksimov and Kolovsky, Equation (3)

Time bar (total: 6.3s)

start0.0ms (0%)

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

analyze258.0ms (4.1%)

Memory
-1.5MiB live, 579.5MiB allocated; 49ms 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 (26.2%)

Memory
96.5MiB live, 2 245.3MiB allocated; 668ms collecting garbage
Samples
1.3s8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 924.0ms
ival-mult!: 258.0ms (27.9% of total)
ival-div!: 253.0ms (27.4% of total)
ival-cos: 226.0ms (24.5% of total)
ival-pow2: 89.0ms (9.6% of total)
ival-sqrt: 77.0ms (8.3% of total)
ival-add!: 20.0ms (2.2% of total)
adjust: 1.0ms (0.1% of total)
Bogosity

preprocess43.0ms (0.7%)

Memory
-3.9MiB live, 42.1MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075246
1315210
Stop Event
iter-limit
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Symmetry

(abs K)

(abs U)

(negabs J)

Compiler

Compiled 44 to 34 computations (22.7% saved)

series55.0ms (0.9%)

Memory
20.8MiB live, 65.7MiB allocated; 4ms 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
7.0ms
K
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J))
7.0ms
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) 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))
6.0ms
K
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J))

rewrite235.0ms (3.7%)

Memory
40.4MiB live, 219.1MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05385239
05564851
136584623
090394454
1180144454
Stop Event
saturated
node-limit
iter-limit
Counts
101 → 164
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 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))
(*.f64 (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 (fabs.f64 K) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K))))
(cos.f64 (neg.f64 (*.f64 (fabs.f64 K) #s(literal 1/2 binary64))))
(cos.f64 (fabs.f64 (*.f64 (fabs.f64 K) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 (fabs.f64 K) #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
(/.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))))
(sqrt.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))))))
(fabs.f64 (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))
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(+.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64)))
#s(literal 1 binary64)
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(*.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))
(pow.f64 (fabs.f64 (fabs.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))) #s(literal 2 binary64))
(pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 2 binary64))
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(/.f64 (neg.f64 (/.f64 U (+.f64 J J))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (neg.f64 (neg.f64 U)) (neg.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))))
(/.f64 (/.f64 U (+.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))
(/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))
U
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))
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(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(fma.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
(+.f64 J J)
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#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)
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#s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))
#s(approx (* 2 J) (+.f64 J J))
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#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 J #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 J #s(literal 4 binary64)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (pow.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 1/2 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 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.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 (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 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))))) (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 (+.f64 (/.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 U U) (*.f64 #s(literal 1/192 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 (/.f64 (*.f64 U 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 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))))) (*.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 1/2 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 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.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)))))) 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 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (/.f64 (*.f64 (*.f64 K U) (*.f64 K 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 (/.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 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 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(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 1/32 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) (/.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 U U) (*.f64 #s(literal 1/192 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 (/.f64 (*.f64 U 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 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))))) (*.f64 U U)) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 J J))))) (*.f64 K K) (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 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64))))))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (*.f64 K K) (*.f64 (/.f64 (*.f64 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 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K U) (*.f64 K U)) (*.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 (+.f64 (/.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 U U) (*.f64 #s(literal 1/192 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64))) (*.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) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K U) (*.f64 K U)) (*.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 (+.f64 (/.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 U U) (*.f64 #s(literal 1/192 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64))) (*.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)))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) U) (*.f64 #s(literal 1/2 binary64) U)) J))
#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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/46080 binary64) U (*.f64 #s(literal 1/3072 binary64) 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) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))
#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 (*.f64 (*.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64))) #s(literal 1/64 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64)) #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -5 binary64))) #s(literal -1/512 binary64))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -4 binary64))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 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 (*.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -6 binary64))) #s(literal 1/1024 binary64) (*.f64 #s(literal -1/128 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -4 binary64)))) (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (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 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal -2 binary64) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 (pow.f64 U #s(literal -4 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 3 binary64)))) #s(literal 1/4 binary64) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal -2 binary64) (+.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 (pow.f64 U #s(literal -6 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 5 binary64)))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U)))))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 3 binary64))) (pow.f64 U #s(literal -4 binary64)))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal -6 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 3 binary64))) (pow.f64 U #s(literal -4 binary64)))) 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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (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)))) (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal -2 binary64) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 (pow.f64 U #s(literal -4 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 3 binary64)))) #s(literal 1/4 binary64) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal -2 binary64) (+.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 (pow.f64 U #s(literal -6 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 5 binary64)))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U)))))) U)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 3 binary64))) (pow.f64 U #s(literal -4 binary64)))) U)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (neg.f64 (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal -6 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 3 binary64))) (pow.f64 U #s(literal -4 binary64)))) U)))

eval25.0ms (0.4%)

Memory
-6.4MiB live, 38.9MiB allocated; 7ms collecting garbage
Compiler

Compiled 3 543 to 979 computations (72.4% saved)

prune68.0ms (1.1%)

Memory
-20.2MiB live, 41.5MiB allocated; 54ms collecting garbage
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New13124155
Fresh000
Picked101
Done000
Total13224156
Accuracy
93.6%
Counts
156 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.5%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))
72.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)))))
49.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
63.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #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)))))
64.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
63.9%
(*.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 (*.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 1/4 binary64) J) #s(literal 1 binary64)))))
51.1%
(*.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)))))
10.9%
(*.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 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)))))
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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U))))
54.1%
(*.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)))
72.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
43.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) (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 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
43.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) (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 (fma.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)))))
43.9%
(*.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)))))
85.5%
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))))))
42.3%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
51.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
25.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
54.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (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)))
36.1%
#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 U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
30.8%
#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)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
21.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.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 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U))))) U)))
Compiler

Compiled 1 520 to 1 298 computations (14.6% saved)

series346.0ms (5.5%)

Memory
-7.6MiB live, 361.4MiB allocated; 62ms collecting garbage
Counts
59 → 251
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
J
#s(literal -2 binary64)
(cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))))
(asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))
(/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))
U
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.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)
(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) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64))))
(+.f64 #s(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)))
(pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64))
(/.f64 U #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 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))
(fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J))
(*.f64 (*.f64 K K) J)
(*.f64 K 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 #s(literal -2 binary64)) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 J #s(literal -2 binary64))
(*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))
(/.f64 #s(literal 1/4 binary64) (*.f64 J J))
(fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 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 1/2 binary64))))) #s(literal 2 binary64)))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) J)
Outputs
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) #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 (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) #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 (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) #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 (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) #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) (+ (* -1 (* (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))))))))) (* -1 (* (pow J 2) (* (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)))) (+ (* -1/48 (/ (+ (* 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))))))))) (* (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)))))))) (+ (* 1/720 (+ (* 30 (/ 1 (* (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 3) (pow (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K))))) 3)))) (+ (* 45 (/ 1 (* (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 5) (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))))) (* 45 (/ 1 (* (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 4) (pow (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K))))) 2))))))) (* 1/48 (/ 1 (* (pow (sqrt (* 1/4 (/ (pow U 2) 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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)))))))
#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
68.0ms
K
@inf
((* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (/ U (* (cos (* 1/2 K)) (+ J J))) U (* (cos (* 1/2 K)) (+ 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) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (/ K 2) 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (+ (* (* (* K K) J) -1/4) (+ J J)) (* (* K K) J) (* K K) -1/4 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K))))) (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))) (sqrt (/ 1/4 (* J J))) (/ 1/4 (* J J)) (fabs (cos (* 1/2 K))) (* (* (* -2 J) (cos (* K 1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2)))) (* (* -2 J) (cos (* K 1/2))) (cos (* K 1/2)) (* K 1/2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2)) (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2) (/ U (* (* 2 J) (cos (* K 1/2)))) (* (* 2 J) (cos (* K 1/2))) (* 2 J))
64.0ms
K
@-inf
((* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (/ U (* (cos (* 1/2 K)) (+ J J))) U (* (cos (* 1/2 K)) (+ 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) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (/ K 2) 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (+ (* (* (* K K) J) -1/4) (+ J J)) (* (* K K) J) (* K K) -1/4 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K))))) (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))) (sqrt (/ 1/4 (* J J))) (/ 1/4 (* J J)) (fabs (cos (* 1/2 K))) (* (* (* -2 J) (cos (* K 1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2)))) (* (* -2 J) (cos (* K 1/2))) (cos (* K 1/2)) (* K 1/2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2)) (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2) (/ U (* (* 2 J) (cos (* K 1/2)))) (* (* 2 J) (cos (* K 1/2))) (* 2 J))
37.0ms
J
@0
((* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (/ U (* (cos (* 1/2 K)) (+ J J))) U (* (cos (* 1/2 K)) (+ 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) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (/ K 2) 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (+ (* (* (* K K) J) -1/4) (+ J J)) (* (* K K) J) (* K K) -1/4 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K))))) (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))) (sqrt (/ 1/4 (* J J))) (/ 1/4 (* J J)) (fabs (cos (* 1/2 K))) (* (* (* -2 J) (cos (* K 1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2)))) (* (* -2 J) (cos (* K 1/2))) (cos (* K 1/2)) (* K 1/2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2)) (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2) (/ U (* (* 2 J) (cos (* K 1/2)))) (* (* 2 J) (cos (* K 1/2))) (* 2 J))
33.0ms
U
@-inf
((* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (/ U (* (cos (* 1/2 K)) (+ J J))) U (* (cos (* 1/2 K)) (+ 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) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (/ K 2) 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (+ (* (* (* K K) J) -1/4) (+ J J)) (* (* K K) J) (* K K) -1/4 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K))))) (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))) (sqrt (/ 1/4 (* J J))) (/ 1/4 (* J J)) (fabs (cos (* 1/2 K))) (* (* (* -2 J) (cos (* K 1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2)))) (* (* -2 J) (cos (* K 1/2))) (cos (* K 1/2)) (* K 1/2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2)) (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2) (/ U (* (* 2 J) (cos (* K 1/2)))) (* (* 2 J) (cos (* K 1/2))) (* 2 J))
32.0ms
U
@0
((* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (/ U (* (cos (* 1/2 K)) (+ J J))) U (* (cos (* 1/2 K)) (+ 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) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (/ K 2) 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (+ (* (* (* K K) J) -1/4) (+ J J)) (* (* K K) J) (* K K) -1/4 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K))))) (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))) (sqrt (/ 1/4 (* J J))) (/ 1/4 (* J J)) (fabs (cos (* 1/2 K))) (* (* (* -2 J) (cos (* K 1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2)))) (* (* -2 J) (cos (* K 1/2))) (cos (* K 1/2)) (* K 1/2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2)) (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2) (/ U (* (* 2 J) (cos (* K 1/2)))) (* (* 2 J) (cos (* K 1/2))) (* 2 J))

rewrite297.0ms (4.7%)

Memory
19.7MiB live, 331.7MiB allocated; 66ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188043982
0195942168
0815541221
11371041221
Stop Event
saturated
node-limit
iter-limit
Counts
310 → 369
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
J
#s(literal -2 binary64)
(cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))))
(asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))
(/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))
U
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.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)
(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) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64))))
(+.f64 #s(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)))
(pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64))
(/.f64 U #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 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))
(fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J))
(*.f64 (*.f64 K K) J)
(*.f64 K 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 #s(literal -2 binary64)) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 J #s(literal -2 binary64))
(*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))
(/.f64 #s(literal 1/4 binary64) (*.f64 J J))
(fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 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 1/2 binary64))))) #s(literal 2 binary64)))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) J)
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#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) #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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (fabs.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
J
#s(literal -2 binary64)
(/.f64 (+.f64 (exp.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))) (exp.f64 (neg.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))
(cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))))
(sqrt.f64 (fma.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) #s(literal 1 binary64)))
(asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))
(log.f64 (+.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))))))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))
(/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))
U
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.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)))
(fabs.f64 (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 (/.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 (fabs.f64 U) #s(literal 2 binary64))
(pow.f64 (neg.f64 U) #s(literal 2 binary64))
(pow.f64 U #s(literal 2 binary64))
(fabs.f64 (*.f64 U U))
(*.f64 (fabs.f64 J) (fabs.f64 J))
(*.f64 (neg.f64 J) (neg.f64 J))
(*.f64 J J)
(pow.f64 (fabs.f64 J) #s(literal 2 binary64))
(pow.f64 (neg.f64 J) #s(literal 2 binary64))
(pow.f64 J #s(literal 2 binary64))
(fabs.f64 (*.f64 J J))
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #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 (fabs.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))
#s(literal 2 binary64)
(pow.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(literal 1/2 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))))
(fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64)))
(*.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))))
(pow.f64 (fabs.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))
(pow.f64 (neg.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))
(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))
(fabs.f64 (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 U) (neg.f64 #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))))
(/.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(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))
(fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J))
(+.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) (+.f64 J J))
(*.f64 (*.f64 K K) J)
(*.f64 (fabs.f64 K) (fabs.f64 K))
(*.f64 (neg.f64 K) (neg.f64 K))
(*.f64 K K)
(pow.f64 (fabs.f64 K) #s(literal 2 binary64))
(pow.f64 (neg.f64 K) #s(literal 2 binary64))
(pow.f64 K #s(literal 2 binary64))
(fabs.f64 (*.f64 K 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 #s(literal -2 binary64)) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 J #s(literal -2 binary64))
(*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (neg.f64 (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 J J)))
(/.f64 #s(literal 1/4 binary64) (*.f64 J J))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 K #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 (fabs.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 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) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
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#s(approx (* (* (cos (* 1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (cos (* 1/2 K)) J) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx J J)
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#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (+.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 #s(literal -1 binary64) (log.f64 J))))
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#s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (cos (* 1/2 K)) (+ J J)) (*.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)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #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)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #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) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.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) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.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) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.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 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.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 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.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 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.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 (* -2 J) (*.f64 #s(literal -2 binary64) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) J))
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#s(approx (+ (* (* (* K K) J) -1/4) (+ J J)) (*.f64 J (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)))))
#s(approx (* (* K K) J) (*.f64 J (*.f64 K K)))
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#s(approx (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))) (/.f64 #s(literal 1/2 binary64) (*.f64 J (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (sqrt (/ 1/4 (* J J))) (/.f64 #s(literal 1/2 binary64) J))
#s(approx (/ 1/4 (* J J)) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))
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#s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) #s(literal 1 binary64))
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#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (/.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J)))) J))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (/.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) 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)))))))
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#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)))))
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(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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (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 -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)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (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))))))))
#s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 J J) J))))))
#s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (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 -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)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))) J)))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) 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 (+ (* (* (* K K) J) -1/4) (+ J J)) (*.f64 #s(literal -1 binary64) (*.f64 J (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) #s(literal 2 binary64)))))
#s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))) (/.f64 #s(literal -1/2 binary64) (*.f64 J (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (sqrt (/ 1/4 (* J J))) (/.f64 #s(literal -1/2 binary64) J))
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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 (* (* (cos (* 1/2 K)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
#s(approx (* (* (cos (* 1/2 K)) J) -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 (* (* (cos (* 1/2 K)) J) -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 (* 1/2 K)) J) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)))))
#s(approx (* (cos (* 1/2 K)) J) (+.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) J (*.f64 #s(literal 1/384 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* (cos (* 1/2 K)) J) (+.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/384 binary64) J)))))))
#s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))
#s(approx (cos (* 1/2 K)) (+.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 (* 1/2 K)) (+.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 (* 1/2 K) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (*.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 (* (cos (* 1/2 K)) (+ J J))))) (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 (* (cos (* 1/2 K)) (+ J J))))) (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 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)))))))) (*.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 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(*.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 (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
#s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 K K) U) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
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#s(approx (* (cos (* 1/2 K)) (+ J J)) (fma.f64 #s(literal -1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (cos (* 1/2 K)) (+ J J)) (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 (* (cos (* 1/2 K)) (+ J J)) (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)))))))
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#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)))))))))))))))
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#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))))))))))
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#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 (* K K) (*.f64 K K))
#s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 J (*.f64 (*.f64 K K) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) (/.f64 (*.f64 J (*.f64 (*.f64 K K) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 J (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 J (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) (/.f64 (*.f64 J (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1/23040 binary64) (/.f64 (*.f64 J (*.f64 (*.f64 K K) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))
#s(approx (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K))))) (/.f64 (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 K K) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K))))) (fma.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 (*.f64 K K) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (/.f64 (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K))))) (fma.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (/.f64 (*.f64 (*.f64 K K) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))) (/.f64 (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#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 (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (fabs (cos (* 1/2 K))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (*.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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))))
#s(approx (cos (* 1/2 K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (+ (* (* (* K K) J) -1/4) (+ J J)) (*.f64 #s(literal -1/4 binary64) (*.f64 J (*.f64 K K))))
#s(approx (+ (* (* (* K K) J) -1/4) (+ J J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) J (*.f64 #s(literal 2 binary64) (/.f64 J (*.f64 K K))))))
#s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J (*.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K))))) (/.f64 (*.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* U (cos (* 1/2 K))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (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 (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (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 (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (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 (* (cos (* 1/2 K)) (+ J J))))) (+.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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))
#s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (+.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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (*.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 (* (cos (* 1/2 K)) (+ J J)))) (*.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 (* (cos (* 1/2 K)) (+ J J)))) (*.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 (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (+.f64 (log.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 U)))))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (+.f64 (log.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 U)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (+.f64 (log.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 U)) (fma.f64 #s(literal -1/24 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))) (pow.f64 U #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (+.f64 (log.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 U)) (fma.f64 #s(literal -1/24 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 5/2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (*.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (fma.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 U (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (fma.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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))))))))
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#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (*.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (fma.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (fma.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))))))))

eval79.0ms (1.3%)

Memory
5.2MiB live, 115.2MiB allocated; 48ms collecting garbage
Compiler

Compiled 23 394 to 2 672 computations (88.6% saved)

prune97.0ms (1.5%)

Memory
1.8MiB live, 47.4MiB allocated; 7ms collecting garbage
Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New31618334
Fresh12719
Picked235
Done000
Total33028358
Accuracy
99.9%
Counts
358 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.5%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))
72.4%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
54.1%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) #s(literal 1 binary64)))
50.6%
(*.f64 (*.f64 (*.f64 #s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 #s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) (+.f64 J J))))))
72.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)))))
64.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
51.1%
(*.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)))))
10.9%
(*.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 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)))))
72.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
43.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) (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 (fma.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)))))
43.9%
(*.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)))))
48.5%
(*.f64 #s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))
54.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (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)))
36.1%
#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 U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
48.1%
#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)))
21.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (*.f64 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)))
8.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) J) #s(literal -2 binary64)))
17.7%
#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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) J) #s(literal -2 binary64)))
38.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
21.1%
#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 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))))) #s(literal -2 binary64)))
4.9%
#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 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))) #s(literal -2 binary64)))
23.7%
#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) (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)))) #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))))))))
33.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
30.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal 2 binary64)))))
5.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))))))
1.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
49.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
Compiler

Compiled 1 834 to 1 641 computations (10.5% saved)

series226.0ms (3.6%)

Memory
7.5MiB live, 242.0MiB allocated; 37ms collecting garbage
Counts
55 → 258
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.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(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)
(*.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))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
Outputs
#s(approx (* (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)))) #s(hole binary64 (* -2 (* (sqrt (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)))) #s(hole binary64 (+ (* -2 (* (sqrt (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (* -1 (/ (* (pow J 2) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (sqrt (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))))))))
#s(approx (* (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)))) #s(hole binary64 (+ (* -2 (* (sqrt (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (* (pow J 2) (+ (* -1 (/ (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (sqrt (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))))) (* 1/4 (/ (* (pow J 2) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (pow (sqrt (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) 3))))))))
#s(approx (* (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)))) #s(hole binary64 (+ (* -2 (* (sqrt (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (* (pow J 2) (+ (* -1 (/ (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (sqrt (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))))) (* (pow J 2) (+ (* -1/8 (/ (* (pow J 2) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (pow (sqrt (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) 5))) (* 1/4 (/ (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (pow (sqrt (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) 3))))))))))
#s(approx (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) #s(hole binary64 (* -2 (* J (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 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) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) #s(hole binary64 (/ (sqrt (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) #s(hole binary64 (/ (+ (sqrt (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) (* 1/2 (/ (pow J 2) (sqrt (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2))))))) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) #s(hole binary64 (/ (+ (sqrt (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) (* (pow J 2) (+ (* -1/8 (/ (pow J 2) (pow (sqrt (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) 3))) (* 1/2 (/ 1 (sqrt (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2))))))))) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) #s(hole binary64 (/ (+ (sqrt (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 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)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) 5))) (* 1/8 (/ 1 (pow (sqrt (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) 3))))) (* 1/2 (/ 1 (sqrt (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2))))))))) J)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2))) (pow J 2)) (pow J 2))))
#s(approx (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) #s(hole binary64 (* 1/2 (/ U (* J (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))))))
#s(approx (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) #s(hole binary64 (* 2 (* J (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))))))
#s(approx (* 2 J) #s(hole binary64 (* 2 J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (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 (* (* (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 J) (/ U J)) 1/4) 1)) #s(hole binary64 (/ (sqrt (* 1/4 (pow U 2))) J)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U 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 J) (/ U J)) 1/4) 1) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) #s(hole binary64 (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))))
#s(approx (* (/ U J) (/ U J)) #s(hole binary64 (/ (pow U 2) (pow J 2))))
#s(approx (/ U J) #s(hole binary64 (/ U J)))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#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 (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) #s(hole binary64 (* -1 (/ (* U (cos (* 1/2 K))) (fabs (cos (* 1/2 K)))))))
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Calls

9 calls:

TimeVariablePointExpression
46.0ms
J
@inf
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45.0ms
J
@-inf
((* (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)))) (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (* -2 J) -2 J (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (sin (* 1/2 K)) (* 1/2 K) 1/2 K (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* 1/2 K)) (sin (/ (PI) 2))) (cos (* 1/2 K)) (sin (/ (PI) 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)) 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2) (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (* 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) (* (* (* -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) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/ (* U (cos (* 1/2 K))) (fabs (cos (* 1/2 K)))) (* U (cos (* 1/2 K))) (fabs (cos (* 1/2 K))))
43.0ms
U
@inf
((* (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)))) (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (* -2 J) -2 J (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (sin (* 1/2 K)) (* 1/2 K) 1/2 K (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* 1/2 K)) (sin (/ (PI) 2))) (cos (* 1/2 K)) (sin (/ (PI) 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)) 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2) (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (* 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) (* (* (* -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) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/ (* U (cos (* 1/2 K))) (fabs (cos (* 1/2 K)))) (* U (cos (* 1/2 K))) (fabs (cos (* 1/2 K))))
14.0ms
J
@0
((* (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)))) (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (* -2 J) -2 J (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (sin (* 1/2 K)) (* 1/2 K) 1/2 K (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* 1/2 K)) (sin (/ (PI) 2))) (cos (* 1/2 K)) (sin (/ (PI) 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)) 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2) (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (* 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) (* (* (* -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) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/ (* U (cos (* 1/2 K))) (fabs (cos (* 1/2 K)))) (* U (cos (* 1/2 K))) (fabs (cos (* 1/2 K))))
14.0ms
K
@-inf
((* (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)))) (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (* -2 J) -2 J (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (sin (* 1/2 K)) (* 1/2 K) 1/2 K (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* 1/2 K)) (sin (/ (PI) 2))) (cos (* 1/2 K)) (sin (/ (PI) 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)) 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2) (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (* 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) (* (* (* -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) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/ (* U (cos (* 1/2 K))) (fabs (cos (* 1/2 K)))) (* U (cos (* 1/2 K))) (fabs (cos (* 1/2 K))))

rewrite302.0ms (4.8%)

Memory
15.8MiB live, 256.5MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154719936
0161717011
0835916532
11639116532
Stop Event
saturated
node-limit
iter-limit
Counts
313 → 383
Calls
Call 1
Inputs
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(*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
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U
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
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(*.f64 #s(literal 1/4 binary64) (*.f64 U U))
#s(literal 1/4 binary64)
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(*.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))
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(/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
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#s(approx (* (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)))) #s(hole binary64 (* -1 (* U (+ (* -2 (* J (* (sqrt (/ 1/4 (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))))) (* -1 (/ (* J (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2))))))))))))
#s(approx (* (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)))) #s(hole binary64 (* -1 (* U (+ (* -2 (* J (* (sqrt (/ 1/4 (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))))) (+ (* -1 (/ (* J (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2))))))) (* 1/4 (/ (* J (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) 3))))))))))
#s(approx (* (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)))) #s(hole binary64 (* -1 (* U (+ (* -2 (* J (* (sqrt (/ 1/4 (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))))) (+ (* -1 (/ (* J (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2))))))) (+ (* -1/8 (/ (* J (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow U 6) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) 5)))) (* 1/4 (/ (* J (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) 3)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) #s(hole binary64 (* -1 (* U (sqrt (/ 1/4 (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) #s(hole binary64 (* -1 (* U (+ (sqrt (/ 1/4 (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) (* 1/2 (/ 1 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2))))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) #s(hole binary64 (* -1 (* U (- (+ (sqrt (/ 1/4 (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2))))))) (/ 1/8 (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) 3))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) #s(hole binary64 (* -1 (* U (- (+ (sqrt (/ 1/4 (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) (+ (/ 1/2 (* (pow U 2) (sqrt (/ 1/4 (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))))) (* 1/16 (/ 1 (* (pow U 6) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) 2)))) 5)))))) (* 1/8 (/ 1 (* (pow U 4) (pow (sqrt (/ 1/4 (* (pow J 2) (pow (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 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 (* 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 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J)))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J)))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (fabs.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
#s(literal 0 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (fabs.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #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) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(pow.f64 (fabs.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)))
(*.f64 U (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) J) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) J)))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) J)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) 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(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))))
(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)))
(fabs.f64 (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 (fabs.f64 U) #s(literal 2 binary64))
(pow.f64 (neg.f64 U) #s(literal 2 binary64))
(pow.f64 U #s(literal 2 binary64))
(fabs.f64 (*.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 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))
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#s(approx (* -2 J) (*.f64 #s(literal -2 binary64) J))
#s(approx J J)
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#s(approx (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))) (*.f64 J J)) (*.f64 J J)))
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#s(approx (* 2 J) (*.f64 #s(literal 2 binary64) J))
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#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)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #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)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #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 (*.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) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (-.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.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) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.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 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1/2 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 (-.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.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 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))))))) J))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (/.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.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 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1/2 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 (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 5/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) J))
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#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
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#s(approx (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 K (fma.f64 #s(literal -1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 K (fma.f64 #s(literal 1/24 binary64) (*.f64 J (*.f64 K (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 J (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (*.f64 K (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 K (fma.f64 #s(literal -1/8 binary64) (*.f64 K (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 K (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 K (fma.f64 #s(literal -1/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/48 binary64) (*.f64 K (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (sin (* 1/2 K)) (*.f64 #s(literal 1/2 binary64) K))
#s(approx (sin (* 1/2 K)) (*.f64 K (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 K K)))))
#s(approx (sin (* 1/2 K)) (*.f64 K (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/3840 binary64) (*.f64 K K) #s(literal -1/48 binary64))))))
#s(approx (sin (* 1/2 K)) (*.f64 K (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (-.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal 1/645120 binary64) (*.f64 K K))) #s(literal -1/48 binary64))))))
#s(approx K K)
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 K K) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/384 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 K K))))
#s(approx (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)))))
#s(approx (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (fma.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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 K (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (*.f64 J J) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (*.f64 K (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 J J) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (*.f64 J J) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))))) (*.f64 (*.f64 J J) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64))))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal -4 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) #s(literal 1 binary64)))))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (*.f64 K (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 J J) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))))))) (*.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 K (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (*.f64 J J) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))))) (*.f64 (*.f64 J J) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))))) (*.f64 (*.f64 J J) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 J J) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (*.f64 J J) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))))) (*.f64 (*.f64 J J) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64))))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal -4 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) #s(literal 1 binary64))))))))) (*.f64 (*.f64 J J) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) #s(literal 1 binary64)))))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (*.f64 J J) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))))) (*.f64 (*.f64 J J) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64))))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal -4 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 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#s(approx (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 K (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (*.f64 J J) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 K (*.f64 #s(literal -1/4 binary64) (fma.f64 K (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (*.f64 J J) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))))) (*.f64 (*.f64 J J) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 J J) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))))))))))
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#s(approx (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 K (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (*.f64 J J) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (fma.f64 J (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))) (*.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) (*.f64 #s(literal -2 binary64) (fma.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 (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) (*.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 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) (*.f64 #s(literal -2 binary64) (fma.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/16 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) (*.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 (fma.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) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64))))) (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) (*.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 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 (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) (*.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 (* (* -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 (* 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) (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) (*.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) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 K K) (fma.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) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64))))) (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) (*.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 (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) (*.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) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64))) (*.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) (*.f64 #s(literal -1/4 binary64) (fma.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) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64))))) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64))))))))))
#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) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64))) (*.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) (*.f64 #s(literal -1/4 binary64) (fma.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) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64))))) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)))))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
#s(approx (/ U (* (* 2 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 (* (* 2 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) (*.f64 (/.f64 U J) #s(literal -5/384 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))))))
#s(approx (/ U (* (* 2 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) (*.f64 #s(literal -1/2 binary64) (fma.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) (*.f64 (/.f64 U J) #s(literal -5/384 binary64))))) (*.f64 (/.f64 U J) #s(literal -5/384 binary64)))))))))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 2 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 #s(literal 1/192 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 -1/4 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 (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 J (*.f64 (*.f64 K K) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) (/.f64 (*.f64 J (*.f64 (*.f64 K K) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 J (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 J (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) (/.f64 (*.f64 J (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1/23040 binary64) (/.f64 (*.f64 J (*.f64 (*.f64 K K) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))
#s(approx (/ (* U (cos (* 1/2 K))) (fabs (cos (* 1/2 K)))) (/.f64 U (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (/ (* U (cos (* 1/2 K))) (fabs (cos (* 1/2 K)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 K K) U) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 U (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (/ (* U (cos (* 1/2 K))) (fabs (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) (/.f64 U (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 (*.f64 K K) U) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (/.f64 U (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (/ (* U (cos (* 1/2 K))) (fabs (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) (/.f64 U (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (/.f64 (*.f64 (*.f64 K K) U) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1/384 binary64) (/.f64 U (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))) (/.f64 U (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#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 (fabs (cos (* 1/2 K))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)))) (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (sin (* 1/2 K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))))
#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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J (*.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* U (cos (* 1/2 K))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (* (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.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 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))))))))
#s(approx (* (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.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 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 5 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 3 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 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 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 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 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 6 binary64)))) (/.f64 #s(literal 1/128 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (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))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))))) (/.f64 #s(literal 1/4 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) 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 (*.f64 J J) J)))) (/.f64 #s(literal 1/4 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) 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 (*.f64 J J) J))) (/.f64 #s(literal 1/8 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 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) (fma.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 J J))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (* (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)))) (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 U (*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
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#s(approx (* (* (* -2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)))) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))) #s(literal 5/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))) #s(literal 3/2 binary64))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) (*.f64 U (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) (*.f64 U (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))) #s(literal 5/2 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2)) (*.f64 (*.f64 U U) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))) (/.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 #s(literal -2 binary64) (*.f64 J (*.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (*.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (fma.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 U (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (fma.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #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)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (*.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (fma.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (fma.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (/.f64 #s(literal 1/16 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 (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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 5/2 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 3/2 binary64))))))))

eval59.0ms (0.9%)

Memory
-27.0MiB live, 109.3MiB allocated; 16ms collecting garbage
Compiler

Compiled 12 526 to 2 402 computations (80.8% saved)

prune33.0ms (0.5%)

Memory
3.9MiB live, 60.4MiB allocated; 24ms collecting garbage
Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New32310333
Fresh91120
Picked325
Done033
Total33526361
Accuracy
99.9%
Counts
361 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.5%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))
72.4%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
54.1%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) #s(literal 1 binary64)))
50.6%
(*.f64 (*.f64 (*.f64 #s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 #s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) (+.f64 J J))))))
53.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) #s(literal 1 binary64)))
10.9%
(*.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 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)))))
72.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
32.6%
(*.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)))))))
43.9%
(*.f64 #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))))) (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)))))
54.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (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)))
36.1%
#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 U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
48.1%
#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)))
21.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) (*.f64 (*.f64 U U) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))) J) #s(literal -2 binary64)))
17.7%
#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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) J) #s(literal -2 binary64)))
18.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))) J) #s(literal -2 binary64)))
4.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))))))) J) #s(literal -2 binary64)))
21.1%
#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 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))))) #s(literal -2 binary64)))
4.9%
#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 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))) #s(literal -2 binary64)))
23.7%
#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) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64)))
39.5%
#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 (sqrt (* 1/4 (* U U))) (*.f64 #s(literal 1/2 binary64) U))) #s(literal -2 binary64)))
11.5%
#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 (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
23.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #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))))))))
33.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
30.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -2 binary64)))))
5.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))))))
3.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/.f64 #s(approx (* U (cos (* 1/2 K))) U) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
Compiler

Compiled 1 697 to 1 539 computations (9.3% saved)

series323.0ms (5.1%)

Memory
17.5MiB live, 290.0MiB allocated; 33ms collecting garbage
Counts
57 → 248
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
J
#s(literal -2 binary64)
(cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))
(asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
#s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(/.f64 U J)
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)))
(*.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 (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U)))
#s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))
(*.f64 #s(literal -1/2 binary64) U)
#s(literal -1/2 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 J (fma.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 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -2 binary64))))
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -2 binary64))
#s(literal -1/4 binary64)
(/.f64 (*.f64 U U) (*.f64 J J))
(*.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 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))
(*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))
(/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))
(*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))
(/.f64 #s(literal 1/4 binary64) (*.f64 J J))
#s(literal 1/4 binary64)
(*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))
(*.f64 #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))))) (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)))))
#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)))))
(fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))
(*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))
(*.f64 J (*.f64 K K))
(*.f64 K K)
(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)))
#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 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 (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))
#s(literal -1/8 binary64)
Outputs
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) #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 (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) #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 (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) #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 (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) #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) (+ (* -1 (* (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))))))))) (* -1 (* (pow J 2) (* (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)))) (+ (* -1/48 (/ (+ (* 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))))))))) (* (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)))))))) (+ (* 1/720 (+ (* 30 (/ 1 (* (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 3) (pow (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K))))) 3)))) (+ (* 45 (/ 1 (* (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 5) (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K)))))))) (* 45 (/ 1 (* (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 4) (pow (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K))))) 2))))))) (* 1/48 (/ 1 (* (pow (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 3) (pow (+ (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 1/2 (/ U (cos (* 1/2 K))))) 3))))))) (+ (* -1/2 (/ (+ (* -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)))))))))) (* 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))))) (* (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))))))))) (+ (* -1/48 (/ (+ (* 3 (/ 1 (* (pow (sqrt (* 1/4 (/ (pow U 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#s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) #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 (* (cos (* 1/2 K)) (+ J J))) #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)))))))))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* 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)))))))))))))))
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#s(approx (* K K) #s(hole binary64 (pow K 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)))))))
#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 (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -1/4 (* J (pow K 2))) (* 2 J))))
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#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) #s(hole binary64 (* -1 (* J (* (cos (* 1/2 K)) (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (+ (* 1/2 (/ U (* J (cos (* 1/2 K))))) (/ 1 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) #s(hole binary64 (* 1/2 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (+ (* 1/2 (/ U (* J (cos (* 1/2 K))))) (/ 1 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) #s(hole binary64 (log (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (* 1/2 (/ U (* 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)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))))
#s(approx (+ (* -2 J) (* 1/4 (* J (* K K)))) #s(hole binary64 (* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))))
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#s(approx (+ (* (* K K) -1/8) 1) #s(hole binary64 (* -1/8 (pow K 2))))
#s(approx (+ (* (* K K) -1/8) 1) #s(hole binary64 (* (pow K 2) (- (/ 1 (pow K 2)) 1/8))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) #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 (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) #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 (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) #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 (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) #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 (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) #s(hole binary64 (* U (+ (* -1/48 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))))))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) #s(hole binary64 (* U (+ (* (pow U 2) (- (* 3/1280 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/48 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))))))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) #s(hole binary64 (* U (+ (* (pow U 2) (- (* (pow U 2) (+ (* -5/14336 (/ (pow U 2) (* (pow J 7) (pow (cos (* 1/2 K)) 7)))) (* 3/1280 (/ 1 (* (pow J 5) (pow (cos (* 1/2 K)) 5)))))) (* 1/48 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/2 (/ 1 (* J (cos (* 1/2 K)))))))))
#s(approx U #s(hole binary64 U))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* 1/8 (/ (pow U 2) J)))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 3))) (* 1/8 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 5))) (* 1/128 (/ 1 (pow J 3))))) (* 1/8 (/ 1 J)))))))
#s(approx (* -1/2 U) #s(hole binary64 (* -1/2 U)))
#s(approx (* U U) #s(hole binary64 (pow U 2)))
#s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) #s(hole binary64 (* 1/2 (/ J (* U (sqrt (/ 1/4 (pow J 2))))))))
#s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) #s(hole binary64 (/ (+ (* 1/2 (/ J (sqrt (/ 1/4 (pow J 2))))) (* J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) U)))
#s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J))))) #s(hole binary64 (* 1/2 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2))))))))
#s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J))))) #s(hole binary64 (/ (+ (* 1/2 (/ J (sqrt (/ 1/4 (pow J 2))))) (* J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))) (pow U 2))))
#s(approx (/ J (* (* U U) (sqrt (/ 1/4 (* J J))))) #s(hole binary64 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 2)))))))
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Calls

9 calls:

TimeVariablePointExpression
67.0ms
K
@inf
((* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (/ U (* (cos (* 1/2 K)) (+ J J))) (* 1/2 (/ U J)) (/ U J) U (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (* 1/4 (* U U))) (* -1/2 U) -1/2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* J (+ (* -1/4 (/ (* U U) (* J J))) -2)) (+ (* -1/4 (/ (* U U) (* J J))) -2) -1/4 (/ (* U U) (* J J)) (* U U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J))))) (/ J (* (* U U) (sqrt (/ 1/4 (* J J))))) (* (* U U) (sqrt (/ 1/4 (* J J)))) (sqrt (/ 1/4 (* J J))) (/ 1/4 (* J J)) 1/4 (* J (sqrt (/ 1/4 (* J J)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* -2 J) (* 1/4 (* J (* K K)))) (* 1/4 (* J (* K K))) (* J (* K K)) (* K 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)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) 2 (cos (/ K 2)) (+ (* (* K K) -1/8) 1) -1/8)
64.0ms
U
@-inf
((* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (/ U (* (cos (* 1/2 K)) (+ J J))) (* 1/2 (/ U J)) (/ U J) U (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (* 1/4 (* U U))) (* -1/2 U) -1/2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* J (+ (* -1/4 (/ (* U U) (* J J))) -2)) (+ (* -1/4 (/ (* U U) (* J J))) -2) -1/4 (/ (* U U) (* J J)) (* U U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J))))) (/ J (* (* U U) (sqrt (/ 1/4 (* J J))))) (* (* U U) (sqrt (/ 1/4 (* J J)))) (sqrt (/ 1/4 (* J J))) (/ 1/4 (* J J)) 1/4 (* J (sqrt (/ 1/4 (* J J)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* -2 J) (* 1/4 (* J (* K K)))) (* 1/4 (* J (* K K))) (* J (* K K)) (* K 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)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) 2 (cos (/ K 2)) (+ (* (* K K) -1/8) 1) -1/8)
56.0ms
J
@-inf
((* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (/ U (* (cos (* 1/2 K)) (+ J J))) (* 1/2 (/ U J)) (/ U J) U (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (* 1/4 (* U U))) (* -1/2 U) -1/2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* J (+ (* -1/4 (/ (* U U) (* J J))) -2)) (+ (* -1/4 (/ (* U U) (* J J))) -2) -1/4 (/ (* U U) (* J J)) (* U U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J))))) (/ J (* (* U U) (sqrt (/ 1/4 (* J J))))) (* (* U U) (sqrt (/ 1/4 (* J J)))) (sqrt (/ 1/4 (* J J))) (/ 1/4 (* J J)) 1/4 (* J (sqrt (/ 1/4 (* J J)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* -2 J) (* 1/4 (* J (* K K)))) (* 1/4 (* J (* K K))) (* J (* K K)) (* K 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)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) 2 (cos (/ K 2)) (+ (* (* K K) -1/8) 1) -1/8)
52.0ms
U
@0
((* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (/ U (* (cos (* 1/2 K)) (+ J J))) (* 1/2 (/ U J)) (/ U J) U (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (* 1/4 (* U U))) (* -1/2 U) -1/2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* J (+ (* -1/4 (/ (* U U) (* J J))) -2)) (+ (* -1/4 (/ (* U U) (* J J))) -2) -1/4 (/ (* U U) (* J J)) (* U U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J))))) (/ J (* (* U U) (sqrt (/ 1/4 (* J J))))) (* (* U U) (sqrt (/ 1/4 (* J J)))) (sqrt (/ 1/4 (* J J))) (/ 1/4 (* J J)) 1/4 (* J (sqrt (/ 1/4 (* J J)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* -2 J) (* 1/4 (* J (* K K)))) (* 1/4 (* J (* K K))) (* J (* K K)) (* K 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)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) 2 (cos (/ K 2)) (+ (* (* K K) -1/8) 1) -1/8)
15.0ms
J
@0
((* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (* (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 K J -2 (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (/ U (* (cos (* 1/2 K)) (+ J J))) (* 1/2 (/ U J)) (/ U J) U (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (sqrt (* 1/4 (* U U))) (* -1/2 U) -1/2 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* J (+ (* -1/4 (/ (* U U) (* J J))) -2)) (+ (* -1/4 (/ (* U U) (* J J))) -2) -1/4 (/ (* U U) (* J J)) (* U U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J))))) (/ J (* (* U U) (sqrt (/ 1/4 (* J J))))) (* (* U U) (sqrt (/ 1/4 (* J J)))) (sqrt (/ 1/4 (* J J))) (/ 1/4 (* J J)) 1/4 (* J (sqrt (/ 1/4 (* J J)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* -2 J) (* 1/4 (* J (* K K)))) (* 1/4 (* J (* K K))) (* J (* K K)) (* K 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)))) (* (* 2 J) (cos (/ K 2))) (* 2 J) 2 (cos (/ K 2)) (+ (* (* K K) -1/8) 1) -1/8)

rewrite960.0ms (15.3%)

Memory
-155.4MiB live, 466.8MiB allocated; 1.1s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0182443567
0188341751
0845840774
11386640774
Stop Event
saturated
node-limit
iter-limit
Counts
305 → 348
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
J
#s(literal -2 binary64)
(cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))
(asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
#s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(/.f64 U J)
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)))
(*.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 (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U)))
#s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))
(*.f64 #s(literal -1/2 binary64) U)
#s(literal -1/2 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 J (fma.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 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -2 binary64))))
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -2 binary64))
#s(literal -1/4 binary64)
(/.f64 (*.f64 U U) (*.f64 J J))
(*.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 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))
(*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))
(/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))
(*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))
(/.f64 #s(literal 1/4 binary64) (*.f64 J J))
#s(literal 1/4 binary64)
(*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))
(*.f64 #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))))) (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)))))
#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)))))
(fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))
(*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))
(*.f64 J (*.f64 K K))
(*.f64 K K)
(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)))
#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 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 (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))
#s(literal -1/8 binary64)
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#s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) #s(hole binary64 (* -1 (* U (+ (* -1 (* J (sqrt (/ 1/4 (pow J 2))))) (* -1/2 (/ J (* (pow U 2) (sqrt (/ 1/4 (pow J 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))))))))
#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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 1 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (fabs.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
J
#s(literal -2 binary64)
(/.f64 (+.f64 (exp.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))) (exp.f64 (neg.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
(cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))
(sqrt.f64 (fma.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 1 binary64)))
(asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(log.f64 (+.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) (sqrt.f64 (fma.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 1 binary64)))))
#s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(/.f64 (neg.f64 U) (neg.f64 J))
(/.f64 U J)
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)))
(*.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 (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U)))
#s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))
(*.f64 #s(literal -1/2 binary64) U)
#s(literal -1/2 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 J (fma.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 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -2 binary64))))
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -2 binary64))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -2 binary64))
#s(literal -1/4 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 (fabs.f64 U) #s(literal 2 binary64))
(pow.f64 (neg.f64 U) #s(literal 2 binary64))
(pow.f64 U #s(literal 2 binary64))
(fabs.f64 (*.f64 U U))
(*.f64 (fabs.f64 J) (fabs.f64 J))
(*.f64 (neg.f64 J) (neg.f64 J))
(*.f64 J J)
(pow.f64 (fabs.f64 J) #s(literal 2 binary64))
(pow.f64 (neg.f64 J) #s(literal 2 binary64))
(pow.f64 J #s(literal 2 binary64))
(fabs.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 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))
(*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))
(/.f64 (neg.f64 J) (neg.f64 (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))))
(/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))
(*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))
(pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 J J)))
(/.f64 #s(literal 1/4 binary64) (*.f64 J J))
#s(literal 1/4 binary64)
(*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))
(*.f64 #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))))) (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)))))
#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)))))
(fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))
(*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))
(*.f64 J (*.f64 K K))
(*.f64 (fabs.f64 K) (fabs.f64 K))
(*.f64 (neg.f64 K) (neg.f64 K))
(*.f64 K K)
(pow.f64 (fabs.f64 K) #s(literal 2 binary64))
(pow.f64 (neg.f64 K) #s(literal 2 binary64))
(pow.f64 K #s(literal 2 binary64))
(fabs.f64 (*.f64 K K))
(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))))
(fabs.f64 (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)))
#s(literal 1 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 (fabs.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 (neg.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))
(fabs.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)))
(/.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)
#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 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) #s(literal 1 binary64))
#s(literal -1/8 binary64)
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (+.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 #s(literal -1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 #s(literal -1 binary64) (log.f64 J))))))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (*.f64 J (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (+.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 #s(literal -1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 #s(literal -1 binary64) (log.f64 J))))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 J J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (+.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 #s(literal -1 binary64) (log.f64 J)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.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 (exp.f64 (+.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 #s(literal -1 binary64) (log.f64 J)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))))))))))
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#s(approx (* (* (cos (* 1/2 K)) J) -2) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (cos (* 1/2 K)) J) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx J J)
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#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (+.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.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 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.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 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 5/2 binary64)) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.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 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))))
#s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* 1/2 (/ U J)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
#s(approx (/ U J) (/.f64 U 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)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #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)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #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) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.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) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.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) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.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 (* J (+ (* -1/4 (/ (* U U) (* J J))) -2)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))
#s(approx (* J (+ (* -1/4 (/ (* U U) (* J J))) -2)) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 J J) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) J))
#s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))
#s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 J J) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.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 (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 #s(literal 1/2 binary64) U))
#s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)))
#s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J))))) #s(literal 1/2 binary64))
#s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J))))) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))
#s(approx (/ J (* (* U U) (sqrt (/ 1/4 (* J J))))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))
#s(approx (* (* U U) (sqrt (/ 1/4 (* J J)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) J)))
#s(approx (sqrt (/ 1/4 (* J J))) (/.f64 #s(literal 1/2 binary64) J))
#s(approx (/ 1/4 (* J J)) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))
#s(approx (+ (* -2 J) (* 1/4 (* J (* K K)))) (*.f64 J (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) #s(literal 2 binary64))))
#s(approx (* 1/4 (* J (* K K))) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))
#s(approx (* J (* K K)) (*.f64 J (*.f64 K K)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J J) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #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 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 5/2 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) #s(literal -3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))) J))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 J J)) (*.f64 J J)))
#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 (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (*.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 (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 (*.f64 J J) J))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/8 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(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 (*.f64 J J) J)))))))
#s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) #s(literal 1 binary64))
#s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))
#s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (+.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 J J) J)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (+.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 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(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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) 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#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (/.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))) J))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (/.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J)))) J))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (/.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) 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 #s(literal -2 binary64) J))
#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 (+ (* -1/4 (/ (* U U) (* J J))) -2) #s(literal -2 binary64))
#s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal 2 binary64)))
#s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (/.f64 (*.f64 J J) U))
#s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J J)) (/.f64 #s(literal 1 binary64) U))))
#s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J))))) (/.f64 (*.f64 J J) (*.f64 U U)))
#s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 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 #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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))
#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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (*.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)))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (*.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)))) (fma.f64 #s(literal 2 binary64) (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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 (*.f64 J J) J)))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (/.f64 (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 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(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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (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 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#s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 J J) J))))))
#s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (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 -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)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))) J)))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (*.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) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) 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 (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 J J) U)))
#s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J J))) (/.f64 #s(literal 1 binary64) U))))
#s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))
#s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U))))))
#s(approx (/ J (* (* U U) (sqrt (/ 1/4 (* J J))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))
#s(approx (* (* U U) (sqrt (/ 1/4 (* J J)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U U) J)))
#s(approx (sqrt (/ 1/4 (* J J))) (/.f64 #s(literal -1/2 binary64) J))
#s(approx (* J (sqrt (/ 1/4 (* J J)))) #s(literal -1/2 binary64))
#s(approx (+ (* -2 J) (* 1/4 (* J (* K K)))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (*.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)))))))))
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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 (* (* (cos (* 1/2 K)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
#s(approx (* (* (cos (* 1/2 K)) J) -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 (* (* (cos (* 1/2 K)) J) -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 (* 1/2 K)) J) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)))))
#s(approx (* (cos (* 1/2 K)) J) (+.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) J (*.f64 #s(literal 1/384 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* (cos (* 1/2 K)) J) (+.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/384 binary64) J)))))))
#s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))
#s(approx (cos (* 1/2 K)) (+.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 (* 1/2 K)) (+.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 (* 1/2 K) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (*.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 (* (cos (* 1/2 K)) (+ J J))))) (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 (* (cos (* 1/2 K)) (+ J J))))) (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 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)))))))) (*.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 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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 (* (cos (* 1/2 K)) (+ J J))) (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 (* (cos (* 1/2 K)) (+ J J))) (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 (* (cos (* 1/2 K)) (+ J J))) (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 (* (* (* -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) (*.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) (*.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 1/16 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 (* (* 2 J) (cos (/ K 2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 2 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 #s(literal 1/192 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 -1/4 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 (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (*.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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))))
#s(approx (cos (* 1/2 K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))))
#s(approx (+ (* -2 J) (* 1/4 (* J (* K K)))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -2 binary64) (/.f64 J (*.f64 K K)) (*.f64 #s(literal 1/4 binary64) J))))
#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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#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 (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (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 (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (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 (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (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 (* (cos (* 1/2 K)) (+ J J))))) (+.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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))
#s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) (+.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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (*.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 (* (cos (* 1/2 K)) (+ J J)))) (*.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 (* (cos (* 1/2 K)) (+ J J)))) (*.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 U U)
#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 (* -1/2 U) (*.f64 #s(literal -1/2 binary64) U))
#s(approx (* U U) (*.f64 U U))
#s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))
#s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (*.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))) U))
#s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))
#s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (*.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))) (*.f64 U U)))
#s(approx (/ J (* (* U U) (sqrt (/ 1/4 (* J J))))) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))))
#s(approx (* (* U U) (sqrt (/ 1/4 (* J J)))) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))
#s(approx (* (* (* (cos (* 1/2 K)) J) -2) (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (+.f64 (log.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 U))))) (exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 U)))))))))))
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#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (+.f64 (log.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 U)) (fma.f64 #s(literal -1/24 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))) (pow.f64 U #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (+.f64 (log.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 U)) (fma.f64 #s(literal -1/24 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 5/2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (*.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))))
#s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (fma.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 U (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (fma.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))))
#s(approx (* J (+ (* -1/4 (/ (* U U) (* J J))) -2)) (*.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 J (*.f64 U U))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) J)))))
#s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J J)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))))
#s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))
#s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 U (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 U (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 3/2 binary64))))))))
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#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (+.f64 (log.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) U)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (+.f64 (log.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))) (pow.f64 U #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))))
#s(approx (asinh (/ U (* (cos (* 1/2 K)) (+ J J)))) (+.f64 (log.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 5/2 binary64)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 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)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #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)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (*.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (fma.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (fma.f64 #s(literal -1 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))))))))
#s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1 binary64) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))) (*.f64 #s(literal -1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (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 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U U) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #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) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))))))))

eval64.0ms (1%)

Memory
-29.2MiB live, 100.9MiB allocated; 19ms collecting garbage
Compiler

Compiled 22 802 to 2 563 computations (88.8% saved)

prune40.0ms (0.6%)

Memory
11.4MiB live, 110.9MiB allocated; 10ms collecting garbage
Pruning

27 alts after pruning (20 fresh and 7 done)

PrunedKeptTotal
New29611307
Fresh7916
Picked235
Done145
Total30627333
Accuracy
99.9%
Counts
333 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.8%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 1 binary64))))
85.5%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))
72.4%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
54.1%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) #s(literal 1 binary64)))
53.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) #s(literal 1 binary64)))
10.9%
(*.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 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)))))
72.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
32.6%
(*.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)))))))
48.3%
(*.f64 #s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
32.6%
(*.f64 #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))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))))))
54.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (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)))
36.1%
#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 U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
48.1%
#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)))
21.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) (*.f64 (*.f64 U U) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))) J) #s(literal -2 binary64)))
17.7%
#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 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) J) #s(literal -2 binary64)))
10.4%
#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) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (/.f64 J (*.f64 (*.f64 U U) #s(approx (sqrt (/ 1/4 (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) (*.f64 J #s(approx (sqrt (/ 1/4 (* J J))) (/.f64 #s(literal -1/2 binary64) J)))))) #s(literal -2 binary64)))
39.5%
#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) (*.f64 U #s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J))))) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
4.7%
#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 (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (/.f64 (*.f64 J J) U))) #s(literal -2 binary64)))
14.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J J)) (/.f64 #s(literal 1 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 (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 J J) U)))) #s(literal -2 binary64)))
11.5%
#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 (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
33.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
30.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -2 binary64)))))
35.3%
#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 J (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -2 binary64)))))
34.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J #s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) #s(literal -2 binary64)))))
19.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(approx (* J (+ (* -1/4 (/ (* U U) (* J J))) -2)) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 J J) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) J))))
3.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/.f64 #s(approx (* U (cos (* 1/2 K))) U) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
Compiler

Compiled 2 128 to 1 328 computations (37.6% saved)

regimes238.0ms (3.8%)

Memory
0.2MiB live, 268.6MiB allocated; 39ms 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 (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J #s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) #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)))
#s(approx (* (* (* -2 J) (cos (/ 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) (*.f64 U #s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J 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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* 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) (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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 #s(literal -1 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)))) #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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (sqrt.f64 (/.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 (*.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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(approx (* J (+ (* -1/4 (/ (* U U) (* J J))) -2)) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 J J) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) 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 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U 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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 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 J (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U 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 (*.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) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J J)) (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) (*.f64 (*.f64 U U) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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 (* (* (* -2 J) (cos (/ 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 (sqrt (/ 1/4 (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) (*.f64 J #s(approx (sqrt (/ 1/4 (* 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 (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)))))))
(*.f64 #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))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.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 J) (/ U J)) 1/4) 1)) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U 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 #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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #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 -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/.f64 #s(approx (* U (cos (* 1/2 K))) U) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U 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 #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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))) #s(literal -2 binary64)))
(*.f64 #s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) #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 #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))))) (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)) (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(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 #s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) (+.f64 J J))))))
(*.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)))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) (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 (fma.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) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fabs.f64 (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)))) #s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 #s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) (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 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (+.f64 J J) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.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 #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 (* (* (* -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 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))
(*.f64 (*.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 (*.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 1/4 binary64) J) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.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 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U))))) U)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)))))
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)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #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) #s(approx (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
Calls

6 calls:

78.0ms
J
74.0ms
(*.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)))))
25.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
18.0ms
U
17.0ms
K
Results
AccuracySegmentsBranch
85.5%1(/.f64 K #s(literal 2 binary64))
85.5%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
99.5%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)))))
93.0%2J
85.5%1K
92.2%2U
Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes17.0ms (0.3%)

Memory
35.7MiB live, 35.7MiB allocated; 0ms collecting garbage
Counts
57 → 3
Calls
Call 1
Inputs
#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 J #s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) #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)))
#s(approx (* (* (* -2 J) (cos (/ 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) (*.f64 U #s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J 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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* 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) (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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 #s(literal -1 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)))) #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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (sqrt.f64 (/.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 (*.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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(approx (* J (+ (* -1/4 (/ (* U U) (* J J))) -2)) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 J J) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) 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 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U 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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 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 J (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U 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 (*.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) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J J)) (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) (*.f64 (*.f64 U U) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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 (* (* (* -2 J) (cos (/ 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 (sqrt (/ 1/4 (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) (*.f64 J #s(approx (sqrt (/ 1/4 (* 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 (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)))))))
(*.f64 #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))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.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 J) (/ U J)) 1/4) 1)) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U 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 #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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #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 -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/.f64 #s(approx (* U (cos (* 1/2 K))) U) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U 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 #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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))) #s(literal -2 binary64)))
(*.f64 #s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) #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 #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))))) (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)) (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(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 #s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) (+.f64 J J))))))
(*.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)))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) (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 (fma.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) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fabs.f64 (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)))) #s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 #s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) (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 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (+.f64 J J) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.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 #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 (* (* (* -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 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))
(*.f64 (*.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 (*.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 1/4 binary64) J) #s(literal 1 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)))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))
#s(approx (* (* (* -2 J) (cos (/ 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:

13.0ms
(*.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
98.1%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes19.0ms (0.3%)

Memory
-10.2MiB live, 33.8MiB allocated; 4ms collecting garbage
Counts
55 → 3
Calls
Call 1
Inputs
#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 J #s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) #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)))
#s(approx (* (* (* -2 J) (cos (/ 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) (*.f64 U #s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J 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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* 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) (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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 #s(literal -1 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)))) #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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (sqrt.f64 (/.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 (*.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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(approx (* J (+ (* -1/4 (/ (* U U) (* J J))) -2)) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 J J) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) 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 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U 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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 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 J (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U 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 (*.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) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J J)) (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) (*.f64 (*.f64 U U) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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 (* (* (* -2 J) (cos (/ 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 (sqrt (/ 1/4 (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) (*.f64 J #s(approx (sqrt (/ 1/4 (* 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 (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)))))))
(*.f64 #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))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.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 J) (/ U J)) 1/4) 1)) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U 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 #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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #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 -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/.f64 #s(approx (* U (cos (* 1/2 K))) U) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U 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 #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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))) #s(literal -2 binary64)))
(*.f64 #s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) #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 #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))))) (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)) (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(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 #s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) (+.f64 J J))))))
(*.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)))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) (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 (fma.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) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fabs.f64 (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)))) #s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 #s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) (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 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (+.f64 J J) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.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 #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 (* (* (* -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 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))))))
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)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J)))))))
#s(approx (* (* (* -2 J) (cos (/ 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:

16.0ms
(*.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
98.1%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes66.0ms (1%)

Memory
-17.5MiB live, 86.2MiB allocated; 26ms collecting garbage
Counts
54 → 3
Calls
Call 1
Inputs
#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 J #s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) #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)))
#s(approx (* (* (* -2 J) (cos (/ 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) (*.f64 U #s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J 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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* 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) (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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 #s(literal -1 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)))) #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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (sqrt.f64 (/.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 (*.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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(approx (* J (+ (* -1/4 (/ (* U U) (* J J))) -2)) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 J J) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) 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 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U 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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 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 J (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U 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 (*.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) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J J)) (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) (*.f64 (*.f64 U U) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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 (* (* (* -2 J) (cos (/ 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 (sqrt (/ 1/4 (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) (*.f64 J #s(approx (sqrt (/ 1/4 (* 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 (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)))))))
(*.f64 #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))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.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 J) (/ U J)) 1/4) 1)) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U 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 #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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #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 -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/.f64 #s(approx (* U (cos (* 1/2 K))) U) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U 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 #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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))) #s(literal -2 binary64)))
(*.f64 #s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) #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 #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))))) (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)) (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(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 #s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) (+.f64 J J))))))
(*.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)))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) (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 (fma.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) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fabs.f64 (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)))) #s(approx (* (* J -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 #s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (+.f64 J J)))) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) (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 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (+.f64 J J) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (fabs.f64 (cos.f64 (*.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 #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 (* (* (* -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)))) (*.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)))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #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

3 calls:

29.0ms
(*.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)))))
19.0ms
U
14.0ms
J
Results
AccuracySegmentsBranch
84.7%2U
87.9%2J
91.5%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 24 to 23 computations (4.2% saved)

regimes62.0ms (1%)

Memory
30.4MiB live, 123.2MiB allocated; 4ms collecting garbage
Counts
36 → 6
Calls
Call 1
Inputs
#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 J #s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) #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)))
#s(approx (* (* (* -2 J) (cos (/ 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) (*.f64 U #s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J 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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* 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) (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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 #s(literal -1 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)))) #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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (sqrt.f64 (/.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 (*.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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(approx (* J (+ (* -1/4 (/ (* U U) (* J J))) -2)) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 J J) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) 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 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U 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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 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 J (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U 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 (*.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) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J J)) (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) (*.f64 (*.f64 U U) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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 (* (* (* -2 J) (cos (/ 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 (sqrt (/ 1/4 (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) (*.f64 J #s(approx (sqrt (/ 1/4 (* 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 (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)))))))
(*.f64 #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))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.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 J) (/ U J)) 1/4) 1)) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U 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 #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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #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 -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/.f64 #s(approx (* U (cos (* 1/2 K))) U) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U 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 #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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))) #s(literal -2 binary64)))
(*.f64 #s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) #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 #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))))) (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)) (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(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 #s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) (+.f64 J J))))))
(*.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)))))
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)))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) #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:

12.0ms
J
10.0ms
K
9.0ms
U
9.0ms
(/.f64 K #s(literal 2 binary64))
9.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
74.9%4U
69.5%2(/.f64 K #s(literal 2 binary64))
69.5%2K
78.9%5(cos.f64 (/.f64 K #s(literal 2 binary64)))
76.5%3J
90.9%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)

regimes32.0ms (0.5%)

Memory
-34.3MiB live, 20.2MiB allocated; 28ms collecting garbage
Counts
35 → 5
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J #s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) #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)))
#s(approx (* (* (* -2 J) (cos (/ 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) (*.f64 U #s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J 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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* 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) (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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 #s(literal -1 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)))) #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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (sqrt.f64 (/.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 (*.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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(approx (* J (+ (* -1/4 (/ (* U U) (* J J))) -2)) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 J J) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) 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 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U 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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 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 J (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U 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 (*.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) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J J)) (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) (*.f64 (*.f64 U U) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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 (* (* (* -2 J) (cos (/ 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 (sqrt (/ 1/4 (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) (*.f64 J #s(approx (sqrt (/ 1/4 (* 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 (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)))))))
(*.f64 #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))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.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 J) (/ U J)) 1/4) 1)) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U 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 #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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #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 -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/.f64 #s(approx (* U (cos (* 1/2 K))) U) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U 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 #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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))) #s(literal -2 binary64)))
(*.f64 #s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) #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 #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))))) (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)) (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(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) J) #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 U (*.f64 #s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) (+.f64 J J))))))
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)))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) #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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (cosh (asinh (/ U (* (cos (* 1/2 K)) (+ J J))))) #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

1 calls:

29.0ms
(*.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
88.6%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)

regimes9.0ms (0.2%)

Memory
20.2MiB live, 20.2MiB allocated; 0ms collecting garbage
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J #s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) #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)))
#s(approx (* (* (* -2 J) (cos (/ 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) (*.f64 U #s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J 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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* 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) (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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 #s(literal -1 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)))) #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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (sqrt.f64 (/.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 (*.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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(approx (* J (+ (* -1/4 (/ (* U U) (* J J))) -2)) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 J J) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) 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 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U 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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 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 J (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U 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 (*.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) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J J)) (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) (*.f64 (*.f64 U U) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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 (* (* (* -2 J) (cos (/ 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 (sqrt (/ 1/4 (* J J))) (/.f64 #s(literal -1/2 binary64) J)))) (*.f64 J #s(approx (sqrt (/ 1/4 (* 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 (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)))))))
(*.f64 #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))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.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 J) (/ U J)) 1/4) 1)) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U 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 #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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #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 -2) (* (* U (cos (* 1/2 K))) (/ (sqrt (/ 1/4 (* J J))) (fabs (cos (* 1/2 K)))))) (/.f64 #s(approx (* U (cos (* 1/2 K))) U) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 U 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 #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) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))) (*.f64 J (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))))))) #s(literal -2 binary64)))
(*.f64 #s(approx (* (* (cos (* 1/2 K)) J) -2) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (cosh.f64 (asinh.f64 #s(approx (/ U (* (cos (* 1/2 K)) (+ J J))) (*.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)))) (*.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 (*.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:

7.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
80.2%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes22.0ms (0.4%)

Memory
-5.7MiB live, 42.8MiB allocated; 3ms collecting garbage
Counts
16 → 5
Calls
Call 1
Inputs
#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 J #s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) #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)))
#s(approx (* (* (* -2 J) (cos (/ 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) (*.f64 U #s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J 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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* 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) (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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 #s(literal -1 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)))) #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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (sqrt.f64 (/.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 (*.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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(approx (* J (+ (* -1/4 (/ (* U U) (* J J))) -2)) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 J J) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) 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 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U 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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 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 J (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U 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 (*.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)))) (*.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 (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #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 (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
Calls

4 calls:

8.0ms
J
5.0ms
U
4.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
4.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
58.0%3U
56.3%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
60.7%3J
75.0%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 28 to 29 computations (-3.6% saved)

regimes16.0ms (0.2%)

Memory
-14.7MiB live, 32.0MiB allocated; 3ms collecting garbage
Counts
15 → 4
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J #s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) #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)))
#s(approx (* (* (* -2 J) (cos (/ 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) (*.f64 U #s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J 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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* 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) (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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 #s(literal -1 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)))) #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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (sqrt.f64 (/.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 (*.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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(approx (* J (+ (* -1/4 (/ (* U U) (* J J))) -2)) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 J J) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) 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 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U 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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 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 J (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U 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 (*.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)))) (*.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 (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (* (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 (sqrt (* 1/4 (* U U))) (*.f64 #s(literal -1/2 binary64) U))) #s(literal -2 binary64)))
Calls

3 calls:

6.0ms
K
4.0ms
(/.f64 K #s(literal 2 binary64))
4.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
47.5%2(/.f64 K #s(literal 2 binary64))
47.5%2K
69.7%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 26 to 25 computations (3.8% saved)

regimes4.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Counts
12 → 4
Calls
Call 1
Inputs
#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 J #s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) #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)))
#s(approx (* (* (* -2 J) (cos (/ 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) (*.f64 U #s(approx (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J 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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* 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) (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) #s(approx (* U (+ (* 1/2 (/ J (* (* U U) (sqrt (/ 1/4 (* J J)))))) (* J (sqrt (/ 1/4 (* J J)))))) (*.f64 #s(literal -1 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)))) #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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 U (sqrt.f64 (/.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 (*.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)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) #s(approx (* J (+ (* -1/4 (/ (* U U) (* J J))) -2)) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 J J) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) 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 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J 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 (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J #s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) #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)))
#s(approx (* (* (* -2 J) (cos (/ 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:

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
69.6%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes8.0ms (0.1%)

Memory
22.7MiB live, 22.7MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J #s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) #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)))
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 (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J #s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) #s(literal -2 binary64)))))
Calls

6 calls:

1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms
J
1.0ms
K
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
42.1%2(/.f64 K #s(literal 2 binary64))
42.1%2K
44.5%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
34.6%1U
38.9%2J
44.5%2(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes6.0ms (0.1%)

Memory
-33.8MiB live, 13.1MiB allocated; 1ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J #s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) #s(literal -2 binary64)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) J) -2) (*.f64 J #s(approx (+ (* -1/4 (/ (* U U) (* J J))) -2) #s(literal -2 binary64)))))
Calls

5 calls:

1.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
K
1.0ms
J
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
34.6%1J
34.6%1(/.f64 K #s(literal 2 binary64))
34.6%1K
34.6%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)))))
34.6%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 31 to 34 computations (-9.7% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.338878089851003e+304
+inf
0.0ms
-inf
-1.0056714988647123e+306
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.338878089851003e+304
+inf
0.0ms
-inf
-1.0056714988647123e+306
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.338878089851003e+304
+inf
0.0ms
-inf
-1.0056714988647123e+306
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.338878089851003e+304
+inf
0.0ms
-inf
-1.0056714988647123e+306
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.338878089851003e+304
+inf
0.0ms
-3.9754407610365337e-243
-1.867579398419359e-269
0.0ms
-4.129997433641135e-55
-4.030650109725013e-62
0.0ms
-5.080919312607692e+177
-2.0668297442467973e+176
0.0ms
-inf
-1.0056714988647123e+306
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.338878089851003e+304
+inf
0.0ms
-3.9754407610365337e-243
-1.867579398419359e-269
0.0ms
-6.10587639495992e+22
-4.464395319353477e+22
0.0ms
-inf
-1.0056714988647123e+306
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
-3.824252371930925e-306
1.1286767109414362e-233
0.0ms
-inf
-1.0056714988647123e+306
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.824252371930925e-306
1.1286767109414362e-233
0.0ms
-3.1229747791666057e-121
-1.8135766029097565e-123
0.0ms
-5.080919312607692e+177
-2.0668297442467973e+176
0.0ms
-inf
-1.0056714988647123e+306
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
-3.824252371930925e-306
1.1286767109414362e-233
0.0ms
-3.1229747791666057e-121
-1.8135766029097565e-123
0.0ms
-inf
-1.0056714988647123e+306
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
-3.824252371930925e-306
1.1286767109414362e-233
0.0ms
-3.1229747791666057e-121
-1.8135766029097565e-123
0.0ms
-inf
-1.0056714988647123e+306
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch31.0ms (0.5%)

Memory
-3.3MiB live, 45.8MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
-0.05893196310315457
0.00617244286521249
Samples
18.0ms240×0valid
Compiler

Compiled 1 164 to 1 074 computations (7.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult!: 5.0ms (39.2% of total)
ival-add!: 3.0ms (23.5% of total)
ival-sqrt: 2.0ms (15.7% of total)
ival-pow2: 2.0ms (15.7% of total)
ival-div!: 1.0ms (7.8% of total)
adjust: 0.0ms (0% of total)

derivations183.0ms (2.9%)

Memory
27.0MiB live, 72.8MiB allocated; 5ms collecting garbage
Stop Event
fuel
Compiler

Compiled 275 to 166 computations (39.6% saved)

preprocess414.0ms (6.6%)

Memory
16.8MiB live, 763.8MiB allocated; 110ms collecting garbage
Remove

(negabs J)

(abs U)

(abs K)

Compiler

Compiled 10 281 to 8 407 computations (18.2% saved)

end0.0ms (0%)

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

Profiling

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